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Mamont248 [21]
3 years ago
9

Find the area of the composite figure.

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0
Find the area of all the separate figures and add them together
area of rectangle = length x width
11 x 3 = 33 ft
area of square = a^2
3^2 = 9ft
area of triangle = base x height over 2
11 x 3 = 33
33 over 2 = 16.5 ft
33 + 9 + 16.5 = 58.5 ft ^ 2
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The diameter of a sphere is measured to be 4.17 in.
gtnhenbr [62]

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

<h2>a).</h2>

We can find the radius using the formula

radius =  \frac{diameter}{2}

From the question

diameter = 10.59 cm

So we have

radius =  \frac{10.59}{2}

<h3>radius = 5.30 cm</h3>

<h2>b).</h2>

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

<h3>Surface area = 353 cm²</h3>

<h2>c).</h2>

Volume of a sphere is given by

\frac{4}{3} \pi  {r}^{3}

r = 5.30

The volume of the sphere is

\frac{4}{3} ( {5.30})^{3} \pi

= 623.61451

We have the answer as

<h2>Volume = 623.6 cm³</h2>

Hope this helps you

3 0
4 years ago
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ( μ, rho, σ) for the indicat
ipn [44]

Answer:

c) H0 : p = 5.8%

H1 : p > 5.8%

Step-by-step explanation:

At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.

A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness

At the null hypothesis, we test if the percentage is 5.8%

H_0: p = 5.8\%

At the alternate hypothesis, we test if this percentage is more than 5.8%. So

H_a: p > 5.8\%

This means that the correct answer is given by option c.

3 0
3 years ago
Read 2 more answers
Which expression is equal to 64
PtichkaEL [24]
6 6 6 6 or non cause non are prob correct
8 0
2 years ago
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Como podríamos saber cuantos camellos le corresponden a cada hermano en realidad
SCORPION-xisa [38]

Answer:

Eldest brother = 18 camels

2nd brother = 12 camels

Youngest brother = 4 camels

Step-by-step explanation:

Question posted:

How could we know how many camels actually correspond to each brother?

It is from "the man who calculated":

The question is incomplete without the background information.

Based on the question, It has to do with sharing an inheritance of 35 camels among 3 brothers.

"The man who calculated", by Malba Tahan.

Since the complete question isn't available, we are going to look at the following question to understand how to do the calculation.

Question:

How can an inheritance of 35 camels be divided among three brothers in such a way that the eldest brother gets half of them, the second one gets 1/3 of the total and the youngest brother gets 1/9 of the total camels?

Solution:

Total number of camels= 35

Eldest brother gets half: 1/2 of 35 gives a fraction and not an whole number

2nd brother = 1/3 of 35 (gives a fraction)

3rd brother = 1/9 of 35 (gives a fraction)

Since we can't have a camel in fraction except in whole number, we would look for the closest number to 35 that would be divided by 2, 3 and 9 respectively without giving a fraction.

Number 36 is the closest number to 35 that satisfies this condition.

1st brother = 1/2 × 36 = 18 camels

2nd brother = 1/3 × 36 = 12 camels

3rd brother = 1/9 × 36 = 4 camels

Now let's add the camels the 3 brother got together = 18 + 12 + 4 = 34 camels

Total camels - amount shared = 35 -34 = 1

Meaning one camel is remaining. The distributor would keep the remaining one as that's the way such distributions could be achieved.

8 0
3 years ago
Pls help due soon ty
Feliz [49]
The first table : y=4x
the second table: y=1.5x
the third table: y= 1.25x

if you want help on how to do it: plug each of those equations into the “desmos” graph! from looking at those table points (x,y) you can find which equation matches the table

for instance on table one: I put y=4x into desmos then looked at graph one, I chose the point (2,8) I went to 2 on the x axis and moved my finger up 8 and that point was directly on the line meaning that table matches the equation. be sure to also do the same thing with the other points to double check!
5 0
4 years ago
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