I need help with these question! Please do step by step :)

I Need Help With These Question! Please Do Step By Step :)

Answers

Answer 1

Answer:

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

Step-by-step explanation:

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

She need 3 pounds of Chocolate chip cookies and Walnuts

Let us represent

Number of bags of chocolate chip cookies = x

Number of bags of walnuts = y

She need 3 pounds of Chocolate chip cookies and Walnuts

Hence,

We have to convert oz (ounces) to pounds

For chocolate chip cookies

1 oz = 0.0625 pound

12 oz = x

Cross Multiply

x = 12 × 0.0625 pound

x = 0.75pound

For Walnuts

1 oz = 0.0625 pound

4 oz = x

Cross Multiply

x = 4 × 0.0625 pound

x = 0.25pound

Hence,

0.75 pound = $3

0.25 pounds = $2

She can only spend $15

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

Hence,

0.75x + 0.25y = 3..... Equation 1

3x + 2y = 15.... Equation 2

Multiply Equation 1 by 2 and Equation 2 by 0.25

1.5x + 0.5y = 3... Equation 3

1.5x + 4y = 30.... Equation 4

Subtract Equation 3 from 4

3.5y = 27

y = 27/3.5

y = 7.7 bags

Solving for x using Equation 2

3x + 2y = 15.... Equation 2

3x + 2(7.7) = 15

3x + 15.4 = 15

3x = 0.4

x = 0.4/3

x = 0.133 bags

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags


Related Questions

For the following image state the corresponding part based on a specific segment or Angle

Answers

Your answers are correct! Well done!

How do you find the algebraic value?

Answers

Bring the variable to the left side and bring all the remaining values to the right side.

Now, According to the question:

Let's know:

What is an algebraic value?

An algebraic number is a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients. For example, the golden ratio, , is an algebraic number, because it is a root of the polynomial x2 − x − 1.

An algebraic formula is an equation or a rule written using mathematical and algebraic symbols and terms. It is an equation that involves algebraic expressions on both sides. The algebraic formula is a short quick formula to solve complex algebraic calculations.

Learn more about Algebraic Value at:

https://brainly.com/question/21443100

#SPJ4

What is the median of 1 to 50?

Answers

The median of 1 - 50 is 25.5.

The midway value in a given set of figures or data is referred to as the median. To get the average value for a given group of integers, three distinct metrics are employed in mathematics.

The first fifty numbers are 1,2,3,4,5................50

The number of terms in the data, n=50.

As the number of terms is even thus the median will be (n/2 th term + n/2 +1 th term) / 2

Median = (50/2 +50/2+1)/2

The 25th term of the sequence is 25.

The 26th term of the sequence is 26.

Median = 25+26/2 = 25.5.

Thus, the median of 1-50 is 25.5.

To know more about the median visit: brainly.com/question/300591

#SPJ4

The first fifty numbers are 1,2,3,4,5................50

The number of terms in the data, n=50.

Median = (50/2 +50/2+1)/2

The 25th term of the sequence is 25.

The 26th term of the sequence is 26.

Median = 25+26/2 = 25.5.

Thus, the median of 1-50 is 25.5.

What is the mean of following numbers 1 2 3 4 5 6 7?

Answers

The mean of following numbers is 4.

To find: mean of given numbers .

Given data : 1, 2, 3, 4, 5, 6, 7

Mean: Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Mean=[tex]\frac{Sum of all observations} {Total number of observations}[/tex]

Here, sum of observations =1+2+3+4+5+6+7=28

sum of observations=28

Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data

Total number of observations =7

The number of observations provides information on the total number of values that are contained in the Dataset. This property is intended to provide an indication of the size of a Dataset.

Substituting values in above formula,

=[tex]\frac{28}{7}[/tex]=4

Therefore, the mean is 4.

For more such questions about mean

https://brainly.com/question/20892773

#SPJ4

The image point of A after a translation right 4 units and up 4 units is the point B (3,8). Determine the coordinates of the pre image point A

Answers

The coordinate of the image point A (-1, 4).

What is translation?  

In mathematics, a translation is an up, down, left, or right movement of shapes. Because the translated shapes appear to be identically similar in size to the original ones, they are congruent with one another.

