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3 years ago

Pat sewed 200 tote bags in 4 hours at what rate did pat sew the tote bags

Mathematics

1 answer:

Alik [6]3 years ago

6 0

Answer:

50 tote bags were sewed per hour

Step-by-step explanation:

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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

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

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

What value of t satisfies the equation t/8-3/4=9/16

Y_Kistochka [10]

The answer to t is t= 21/2

5 0

3 years ago

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What is 0.64 as a fraction in lowest terms

crimeas [40]

$0.64\to two\ digits\ after\ the\ decimal\ point\ therefore\ are\ hundredths\\\\0.64=\frac{64}{100}=\frac{64:4}{100:4}=\boxed{\frac{16}{25}}$

5 0

3 years ago

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If ABCD is congrunent to , pqrs, then AD is congrent to ?

katovenus [111]

Answer:

AD is congruent to RS

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

ABCD≅PQRS

then

<em>Corresponding angles</em>

∠A≅∠P

∠B≅∠Q

∠C≅∠R

∠D≅∠S

<em>Corresponding sides</em>

AB≅PQ

BC≅QR

CD≅RS

AD≅PS

7 0

3 years ago

Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?

Lelu [443]

Answer:

True

Step-by-step explanation:

1.45 the 5 is equal/above it so it is true

7 0

2 years ago

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