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3 years ago

Please help thank you! The second question has 2 answers!

Mathematics

1 answer:

Akimi4 [234]3 years ago

4 0

1 is C since the points are not equidistant from the edges of the angle

2: is A and E

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The perimeter of a rectangle is 24 m. The length is 30 m less than five times the width. Find the dimensions of the rectangle. L

Len [333]

Answer:

<h2>width = 7 m</h2><h2>length = 5 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

6 0

3 years ago

A bex contains 5 plain pencis and 5 pens. A second box contains 5 color pencils and 3 crayons. One item from each box is chosen

timama [110]

Answer:

x=16 pens

Step-by-step explanation:

7 0

3 years ago

You have just bought a new television and it has an aspect ratio of 16:9. The screen on the television is 65 inches. What is the

dem82 [27]

Answer:

Width of T.V. is 21.94 inches Height is 39 inches and area is 855.66 square inch.

Step-by-step explanation:

When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.

In this question aspect ratio of television is given as 16:9

This can be written as $\frac{W}{H}=\frac{16}{9}$ or $W=\frac{16}{9} H$

Screen of the T.V. is 65 inch which is the diagonal length of the screen.

We know from pythagoras theorem in a right angle triangle

$(diagonal)^{2}=(base)^2+(height)^2$

$(65)^2=(Base)^2+(height)^2$

$(65)^2= W^2+H^2 = (\frac{16}{9}H)^2+H^2$

$(65)= \sqrt{\frac{16}{9}H^2+H^2}\\ 65=H\sqrt{\frac{16}{9}+1}\\ 65=H\sqrt{\frac{25}{9}}\\ 65=\frac{5}{3}H\\ H=39 inches$

Now height of the T.V.will be

$\frac{W}{H}=\frac{16}{9} \\\\\frac{H}{W}=\frac{9}{16}\\ H=\frac{9}{16}W = (\frac{9}{16})39= 21.94 Inches$

now area of the T.V.=W×H=39×21.94=855.66 square inch

8 0

3 years ago

Read 2 more answers

How do you write 31% as a fraction in simplest from

Illusion [34]

The fraction is 31/100, the decimal is 0.31 which means your simplest form is 31/100

4 0

3 years ago

Read 2 more answers

In a direct variation, the ratio of y -values to x -values is equal to a constant.

liberstina [14]

Answer:

True

Step-by-step explanation:

The equation of direct variation is

y = kx ← k is the constant of variation

To find k divide both sides by x

$\frac{y}{x}$ = k

That is the constant is the ratio of y- values to x- values

3 0

2 years ago