The Rule of Translation of points is given by (x, y) → (x ± h, y ± k)

where the horizontal and vertical shiftings are h units and k units, respectively.

Given that

The image point of A after a translation right 4 units and up 4 units is the point B

Let A(x, y) be the point that translated to right 4 units and up 4 units

According to the given formula

(x, y) → (x ± h, y ± k)

Since the point is translated to right and up

=> (x, y) → (x + h, y + k)  

=> (x, y) → (x + 4, y + 4)

From the given data the final point is B(3, 8)

=> (x + 4, y + 4) = (3, 8)  

=> x + 4 = 3  and  y + 4 = 8

=> x + 4 = 3      

=> x = 3 - 4 = -1

=> x = -`1          

=> y + 4 = 8  

=> y = 8 - 4

=> y = 4  

Therefore,

The coordinate of the image point A (-1, 4).

Learn more about Translation at

brainly.com/question/13007985

#SPJ1

I need help with this question.

Answers

Answer:

49

Step-by-step explanation:

Vertical angles are congruent.

8x-23=6x-5

8x-6x=23-5

2x=18

divide

x=9

8(9)-23

=49

if l brought a computer for $1500.00 and used my 75% off coupon. How much was the computer originally?

Answers

Answer:

$6000

Step-by-step explanation:

So, we know that

$1500 = 25%

We find 1% by taking

1500 divided by 25% = $60

We have to find the 75% off by taking

60 times 75 = $4500

Then we have to find the original price by taking

4500 + 1500 = $6000

So, the original price is $6000

Answer:

$6000

Step-by-step explanation:

The total cost is 100%

The discount was 75%

then:

100% - 75% = 25%

The percentage paid was:

25%

then:

$1500 ⇒ 25%

$A ⇒ 100%

A = 1500*100/25 = 6000

A = $6000

Which of the following expressions are polynomials? Justify your answer:
(i) 8
(ii) sqrt 3​x^2 −2x
(iii) 1− sqrt 5x

(iv) 1/5x −2 +5x+7
(v) (x−2)(x−4)/x

(vi) 1/x+1

(vii) 1/7 a^3 −1/sqrt 3a^2 +4a−7
(viii) 1/2x

Answers

(i), (ii), (iv) and (vii) are the given expressions that represents polynomial.

What is polynomial?

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Name three types of polynomial.

Monomial, binomial and trinomial are the three types of polynomials.

A polynomial may contain exponents, constants, and variables, but it never divides by a variable.

There cannot be a negative exponent in a polynomial.

No variable at all, one variable, two variables, or more are all possible for polynomials.

Exponents can only be multiples of 0, 1, or 2, not fractions.

Based on above definitions (i), (ii), (iv) and (vii) are the given expressions that represents polynomial.

To learn more about polynomials visit the link;

https://brainly.com/question/2833285

#SPJ4

if there is $0.95 per 10 oz, how much dollars is 1 oz?

Answers

The cost of 1 oz in dollars if 10 oz cost $0.95 is $0.095

How much is 1 oz?

Based on the given concept; we can solve by using ratio

Cost of 10 oz = $0.95

Cost of 1 oz = x

Equate the ratio of number of oz to cost in dollars

10 : 0.95 = 1 : x

10/0.95 = 1/x

cross product

10 × x = 0.95 × 1

10x = 0.95

divide both sides by 10

x = 0.95/10

x = $0.095

In conclusion, 1 oz cost $0.095

Read more on ratio:

https://brainly.com/question/2328454

#SPJ1

For what value of k is 4x 2 )+ 8xy KY 2 )= 9 the equation of a pair of straight lines a 0 B 4 C 9 D 9?

Answers

The equation 4x²+8xy+ky²-9 = 0 will have a pair of straight lines when k = 0.

What is an auxiliary equation?

An equation obtained from the standard form of a linear differential equation by replacing the right member by zero.

Given that, an equation having a pair of straight line 4x²+8xy+ky²-9 = 0

The auxiliary equation of a line is given by, ax²+2hxy+by²+2gx+2fy+c = 0

or, abc-2fgh-af²-bg²-ch²= 0

Comparing with the given equation,

a = 4, h = 4, b = k, g = 0, f = 0 and c = -9

4k(-9)+0-0-0+9(4)² = 0

36k = 144

k = 4

Hence, The equation 4x²+8xy+ky²-9 = 0 will have a pair of straight lines when k = 0.

