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Serjik [45]
3 years ago
15

Sara is painting her house. to paint the second floor, she needs to lean her 15 foot ladder against her house to reach a point t

hat is 11 feet above the ground
A) What is the angle of elevation that Sara's ladder will form with the ground?
B) How far from the base of the house should Sarah place the base of her ladder?
Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

For A)

arcsin(11/15)=angle of elevation

47.17=angle of elevation

For B)

tan(47.17)=11/x

11/tan(47.17)=x

10.2=x

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What’s the missing factor?
Vesna [10]

The missing factor is 1 5/8

<u>Step-by-step explanation:</u>

Let us consider the missing factor has 'x'

The given expression is 4 1/2 - x = 2 7/8

<u>To find x :</u>

The first step is to bring all the constant terms on on side and x on the other side,

⇒ 4 1/2 - 2 7/8 = x

Now, the numbers are in improper fraction (mixed fraction). So you have to convert them into proper fraction.

To convert the improper fraction 4 1/2 into proper fraction,

Multiply the denominator 2 with 4 and the result 8 is added with the numerator 1.

⇒ 4 1/2 = 9/2.

To convert the improper fraction 2 7/8 into proper fraction,

Multiply the denominator 8 with 2 and the result 16 is added with the numerator 7.

⇒ 2 7/8 = 23/8.

Now replace them in the given expression. The expression becomes as :

⇒ (9/2) - (23/8) = x

Cross multiply 2 and 8,

⇒ (72 - 46) / 16 = x

⇒ 26 / 16 = x

⇒ 13/8 = x

The x value is 13/8. You have to convert it into mixed fraction (since the question is given in the form of mixed fraction).

<u>To convert into mixed fraction,</u>

Divide 13 by 8 and write them in the form of Quotient (Reminder / Divisor).

⇒ 13 ÷ 8

⇒ 1 (quotient)

⇒ 5 (remainder)

The divisor is 8.

Therefore, x = 13/8 can be written as 1 5/8.

The missing factor is 1 5/8.

8 0
4 years ago
What is the x-intercept of -2x 5y = 20 ? question 1 options: 10 4 -4 -10?
Ahat [919]
You mean -2x+5y=20 if it was that's how you do it
so if you're finding the x intercept the y will turn to 0 why because you're only looking for x their's no need for y
so it will be -2x+0=20
-2x=20 if it's multiplication then you change it to division
-2x/-2=20/-2
x=-10 








7 0
3 years ago
A cone has volume 12 cubic inches. Its radius is 2 inches. What is its height?
Paladinen [302]

Answer:

h≈2.86

Step-by-step explanation:

8 0
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JulijaS [17]

Answer:

10 pounds for $4.99

Step-by-step explanation:

If you multiply the 5 pounds for 2.69 by 2, you would get 10 pounds of hamburger for 5.38 which is more than 4.99

7 0
3 years ago
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567,890
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