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ira [324]
3 years ago
13

A 12-foot ladder rests against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high a

bove the ground is the top of the ladder?
Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

3.root 15 feet

Step-by-step explanation:

To solve this problem, we will use Pythagorean’s theorem. Now let’s visualize a right angled triangle in which the hypotenuse stands for the total ladder length and the base of the ladder standing away from the wall is say the adjacent.

The length of the ladder is the opposite which is the last side of the complete triangle.

Hence, to find this side we use s^2 = 12^2 - 3^2

S^2 = 144 -9

S^2 = 135

S= square root of 135 = 3.root15 feet

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5. ¿Cuál es la expresión algebraica que representa el área de la siguiente figura?
Elden [556K]
The correct answer is:

A) 5x + 15

Explanation:
5x is the area of the green square (5•x)

15 is the area of the orange rectangle (5 •3 =15)

To have the total area you have to sum the areas of the two figures: 5x + 15
4 0
3 years ago
The population of DeSoto rose an
Vanyuwa [196]

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to make an interpretation

From the question, we have that initially when the count was started, there were 5,428 people; this means that the initial value of the data is 5,428

For the rate of change, we have that there is an average increase of 142 people for each of 5 years;

That means per 5 years, there is an increase of 142 people and this is what represents the rate of change

4 0
3 years ago
Which equation represents "the product of a number and 24 is 72"?
sattari [20]
24 x O = 72

You’re looking for an equation where 24 is multiplied by a number to equal 72, so put 72 on one side of the question and multiply 24 by a variable on the other.
6 0
3 years ago
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to
Alex Ar [27]

Answer:

About 376.99 cubic inches

Step-by-step explanation:

Cylinder has a volume of:

V=\pi r^2h

Where

V is the volume

r is the radius

h is the height

We need to find the volume of the cylinder, then multiply that answer by 3/4 to get the solution to this problem. First, the full volume of the cylinder.

Given

r = 4

h = 10

So,

V=\pi r^2h\\V=\pi (4)^2 (10)\\V=502.65

Now, we multiply by 3/4:

502.65*\frac{3}{4}=376.99

Mary should be vase to 376.99 cubic inches

4 0
3 years ago
Add (13a + 5b) + (a + 5b - 3)
Anni [7]
<span>(13a + 5b) + (a + 5b - 3)
</span><span>
= 13a + 5b + a + 5b - 3
 
= 14a + 10b - 3 </span>
5 0
3 years ago
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