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zavuch27 [327]
3 years ago
6

Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or 20 feet. He places the base of the ladd

er 6 feet from the wall and needs the top of the ladder to reach 8 feet. Which ladder length would Benton need to use to reach this height on the wall?
Mathematics
1 answer:
Feliz [49]3 years ago
7 0
10 feet.

Think of it like this:

The wall is upright, it's 90° and it's 8 feet high. The distance from the bottom of the ladder to the bottom of the wall (along the ground, which is perpendicular to the wall) is 6 feet. When Benton places the base of the ladder 6 feet away from the wall and the top is resting at the top of the wall, it looks like a triangle, right?

Using pythagoras (this rule about right-angled triangles and stuff), we can already see that the two sides when simplified are 3:4. Because the 'triangle' is a right-angled triangle, the other side HAS to be 5 to complete the ratio. We just multiply it by 2 to get the correct ratio and that's your answer!
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A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the
lara31 [8.8K]

Answer:

pi = pi

Step-by-step explanation:

Circumference = 2 * pi * r

Equation you need:

43.96 = 2 * pi * 7

43.96 = 2 * 7 * pi

43.96 / 14 = pi

pi = 3.14

5 0
3 years ago
Help please!
Ket [755]
<h3>Answer:  w < 8</h3>

w is a place holder for the cat's weight. It's some positive real number.

To describe all weights less than 8, we simply write w < 8.

For example, let's say the cat weighs 5 pounds. This would mean w = 5. In other words, 5 replaces w and we go from w < 8 to 5 < 8. This is a true inequality because 5 is smaller than 8.

Something like 10 < 8 is false because 10 is not less than 8. So w = 10 is not a solution to w < 8.

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3 years ago
36 students signed up to volunteer for a race two or three equal groups of students and each group had a different task how many
Delvig [45]

Answer:

I two groups are formed: 18 students

If 3 groups are formed: 12 students

Step-by-step explanation:

We will answer this problem based on two occurrences:

<em>1. The students chose to form only two groups:</em>

If the students chose to form only two groups, the number of students in each group will be got by dividing the total number of students by 2. this will be 36/2 = 18. Therefore, there will be 18 students per group if only 2 groups were formed.

<em>2. The students chose to form three groups:</em>

If the students chose to form three groups, we will divide the total number of students by 3. this will be 36/3 = 12. Therefore, there will be 12 students per group if only 3 groups were formed.

3 0
3 years ago
Suppose George wins 34​% of all chess games. ​(a) What is the probability that George wins two chess games in a​ row? ​(b) What
Sonbull [250]

Answer:

Step-by-step explanation:

Probability of winning a game = 0.34

a) Probability of winning two games simultaneously = .34 x .34 =.1156

b) Probability of winning 3 games in a row = .34³

c) Probability of winning three chess games in a row and failure in the fourth = .34³ x ( 1-.34)

c)

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3 years ago
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If struct definition CartesianPoint has subitems int x and int y, how many total int locations in memory are allocated for these
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Answer:

0; The struct definition just creates a type but does't allocate memory. Later variable declarations like Point myPoint will allocate memory allocations

Step-by-step explanation:

8 0
3 years ago
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