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Llana [10]
2 years ago
13

The speed limit sign on the freeway said 110 kilometers per hour, but the speedometer on Cesar's car is calibrated in miles per

hour. How fast should Cesar drive his car to avoid a speeding ticket if 1 kilometer is about 0.62 miles?
Mathematics
1 answer:
Lisa [10]2 years ago
6 0

Answer:

68.2 miles per hour

Step-by-step explanation:

Speed limit = 110 kilometers per hour

1 kilometer = 0.62 miles

110 kilometers = x miles

Cross product

1*x = 0.62*110

x = 68.2 miles

Cesar should drive at 68.2 miles per hour to avoid a speeding ticket

110 kilometers per hour = 68.2 miles per hour

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Step-by-step explanation:

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2 years ago
Use the law of cosines to write an expression equivalent to b
andrezito [222]

Given:

A triangle ABC.

The given expression for b is:

b=\sqrt{m+n-pq}

To find:

The expression that is equivalent to b.

Solution:

According to the Law of Cosines,

b^2=a^2+c^2-2ac\cos B

It can be written as:

b=\sqrt{a^2+c^2-2ac\cos B}              ...(i)

We have,

b=\sqrt{m+n-pq}                                ...(ii)

On comparing (i) and (ii), we get

m=a^2

n=c^2

p=2ac

q=\cos B

Therefore, the required values are m=a^2,n=c^2,p=2ac,q=\cos B.

3 0
2 years ago
3. Greg's family went to the movie theater and bought
skad [1K]

Answer:

$25.50

Step-by-step explanation:

35 - 9.5 = x

25.5 = x

5 0
3 years ago
Read 2 more answers
Expansion of a^4+b^4
amid [387]

Answer:(a+b)^4

Step-by-step explanation:

You first see what they both have in common. In this case it is the the 4 squared. You then take that out and you see what is left. The thing that is left is a+b.

So you put the a+b inside the parentheses and the 4 squared outside.

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7 0
3 years ago
A lab is testing the amount of a certain active chemical compound in a particular drug that has been recently developed. The man
Mazyrski [523]

Answer:

The 95% confidence interval is "87.94, 91.86".

Step-by-step explanation:

The given values are:

Sample batches,

n = 25

Sample mean concentration,

\bar{x} = 89.9 mg

Amount of chemical,

σ = 5

α = 0.05

The critical value from Z table will be:

=  Z(\frac{\alpha}{2} )

=  Z(\frac{0.05}{2} )

=  1.96

Now,

The confidence interval will be:

=  \bar{x}  \pm Z(\frac{\alpha}{2} )\times \frac{\sigma}{\sqrt{n} }

On substituting the values, we get

=  89.9 \pm Z(\frac{0.05}{2})\times \frac{5}{\sqrt{25}}

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Lower limit will be:

=  89.9 -1.96\times 1

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Upper limit will be:

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=  91.86

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2 years ago
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