Find the perimeter of ABO. A) 90 u B) 60 u C) 75 u D) 55 u E) 80 u​

Answer:

289 and 324

Step-by-step explanation:

first find the root of 300 then the number you get is 17.3205.... then look in the line and look at the points in between 17 and 18 then find the square root of 17 and you'll get your answer

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

STEP 2: answer question a

To get the answer,

Hence, 120 different toppings pizza are possible

STEP 3: Answer question b

Hence, 1215450 mini-boxes are possible

The value of expression c − a + b d on simplification is (-10101.2).

As per question we need to solve the given equation i.e., c − a + b d

And we are provided with the values of a, b , c and d.

Here we have ,

a=78,

b=−716

c=0.8

and d=14

The given equation is,

c − a + b d

Now we need to substitute the value of a, b, c and d. On substituting the value of a, b, c and d , we get

(0.8) - 78 + (-716) (14)

= (0.8) - 78 - 10024

= (-10101.2)

So, we can conclude that the value of given expression on simplification is  (-10101.2).

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a ) The value is 4.472

b)2 decimal place is 4.47

When expressing a whole number and a fraction together, decimals are utilized. Here, we shall use a "." (also known as a decimal point) to demarcate the full number from the fraction. Say, for illustration, that you intend to bring a cone of ice cream. You are informed by the vendor that ice cream costs $2 and 50 cents. Now, if you wanted to sum up this cost in a single number, you would say that an ice cream cone costs $2.50. You may be utilizing decimals without even recognizing it in a variety of everyday settings.

[tex]\sqrt{4.5^{2} -0.5^{2} }\\ \sqrt{20.25-0.25} \\\sqrt{20}\\ 4.4721[/tex]

a ) The value is 4.472

b)2 decimal place is 4.47

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A number line that plots the integers –12, –3, and 7 will be A. A number line going from negative 15 to positive 10. Points are at negative 12, negative 3, and 7.

It should be noted that a number line simply means the straight line that can be used to show the addition and subtraction of numbers.

It should be noted that the negative numbers are on the left hand side and the positive numbers are on the right hand side.

Therefore, this is conveyed effectively by option A.

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The amount in pounds of sugar consumed during that week from the soda is 0. 0677 pounds

A proportion can be defined as an equation in which two elements, or numbers are being set equal to each other.

It is known as a mathematical comparison between two elements or things.

It is also defined as a comparative relation on the basis of size or magnitude of elements, quantity and numbers.

From the information given, we have that;

41 grams of sugar is in each 12-ounce can

To determine the ounces in 9 cans, we have;

If 41 grams = 12 cans

Then, x = 9 cans

cross multiply

x = 41(9)/12

expand the bracket

x = 30. 75 grams

Let's convert grams to pounds

1 gram = 0. 0022 pounds

30. 75 grams = x

x = 30. 75(0. 0022)/1

x = 0. 0677 pounds

Hence, the value is 0. 0677 pounds

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[tex] = (a + 1)(b(a + 1) - 5)[/tex]

HOPE THIS HELPS

Answer:

-5

Step-by-step explanation:

5x + 10 = -15

a) Subtract 10 from both sides.

5x + 10 - 10 = -15 - 10

5x = -25

b) Divide both sides by 5.

5x/5 = -25/5

-25/5 = -5

Your answer would be -5

The correct transformation include

The equation of the graph is given as

y = √(x -6) + 8

The above equation is a square root

The parent equation of the square root is

y = √x

The sequence of transformations from y = √x to y = √(x - 6) + 8 is as follows:

The transformation rule of the above transformations are as follows:

When the above transformations are applied on the equation, we have:

This means that the function y = √(x -6) + 8 can be gotten by applying the above sequence of transformation on y = √x

See attachment for the graphs of the transformations where the blue line represents y = √x while the other line represents y = √(x -6) + 8

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Answer:

  A = n-1

  B = n+1

Step-by-step explanation:

You want values of A and B that make the sequence {A, n, B} be a sequence of consecutive integers for any integer n.

Integers are consecutive when each is one more than the previous:

  A +1 = n   ⇒   A = n -1

  n +1 = B

Answer:

2(v-8)=6

Step-by-step explanation:

you have to follow the instructions written and then plug the values

Answer: 3.55, 6.187, 9.312, 27.132

Step-by-step explanation:

The easiest way I do this is by rounding all the numbers to the nearest hundredths, tenths, or whole numbers.

3.55 = 4
6.187 = 6
9.312 = 9
27.132 = 27

The number √2 is an irrational number, thus, the correct options are B: irrational and F: not rational

Remember what each sets are.

Natural or whole numbers are all the numbers that can be get by adding ones to one {1, 2, 3, 4, ...}

Integers are like the above ones, but also includes the zero and negative numbers.

Rationals are the ones that can be written as a quotient between two integers, and irrationals are these ones that can't be written like that.

Finally, real numbers are all the numbers.

In this case we have the square root of a prime number, √2, this is always a irrational number.

Then option B is correct.

Trivially, option F (not rational) is also true, because if the number is irrational, then it is not rational.

Then the correct options are B and F.

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The probability of Ryan choosing a flavor that he does not like is 3/10.

So, the formula for probability:

Now, insert the values in the probability formula as follows:

Therefore, the probability of Ryan choosing a flavor that he does not like is 3/10.

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Given the expression below

We can evaluate the expression by simplifying the parenthesis

Answer: 54

After being simplified, it was discovered that the equation 6x - 8 =

2 (3x - 4) has infinite solutions.

A straight line has the equation y=mx+c, where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.

Given Equation : 6x - 8 = 2 (3x - 4)

Simplifying this equation as follows:

6x - 8 = 2 (3x - 4)

6x - 8 = 6x - 8

0 = 0

Same constant on both sides.