For more references on auxiliary equation, click;

https://brainly.com/question/18521479

#SPJ4

The diameter of a circle is 6 cm. What is the area of the circle to the nearest square meter?

Answers

Answer:

0.002827 m^2

Step-by-step explanation:

A = pi * r^2

d = 2r

r = 3 cm = 0.03 m

A = pi * (0.03) ^ 2

A = 0.002827 m^2

The area of the circle is - 0.028 [tex]m^{2}[/tex]

The diameter (D) of a circle - 6cm

A diameter is a line that passes through the center of a circle and meets the circumference at the opposite site.The radius of a circle is the distance between the center point to any other point on the circle.The diameter is equal to half of the radius(r).

                          D=[tex]\frac{r}{2}[/tex]

The radius of a circle is = [tex]\frac{6}{2}[/tex] cm

                                      = 3 cm  = 0.03 meter

Now,  

       The formula of the area of a circle  = π[tex]r^{2}[/tex]

                    (the value of π = [tex]\frac{22}{7}[/tex] )

        Area of a circle = [tex]\frac{22}{7}[/tex] * [tex](0.03)^{2}[/tex]   [tex]m^{2}[/tex]

                                  =[tex]\frac{22}{7}[/tex] * 0.0009 [tex]m^{2}[/tex]

                                  = 0.028 [tex]m^{2}[/tex]

∴ The area of the circle is - 0.028 [tex]m^{2}[/tex]

Read more about an area of a circle :

https://brainly.com/question/12269818

       

What is distribution of sample in R?

Answers

The repeated sampling of a population is known as distribution of sample in R.

What is sampling distribution?

The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution. The frequency distribution of a variety of possible outcomes for a population statistic makes up the sampling distribution of a specific population.

What is distribution?

The relationship between observations of various heights is described by the distribution, a mathematical function. Simply said, a distribution is a grouping of data, or scores, on a variable. These scores are typically listed from smallest to largest, after which they might be displayed graphically.

The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.

To learn more about sampling distribution visit the link:

https://brainly.com/question/12892403

#SPJ4

Julie wanted to match Lisa's obstacle course record of 74.6 seconds. She has already spent forty and one-fourth seconds on wall climbing and 10.56 seconds on the ropes. How much time did she have left to match the record?

23.79 seconds
29.69 seconds
34.35 seconds
64.04 seconds

Answers

Julie has spent 40.25 + 10.56 = <<40.25+10.56=50.81>>50.81 seconds on wall climbing and the ropes.

She needs to complete the course in 74.6 - 50.81 = <<74.6-50.81=23.79>>23.79 seconds to match Lisa's record. Answer: \boxed{23.79}.

How do you find the mean of 4?

Answers

5 is the required mean of the given values 4 and 6.

What is mean?

The mean is a specific type of average.

A list of values, such as measurements or numbers, is used to calculate it by dividing the total number of values in the list by the total number of values in the list.

To find the mean, add up each value in the set.

Now, we got the values which are:

4 and 6

Mean formula: Sum of terms / Number of terms

Now, we will use the above-given formula and calculate the mean of 4 and 6 as follows:

Mean: Sum of terms / Number of terms

Mean: 10/ 2

Mean: 5

Therefore, 5 is the required mean of the given values 4 and 6.

Know more about the mean here:

brainly.com/question/1136789

#SPJ4

Complete question:

How do you find the mean of 4 and 6?

If a=b^2 c^3 and c=j^2 k^5 , which of the following is a correct expression for a in terms of b,j, and k?

Answers

Step-by-step explanation:

If a = b^2 c^3 and c = j^2 k^5, then we can substitute c = j^2 k^5 into the expression for a to get:

a = b^2 (j^2 k^5)^3

= b^2 j^6 k^15

This is a correct expression for a in terms of b, j, and k.

The correct expression for a in terms of b, j, and k is [tex]a = b^2 j^6 k^{15}[/tex].

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol be used to indicate the logical syntax's order of operations and other features.

We are given the terms as a = b^2 c^3 and c = j^2 k^5, then

we can substitute c = j^2 k^5 into the expression for a to get:

[tex]a = b^2 (j^2 k^5)^3\\= b^2 j^6 k^{15}[/tex]

Which is a correct expression for a in terms of b, j, and k.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

What is the formula for a linear function?

