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Sindrei [870]
3 years ago
7

An 18-foot ladder is leaning against the side of a building such that its base makes an angle of 65º with the ground. How far fr

om the side of the building, b, should the base of the ladder be placed? Round to the nearest tenth of a foot.

Mathematics
1 answer:
wariber [46]3 years ago
3 0

Hello!

This problem is about relating trigonometric values to an unknown side.

We are given an angle side, and we can determine that another angle made would be a 90 degree angle.

Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.

65+90+x+180

x=180-90-65

x=25

After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.

\frac{16}{sin(90)}=\frac{b}{sin(25)}

b=16sin(25)

Make sure to be in degrees when putting this in a calculator.

b=6.8

Hope this helps!

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Find the radius of a circle in which an inscribed square has a side of 8 inches.​
Semenov [28]

Answer:

4\sqrt{2} =5.66

Step-by-step explanation:

The square is in the circle, so the diameter is the diagonal line of the square. This divides the square into two right triangles.

Two sides of the right triangle equal 8. This qualifies it as a special right triangle. This triangle has two sides that = x (in this case 8) and the hypotenuse is x\sqrt{2}.

Substitute 8 in for x.

8\sqrt{2} is the diameter, so we divide in half to get the radius = 4\sqrt{2}

7 0
3 years ago
At the Clam Shack, a large bucket has 25 clams, and a small bucket has 13.
Nat2105 [25]

Answer:

10 large and 10 small buckets in total.

214 clams in total.

6 0
3 years ago
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Express the number 0.00001038 in scientific notation
In-s [12.5K]

For this case it is observed that the "zeros" are to the left of the expression, therefore the exponent, to be expressed in scientific notation, will be negative. That is to say:

10.38 * 10^ {- 6}

This means that by running the decimal 6 spaces to the left we will get the initial expression.

ANswer:

10.38 * 10^{ - 6}

4 0
3 years ago
A rectangular-based pyramid has a height of 5” and the base measurements are 4”and 5”. Find the volume of the pyramid.
Svetach [21]

Answer:

The volume of the pyramid is 33.33 cubic inches

Step-by-step explanation:

we know that

The volume of the rectangular bases pyramid is given by the formula

V=\frac{1}{3}Bh

where

B is the area of the rectangular base of pyramid

h is the height of pyramid

we have

B=(4)(5)=20\ in^2\\h=5\ in

substitute

V=\frac{1}{3}20(5)=33.33\ in^3

6 0
4 years ago
OKAY CAN SOMEONE PLEASE ANSWER THIS ALREADY!? :) SOMEONE KEEPS DELETING THIS QUESTION AND IVE BEEN ASKING FOR LIKE 2 WEEKS LOL!
Eva8 [605]
"Factoring Quadratic Polynomials into Linear Factors. If x 1 and x 2 are the roots of quadratic polynomial of a x 2 + b x = c (i.e.the root of equation of a x 2 + b x + c = 0 ), then a x 2 + b x + c = a ( x − x 1 ) ( x − x 2 ) .This is the formula of factoring quadratic polynomial into factors."
Hope this helps!!!
4 0
4 years ago
Read 2 more answers
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