Help me solve this please

Help Me Solve This Please

Answers

Answer 1

Step-by-step explanation:

let's use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

so,

5.4/sin(K/2) = 12.3/sin(M1)

8.2/sin(K/2) = x/sin(M2)

M1 + M2 = 180 (as complementary angles or linear pair)

M2 = 180 - M1

sin(K/2) = 5.4×sin(M1)/12.3

sin(K/2) = 8.2×sin(M2)/x

therefore

5.4×sin(M1)/12.3 = 8.2×sin(180 - M1)/x

since sin(a) = sin(180 - a)

5.4×sin(M1)/12.3 = 8.2×sin(M1)/x

and then

5.4/12.3 = 8.2/x

x×5.4 = 8.2×12.3

x = 8.2×12.3/5.4 = 18.67777777... ≈ 18.7

Answer 2

Step-by-step explanation:Step-by-step explanation:

let's use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

so,

5.4/sin(K/2) = 12.3/sin(M1)

8.2/sin(K/2) = x/sin(M2)

M1 + M2 = 180 (as complementary angles or linear pair)

M2 = 180 - M1


Related Questions

Zach loves to compete in triathlons. At a race a few months ago, he finished in 280 minutes. Yesterday, he completed another triathlon and finished in 294 minutes. What was the percent of increase in Zach's finishing time?

Answers

The percent of increase in Zach's finishing time is 5%.

How to calculate the percentage?

From the information, at a race a few months ago, he finished in 280 minutes and yesterday, he completed another triathlon and finished in 294 minutes.

The increase in time will be:

= New time - Old time

= 294 - 280

= 14 minutes

The percentage increase will be:

= Increase in time / Original time × 100

= 14 / 280 × 100

= 1/20 × 100

= 5%

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How many grams of H2SO4 are needed to prepare 5.0 L of a 2 M H2SO4 solution?

Answers

980g of sulphuric acid (H₂SO₄) is needed to prepare 5.0L of a 2M solution.

What is Sulfuric acid?Sulfuric acid, also known as sulphuric acid or oil of vitriol in the past, is a mineral acid made up of the elements hydrogen, oxygen, and sulfur with the chemical formula H₂SO₄. It is a viscous liquid that is miscible with water. It has no color or smell.Sulfuric acid can irritate the nose and throat, burn the eyes, burn holes in the stomach if eaten, cause severe skin burns, and make breathing difficult if inhaled.

So, the grams of H₂SO₄ needed will be:

Calculate to prepare 5.0L of a 2M solution.98g/mol × 5mol × 2mol /L = 980g H₂SO₄

Therefore, 980g of sulphuric acid (H₂SO₄) is needed to prepare 5.0L of a 2M solution.

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Angelica purchases $25.75 worth of cosmetics online. There is a 2% processing fee. What is the total cost of the cosmetics? Round to the nearest cent
26.27
Step by step
2/100 = 0.02
0.02 x 25.75 = 0.51
0.51 + 25.75 = 26.26 rounding is 26.27

Answers

The total cost of the cosmetics including 2% processing fee rounded up to the nearest cent is $26.27

The cost of the cosmetics is $25.75

The 2% processing fee is calculated as follows:

2/100 × $25.75 = $ 0.515

The total cost including processing fee is $25.75 + $ 0.515 = $26.265 rounded up to $26.27

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Which option shows the equation for the line in the graph?
Responses

y=−5x−5y is equal to negative 5 x minus 5

y=3x−10y is equal to 3 x minus 10

y=−3x−10y is equal to negative 3 x minus 10

y=−10x−3

Answers

The option that shows the equation for the line in the graph is

y=−3x−10y is equal to negative 3 x minus 10

How to obtain the equation of the line in the graph

A graph is a pictorial representation of data. The graph shows a linear function which will be written in the slope intercept form  form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

calculation of slope

The points used for the slope is gotten from the graph as B(-5. 5)  (-2, -4)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= ( -4 - 5 ) / ( -2 - -5 )

= -9 / -2 + 5

= -9 / 3

= -3

y intercept, c

this is a point where the graph cuts the y axis

c = -10

hence the equation is written using y = mx + c and substituting the values

y = -3x - 10

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Which theorem or postulate could be used to prove the congruence of the triangles?

Answers

ASA
The reason is that the picture shows 2 angles and a side with the side sandwitched between the angles. You read it as “angle, side, angle”, so the answer is ASA

I need help with the properties of exponents. my work is past due and I'm failing my classes!

Answers

Answer:

answers found in pdf

Step-by-step explanation:

mathaway will help check your answers that what I did.

