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guapka [62]
3 years ago
10

A 13-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approxima

te how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0

Answer: 12.65 ft

Pythagorean theorem is a^{2} + b^{2} = c^{2}

So, a^{2} + 3^{2} = 13^{2}

169 - 9 = 160

\sqrt{160} is 12.65.

Hope it helps.

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Four times a number minus twice another number is -16. The sum of the two numbers is -1. Find the numbers
Ivenika [448]

Answer:

2 and -3

Step-by-step explanation:

Let the numbers be x and y ∴ 4x -2y =-16......................Eqn 1

and x+y=-1.................................Eqn 2

this ⇒x=-1-y. Substitute the value of x to be=-1 -y and putting in Eqn 1 yields the following 4(-1-y)-2y =-16 0r -4-4y-2y=-16

⇒-4-6y=-16 0r =-6y=-12 ∴y is 2

⇒ and x is -3

7 0
3 years ago
What is the total volume of the snow used to make the snowman if the head is 12 inches wide, the middle is 16 inches wide, and t
Nutka1998 [239]
The snowman is made of 3 spheres (balls) of snow. The diameters, from top to bottom, are 12, 16, 18 inches
Therefore, the radii of the 3 spheres are, respectively, 6, 8, and 9 inches.

The volume of a sphere of radius, r, is given by the formula: V = 4/3 π r3
So, the total volume of snow is the sum of the 3 volumes: V = 4/3 π (63 + 83 + 93)
= 4/3 π (1,457)
=6,099.97
Your answer would be D. 6,099.97
I hope this helps!
4 0
2 years ago
What is the length of ST? Please explain your answer
Aliun [14]
We know that

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. (Intersecting Secant-Tangent Theorem)

so

ST²=RT*QT

RT=7 in

QT=23+7-----> 30 in

ST²=7*30-----> 210

ST=√210-----> 14.49 in


the answer is

RT=14.49 in

4 0
3 years ago
Joyce took out a small loan for $1,200. The interest on the loan was 10.5%, but she paid it off in just 18 months. How much did
jasenka [17]

Answer:

She paid back $192 in interest

Step-by-step explanation:

A = P(1+r)^n

P = $1,200

r = 10.5% = 0.105

n = 18 months = 18/12 = 1.5 years

A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392

Amount = $1,392

Principal = $1,200

Interest = amount - principal = $1,392 - $1,200 = $192

7 0
3 years ago
RECREATION An instructor at a swimming pool asked her students if they would be interested in a n advanced swimming course, and
vfiekz [6]
She can expect 522 people to take the advanced course.
3 0
2 years ago
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