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SVETLANKA909090 [29]
2 years ago
12

Upper A 4​-ft-tall fence runs parallel to the wall of a house at a distance of 8 ft. Find the length of the shortest ladder that

extends from the ground to the house without touching the fence. Assume the vertical wall of the house is 20 ft high and the horizontal ground extends 25 ft from the fence.
Mathematics
1 answer:
kherson [118]2 years ago
5 0

Answer:

Length of ladder = approximately 39 ft

Step-by-step explanation:

The formation is a right angle to and we are looking for the hypotenuse.

But first

The height = was of the house = 20ft

Total length = the 25ft extension+ the 8ft distance betwee the fence and the house

Total length= 25 +8 = 33ft

Length of the ladder = hypotenuse

Let length of the ladder be x

X² = 33² +20²

X² = 1089 + 400

X² = 1489

X= √1489

X= 38.59 ft

Length of ladder = approximately 39 ft

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Charmaine pays $848 for landscaping rocks for a project. The cost per pound is 32 cents. How many pounds did she purchase?
otez555 [7]
Okay so since it is 32 cents, it will be 0.32
You need to find the number of pounds
So, do 848/0.32
You get 2650
Charmaine purchased 2,650 pounds of rocks
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1 year ago
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On January 1, year 1, Klondike issued 10-year bonds with a stated rate of 10% and a face amount of $100,000. The bonds pay inter
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Answer:

91,000

Step-by-step explanation:

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2 years ago
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Given directed line segment QS , find the coordinates of R
Degger [83]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at (x_1,y_1) and B(x_2,y_2) is given by the formula:

x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1

If point Q is at (x_1,y_1) and S at (x_2,y_2)  and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:

x=\frac{3}{3+5}(x_2-x_1)+x_1=\frac{3}{8}(x_2-x_1)+x_1\\ \\y=\frac{3}{3+5}(y_2-y_1)+y_1=\frac{3}{8}(y_2-y_1)+y_1

Let us assume Q(−9,4) and S(7,−4)

x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1

4 0
2 years ago
An Adult ticket at an amusement park costs $24.95 and a child's ticket costs $15.95. A group of 10 people paid $186.50 to enter
leva [86]

Answer:

There were 3 adults

Step-by-step explanation:

Step 1: Derive the first expression

a+c=10...equation 1

where;

a=number of adults

c=number of children

And total number of people=10

Step 2: Derive the second expression;

Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)

where;

Total cost of tickets=$186.50

price per child ticket=$15.95

price per adult ticket=$24.95

number of children=c

number of adults=a

replacing;

(15.95×c)+(24.95×a)=186.5

24.95 a+15.95 c=186.5....equation 2

Step 3: Combine equation 1 and 2 and solve simultaneously

24.95 a+15.95 c=186.5

-

24.95(a+c=10)

(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)

-9 c=-63

c=-63/-9

c=7

replace the value for c in equation 1

a+c=10

a+7=10

a=10-7

a=3

There were 3 adults

6 0
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Answer:

b

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The slope is positive because as the age increases, the value increases.

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