Lamar will run at most 37 miles this week. So far, he has run 22 miles. What are the possible numbers of additional miles he will run?

Answers

The possible numbers of additional miles that Lamar can run are all the solutions of the inequality:

0 ≤ x ≤ 15

What are the possible numbers of additional miles?

We know that Lamar will run at most 37 miles this week, and he already did run 22 miles, then the (maximum) distance left this week is:

D = 37mi - 22mi = 15mi

So he can run at most 15 miles, this means that he can run any distance between 0 miles and 15 miles by the end of the week.

So, if we define x as the distance that he will run on the week (in miles), then we can write the inequality:

0 ≤ x ≤ 15

so the possible numbers of additional miles he will run on this week are all the values of x that are a solution for the above inequality.

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Caroline invested $900 in an account paying an interest rate of 8\tfrac{7}{8}8 8 7 ​ % compounded continuously. Jaxon invested $900 in an account paying an interest rate of 8\tfrac{5}{8}8 8 5 ​ % compounded daily. After 8 years, how much more money would Caroline have in her account than Jaxon, ?

Answers

Caroline would have $36 more money in her account than Jaxon.

From the question, we have

Caroline amount,

A = P* e^rt

= 900*e^(71*8)/800

= 900*e^(71/100)

=$1830.59

Jaxon amount,

A = P* e^rt

= 900*e^(69*8)/800

= 900*e^(69/100)

=$1794.34

Difference = $1830.59 - $1794.34

= $36.25

= $36 ( to the nearest dollar)

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x−3y= −21

Answers

Answer:

y=4/3x +7

Step-by-step explanation:

4x - 3y = -21

Move 4x to the other side

-3y = -21 -4x

Next divide the other side by -3

y= 7 +4/3x

Move numbers around

y = 4/3x + 7

What is the slope-intercept form of the equation of the line that passes through the points (7,-5) and (3,- 9)?
y=x-4
y = x + 12
y=x-12
y = x + 5

Answers

Answer:

y = x - 12

Step-by-step explanation:

slope = (-9 - (-5))/(3 - 7) = -4/(-4) = 1

y = mx + b

y = x + b

-5 = 7 + b

b = -12

y = x - 12

(a) The amount of pure acid in 40 oz of 20% acid solution is oz.
(Type an integer or a decimal.)

Answers

neverminding the jumbled wording

how much is 20% of 40?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8[/tex]

If r(x) = 2x² and w(x) = x-2, what is the range of (wor)(x)?

Answers

The given function are

r(x) = 2 - x²    and     w(x) = x - 2

(w*r)(x) can be obtained by multiplying the both function together

So, (w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)

(w*r)(x) = x (2-x²) - 2(2-x²)

           = 2x - x³ - 4 + 2x²

∴ (w*r)(x) = -x³ + 2x² + 2x - 4

It is a polynomial function with a domain equal to R

The range of (w*r)(x) can be obtained by graphing the function

To graph (w*r)(x), we need to make a table between x and (w*r)(x)

See the attached figure which represents the table and the graph of (w*r)(x)

As shown in the graph the range of (w*r)(x) is (-∞,∞)

ANSWER THIS QUESTION FOR BRAINLISTEST

Answers

The transformation rule used to transform Triangle PQR to P'Q'R' is; (x, y) → (⁵/₂x, ⁵/₂y)

How to Interpret Mathematical Transformations?

We are given from the question that the triangle P'Q'R' was transformed from the triangle PQR.

We see from the image that the coordinates of the original triangle PQR are;

P(-1, 1)

Q(2, 0)

R(-1, -2)

We also see that the coordinates of the transformed triangle P'Q'R' are;

P(-5/2, 5/2)

Q(5, 0)

R(-5/2, -5)

Thus, we can conclude that the transformation rule used here is;

(x, y) → (⁵/₂x, ⁵/₂y)

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Mitzi looked up prices of thirteen used Chevrolet HHR retro" tracks in the classified ads and found these prices: 8,500, 8,500, 8,500, 9,900, $10,800, 10,800, 11,000, 12,500, $12,500, $13,000, 13,000, $14,500, and $23,000

Answers

The price range of the Chevrolet HHR retro will be $14,500.

What is the range of the data?

The range of the data is defined as the difference between the maximum value of data and the minimum value of the data.

