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3 years ago

A television is measured by its diagonal. If the height of a 70 inch television is 42 inches, what is the width?

Mathematics

1 answer:

GenaCL600 [577]3 years ago

7 0

Use the Pythagorean theorem:

70^2 = 42^2 + width^2

4900 = 1764 + width ^2

Subtract 1764 from both sides

3136 = width^2

Take the square root of both sides

Width = 56 inches

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A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would h

Cerrena [4.2K]

Answer:

Step-by-step explanation:

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3 years ago

Three-fourths of a number increased by one-half is equal to fourteen. Find the number.

ivanzaharov [21]

Three-fourths of a number increased by one-half

= 3/4 x + 1/2

So three-fourths of a number increased by one-half is equal to fourteen:

3/4 x + 1/2 = 14

Multiply both sides by 4

3x + 2 = 56

Subtract 2 from both sides

3x = 54

Divide both sides by 3

x = 18

Answer: The number is 18

8 0

4 years ago

Read 2 more answers

Given α and β are Supplementary. Show the necessary steps.

user100 [1]

Answer:

$\alpha = 108\degree, \: \beta = 72\degree$

Step-by-step explanation:

α and β are Supplementary (given)

$\therefore \alpha + \beta = 180\degree.... (1)$

It is given that:

$\alpha= \frac{3}{2} \beta$

Plugging the value of α in equation (1), we find:

$\frac{3}{2} \beta + \beta = 180\degree$

$\therefore \frac{3+2}{2} \beta = 180\degree$

$\therefore \frac{5}{2} \beta = 180\degree$

$\therefore \beta = 180\degree\times \frac{2}{5}$

$\therefore \beta = 72\degree$

$\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree$

So,

$\alpha = 108\degree, \: \beta = 72\degree$

7 0

3 years ago

An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 sm

Bingel [31]

$Let \: x, y \: (x,y>0) \: be \: the \: number \: of \: fruits \: the \: small \: and \: large \: baskets \: hold \: respectively \\ We \: have \: a \: system \: of \: equations:2x + 4y = 60 \: \wedge \: 2x + 10y = 132 \\ \Leftrightarrow x = 6 \: \wedge \: y = 12 \\ \Rightarrow The \: small \: baskets \: each \: include \: 6 \: fruits \\ \Rightarrow The \: large \: baskets \: each \: include \: 12 \: fruits$