Ask question

Ask question

All categories

3 years ago

15

Given: △KPS m∠P=105°, m∠S=30° PS=12 Find: PK.

1 answer:

Jobisdone [24]3 years ago

7 0

Answer:

PK=8.49m

Explanation:

We have sine formula

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

By sine formula we have

$\frac{PS}{sinK} =\frac{PK}{sinS} =\frac{KS}{sinP}$

We have PS = 12, ∠P=105° and ∠S=30°, so ∠K=180°-(105°+30°)=45°

Substituting

$\frac{12}{sin45} =\frac{PK}{sin30} \\ \\ PK=8.49m$

You might be interested in

Can someone please help? i’ll make you a brainliest.

Darya [45]

Answer:

b

Step-by-step explanation:

4 0

2 years ago

Cheri walked 12 blocks in 36 minutes. What was Cheri's speed per minute?

Vesnalui [34]

3 is the speed per minute!

3 0

3 years ago

Read 2 more answers

What is the term of a 7-term geometric series if the first term is -11 the last term is -45,056 and the common ratio is -4

shutvik [7]

I assume you mean to ask how to find the sum of the seven terms?

You have

$a_2=ra_1$
$a_3=ra_2=r^2a_1$
$a_4=ra_3=r^3a_1$
...
$a_7=ra_6=r^6a_1$

So the sum is

$a_1+ra_1+r^2a_1+\cdots+r^6a_1=a_1(1+r+r^2+\cdots+r^6)=a_1\times\dfrac{1-r^7}{1-r}$

You know that $a_1=-11$ and $r=-4$ , so the sum is equal to

$-4\times\dfrac{1-(-4)^7}{1-(-4)}=-13108$

8 0

3 years ago

Find the volume of the cylinder.

Georgia [21]

<h3>Answer:</h3><h3>Exact volume = 32pi</h3><h3>Approximate volume = 100.48</h3>

The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

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

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

6 0

2 years ago

Simplify <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B6%5D%7B5%7D%20%20%5Ctimes%20%20%5Csqrt%5B2%5D%7B5%7D%20%20%3D%20" id

jek_recluse [69]

Step-by-step explanation:

$\sqrt[6]{5} \times \sqrt[2]{5}$

$= {5}^{ \frac{1}{6} } \times {5}^{ \frac{1}{2} }$

$= {5}^{ \frac{1}{6} + \frac{1}{2} }$

$= {5}^{ \frac{1 + 3}{6} }$

$= {5}^{ \frac{4}{6} }$

$= {5}^{ \frac{2}{3} }$

$= \sqrt[3]{ {5}^{2} } (ans)$

5 0

3 years ago