All categories

7 months ago

Watch help video If you place a 13-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladde

r be from the bottom of the building? feet Submit Answer Answer: Type here to search O

Mathematics

1 answer:

riadik2000 [5.3K]7 months ago

6 0

$\begin{gathered} X\text{ will represent the bottom of the ladder fom the bottom of the building} \\ U\text{sing pythagoras Theorem} \\ (Hyp)^2=(opp)^2+(Adj)^2 \\ 13^2=x^2+12^2 \\ 169=x^2\text{ +144} \\ 169-144=x^2 \\ 25=x^2 \\ x^2\text{ = 25} \\ x\text{ = }\sqrt[]{25} \\ x\text{ = 5foot} \end{gathered}$

You might be interested in

A die is rolled. What is the probability that the number is a factor of 6 or more than 2? Does this scenario represent mutually

goblinko [34]

Factors of 6 are : 1,2,3 and 6.

Let us find probability of getting the number that is a factor of 6.

$P(\text{ The number is a factor of 6})=\frac{4}{6} =\frac{2}{3}$

Now let us find probability of getting a number more than 2 (3,4,5,6).

$P(\text{ The number is a greater than 2})=\frac{4}{6} =\frac{2}{3}$

We can see that these two events are mutually inclusive events. We can find probability of mutually inclusive events by formula $P(\text{X or Y})=P(X)+P(Y)-P(\text{X and Y})$ .

$P(\text{ The number is a factor of 6 and greater than 2})=\frac{2}{6} =\frac{1}{3}$

Now we will find probability of getting the number is a factor of 6 or more than 2 using above formula.

$P(\text{ The number is a factor of 6 or greater than 2})=\frac{2}{3} +\frac{2}{3}-\frac{1}{3}$

$P(\text{ The number is a factor of 6 or greater than 2})= \frac{4}{3}-\frac{1}{3}=\frac{3}{3}=1$

Therefore, our probability will be 1 and this scenario represents mutually inclusive events.

6 0

2 years ago

A taxi charges $1.75 plus a free of $0.75 for each mile traveled the total cost of a ride without a tip is, $4.75. How many mile

LiRa [457]

Answer:

<u>4 miles traveled</u>

Step-by-step explanation:

1.75 + 0.75m = 4.75.

4.75 - 1.75 = 3

3 ÷ 0.75 = 4

5 0

2 years ago

Read 2 more answers

a person who weighs 120 lb on Earth would weigh 45 1/5 pounds on Mars set up a proportion to determine how much a 90 pound perso

Lunna [17]

Weight on Mars for a 90lb person: 34.05lbs

Weight on Mars : Weight On Earth/91.8m/s^2 • 3.711m/s

Earths Force : 91.8m/s^2

Mars Gravitational Force : 3.711m/s

So an object or person on Mars would weigh 37.83% its weight on earth. Therefore, a person would be much lighter on mars. A person is about 62.17% heavier on earth than on Mars.

7 0

2 years ago

-1 + 2x - x = x - 8 + (-x)

CaHeK987 [17]

Answer:

x = -7

Step-by-step explanation:

-1 + x = -8

x = -7

6 0

2 years ago

Find the surface area of a cylinder with a height of 7 m and a base radius of 6 m.

weqwewe [10]

Answer:

489.84 m²

Step-by-step explanation:

Area of one 2d circle: πr² ⇒ π6² ⇒ 36π ≈ 113.04 (using 3.14 for pi)

Area of both 2d circles: 113.04 + 113.04 =226.08 m²

Now we have to find the width of the rectangle, which is equal to the circumference of either circle:

Width of rectangle: 2πr ⇒ 2π6 = 12π ≈ 37.68 (using 3.14 for pi)

We can find the area of the rectangle now, since the length was given

Area of rectangle: 37.68· 7= 263.76 m²

Surface Area: 263.76+226.08= 489.84m²

Hopefully this helps!

6 0

2 years ago