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3 years ago

6

The Ortiz family will travel round-trip from Indianapolis to Denver this summer. The driving distance between the two cities is

1,058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. They usually spend about $2.89 per gallon.

1 answer:

MatroZZZ [7]3 years ago

7 0

The gas will cost $1,528.82.

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an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?

olga55 [171]

Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

$r=\dfrac{30}{2}$

$r=15$

Area of a circle is:

$A=\pi r^2$

Putting $\pi = 3.14$ and $r=15$ in the above formula, we get

$A=(3.14)(15)^2$

$A=(3.14)(225)$

$A=706.5$

Therefore, the area of the hold is 706.5 square cm.

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3 years ago

Find the total surface area of the following cone. Leave your answer in terms of Pi. 4cm 3cm

castortr0y [4]

The triangle formed from the height of the cone and the radius of its base is a special 3,4,5 triangle. The slant height is 5cm.

Recall that the area of a circle = pi*r^2

Substitute 3 in for r

Area = pi * (3)^2 = 9pi

SA = pi*r*l + B

Substitute our values into the equation

SA = pi * 3 * 5 + 9pi

SA = 15pi + 9pi

SA = 24pi cm^2

5 0

2 years ago

5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.

Mrrafil [7]

10x(3x^2)
15x^2(2x)
5x(6x^2)

7 0

3 years ago

W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Bo

weeeeeb [17]

Answer:

Proper Subsets = 1023

Step-by-step explanation:

Given $W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}$

Required

Determine the proper subsets

Proper Subset (P) is calculated using;

$P = 2^n - 1$

Where

$n = number\ of\ elements$

In this case;

$n = 10$

So:

$P = 2^n - 1$

$P = 2^{10} - 1$

$P = 1024 - 1$

$P = 1023$

Hence;

<em>Proper Subsets = 1023</em>

7 0

3 years ago

Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was

Ivan

Answer: $\pm0.1706$

Step-by-step explanation:

Given : Sample size : n= 33

Critical value for significance level of $\alpha:0.05$ : $z_{\alpha/2}= 1.96$

Sample mean : $\overline{x}=2.5$

Standard deviation : $\sigma= 0.5$

We assume that this is a normal distribution.

Margin of error : $E=\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $E=\pm (1.96)\dfrac{0.5}{\sqrt{33}}=\pm0.170596102837\approx\pm0.1706$

Hence, the margin of error is $\pm0.1706$

7 0

3 years ago