Answers

Answer:

There are 3 ways you can write a linear function (⭐ = most common):

⭐[tex]y = mx + b[/tex] (slope-intercept form)[tex]y-y_1 = m(x-x_1)[/tex] (point-slope form)[tex]Ax + By = C[/tex] (standard form)

Graph the line x = - 1.

Answers

Answer: see below

Step-by-step explanation:

x=-1 is a vertical line at x=-1

expand and simpfly (x-5)(x-4)

Answers

Answer:

x² -9x + 20

Step-by-step explanation:

x²-4x -5x + 20

x² - 9x + 20

How to graph linear inequalities in two variables step by step?

Answers

To graph linear inequalities with two variables separation of variables and plotting are two basic steps.

What are linear inequalities?

Mathematical expressions known as linear inequalities compare two expressions using the inequality symbol. The expression may be either a numerical or an algebraic expression, or it may be both.

Give an example of linear inequality.

3x-2y>1 is an illustration of a linear inequality. The inequality equation's LHS is in this case clearly greater than the RHS.

Step 1:Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the inequality symbol with the equality symbol.

Step 3: In the X, Y, XY, XY plane, graph the boundary line from step 2.

Step 4:The final step is to shade a portion or one side of the border line.

If your boundary line contains the inequality symbols >> or \ge≥., shade the upper side of the boundary line.

If the inequality symbols << or \le≤ are present, shade the boundary line's bottom side.

To learn more about linear inequality visit the link:

https://brainly.com/question/24372553

#SPJ4

Find the sum of -6x^2 + 3 and 4x^2 - 2x

Answers

Resultant polynomial is  [tex]-2x^2 -2x +3[/tex].

What is polynomial?An algebraic statement with variables, coefficients, and mathematical operations like addition, subtraction, multiplication, or division is referred to as a polynomial. Let's talk about the definition of polynomials in this article, along with their types, uses, and standard form.Similar terms are added while adding polynomials, and similar terms are deleted when subtracting polynomials. Keep in mind that in mathematics, the sign following addition or subtraction will always be that of the variable with larger value.

(4x^2 - 2x )+ ( -6x^2 + 3)

[tex]4x^2 - 2x + 0[/tex]             +

[tex]-6x^2 + 0x + 3[/tex]

                       

[tex]-2x^2 -2x +3[/tex]

                     

Resultant polynomial is  [tex]-2x^2 -2x +3[/tex].

To learn more about polynomial  refer,

https://brainly.com/question/15702527

#SPJ1

What are the roots of 2x² 3x 5?

Answers

On solving the provided question we can say that, - the roots of the given equations  are - x = -5/2 and x = 1

What are roots ?

When referring to the values of a variable for which the supplied polynomial equals zero, we use the term "roots of a polynomial." The polynomial p(x) has zero roots if and only if an is its root. By setting each component to 0, you may solve for x to determine the roots, or solutions, of the polynomial equation P(x) = 0. Factoring is used to solve the polynomial equation. Set each component to a value of 0 (2x4), (x-6) or (x+1). Calculate x using the solution.

here,

[tex]2x^2 + 3x - 5[/tex]

(2x + 5)(x-1)

x = -5/2 and x = 1

To know more about roots visit:

brainly.com/question/9179734

#SPJ4

Is unique is an array formula?

Answers

Yes, the UNIQUE function is an array function. The results of this function just need to be written once, and the full array will be filled with the results (range of cells).

What is a formula for an array?

A formula with numerous computations capabilities on one or more elements in an array is known as an array formula. An array can be thought of as a row, column, or mix of rows and columns of values. Array formulae may provide a single result or a number of outputs.

Can a formula for an array produce more than one result?

Array formulae may provide a single result or a number of outputs. Any formula that can provide several outcomes will automatically spill them either down, starting with the Microsoft 365 September 2018 upgrade.

