All categories

2 years ago

A monument in the shape of a square pyramid was built in a park.

Mathematics

1 answer:

True [87]2 years ago

8 0

The least amount of money that should be budgeted to paint the monument is $1692.

<h3>Least amount of money that should be budgeted</h3>

First step

Using Pythagorean theorem to find the surface area

Since POR is a right triangle

Hence:

PO=20

BR=12

OR=12

PR=√20²+12²

PR=400+144

PR=544

Area of PBC=1/2×24×√544

Area of PBC=12√544

Lateral surface area=4×12√544

Lateral surface area=48√544

Lateral surface area=1119.54²ft

Second step

Since regular paint is 2 coats 200 sq. ft per gallon

Hence:

Number of gallons=1119.54×2/200

Number of gallons= 11.2 gallons

11.2×35= 392

1119.54/80=13 gallons

13×100 =1300

Last step

Least amount=392+1300

Least amount= $1692

Therefore the least amount of money that should be budgeted to paint the monument is $1692.

Learn more about budget least amount here:brainly.com/question/7068523

brainly.com/question/25294118

#SPJ1

You might be interested in

1)Which choices shows the statement below in if-then form? Exercise makes you healthier.

jek_recluse [69]

Answer:

D for both

Step-by-step explanation:

Exercise is the condition and healthier is the outcome. So if you exercise then you will be healthier.

All cardinals are red. But not all red birds are cardinals. So d is the only one that is always true

6 0

2 years ago

Read 2 more answers

Help me and don't put wrong answer. 30 points.

vovangra [49]

Answer:

I believe this is a METAPHOR cause you cant really throw your voice as rope.

4 0

3 years ago

Read 2 more answers

Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk pr

Jobisdone [24]

Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let $M(a) = 40.8-1.1\cdot a$ , where $a$ is the age of the dairy cow, measured in years, and $M(a)$ is the predicted milk production, measured in gallons per week.

Besides, we consider $a_{1}$ and $a_{2}$ , such that $a_{1}\ne a_{2}$ , we define the difference between predicted milk productions ( $\Delta M$ ) below:

$\Delta M = -1.1\cdot (a_{2}-a_{1})$ (1)

If we know that $a_{1} = 5\,yr$ and $a_{2} = 10\,yr$ , then the difference between predicted milk productions is:

$\Delta M = -1.1\cdot (10-5)$

$\Delta M = -5.5\,\frac{gal}{week}$

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.

6 0

2 years ago

I neeeeeeeeeeeeeeeeeeed help

iris [78.8K]

5.8 * 10^7

2.5* 10 ^ -3

5 0

2 years ago

For a data set of the pulse rates for a sample of adult? females, the lowest pulse rate is 39 beats per? minute, the mean of the

Zarrin [17]

Answer:

a) The difference is of 35 beats per minute.

b) So 3.07 standard deviations below the mean.

c) Z = -3.07.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu = 74$ , standard deviation $\sigma = 11.4$