F: 0- (-8)<br> G: -2 • 4<br> H: -2 + (-8)<br> J: -2 devided by 4

Use your knowledge of similar triangles to solve for x

MrMuchimi

9514 1404 393

Answer:

x = 10 2/3

Step-by-step explanation:

The ratios of corresponding sides are the same, so we have ...

x/8 = 8/6

x = 8·(8/6) = 64/6

x = 10 2/3

6 0

3 years ago

The students in the cooking club brought sugar to class they each brought 3,4,5and 6cups of sugar respectively they divided the

geniusboy [140]

Answer:

if there is 4 students then each student gets about 4 1/2 cups of sugar.

Step-by-step explanation:

3+4+5+6=18

18/4=4.5

3 0

4 years ago

Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

so

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

3 years ago

Need help w precal/algebra 2

Daniel [21]

Answer:

g(-2) = -7

Step-by-step explanation:

To find g(-2), plug -2 into g(x).

g(x) = -4x² + 3x + 15

g(-2) = -4(-2)² + 3(-2) + 15

g(-2) = -4(4) + 3(-2) + 15

g(-2) = -16 + (-6) + 15

g(-2) = -1 + (-6)

g(-2) = -7

3 0

3 years ago

A ticket for a school musical is $12. There is a 5% transaction fee if the ticket is purchased online. What is the total cost of

gulaghasi [49]

Answer: The cost of a ticket bought online is $12.60.

Step-by-step explanation: First, we need to find the value of the transaction fee. Multiply 12 and 5%.

$12 x 0.05 = $0.60.

Now we have the fee. Lets add the fee with the original cost.

$12 + $0.60 = $12.60.

Therefore, we can conclude that the cost of a ticket that is purchased online is $12.60.

3 0

3 years ago

F: 0- (-8) G: -2 • 4 H: -2 + (-8) J: -2 devided by 4