Ask question

Ask question

All categories

1 year ago

11

Problem 2:Identify the domain and range of the

1 answer:

kicyunya [14]1 year ago

3 0

Domain: 2,6,8,10,13,14
Range: 1,3,3,4,7,19

You might be interested in

find the equation of a line with the given points.(put your answers in the form y=mx+b.) (1,-5) (5,-1)

denis23 [38]

Answer:

Y = 1 X - 6 or y = x - 6

hope this helped

4 0

3 years ago

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

Suppose your family is taking a road trip of 120 miles to visit a family member how long would it take to make the trip if you g

gogolik [260]

Answer: 3 hours

Step-by-step explanation: 120 miles divided by 40 miles per hour is 3, 3 = how many hours it'll take to get to the destination

7 0

3 years ago

You Spin a spinner it has 4 spaces. What is the probability that you spin a 3 and flipping heads

Anettt [7]

Answer:

12.5% or 1/8

Step-by-step explanation:

To find a compound probability multiply the likelihood of both events with each other.

Probability is how many things wished to be gotten over the total amount of possibilities for the event.

Spin a 3 on the spinner: 1/4 or 25% 1 space out of 4 spaces.

Flip the head side of the coin: 1/2 or 50% 1 side wish out of 2 sides.

1/4 x 1/2 = 1/8

1 divided by 8 = 0.125

0.125 x 100 = 12.5

12.5 is the the percentage.

5 0

3 years ago

Read 2 more answers

Is 11/16 less than 3/8

Brilliant_brown [7]

$\dfrac{11}{16} \ \textless \ \dfrac{3}{8}-FALSE\\\\because\\\\\dfrac{3}{8}=\dfrac{3\cdot2}{8\cdot2}=\dfrac{6}{16} \ \textless \ \dfrac{11}{16}$

5 0

4 years ago