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Alex Ar [27]
2 years ago
8

A rectangle has an area of 31.2 square millimeters and a heigt of 5.2 millimeters. What is the length of the base ​

Mathematics
1 answer:
Schach [20]2 years ago
6 0

Answer:

6 millimeters

Step-by-step explanation:

The formula for a rectangle is length * height = area.

Since we know the area and height, we can plug it in to the formula:

length * 5.2 = 31.2

So the length is just dividing 5.2 in 31.2 which gives 6 millimeters.  

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Answer this and get 50 points.​
stealth61 [152]

Answer:

I drew more points as uploaded picture.

We have, arc BD + 210 + 90 = 360 deg

(sum of all arcs on circle)

=> arc BD = 360 - 210 - 90 = 60 deg

Here we have angle CBD = (1/2) x arc CD = (1/2) x 90 = 45 deg

(property of angle on circle)

=> angle ABD = angle ABC - angle CBD = 180 - CBD = 180 - 45 = 135 deg

( A, B, C lie on same line => ABC = 180 deg)

Otherwise, we have:

angle BDA = (1/2) x arc BD = (1/2) x 60 = 30 deg

We have: x + angle BDA + angle ABD = 180 deg

(sum of all angles in a triangle)

=> x = 180 - angle BDA - angle ABD

=> x = 180 -135 - 30

=> x = 15 deg

Hope this helps!

:)

7 0
3 years ago
Read 2 more answers
The sun casts a shadow from a flag pole. The height of the flag pole is three time the lenght of its shadow. The distance betwee
Alex73 [517]

Answer:

The height of the flag pole will be = 18.96 ft.

Step-by-step explanation:

See the attached diagram.

AB is the flag pole and the length of the shadow is AC.

Now, Δ ABC is a right triangle and has AB = 3x ft., BC = 20 ft. and AC = x ft.

So, applying Pythagoras theorem ,

AB² + AC² = BC²

⇒ (3x)² + x² = 20²

⇒ 10x² = 400

⇒ x² = 40

⇒ x = 6.32 ft. (Approx.)

So, the height of the flag pole will be = 3x = 3 × 6.32 = 18.96 ft. (Answer)

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3 years ago
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Answer: ...

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1 year ago
The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 105 ' and a standard deviation
Ksenya-84 [330]

The sample mean is μ=105, and sample standard deviation is σₓ=\frac{σ}{\sqrt{n}}  =\frac{10}{\sqrt{25}}  =2.

The Z-score is Z=\frac{ 107.8-105}{2}=1.4.

Refer to standard normal distribution table.

The required probability is

P(X>107.8)=P(Z>1.4)=1-P(Z

7 0
3 years ago
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