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Dmitrij [34]
3 years ago
14

State the domain for the set of points. {(8, 8), (5, 7), (-4, 8), (4, 8)}

Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer:

(8, 5, -4, 4)

Step-by-step explanation:

The domain is basically the input or x coordinate. The x coordinates of the points are 8, 5, -4, and 4. Therefore, the domain is 8, 5, -4, and 4.

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Dale made a scale drawing of a house and its lot. The scale he used was 1 inch: 7 feet. The actual length of the backyard is 35
Kipish [7]

Answer:

5

Step-by-step explanation:

<em>35/7=5 </em>

8 0
2 years ago
The hopper bin in the picture below is modeled by the two-dimensional figure beside it. The hopper bin is
Zepler [3.9K]

The volume of the hopper bin is the amount of feed in it

  • The volume of the hopper bin is 35974 cubic feet
  • The carnival tent can be filled to 85% of its volume and not exceed the weight limit

<h3>The volume of the hopper bin</h3>

The given parameters are:

  • Height of cylinder, H = 20 ft
  • Diameter of cylinder, D = 36 feet
  • Angle, θ = 52°

Start by calculating the radius (r) of the cones.

r = D/2 -------- because the cones and the cylinder have equal diameters.

So, we have:

r = 36/2 = 18

The height (h) of the cones is:

tan(θ) = h/r

This gives

tan(52) = h/18

Make h the subject

h = 18 * tan(52)

Evaluate

h = 23.04

The volume is then calculated as:

Volume = Volume of cylinder + 2 * Volume of cone

This gives

Volume = πr^2H + 2 * 1/3πr^2h

Volume = πr^2H + 2/3πr^2h

Factor out πr^2

Volume = πr^2(H + 2/3h)

Substitute known values

Volume = 3.14 * 18^2 * (20 + 2/3 * 23.04)

Evaluate

Volume = 35973.85 cubic feet

Hence, the volume of the hopper bin is 35974 cubic feet

<h3>The weight limit of the hopper bin</h3>

The given parameters are:

  • Maximum weight = 500000 pounds
  • Feed weight = 22 pounds per cubic feet

For a feed that weighs 22 pounds per cubic feet, the weight of the hopper bin would be:

Weight = 22 * 35974 pounds

Weight = 791428 pounds

At 85% full, the weight wuld be:

Weight = 85% * 791428 pounds

Weight = 672713.8 pounds

672713.8 pounds is greater than the weight limit of 500000 pounds.

Hence, the carnival tent can be filled to 85% of its volume and not exceed the weight limit

Read more about volumes at:

brainly.com/question/3989169

4 0
2 years ago
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
sashaice [31]

Answer:

no the lines are parallel, they'll never touch each other. no solution

5 0
3 years ago
Read 2 more answers
what is the sum of the first five ferms of a geometric series with a1=10 and r=1/5? express your answer as an important fraction
mote1985 [20]
The sum of any geometric sequence, (technically any finite set is a sequence, series are infinite) can be expressed as:

s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number

Here you are given a=10 and r=1/5 so your equation is:

s(n)=10(1-(1/5)^n)/(1-1/5)  let's simplify this a bit:

s(n)=10(1-(1/5)^n)/(4/5)

s(n)=12.5(1-(1/5)^n) so the sum of the first 5 terms is:

s(5)=12.5(1-(1/5)^5)

s(5)=12.496

as an improper fraction:

(125/10)(3124/3125)

390500/31240

1775/142
6 0
2 years ago
What is the value of x in the isosceles trapezoid below?
Firdavs [7]
2x + (10x+24) = 180
12x+24 = 180
12x = 156
x = 13

answer x is 13
5 0
2 years ago
Read 2 more answers
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