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blondinia [14]
3 years ago
10

A rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'. What is the geometric proba

bility that a model rocket falling randomly on the pad will land in the target?
Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

9.6%

Step-by-step explanation:

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You make a cylinder that has a radius of 4 feet and a height of 7 feet out of cardboard. Cardboard costs$0.08 per square foot. h
nadezda [96]

Answer:

Step-by-step explanation:

Here, you should find the area of the cylinder. Remember the superficial area of a cylinder is

2\pi rh+2\pi r^2 ( )

Since we have r= 4 and h=7, we get

A= 2\pi (4)(7)+2\pi(4)^2=88\pi

To find the cost you only need to multiply area A by 0.08. That is

C= 88\pi \times 0.08

6 0
3 years ago
Two angles are supplementary. The first angle measures 60°. What's the measurement of the second angle?
Juliette [100K]

Answer:

D

Step-by-step explanation:

The sum of supplementary angles is 180°

To find the supplement of 60° subtract it from 180°, that is

second angle = 180° - 60° = 120° → D

5 0
3 years ago
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The Appalachian Trail is a hiking trail that passes through the Appalachian Mountains.
belka [17]

1/4 gallon of water

9 0
4 years ago
Read 2 more answers
Simplify: xy^2(-2x)(3xy)(-4x^2y)1/8x^2y^3
vredina [299]

Answer:

-12x^5 y^4

Step-by-step explanation:

3 0
3 years ago
Among all pairs of numbers (x,y)such that 6x+2y=36 find the pair for which the sum of squares, x^2+y^2 is minimum.
lora16 [44]
First, we simplify 6x+2y=36 into 3x+y=18 by dividing by 2. This means that y=-3x+18.


The sum x^2+y^2 can be written as: x^2+y^2=(x+y)^2-2xy, 
<span>
from the binomial expansion formula: </span>(x+y)^2=x^2+2xy+y^2.
<span>
Thus, substituting </span>y=-3x+18 and simplifying we have<span>

</span>x^2+y^2=(x+(-3x+18))^2-2x(-3x+18)=(-2x+18)^2+6x^2-36x=4x^2-72x+18^2+6x^2-36x=10x^2-108x+18^2.

This is a parabola which opens upwards (the coefficient of x^2 is positive), so its minimum is at the vertex. To find x, we apply the formula -b/2a. Substituting b=-108, a=10, we find that x is 108/20=5.4.


At x=5.4, the expression 10x^2-108x+18^2, which is equivalent to x^2+y^2, takes it smallest value.

Substituting, we would find 10x^2-108x+18^2=10(5.4)^2-108(5.4)+18^2=291.6-583.2+324=32.4 This is the smallest value of the expression. 


For x=5.4, y=-3x+18=-3(5.4)+18=1.8.



Answer:   (5.4, 1.8)
8 0
3 years ago
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