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3 years ago

Please show work

Mathematics

1 answer:

OlgaM077 [116]3 years ago

8 0

Answer:

3.7hours

Step-by-step explanation:

Step one:

A car travels 360 miles in 8 hours

the speed is calculated as

speed= distance/time

speed= 360/8

speed= 45mph

Step two:

How much time will it take traveling 168 miles?

having found the speed, which is the rate at which the car is tavelling

time= distance/speed

time= 168/45

time= 3.7hours

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The next model of a sports car will cost 6.9% less than the current model. The current model costs $48,000. How much will the pr

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Answer:

Price is decreased by $3,312

And, the price of the next model is $44,688

Step-by-step explanation:

The computation is shown below:

Given that the current model cost is $48,000

And, there is 6.9% lower than the current model

So, the price would decrease in dollars is

= $48,000 × 6.9%

= $3,312

The price of the next model is

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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What is the value of s in the equation 3r=10+5s when r=10

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3*10 = 10+5*s
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5 0

3 years ago

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If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

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3 years ago

Please help quickly !!!! thank youuu!

Alecsey [184]

Answer: you multiply the 2 numbers and divide it by half then your answer is the easy way to do it.

Step-by-step explanation:

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2 years ago

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