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dangina [55]
3 years ago
11

Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bott

om of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
WHICH TRIANGLE A,C, OR D
Mathematics
2 answers:
aalyn [17]3 years ago
6 0
The answer is the first diagram (light blue color in the choices) where 2.9m is the hypotenuse or the longest length. The height of the altitude is 1.5 meter and it is perpendicular from the ground level. The angle opposite to 2.9m is 90°.
masha68 [24]3 years ago
4 0

Answer:

Option A is correct.

triangle with light blue color

Step-by-step explanation:

As per the statement:

Ilya builds a slide that is 2.9 meters long.

⇒\text{Length of ladder} = 2.9 m

It is also given that 1.5 meters above the ground.

Since, this height is perpendicular from the ground level.

⇒\text{Vertical height from the ground level} = 1.5 m

As, he wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide.

Therefore, the diagram in option A (with light blue color) represents the given situation as shown below in the attachment.

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Will mark brainliest. Step-by-step please. Thank you very much.
Naily [24]

Answer:

133°

Step-by-step explanation:

angles on a straight line = 180°

180 - 144 = 36°

angles in a triangle = 180°

36 + 31 = 67

180 - 67 = 113

answer = 113°

3 0
3 years ago
A clock has a diameter of 16 inches. how far does the hour hand travel during 5 hours? use 3.14 for pi.
valentina_108 [34]

Distance hour hand travel in 5 hours is 20.94 inches.

<h3>What is a diameter?</h3>
  • A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry.
  • It is also known as the circle's longest chord.
  • Both definitions apply to the diameter of a sphere.

To find the distance hour hand travel in 5 hours:

  • Let's say the hour hand completed one full round around the clock.
  • If this was the case, it would have been 2\pi×8 inches around.
  • We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2\pi×8×( 5/12 ).
  • Distance hour hand travel is 20.94 inches.

Therefore, the distance hour hand travel in 5 hours is 20.94 inches.

Know more diameter here:

brainly.com/question/390660

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8 0
2 years ago
Click on the correct answer.
Margaret [11]

Answer:

A

Step-by-step explanation:

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6 0
3 years ago
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
Charra [1.4K]

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
2 years ago
£440 is divided between David, Mark &amp; Henry so that David gets twice as much as Mark, and Mark gets three times as much as H
Lesechka [4]

Mark received £ 132

<em><u>Solution:</u></em>

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

<em><u>David gets twice as much as Mark</u></em>

d = 2m ----- eqn 2

<em><u>Mark gets three times as much as Henry</u></em>

m = 3h

h = \frac{m}{3}  ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132

Thus Mark received £ 132

8 0
3 years ago
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