The given data as:

$8,500, $8,500, $8,500, $9,900, $10,800, 10,800, 11,000, 12,500, $12,500, $13,000, 13,000, $14,500, and $23,000

According to the given information, the required solution would be as:

The maximum value of data = $23,000

The minimum value of data = $8,500

The range of the data = The maximum value of data - The minimum value of data

Substitute the values in the above formula,

The range of the data = 23,000 - 8,500

Apply the subtraction operation to get the answer

The range of the data = 14,500

Therefore, the price range of the Chevrolet HHR retro will be $14,500.

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The question seems to be incomplete the correct question would be:

Mitzi looked up prices of thirteen used Chevrolet HHR retro" tracks in the classified ads and found these prices: 8,500, 8,500, 8,500, 9,900, $10,800, 10,800, 11,000, 12,500, $12,500, $13,000, 13,000, $14,500, and $23,000. Find the range of the data.

Evelyn deposited $90 in an account
earning 10% interest compounded
annually.
To the nearest cent, how much interest
will she earn in 1 year?
Use the formula B = p(1 + r)², where B is
the balance (final amount), p is the
principal (starting amount), r is the
interest rate expressed as a decimal, and t
is the time in years.

Answers

The compound interest earned by Evelyn in one year is $9.

Evelyn has a bank account. She deposited $90 in her account. She earns 10% interest on her deposited money. The interest earned is compounded annually. We need to calculate the interest earned by her in one year, to the nearest cent.

We need to calculate the compound interest. The formula is given below.

B = p(1 + r)^t

The variables 'B', 'p', 't', and 'r' represent the final amount, the initial amount, the time duration, and the rate of interest, respectively.

B = $90(1 + 0.1)^1

B = $90*1.1

B = $99

The final amount in her bank account after one year is $99. The interest earned is the difference between the final and the initial amount. Let the variable 'I' represent the interest earned.

I = B - p

I = $99 - $90

I = $9

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What characteristics of something that is cyclical

Answers

Answer: regularly patterned or that occur in regular intervals.

Step-by-step explanation: took it

helppppppppppppppppppppppppppppppppppp pls can you show me how to write out each problem and solve it

Answers

Answer:

1) 1.96

2) 6

3) 4/3

Step-by-step explanation:

think of exponents as repeated multiplication. the exponent is how many times you're going to multiply the number itself by.

1) [tex]1.4^{2}[/tex] is really just 1.4 * 1.4, which you can solve by long multiplication or a calculator to get 1.96

2) for this one, you can rewrite the expression as a fraction. you'll also want to use PEMDAS, starting with the parentheses

[tex]\frac{300}{ 2(0.5+4.5)^{2}}\\\\\frac{300}{2*(5)^2}\\\\\frac{300}{2*25} \\\\\frac{300}{50} = 6[/tex]

3) [tex](\frac{1}{2})^{3} = \frac{1}{2} *\frac{1}{2} *\frac{1}{2} = \frac{1}{8} \\[/tex]

you can rewrite the division as a fraction again, only this time. you can change the subtraction to the reciprocal of the denominator

[tex]\frac{1}{3} / (2*\frac{1}{8} )= \frac{1}{3} / \frac{1}{4} = \frac{1}{3} * 4 = \frac{4}{3}[/tex]

hope this helped!

Si un bolso costaba$40.000 y tiene un descuento de un 10%¿cual es el precio final del bolso?

Answers

El precio final, esto es, el precio con descuento, del bolso es igual a $ 36.000.

¿Cómo calcular el precio final del bolso?

En este problema debemos determinar el precio final de un bolso (C') adquirido por un cliente con descuento, igual al precio original (C) menos el descuento, descrito en la siguiente fórmula:

C' = C · (1 + r / 100)

Donde r es la tasa de descuento. Nótese que existe descuento para 0 < r < 100.

Si sabemos que C = 40.000 y r = - 10, entonces el precio final del bolso es:

C' = 40.000 · (1 - 10 / 100)

C' = 36.000

El precio final del bolso es igual a $ 36.000.

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What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?

x^2+32x+116=12x

Answers

Answer:

x=246 or x=-266

Step-by-step explanation:

First you bring 12x to the other side and simplify to give

x²+20x+116=0

Then solve by completing the square:

(x+10)²-100+116=0

(x+10)²+16=0

(x+10)²=-16

x+10=±256

x=±256-10

x=246 or x=-266

Hope this helps

If the triangle equals 12cm in perimeter, what's the equation for the triangle with 5cm,3cm, and a missing number labeled as P

Answers

The answer will be 4cm

Hope it helps
Thank you

the mean age for all foothill college students for a recent fall term was 33.2. the population standard deviation has been pretty consistent at 15. suppose that twenty-five winter students were randomly selected. the mean age for the sample was 30.4. we are interested in the true mean age for winter foothill college students. let x

Answers

Lower Limit = 24.52

Upper Limit = 36.28

Error Bound = 5.88

Lower Limit: - The Lower Limit for every class is the smallest value in that class. For example: 5 is a lower lower limit for the set S= { 5,8,42,34}

Upper Limit: - A value that is greater than or equal to every element of a set of data. For example: - { 3,5,11,20,22} is a upper bound of 22.

