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NeX [460]
2 years ago
6

How much longer will it take a car traveling at an average speed for 2 miles per hour to make the trip from San francisco to New

York than a Dc10 jet flying at an average speed of 500 miles per hour
Mathematics
1 answer:
lbvjy [14]2 years ago
7 0

Answer:

1445.6 hours

Step-by-step explanation:

Distance between New York and San Francisco = 2902.8 miles (checked online)

Average speed of car = 2 mi/hr

Average speed of jet = 500 mi/hr

Time taken by Jet:

Time taken = Distance / speed

Time taken = 2902.8 / 500

Time taken = 5.8056 = 5.8 hours

Time taken by Car :

Time taken = Distance / speed

Time taken = 2902.8 / 2

Time taken = 5.8056 = 1451.4 hours

Time difference :

1451.4 - 5.8 = 1445.6 hours

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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta
lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

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

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

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

(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1

\frac{1}{16} + (\cos{\theta})^{2} = 1

(\cos{\theta})^{2} = 1 - \frac{1}{16}

(\cos{\theta})^{2} = \frac{16-1}{16}

(\cos{\theta})^{2} = \frac{15}{16}

\cos{\theta} = \pm \sqrt{\frac{15}{16}}

Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

3 0
3 years ago
Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)
Rina8888 [55]

Answer:

g(x)=x^2+4 and f(x)=\frac{8}{x}


Step-by-step explanation:

If we want to express y as y=f(g(x)), this means that put the function g(x) into x of f(x) to get y.

The function y is given as y=\frac{8}{x^{2}+4}

<u>So we need to figure out a function g(x) that we can put into another f(x) to get y</u>

If we let g(x)=x^2+4 and f(x)=\frac{8}{x}, we can clearly see that putting g(x) into x of f(x) will give us  \frac{8}{x^2+4}, which is y.


Hence g(x)=x^2+4 and f(x)=\frac{8}{x}

3 0
3 years ago
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leva [86]
Answer:

A) 370

Explanation:
5 0
3 years ago
Express (2-I) - (-1+3i) in the form of a + ib.
oksian1 [2.3K]

Answer:

=3-4i

Step-by-step explanation:

So we have:

(2-i)-(-1+3i)

First, distribute:

=(2-i)+1-3i

Combine like terms:

=-i-3i+2+1

Add:

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So, in the a+bi format, we will have:

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7 0
3 years ago
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I need answers as soon as possible
NARA [144]

so to find 15% of 54,237, we use this equation: (x/54237) = (15/100) where x is the amount of income tax.

cross multiply: 100x = 813555

divide each side by 100 to isolate x: 8135.55

the truck driver will pay $8135.55

5 0
3 years ago
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