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Rzqust [24]
2 years ago
14

A book is in the shape of a right rectangular prism. It measures 8 1/2 inches tall, 7 inches wide, and 2 1/2 inches thick. What

is the volume of the book? 47 1/2 in³ 80 1/2 in³ 148 3/4 in³ 179 1/2 in³
Mathematics
2 answers:
Alenkasestr [34]2 years ago
6 0
Hello!

The formula for volume of a rectangular prism is:

V = lwh

Let's convert the dimensions to decimals, and then use the formula to solve.

8 1/2 = 8.5 as a decimal.

7 = 7 as a decimal.

2 1/2 = 2.5 as a decimal.

Multiply:

V = 8.5 × 7 × 2.5

V = 59.5 × 2.5

V = 148.75

148.75 = 148 3/4 as a fraction because if you convert 3/4 to a decimal by dividing the numerator by the denominator, it equals 0.75.

ANSWER:

The volume of the book is 148 3/4 inches cubed.

horsena [70]2 years ago
5 0
V = L * W * H
L = 8.5
W = 7
H = 2.5

V = 8.5 * 7 * 2.5
V = 148. 75 = 148 3/4

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Slav-nsk [51]

Answer:

y - 35 = 6(x - 5)

Step-by-step explanation:

The point-slope equation of a line is

y - y_1 = m(x - x_1) ,

where

m = slope = \dfrac{y_2 - y_1}{x_2 - x_1}

and the point is

(x_1, y_1)

Let's find the slope.

m = slope = \dfrac{-31 - 35}{-6 - 5}

m = \dfrac{-66}{-11}

m = 6

We are asked to use the first point in the equation, so

x_1 = 5  and y_1 = 35

The equation is:

y - 35 = 6(x - 5)

4 0
2 years ago
The ages of the patients in a doctor's surgery are: 27, 13, 16, 20, 41 and 9. Find the mean of this set of data. Another patient
Andreas93 [3]

Answer:

The mean is 30 and there are 2 patients over this age.

Step-by-step explanation:

Add up 27+13+16+20+41+9+84=210

Then divide by the amount of numbers "7" so

210/7 is 30.

There are 2 patients over the age of 30.

Make sure that you are correct and do the problem twice.

4 0
3 years ago
Is the purple triangle a right triangle? Explain.<br><br> 15.5<br><br> 20.8 m<br><br> 14.0 m
Olenka [21]

Answer:

15.5^2 + 14.0^ = 20.8^2

436.25 = 432.64

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6 0
3 years ago
Read 2 more answers
Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13
Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: P(t)=P_i(1+r)^t

where P(t) is the population at time "t",

P_i is the initial (starting) population

(1+r) is the common ratio,

and r is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and  initial population), and solve for the unknown common ratio and its related rate of growth:

P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

1+r=1.155273\\r=1.155273-1=0.155273

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0
2 years ago
The two interior opposite Angel's of a triangle are 60° and 80°. Find the measure of the exterior angle. ​
Vadim26 [7]

let the exterior angle be x

x=60°+80°(being one exterior angle is equal to two interior angle)

x°=140°

5 0
2 years ago
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