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3 years ago

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Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

Answer:

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Step-by-step explanation:

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Remi is building a triangular wooden shelving unit. The base measures 30 cm and the slant sides measure 18 cm and 24 cm. He want

tresset_1 [31]

Answer:

Remi needs 15 cm of wood to be cut for the shelf.

Step-by-step explanation:

We have drawn the triangle for your reference.

Now Given:

Base measure (BC) =30 cm

Slant height (AB) = 24 cm

Slant height (AC) = 18 cm

Also Given horizontal shelf halfway between the base and the top.

In the triangle drawn horizontal shelf is denoted by DE.

We need to find the measure of DE.

Now we know that horizontal shelf halfway between the base and the top.

Hence by Midpoint theorem which states that;

"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

$DE=\frac{1}{2}\times BC$

Substituting the value we get;

$DE = \frac{1}{2}\times 30 =15\ cm$

Hence Remi needs 15 cm of wood to be cut for the shelf.

5 0

3 years ago

Find the area of a regular hexagon with side length 10 m. Round to the nearest tenth.

Maksim231197 [3]

Answer:

$A=259.8\ m^2$

Step-by-step explanation:

we know that

The area of a regular hexagon is the same that the area of 6 equilateral triangles

The area of 6 equilateral triangles applying the law of sines is equal to

$A=6[\frac{1}{2}b^2sin(60^o)]$

where

b is the length side of the regular hexagon

we have

$b=10\ m$

substitute

$A=6[\frac{1}{2}(10)^2sin(60^o)]$

$A=259.8\ m^2$

4 0

3 years ago

There are 30 students in a class that took a test. The average grade of 10 students was 80. The other 20 students average was 89

Vsevolod [243]

10 students averaged 80, so the sum of their scores was (10 x 80) = 800

20 students averaged 89, so the sum of their scores was (20 x 89) = 1,780

All together, the sum of all 30 scores was (800 + 1,780) = 2,580

30 students totaled 2,580, so their average was (2,580 / 30) = <em> 86</em> .

6 0

3 years ago

What is the value of the expression 10 + (fraction 1 over 2)4 ⋅ 48?

djverab [1.8K]

10 + 1/2*4*48 => 10 + 2*48 => 10 + 96 = 106.

3 0

3 years ago

Read 2 more answers

Michael has a weekly food budget of $62. If he plans to budget the same amount for each of the 7 days of the week, what is the m

garri49 [273]

Answer:

62/7