To learn more about array formula visit:

brainly.com/question/30088851

#SPJ4

"Who wrote the book 'Terrible Weather"?" Ag Perez Solve for x. The answer to each problem will match a letter that will allow you to figure out the joke. B. 4 1. 5x - 7 = 4x +3 Y. No Solution X= to N. 10 2. 6 + 2x = 7x - 9 ... X = - 3 1. - 11 3. 8x + 1 = - 8 - x S. -2 X=1 4. -5+ 12x = 18x + 7 P. 3 X=-2 V . -7 5. -4x + 3 = 5x - 13 - x E. 1 6. -10 - 11x + 24 = 3x W. 5 F. - 6 7. 8 + 3x = x + 11 + 2x 0. 3 No sofmar 8. 5 +'17x +9 = 2x + 21x + 14 A. 1 R. 2 9. 6x + 8 - 13x + 10 = 4 - 6x - 11 + 4x W. 8 10. -14 + 5 - X - 3 =x+6+x+3x Y. -13 D. O AYN 9 3 7 1 6 S 8 5 2 10 4 e #20 Solving Equations: Variables on Both Sides and Collecting L

Answers

The book  'Terrible Weather' was written by WAYNE DROPS

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Solving the equations,

1) 5x-7 = 4x+3

x = 10 (N)

2) 6+2x = 7x-9

5x = 15

x = 3 (O)

3) 8x+1 = -8-x

-9x = 9

x = -1 (A)

4) -5+12x = 18x+7

6x = -12

x = -2 (S)

5) -4x+3 = 5x-13-x

8x = 16

x = 2 (R)

6) -10-11x+24 = 3x

14x = 14

x = 1 (E)

7) 8+3x = x+11+2x

3x-3x = 11-8

3 = 0

No solution (Y)

8) 5+17x+9 = 2x+21x+14

6x = 0

x = 0 (D)

9) 6x+8-13x+10 = 4-6x-11+4x

-7x+18 = -7-2x

5x = 25

x = 5 (W)

10) -14+5-x-3 = x+6+x+3x

-18 = 6x

x = -3 (P)

Now, the answer is coded as 93716 852104

Decoding with the help of the solutions of the given equations

WAYNE DROPS

Hence, the answer is WAYNE DROPS

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ4

What table does 64 come in?

Answers

The Multiplication table that comes in the number 64 is 1, 2, 4, 8, 16, 32, and 64.

What do we mean by multiples?

Multiples are numbers that are multiplied by another number to get a particular number.

In mathematics, multiples are the results of multiplying an integer by a given number.

Multiples of 5 include, for instance, 10, 15, 20, 25, 30, etc.

Numerous 7s include 14, 21, 28, 35, 42, 49, etc.

A multiple in mathematics refers to the outcome of multiplying two numbers together.

Here, the number 7 is multiple by 56.

Because the result of multiplying 0 by any number is 0, 0 is a multiple of all numbers.

So, in order to know what tables come in 64, we need to check that what numbers multiples ae 64:

64/1 = 64

64/2 = 32

64/4 = 16

64/8 = 8

64/16 = 4

64/32 = 2

64/64 = 1

Therefore, the Multiplication table that comes in the number 64 is 1, 2, 4, 8, 16, 32, and 64.

Know more about multiples here:

https://brainly.com/question/26856218

#SPJ4

in what circumstances is the t statistic used instead of a z-score for a hypothesis test? the t-statistic is used when the population variance (or standard deviation) is known you use the z-test when the sample size is less than 30 the t-statistic is used when the population variance (or standard deviation) is unknown

Answers

A t-statistic rather than a z-score is used when (C) the population's variance and standard deviation are unknown.

What do we mean by t-statistic?

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesized value relative to its standard error.

Through the Student's t-test, it is utilized in hypothesis testing.

In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

When the variance and standard deviation of the population are unknown, a t-statistic is employed rather than a z-score.

The p-value is the likelihood that, if the null hypothesis is correct, each test will result in a t-value with an absolute value at least as great as the one we actually observed in the sample data.

The t-value is a way to measure the difference between population means.

Therefore, a t-statistic rather than a z-score is used when (C) the population's variance and standard deviation are unknown.

Know more about t-statistic here:

https://brainly.com/question/6589776

#SPJ4

Correct question;
In what circumstances is the t-statistic used instead of a z-score for a hypothesis test?

(A) the t-statistic is used when the population variance (or standard deviation) is known

(B) you use the z-test when the sample size is less than 30

(C) the t-statistic is used when the population variance (or standard deviation) is unknown

What is the vertex of y =- X² 4?

