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4 years ago

13

Graph this equation y=7/2x-2

1 answer:

Ludmilka [50]4 years ago

6 0

To find the slope and y intercept, use the y=mx+b formula where m is the slope and b is the y intercept<span>.
</span><span>y=mx+b

</span>Pull the values of m and b using the y=mx+b formula<span>.
</span><span>m=7/2,</span>b=−2 where m is the slope and b is the <span>y-intercept</span>

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Solve the triangle. Round your answers to the nearest tenth.

mixas84 [53]

Answer:

Angles: $\angle A = 43^{\circ}$ $\angle B = 55^{\circ}$ $\angle C = 82^{\circ}$

Sides: $BC = 20$ $AB = 29$ $AC =24$

Step-by-step explanation:

See attachment for complete question

From the attachment, we have:

$AB = 29$

$AC =24$

$\angle C = 82^{\circ}$

Required

Complete the missing side and missing angles

To calculate angle B, we apply sine laws:

$\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}$

In this case:

$\frac{AB}{sinC}=\frac{AC}{sinB}$

This gives:

$\frac{29}{sin(82^{\circ})}=\frac{24}{sinB}$

$\frac{29}{0.9903}=\frac{24}{sinB}$

Cross Multiply

$sinB * 29 = 24 * 0.9903$

Divide both sides by 29

$sinB = \frac{24 * 0.9903}{29}$

$sinB = 0.8196$

Take arcsin of both sides

$B = sin^{-1}(0.8196)$

$B = 55^{\circ}$

So:

$\angle B = 55^{\circ}$

To solve for the third angle, we make use of:

$\angle A + \angle B + \angle C = 180^{\circ}$

This gives:

$\angle A + 55^{\circ} + 82^{\circ} = 180^{\circ}$

$\angle A + 137^{\circ}= 180^{\circ}$

$\angle A = 180^{\circ}- 137^{\circ}$

$\angle A = 43^{\circ}$

Hence, the angles are:

$\angle A = 43^{\circ}$ $\angle B = 55^{\circ}$ $\angle C = 82^{\circ}$

To calculate the length of the third side, we apply cosine law

$BC^2 = AB^2 + AC^2 - 2*AB*AC*cosA$

$BC^2 = 29^2 + 24^2 - 2*29*24*cos(43^{\circ})$

$BC^2 = 841+ 576 - 1392*cos(43^{\circ})$

$BC^2 = 841+ 576 - 1392*0.7314$

$BC^2 = 841+ 576 - 1018.11$

$BC^2 = 398.89$

Take the square root of both sides

$BC = \sqrt{398.89$

$BC = 19.9722307217$

$BC = 20$

5 0

3 years ago

Evaluate the expression for the given value of the variable.

navik [9.2K]

Answer:

I NOT 100% SURE BUT I THINK ITS .B)

Step-by-step explanation:

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3 years ago

Kaylee and her children went into a movie theater and will buy drinks and candies.

fenix001 [56]

Answer:

c+d>15

Step-by-step explanation:

Usually there's more to the question.. the inequality doesn't look too right, but it could be.

6 0

4 years ago

2) What is 8% of 24.52? Round your answer to the nearest hundredth.

alexgriva [62]

What is 8% of 24.52= 1.9616

just round up

5 0

4 years ago

Read 2 more answers

Ron wants to build a ramp with a length of a 14 ft and an angle of elevation of 26 degrees.

lora16 [44]

The complete question in the attached figure N 1

see the attached figure N 2 to better understand the problem

we know that

sin 26°=y/14-------> y=14*sin 26°------> y=6.14 ft

the answer is
<span>The height of the ramp is about 6.14 ft</span>

8 0

4 years ago