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4 years ago

Help math problem please

Mathematics

1 answer:

Irina18 [472]4 years ago

4 0

Since the shortest route is the one going through Millersburg, we add 8 1/2 miles to 18 1/2 miles. The answer is 27 miles.

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1+Sin/Cos + Cos/1+Sin = 2Sec

Bond [772]

Step-by-step explanation:

Consider the left-hand side:

$\dfrac{1+\sin{\theta}}{\cos{\theta}} + \dfrac{\cos{\theta}}{1+\sin{\theta}}$

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

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

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

$\:\:\:\:= \dfrac{2}{\cos{\theta}} = 2\sec{\theta}$

7 0

3 years ago

Simplify the radical expression. PLEASE HELP!!!

andrew-mc [135]

√15y*3√81y

√15y*√729y

√10935y^2

√729*15*y2

27y√15

4 0

4 years ago

Read 2 more answers

Rewrite the following polynomial so the exponents decrease from left to right 22x4 – 3x8 + 12Rewrite the following polynomial so

Cloud [144]

$-3x^8+22x^4+12$

5 0

4 years ago

Given a quadratic function that is reflected across the

deff fn [24]

Answer:

y=1/3 x2

Step-by-step explanation:

7 0

3 years ago

find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer

nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring: (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.

The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10 True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

6 0

4 years ago