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2 years ago

10

Emily is entering a bicycle race for charity. Her mother pledges $0.70 for every 0.75 mile she bikes. If Emily bikes 21 miles, h

ow much will her mother donate?

1 answer:

lara [203]2 years ago

6 0

The answer might be 19.60

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Could someone please help

myrzilka [38]

19 x 4 is the equation and the answers is 76

8 0

3 years ago

Read 2 more answers

Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)

andrezito [222]

Answer:

a) $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325$

b) The lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

Step-by-step explanation:

a) To simplify the expression $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)$ you must:

Apply Difference of Two Squares Formula: $\left(a+b\right)\left(a-b\right)=a^2-b^2$

$a=18,\:b=\tan \left(x\right)$

$\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)$

$324-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Apply the Pythagorean Identity $1+\tan ^2\left(x\right)=\sec ^2\left(x\right)$

From the Pythagorean Identity, we know that $1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Therefore,

$324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325$

b) According with the below graph, the lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

3 0

3 years ago

Boating across a river, the current moves you downstream. Instead of going directly across the river, the boat moves at a 25 deg

solong [7]

If it's described as my drawing:

The distance of downstream will be 375 * tan25 = 174.87 feet

7 0

2 years ago

Am I correct or not???

pentagon [3]

Yes that is correct.Well done!:D

3 0

2 years ago

I really don’t understand this and i need help so if you can pls help

ohaa [14]

Answer:

1537500

Step-by-step explanation:

it should be that. all you do is multiply 615000 by 2.5

5 0

2 years ago