MATHEMATICS HIGH SCHOOL

A slide is 21 ft long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the distance, b, from the bottom of the slide to the bottom of the stairs? Round your answer to the nearest tenth.A. 22.8
B. 19
C. 30
D. 15 User: Can the set of lengths be the side lengths of a right triangle? 18 m, 24 m, 30 m
A. yes
B. no

Answers

Answer 1
Answer:

Answer:

First Answer = 19.0

Second Answer = Yes.

Step-by-step explanation:

Length of Side = 21 ft

Vertical length of ladder = 9 ft.

This formal a Right angled triangle situation.

Distance between bottom of slide and bottom of ladder = b

Using Pythagoras theorem,

b² + 9² = 21²

b² + 81 = 441

b² = 441 - 81

b² = 360

b = √360

b =6√10

b = 18.973666...

b = 19.0 (rounded off to nearest tenth)

Given length of sides of the triangle are 18 m , 24 m and 30 m

30² = 900

18² + 24² = 324 + 576 = 900

Since, 30² = 18² + 24²

Therefore, Given set cab be the length of the sides of the right triangle.
Answer 2
Answer: FIRST QUESTION:

The slide is 21 ft long. You can imagine that this slide is actually the hypotenuse of a right angled triangle.

To get to the top of the slide you must climb up a vertical 9 foot ladder. You can imagine that this ladder is the opposite side of the right angled triangle.

Now, the distance between the bottom of the ladder and the bottom of the slide can be thought of as the adjacent side of this right angled triangle.

We know, thanks to Pythagoras that:

A²+O²=H²

A = Adjacent length = b

O = Opposite length

H = Hypotenuse

Therefore:

b²+9²=21²

b²=21²-9²

b²=360

b=√360=18.97 (2dp)

So the answer you are looking for is 19 feet to the nearest tenth (answer: B).

SECOND QUESTION:

18²+24²=30²  (Yes)

Therefore the answer to the second question is YES (answer: A).

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Answers

Answer:

24

Step-by-step explanation:

From the table given, at Mimi's Bakery, 1 X-Large sheet cake size will give us a number of servings of 120.

To find out how many X-Large cake size the school should order, simply divide the number of expected expected guests by the number of servings the X-Large cake will do.

Given that the score is expecting 2,889 guests, the school should order for:

2,889 ÷ 120 = 24.075 X-Large cakes.

Let's just say, an estimated 24 X-Large size cake should be ordered.

Final answer:

To determine the number of X-large sheet cakes the school should order, divide the total number of guests by the number of servings per cake and round up to the nearest whole number.

Explanation:

To determine how many X-large sheet cakes the school should order for 2,889 guests, we need to consult the table provided. The table shows the number of servings for different size cakes. Let's look at the X-large sheet cake row to find out how many servings it provides.

According to the table, the X-large sheet cake serves 64 people. To find out the number of X-large sheet cakes needed for 2,889 guests, we divide the total number of guests by the number of servings per cake:

Total number of guests / Number of servings per X-large sheet cake = Number of X-large sheet cakes needed

Using this formula, we have: 2,889 guests / 64 servings per X-large sheet cake = 45.14 X-large sheet cakes. Since we can't have a fraction of a cake, we round up to 46 X-large sheet cakes. Therefore, the school should order 46 X-large sheet cakes for the high school graduation.

Learn more about Determining the number of X-large sheet cakes needed for a given number of guests here:

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Answers

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Answers

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