Answers

The vertex of a parabola is the point at which the parabola changes direction, the vertex of y =-x² + 4 is (0, 4).

The equation for a parabola in standard form is y = ax² + bx + c. To find the vertex of y = -x² + 4, we need to use the formula x = -b/2a. In this equation, a is -1, and b is 0, so x = 0. Therefore, the vertex of y = -x² + 4 is (0, 4).

To find the vertex of a parabola, we can use the formula x = -b/2a. In this formula, a is the coefficient of x², and b is the coefficient of x. Therefore, to find the vertex of a parabola, we need to find the coefficients of x² and x and then plug them into the formula. This formula will give us the x-coordinate of the vertex, and we can then use the equation of the parabola to find the y-coordinate of the vertex. In the case of y = -x² + 4, the coefficient of x² is -1 and the coefficient of x is 0. Plugging these values into the formula, we get x = 0. We can then use the equation of the parabola to find the y-coordinate of the vertex, which is 4. Therefore, the vertex of y =-x² + 4 is (0, 4).

Learn more about Vertex here:

https://brainly.com/question/12563262

#SPJ4

please can u ans the question thank u
will mark brainliest

Answers

Answer:

( D ) x must be a number divisible by 3

Step-by-step explanation:

Rational numbers cannot be whole numbers.

( A ) x must be an odd number

if x is an odd number, Let's take x as 1 then the answer will be in rational number. So, Option A is wrong.

( B ) x must be an even number

If x is an even number, Let's take x as 2 then the answer will be in Rational number. So, Option B is wrong.

( C ) x must be a number greater than 3

Let's take x as 4, then the answer will be in Rational number. So, Option C is wrong.

( D ) x must be a number divisible by 3

Let's take x as 6 as 6 is divisible by 3, then

[tex] \frac{2}{3}x+ 1[/tex]

[tex] \frac{2}{3}(6)+ 1[/tex]

[tex]2(2) + 1[/tex]

[tex]4 + 1[/tex]

[tex]5[/tex]

Therefore, 5 is a Rational number.So, The correct option is D.

Use the Law of Cosines to find the values of x°and y°. Round to the nearest tenth.

Answers

The value of x° and y° are 48.5° and  38.6°.

What is the cosine law?

The square of the length of any one side of a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, multiplied by the cosine of the angle they are a part of.

The length of sides of the triangle are 10, 12, and 16.

Assume that AB = c = 10, BC = a = 16, and AC = b = 12

m∠B = x° and m∠C = y°.

Cosine law:

c² = a² + b² - 2ab cos C  ....(i)

b² = a² + c² - 2ac cos B  ....(ii)

a² = b² + c² - 2bc cos A  ....(iii)

Putting a = 16, b = 12, c = 10, and C = y° in law (i)

10² = 16² + 12² - 2×16×12 cos y

100 = 256 + 144 - 384 cos y

384 cos y = 300

cos y = 300/384

y = 38.6°

Putting a = 16, b = 12, c = 10, and B = x° in law (ii)

12² = 16² + 10² - 2×16×10 cos x

144 = 256 + 100 - 320 cos x

320 cos x = 212

cos x = 212/320

x =48.5°

To learn more about cosine law, click on below link:

https://brainly.com/question/10236516

#SPJ1

4. A rectangular plate has a perimeter of 28cm. determine the dimensions of the plate that give the maximum area​

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangle is the sum of its 2 widths and 2 lengths.

Lets call the width ‘W’ and the length ‘L’. The perimeter (P) is equal to 2W + 2L. So 28 = 2W + 2L which simplifies to 14 = W + L.

28/2=14

The area of a rectangle is the width multiplied by the length so the formula is A = W x L. We want to get rid of the length. So, if we rearrange the first equation 14 = W + L to make L the subject we get L = 14 - W. We can now substitute this into the area equation so we get → A = W x (14 - W). That’s your answer!

How do you solve area of the base?

Answers

Square Bases:  A = s².

Rectangle-shaped bases: A = l x w.

Circular bases: A = pi x r².

Define the term base area?

In geometry, a three-dimensional object's bottom is referred to as its base; if the solid's top is parallel to its bottom, it is also referred to as a base.

