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Nataly [62]
3 years ago
9

Liliana can type a 600 word essay in just 8 minutes. how long will it take to type a 2100 word essay

Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

Answer: 28 minutes

600/8 = 2100/x

600x = 2100*8

x = 16800/600

x = 28

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What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.? Use π=3.14 an
Alex_Xolod [135]

Answer:

The volume of a right circular cone is 31400\ \text{feet}^3.

Step-by-step explanation:

The circumference of the base of a right circular cone is 125.6 ft.

Height of cone is 75 ft.

Circumference of base is :

C=2\pi r, r is radius

r=\dfrac{C}{2\pi}\\\\r=\dfrac{125.6}{2\times 3.14}\\\\r=20\ ft

The volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (20)^2\times 75\\\\V=31400\ \text{feet}^3

So, the volume of a right circular cone is 31400\ \text{feet}^3.

5 0
3 years ago
12 pts? Harris and Annabelle are 200 feet apart, and they are standing on opposite sides of a tree. The angles of elevation from
Sergio [31]
If we are to connect the root of the tree to a person to the top of the tree, we form two right triangles. If we let x and and 200 - x be the distance of Harris and Annabelle from the tree, respectively and h be the height, we form the trigonometric functions,
                                       tan 30° = h/x
                                       tan 35° = h/(200 - x)
The values of h and x in the equations are 63.28 ft and 109.62 ft, respectively. Thus, the answer to this item is approximately 63.28 ft. 
5 0
3 years ago
What is the value of x in the equation 8 + x = 3?<br><br> −5<br> 5<br> 11<br> 24
Dvinal [7]

Answer: 8 + x = 3

To solve for this, we need to get x by itself on one side of the equation.

Currently, we have 8 being added to x, so we need to perform the opposite order of equations to get rid of 8.

The opposite of +8 is -8, so subtract 8.

Remember, if you add, subract, multiply or divide by any new number, you must do it to both sides of the equation.

8 + x = 3

Subtract 8 from both sides.

8 - 8 = 0

3 - 8 = -5

We're now left with:

x = -5

Your answer is A.) -5.

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Step-by-step explanation:

3 0
3 years ago
Player I has two coins. One is fair (probability 1 2 of heads and 1 2 tails) and the other is biased with probability 1 3 heads
natali 33 [55]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
You wish to make a snack mixes from peanuts and almonds to sell in your health-food store. Mix A is half peanuts and half almond
vivado [14]

Answer:

25 pounds of mix A

10 pounds of mix B

Step-by-step explanation:

Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:

0.5A+0.25B=15

Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:

0.5A+0.75B=20

Solving the linear system:

0.5A+0.25B=15\\0.5A+0.75B=20\\0.5B=5\\B=10\ pounds\\0.5A=15-0.25*10\\A=25\ pounds

In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B

3 0
3 years ago
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