As a result, after simplifying the equation 6x - 8 = 2 (3x - 4), infinite solutions are possible for this equation.

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Data:

• B = 70°

• b = 19ft

• C = 90°

Procedure:

• Finding the angles

We know that C = 90° as the image shows the symbols. Also, we know that the sum of the interior angles of a triangle are 180°. Then, to get A we have to do the following:

Isolating for A:

Replacing the values we know:

• Finding side ,a

Using trigonometric functions, we can get a.

As we already know the value of A and b, we can isolate for a:

Replacing the values:

• Finding side ,c

Finally, using the Pythagorean Theorem, we can calculate c:

Isolating for c:

Replacing the values:

Answer:

• A = 20°

• a = 6.92 ft

• c = 20.22 ft

Answer:

x = 6 or x = 3

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 20 = 9 x + 2

Subtract 9 x + 2 from both sides:

x^2 - 9 x + 18 = 0

The left-hand side factors into a product with two terms:

(x - 6) (x - 3) = 0

Split into two equations:

x - 6 = 0 or x - 3 = 0

Add 6 to both sides:

x = 6 or x - 3 = 0

Add 3 to both sides:

Answer: x = 6 or x = 3

Answer:

Step-by-step explanation:

(x-6)(x-3)

x1 =6

x2 = 3

The location of T is 3 units from the midpoint X or 6 units from the endpoint B

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Since one of the endpoints is BX and the endpoint is XT and the midpoint is X.

The distance between B and X is 3 units.

Since X is the midpoint, the distance between X and T is equal to 3 units.

Therefore, the distance between B and T is 6 units and the location of T is 3 units from X or 6 units from T.

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Answer:

  18.7 °F

Step-by-step explanation:

You want the temperature change between a low of -8.5 °F and a high of 10.2 °F.

The change between the two readings is found by subtracting the smaller from the larger:

  10.2 -(-8.5) = 10.2 +8.5 = 18.7

The temperature change is 18.7 °F.

Solution:

The growth formula is expressed as

Given the function:

By comparison, we have

Hence, the growth factor of the function is

The quotient for p(x) = x³ -5x² + x + 15 is x² – 2x – 5.

A polynomial is a mathematical expression made up of coefficients multiplied by the product of powers in one or more variables. The formula for a univariate polynomial in one variable with constant coefficients is.

An equation with a polynomial set to zero is referred to as a polynomial equation. It is an equation made up of coefficients, non-negative integer exponents, variables, and operations. It also contains the equal sign. Different exponents exist for it. The degree of the equation is revealed by the highest one.

Given that,

The p(x) = x³ - 5x² + x + 15

Divided by x -3

Therefore, the quotient for p(x) = x³ -5x² + x + 15 is x² – 2x – 5.

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Answers to all the problems using BODMAS property are:

So, (A) 107-[59-(18+9-(12-18+6) +3}]:

(B) [222- 486 of 8]+(58-45) × 8

(C) 1500-[160+ (40-(120-100)}]

Therefore, answers to all the problems using BODMAS property are:

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Answer:

The equation of the line is 2x - 3y = 9

Step-by-step explanation:

Given:

Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (3, -1)

Solve:

- The line is parallel to the line 2x - 3y = 5

⇒ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

⇒  y = mx + c to find the slope of it

2x - 3y = 5 → subtract 2x from both sides

-3y = 5 - 2x ⇒ divide two sides by -3

y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

The slope of the line is 2/3

Given that: The line passes through point (3, -1)

Lets use the rule to find the equation of the line:

y - (-1)/x - 3 = 2/3

y + 1/x - 3 = 2/3 ⇒ by using cross multiplication

3(y + 1) = 2(x - 3) ⇒ open the brackets

3y + 3 = 2x -6 ⇒ put x and y on one side

2x - 3y = 3 + 6

2x - 3y = 9

The equation of the line is 2x - 3y = 9

~Kavinsky

Answer:

the answer to the midpoint of 1.5 and -8,7 is (-7/2,11)

The cost of each ticket bought by each of the group is $15.

The linear equation that represents the total cost spent by group 1 on the tickets is:

Amount spent = total amount spent on the tickets - discount

9x - 120

The linear equation that represents the total cost spent by group 2 on the tickets is:

3x - 30

Where:

x = is the cost of the tickets

If both groups spend the same amount, the above two linear equations would be equal to each other

3x - 30 = 9x - 120

In order to determine the value of x, take the following steps:

Combine similar terms together: 120 - 30 = 9x - 3x

Add similar terms: 90 = 6x

Divide both sides by 6

x = 90 / 6

x = 15

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The required solution of the given absolute value equation is 11 and -7.

Given that,

An absolute value equation is given, -1/3|2x - 4|=-6.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given expression.
-1/3|2x - 4| = -6
|2x - 4| = -6 (-3)
|2x -4| = 18
(2x - 4) = ±18
Now.
Taking (+)
2x - 4 = 18
x = 11
Similarly,
Taking (-)
2x - 4 = -18
x = -7

Thus, the required solution of the given absolute value equation is 11 and -7.

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We have a terminal point (-3,-5).

We have to find cos(θ), csc (θ and tan)(θ.)

We can locate the terminal point and the angle as:

The cosine of this angle will be negative, as ( is located in the third quadrant)

The hypotenuse of this right triangle will be called R and we can calculate it using the Pythagorean theorem:

We can estimate the cosine as:

We can now relate this to the csc(θ) as:

Finally, we can calculate the tangent as:

Answer:

cos(θ) = -3√34/34

csc(θ) = -√34/5

tan(θ) = 5/3