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tekilochka [14]
2 years ago
11

Toby put a 13 foot ladder against the side of his house. The distance from the base of the house to the top of the ladder is 12

ft. How far is the base of the ladder from the base of the house?
Mathematics
1 answer:
Serggg [28]2 years ago
6 0

Answer:

<h3>5 feet</h3>

Step-by-step explanation:

The set up will give a right angles triangle with:

length of the ladder as the hypotenuse h = 13 foot

The distance from the base of the house to the top of the ladder is the opposite side (y) = 12 feet

The distance of the base of the ladder from the base of the house wil be the adjacent side (x)

Using the pythagoras theorem to get x:

h² = x²+y²

13² = x²+12²

x² = 13²-12²

x² = 169 -144

x² = 25

x = √25

x = 5 feet

Hence the distance of the base of the ladder from the base of the house is 5 feet long

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How many 4-digit palindromes contain both the digits 1 and 2
guapka [62]
4 digit palindromes must be of form abba, so being required that you use both numbers, you only have two: 1221 and 2112
3 0
3 years ago
Person A can paint the neighbors house 2 times as fast as Person B. The year A and B worked together, it took them 2 days. How l
seraphim [82]

Answer:

A can paint in 3days and B in 6 days

Step-by-step explanation:

From the question we were told

Person A can paint the neighbors house 2 times as fast as Person B

Let A only paint the neighbors house in X days

Let B only paint the neighbors house in 2X days

If we express the given information from the question in terms of fraction we have,

1/X + 1/2X = 1/2

3/2X = 1/2

if we cross multiply we have

6= 2X

X= 6/2

X= 3

Then A can paint the house in 3 days and B in 2(3)= 6days.

5 0
3 years ago
It is impossible to get 6 jacks when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a proba
Vinil7 [7]

Answer:

Probability = 0

Step-by-step explanation:

If something happening is impossible, it's probability of occurring is also 0.

A deck of cards only contains 4 jacks.

Thus you can never get 6 jacks out of the deck without replacing the selected card each time.

Since we are not replacing the cards once we pick them, this event is impossible to occur.

4 0
3 years ago
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
erica [24]

Answer:

Step-by-step explanation:

0.25 x 0.044 = 0.011

a. Changing 0.25 to 25 moves the decimal 2 places to the right, and changing 0.044 to 44 moves the decimal 3 places to the right, so once we solve 25 x 44, we have to move the decimal a total of 5 places to the left.

25 x 44 = 1100, then move the decimal 5 places to the left to get 0.01100...but we don't add the zeros at the end.

b. multiplying 1/4 times 0.044 = 0.044/4 = 0.011

Hope this helps.

8 0
2 years ago
F(x) = -3(x+4)(x-6) x intercepts
DiKsa [7]

Answer:

x = - 4, x = 6

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

- 3(x + 4)(x - 6) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 6 = 0 ⇒ x = 6

7 0
2 years ago
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