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2 years ago

By rounding to one significant number, estimate the answer to these questions:

Mathematics

1 answer:

Rom4ik [11]2 years ago

6 0

Answer:

a) 140000

b) 1000000

c) 9000000

Step-by-step explanation:

a) 687x164

700 * 200 =140000

b) 476x2354

500*2000=1000000

c) 8612x1497

9000*1000=9000000

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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

2 years ago

su ling started an art project with 1 yard of felt. she used to 2/6 yards on Tuesday and 3/6 yards on Wednesday. how much felt d

Natasha_Volkova [10]

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5 0

3 years ago

Read 2 more answers

Solve for the value of z: 90/15 = 6/z

lara31 [8.8K]

Answer:

z = 1

Step-by-step explanation:

90/15 = 6/z

Cross Multiply

15 * 6 = 90 * z

90 = 90z

Divide both sides of the equation by 90

z = 1

Hope this was useful to you!

3 0

2 years ago

X – y ≥ -4. <br> 2x – y ≤ 5. <br> 2y + x > 1

Katen [24]

I took a picture of the work instead ^^

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3 years ago

A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila grabs the ladder at its base and pull

olasank [31]

Answer:

13.9 ft

Step-by-step explanation:

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2 years ago