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2 years ago

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Simon drove for 2 1/2 hours to get from his house to the beach. Simon averaged 55 miles per hour on the trip. What is the distan

ce from Simon's house to the beach?

1 answer:

VARVARA [1.3K]2 years ago

6 0

Answer:

137.5 Miles

Step-by-step explanation:

Time driven=5/2 hours

Miles per hour=55

55 times 5/2= 137.5 miles

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Which of these is closest to the time in years that it will take an investment to triple when it is invested in an account that

kkurt [141]

Answer:

20.4 years

Step-by-step explanation:

The nper formula in excel comes handy in this scenario:

=nper(rate,pmt,-pv,fv)

Rate is the monthly rate of 5.4%/12

Assuming actual investment is $5,000 which is pv

The triple amount would be $5,000*3=$15,000 which is future value fv.

pmt is the regular cash flow the investment which is zero

=nper(5.4%/12,0,-5000,15000)= 244.68 months

Yearly it can be expressed as = 244.68/12 =20.39 years

When rounded to one decimal place it becomes 20.4 years

5 0

2 years ago

Elaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 in wide 12 in long and 5 cm deep. ( 1 g

padilas [110]

Answer:

b. The paint will not fill the tray by 5.22 in3.

Step-by-step explanation:

The computation is shown below:

First we have to determine the volume of tray by using the following equation

$V = L \times W \times H$

Now transform this from dimensions to inches

Now putting the values,

$V = 10\times12\times (5\times(\frac{1}{2.54})) \\\\As\ 5 cm = 5 \times (\frac{1}{2.54})$

the volume would be equivalent to the

236.22 inches^3

Now 1 gallon is 231 inches^3

So, the remaining would be

= 236.22 - 231

= 5.22^3

Therefore the correct option is b.

Hence, all the other options are wrong

7 0

3 years ago

A theater has 30 seats in the first row, 33 seats in the second row, 36 seats in the third row, and so on in the same increasing

Ghella [55]

The answer is A. 765

4 0

3 years ago

Solve 4 + 2 sinx= 14-8 sinx for 0° ≤ x ≤ 180

Oduvanchick [21]

<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$4 + 2 sin(x)= 14-8 sin(x)$

<h3>2. Subtract "4" from both sides of the equation.</h3>

$-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)$

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

$2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10$

<h3>4. Divide both sides by 10.</h3>

$\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1$

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

$arcsin(sin(x))=arcsin(1)\\ \\x=90$

<h3>6. Conclude.</h3>

<u>x= 90°</u>.

3 0

1 year ago

What is the height, x, of the equilateral triangle?

e-lub [12.9K]

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. $h = 7\sqrt{3}$ inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

For this problem, we have that:

The height is one side of the triangle.

The other side is half the length, of 7 in.

The hypotenuse is the length, of 14 in.

Hence the height is found as follows:

$h^2 + 7^2 = 14^2$

$h = \sqrt{147}$

$h = \sqrt{49 \times 3}$

$h = 7\sqrt{3}$ inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

7 0

1 year ago