Given that,

Population Mean,μ = 33.2

sample Mean, χ (x bar) = 30.4

sample Size, n = 25

α (Alpha) = 0.05

Population standard deviation,σ = 15

95% confidence interval:

μ ± z critical σ / √n

Putting the values, we get,

z critical at α0.05 = ± 1.96

30.4 ±1.96( 15/√25) = 30.4 ± 5.88 = (24.52,36.28)

a) Lower Limit = 24.52

b) Upper Limit = 36.28

c) Error Bound =

Margin of Error = z critical × σ /√n

                         =  1.96 × 15/√25

                          = 1.96  × 15/5

                          = 5.88

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please answer this question. I get my cat taken away if I dont

Answers

Answer: -3

Step-by-step explanation: Used calculator

50 Points pls help!



Question: Fred drew the footprint of a stage he was planning to build for his band on a coordinate plane. He decided he wanted to make it smaller because he wanted to make sure it fit at every venue.

Please help me solve letter A and B :)

Answers

Answer:

A) Picture added,B) 26 units.

=========================

Part A

The smaller figure is added, considering the coordinates of the image follow the rule:

(x, y) → (0.5x, 0.5y)

Smaller stage is in blue. See attached

Part B

Since each side is half the original, the perimeter of the image is half the larger one:

P = 52/2 = 26 units

4. Find the measure of TIL
110
40 50 60
140 130 120 110 100 sp 80 70 60
0 120 130
35 degrees
135 degrees
145 degrees
O95 degrees

Answers

Answer:

145 degrees

Step-by-step explanation:

The side through L is at a 35 degree angle, and the side through N is at a 180 degree angle. Taking the difference, we get 145 degrees.

Malik created a model of a rectangular flag.
His model is 10 inches long and the actual flag is 25 inches long.

How many times wider is the actual flag than Malik's model?

Answers

Answer:

2.5x

Step-by-step explanation:

Given information for width:

Model: 10 in.

Real: 25 in.

Solve: How much times wider is real than model?

To find this, lets divide 25in. by 10in to find the scale factor.

25/10 = 2.5

2.5

We can verify this by multiplying 10 by 2.5

10 x 2.5 = 25

What’s the answer someone please help

Answers

Answer:

Step-by-step explanation:

Ok:

1. This is a percent problem!

45/100*15=

675/100=

6.75

2. Subtract:

15-6.75=

8.25$

Answer: 8.25$

Which graph has a domain of all real numbers greater or equal to 6?

Answers

Answer:

Step-by-step explanation

C

Help Pls Help I need it in 10 mins!!!!!!!!!!!!!!PLS

The point (6,2) is reflected over the -axis and then the image is translated 4 units right and 3 units down. What is the absolute difference between the coordinates of the final image?

Answers

Answer:

When we reflect over the x-axis the answer will be (6, -2)

Then when we go 4 units right it will turn into (10,-2)

And lastly, when we go 3 units down, it will be (10,-5)

The Answer is (10,-2)

(Brainiest is optional)

The surface area of a square pyramid is 96 square feet. The height is two-thirds of the length of the base edge.

What is the length of the base edge?

Answers

The length of the base edge of the pyramid is 1.71 feet

What is surface area of a pyramid?

In order to find the total surface area, we will need to add up the areas of the base and the three other sides. SA=B+12(P×h), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid.

If l is the length of the square base and h is the height of the pyramid, then h =2/3l

from the formula, SA= B+12(P×h)

the perimeter of a square is 4l

the base area of square is l^2

therefore 96= l^2+ 12(4l×2/3l)

96= l^2+ 12×8/3l^2

96=l^2+32l^2

96= 33l^2

divide both sides by 33

l^2= 96/33

l=√2.91

l=1.71 feet

therefore the length of the base edge is 1.71 feet

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1/2 of a number is 15 more than 1/7 of the same number. find the number.

Answers

Answer:

42

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] x = [tex]\frac{1}{7}[/tex]x + 15  Clear the fraction by multiplying all the way through by 14

7x = 2x + 210  Subtract 2s from both sides

5x = 210  Divide both sides by 5

x = 42

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