Square Bases:

The bases of cubes as well as square pyramids are square. The length of one of a square's sides multiplied on its own, or squared, determines the area of a square: It goes like this: A = s².

Rectangle-shaped bases

Pyramids and several rectangular solids have rectangular bases. A rectangle's area is determined by multiplying its length, l, by it's own width, w: A = l x w.

Circular bases:

Cones and cylinders have round bases. The radius of a circle, r, squared, plus the number pi, is equal to a area of the circle:

A = pi x r².

Pi is  approximately 3.14.

To know ore about the base area, here

https://brainly.com/question/3948796

#SPJ4

Other Questions
How can you use the Distributive Property to check your work when factoring?1. Once an expression has been factored, use the Distributive Property to expand the expression. The factored expression should be the original expression.2. Once an expression has been factored, use the Distributive Property to factor the expression. The factored expression should be the original expression.3. Once an expression has been factored, use the Distributive Property to factor the expression. The expanded expression should be the original expression.4. Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression. Find the area of each figure and round to the nearest tenth if necessary 15 pointsWhat did Dr. Martin Luther King do?He taught African Americans to fight back when pushed with violence.He taught the importance of peaceful protest, and that one day we could all cometogether and be equals without fighting.He helped end segregation in schools in Brown Vs Board of EducationHe had dreams. The probability that a student guesses the correct answer to a five-choice multiple choice question is P(correct)=0.2. How many correct answers should a student expect to guess on a test with 60 five-choice multiple choice questions? Geometry problem, please help ASAP 55 videos to 77 videos. Is it increase or decrease? What is the change in the percent? Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you so much! 6. A container has a volume of 53.9 L. Assuming it is at STP, how many moles of gas particles does it contain? 1. Mike has 43 books in his library. He bought several books at a yard sale over the weekend. He now has 67 books in his library. How many books did he buy at the yard sale?2. After paying 9 dollars for the pie, Sam has 87 dollars left. How much money did he have before buying the pie? 3. Last week Jason had 12 dollars. He washed cars over the weekend and now has 93 dollars. How much money did he make washing cars?4. There are 31 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 68 pine trees in the park. How many pine trees did the workers plant today? 5. Sam's high school played 14 hockey games this year. The team won most of their games. They were defeated during 3 games. How many games did they win? 6. Joan had 22 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 76 peaches at the stand, how many did she pick?7. Fred received 60 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 22 dollars left over, how much did he spent on the baseball gear? 8. How many ink cartridges can you buy with 204 dollars if one cartridge costs 17 dollars? 9. After eating at the restaurant, Mike, Joan, and Sally decided to divide the bill evenly. If each person paid 23 dollars, what was the total of the bill? 10. There were 11 bales of hay in the barn. Mike stacked more bales in the barn today. There are now 70 bales of hay in the barn. How many bales did he store in the barn? I need your help. B. A customer sees a house they want, but it's not for sale because it's owned by someone else. How would you go about approaching the current home owner about possibly selling their home to your buyer? there are about 11,000 birth each day in United States and the proportion of the boys born in United States is 0.152 assume that each day 100 birth randomly selected the portion of boys record Morris Company applies overhead based on direct labor costs. For the current year, Morris Company estimated total overhead costs to be $452,000, and direct labor costs to be $2,260,000. Actual overhead costs for the year totaled $419,000, and actual direct labor costs totaled $1,930,000. At year-end, the balance in the Factory Overhead account is a: Multiple Choice $452,000 Credit balance. $386,000 Debit balance. $33,000 Debit balance. $33,000 Credit balance. $419,000 Debit balance. Please help will give brainliest Fill in the missing numbers to complete the linear equation that gives the rule for this table. (1,48) (2,55) (3,62) (4,69) y =_x +_ What is one example of how the federal government's policies regarding economic development remained consistent from 1800 until the late 1880s? I want to prove that sin2x/1+cos2x = tan x. During exercise, the primary mechanism of heat loss isa. convectionb. radiationC. conductiond. evaporation Write a paragraph of at least six sentences describing what you did last weekend. Use at least four different verbs in the preterite. Paragraph must be written in Spanish. HELPPPPP !!! CAN SOMEBODY SOLVE THIS AND GIVE A STEP-BY-STEP PLEASE!-2 =m/16 (1)/(8)-1(7)/(8) please help