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3 years ago

33 1/3% of what number is 21

Mathematics

2 answers:

frutty [35]3 years ago

6 0

It would be 63, because 33 1/3% is the equivalent of 1/3,
21x3 = 63

Nina [5.8K]3 years ago

3 0

Recall that 33 1/3% is equal to 1/3.

x/3 = 21

Multiply both sides by 3.

x = 63

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A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?

nirvana33 [79]

Answer:

$Area = 26478cm^2$

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

$Area = \frac{\pi r^2}{2}$

Where

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So:

$A_1 = \frac{3.14 * 60^2}{2}$

$A_1 = \frac{11304}{2}$

$A_1 = 5652cm^2$

Next, the area of the complete trapezium

$Area= \frac{1}{2}(a + b) * h$

Where

$a = 300$

$b = 2 * r = 2 * 60 = 120$

$h = 153$

So:

$A_2 = \frac{1}{2} * (300 + 120) * 153$

$A_2 = \frac{1}{2} * 420 * 153$

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The area of the desk is:

$Area = A_2 - A_1$

$Area = 32130cm^2 - 5652cm^2$

$Area = 26478cm^2$

8 0

3 years ago

If restaurant served 517 meals at lunch. It then served 257 meals at dinner. How many meals did it serve in all

SVEN [57.7K]

Answer:

517 + 257 = 774

Step-by-step explanation:

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3 years ago

Select the procedure that can be used to show the converse of the

Lelu [443]

Answer:

Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.

Step-by-step explanation:

Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.

Hypotenuse = h

Altitude = l

Base = b

l²+b²=h²

Here 6²=36

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12²=144

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From the above it is clear that

81+144=225

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3 years ago

If two angles in a triangle measure 35 degrees and 47 degrees, what is the value of the third angle?

Furkat [3]

Answer:

278

Step-by-step explanation:360-82=278

8 0

2 years ago

Read 2 more answers

Wendy keeps her hamster, Fluffy, in a cage shaped like a rectangular prism that is 20 inches long, 14 inches wide, and has a vol

Alex17521 [72]

Speedy cage is 2 inches taller than fluffy cage.

<h3>How to find the volume of a rectangular prism?</h3>

The volume of rectangular prism = lwh

where

l =length
h = height
w = weight

Therefore,

height of fluffy cage can be calculate as follows:

4340 = 20 × 14 × h

4340 = 280h

h = 4340 / 280

h = 15.5 inches

height of Kenneth cage can be calculate as follows:

5250 = 20 × 15 × h

5250 = 300h

h = 5250 / 300

h = 17.5 inches

height difference = 17.5 - 15.5 = 2.0 inches

Hence, speedy cage is 2 inches taller than fluffy cage.

learn more on volume here: brainly.com/question/23997886

#SPJ1

5 0

2 years ago