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3 years ago

What’s the answer to this please, thanks!

Mathematics

1 answer:

Bumek [7]3 years ago

3 0

Answer:

8 < x < 16

Step-by-step explanation:

Consider an angle slightly less than 180 between the 4 and 12 ft sides. The measure between the 2 end points is slightly less than the total of the two sides. So the greatest length is 16.

Consider an angle slightly more than 0 between the 4 and 12 ft sides. The measure between the 2 end points is slightly more than the difference between the two sides. So the lowest length is 8.

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A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The

DerKrebs [107]

Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

step 1

Find the volume of the cylinder

The volume is given by

$V=Bh$

where

B is the area of the base of cylinder

h is the height of cylinder

we have

$B=\pi r^{2}$

we have

$h=8\ mm$

$r=6/2=3\ mm$ ----> the radius is half the diameter

$B=(3.14)(3)^{2}$

$B=28.26\ mm^2$

substitute

$V=(28.26)(8)=226.08\ mm^3$

step 2

Find the volume of the sphere

The volume is given by

$V=\frac{4}{3}\pi r^{3}$

we have

$r=6/2=3\ mm$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}(3.14)(3)^{3}=113.04\ mm^3$

step 3

Adds the volumes

$226.08+113.04=339.12\ mm^3$

6 0

3 years ago

Find the range. 4.7 6.3 5.4 3.2 4.9 3.1 –3.1 9.5 –9.5

WINSTONCH [101]

Answer:

The range is 19

Step-by-step explanation:

First, you have to order the numbers from least to greatest:

-9.5, -3.1, 3.1, 3.2, 4.7, 4.9, 5.4, 6.3, 9.5

Then, you have to find the difference between the largest number and and smallest number. You do this by subtracting them:

9.5 - (-9.5)= 19

So, the range is 19

8 0

3 years ago

A triangle who has two sides to the links of 7 AM and 12 PM which of the following wants to represent the length of the third si

IgorLugansk [536]

Answer:

What do you mean by writing time?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

2 tbsp. of peanut butter have 0.25 of total carbohydrate a day what fraction is that?

sergij07 [2.7K]

0.25 is 1/4 if that's what youre asking, i'm not sure,

6 0

2 years ago

Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?

BaLLatris [955]

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28 <= This equation is about the number of coins.

0.05n + 0.10d = 2.35 <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d = 2.35

0.05n + 0.10d = 2.35

Now there is only one variable.

0.05(28 - d) + 0.10d = 2.35 <=distribute this

0.05(28 - d) + 0.10d = 2.35

1.4 - 0.05d + 0.10d = 2.35 <=combine like terms

1.4 + 0.05d = 2.35 <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

n + 19 = 28 <=isolate n

n = 28 - 19

n = 9

Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

8 0

3 years ago

Read 2 more answers