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ycow [4]
3 years ago
11

Square A is a scaled version of square B. The dimensions of square A are three times the dimensions of square B. The area of squ

are A is 900 sq cm.
Mathematics
1 answer:
denis23 [38]3 years ago
8 0

Answer:

The side of square A is 30 cm.

Step-by-step explanation:

Given that,

The dimensions of square A are three times the dimensions of square B.

The area of square A is 900 sq cm.

Side of square A = 3( side of square B)

Let the side of square B is b. So,

Side of square A, a = 3b

We know that, the area of square is side². So,

(3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm

Side of square A, a = 3(10) = 30 cm

Hence, the side of square A is 30 cm.

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Taya2010 [7]

Answer:

x = 6

Step-by-step explanation:

7x = 42

Divide both sides by 7

x = 6

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2 years ago
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To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level) b = 800 meters fro
Nady [450]

Answer: The height of the mountain is 1,331.4 meters (approximately)

Step-by-step explanation: From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.

The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;

Tan β = opposite/adjacent

Tan 59 = AC/800

Tan 59 x 800 = AC

1.6643 x 800 = AC

1331.44 = AC

AC ≈ 1331.4

Therefore the height of the mountain is approximately 1,331.4 meters

6 0
3 years ago
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9. Complete the reasons in the proof below.
Arada [10]
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.

Feel free to ask further questions!
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3 years ago
Wich hotel costs the least per night ? :)
timofeeve [1]

Answer:

answer b

step - by - step explanation

  1. Hotel A. per night charge is 64 $
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  3. Hotel c. per night charge is 65$
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3 years ago
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Bingel [31]

Answer:

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Step-by-step explanation:

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