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3 years ago

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A. y = - 1/4x +9

1 answer:

Vikentia [17]3 years ago

6 0

It's B= 1/4x+6 because I solve it

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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

WILL GIVE 50 BRAINLY POINTS!!

Aleonysh [2.5K]

Answer:

B. (10^1/3)³ = 10 ^(1/3×3) =10

Step-by-step explanation:

I took the test on FLVS

8 0

3 years ago

Read 2 more answers

Determin the time taken when distance is 7150 km and speed is 780 km

lapo4ka [179]

Step-by-step explanation:

a ) Distance = 7150 km , speed = 780 km / hr So , time taken. ... 42 5 m / sec So , Time taken = Distance Speed = 8 0 . 42 / 5 = 8 × 5 0 . 42 sec = 95 .

4 0

3 years ago

A hose is filling a water tank at the rate of 70 gallons per minute. A loose drain plug causes 8 gallons per minute to drain out

Alinara [238K]

62x=y
1860/62=30min

70 gallIons per minute, minus the 8 gallons per minute would give you a growth of 62 gallons per minute. you need 1860 gallons in total so divid that by your growth in which it'll take 30 minutes to fill up a 1860 gallon tank.

7 0

3 years ago

Which of the following has a denominator of 6? <br>a. 6 2/3<br>b. 16/18 <br>c. 6/7 <br>d. 1/6

maw [93]

Answer:

D

Step-by-step explanation:

The denominator is the bottom number in a fraction, while the numerator is the top number.

numerator/denominator

Let's analyze the answer choices.

A. 6 2/3

The bottom number of the fraction is a 3, so this cannot be correct.

B. 16/18

The denominator here is 18, so this choice is also incorrect.

C. 6/7

In this fraction the numerator is a 6, but the denominator is a 7, so this choice is also wrong.

D. 1/6

This choice is the correct answer. The denominator, or bottom number is a 6.

The answer is D. 1/6.

8 0

3 years ago

Read 2 more answers