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marissa [1.9K]
4 years ago
13

A triangle with side lengths of 5, 12, and

Mathematics
1 answer:
nikklg [1K]4 years ago
8 0

Answer:

51.2

Step-by-step explanation:

\frac{15}{5} = \frac{25}{x}

15x = 120

x = 8

so now we know that 2 sides of the bigger triangle are 24 and 8

now

\frac{8}{x} = \frac{5}{12}

96 = 5x

x = 19.2

19.2 + 24 + 8

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Arthur is putting a tile floor in this room. The tiles are 1 foot on each side. Half of the tiles will be dark brown tiles that
TEA [102]
Hey. Let me help you on this one.

As the question says, the area of the floor surface is 17 feet by 9 feet. Each floor tile is 1 foot in length, and 1 foot in width. We know that the area of one tile is 1^{2}ft squared if we substitute numbers into the square area formula and solve it.

S=a*b
S=1*1
S=1

We understand that each tile costs a different amount of money, so that's why we need to set up an equation we can later solve. For this; however, we will need to know the complete area of the floor since this is going to be our total.

In order for us to solve for the total area, we have to use the same area formula we used a step ago.

Length of the floor is 17 feet, while the width is 8 feet. Let's multiply them together.

S=a*b
S=17*8
S=136

Awesome! We know the complete area of the floor as the whole, which is 136 feet squared, and area of the individual tile is 1 foot squared.

If we divide 136 by 1, we will determine the amount of square tiles within the floor. 136 divided by 1 is 136, meaning that there are 136 tiles in the floor.

Now, let's form the solution that will show both prices and amounts of the tiles. Our first initial step is to find out how much one half of 136 is. We can do it by finding 50% of 136.

0.5*136=68

One half of 136 is 68, meaning that 68 tiles will cost 58 cents each, and that other 68 tiles will cost 49 cents each. Let's form the solution which we can then solve.

(68*58)+(68*49)
3944+3332=7276

Answer: 7276 cents, or $72.76 is the price of the floor.


7 0
3 years ago
Read 2 more answers
Perimeter with radius 14
nevsk [136]
360^o-150^o=210^o\\\\\dfrac{210^o}{360^o}=\dfrac{7}{12}

P_{LQM}=\dfrac{7}{12}\cdot2\pi\cdot14=\dfrac{7}{3}\pi\cdot7=\dfrac{49\pi}{3}\ cm

P_{QRP}=\dfrac{1}{2}\cdot14\pi=7\pi\ cm

P_F=\dfrac{49\pi}{3}+7\pi+3\cdot14\approx\dfrac{49}{3}\cdot\dfrac{22}{7}+7\cdot\dfrac{22}{7}+42=166\dfrac{2}{3}\ cm^2

6 0
3 years ago
An arrow is launched upward with a velocity of
anyanavicka [17]

Answer:

Step-by-step explanation:

The velocity of the arrow when it was launched upwards is 320 feet per second. The height of the platform from which it was launched is 50 ft

This means that the arrow is already 50 feets from the ground before moving upwards.

The height that it attains on moving from 50 feets will be determined by Newton's formula of motion.

v^2 = u^2 + 2as

u = initial velocity = 320 feet per second.

1 feet per second = 0.305 meters per second

320 feet per second = 320× 0.305

= 97.6 feets per second

a = acceleration due to gravity =

- 32.17405 feet/second^2 because the arrow is moving upwards)

s =maximum height of the arrow

v = final velocity = 0 feet/second

Substituting into the equation,

0^2 = 97.6^2 + 2×- 32.17405 × s

0 = 9525.76 - 64.3481s

64.3481s = 9525.76

s = 9525.76/64.3481 = 148.03 feets

Total height from the ground would be

148.03 + 50 = 198.03 feets

5 0
3 years ago
Wayne bought blueberries. He uses 3/8 of the blueberries to make blueberry bread, 1/6 of the blueberries to make pancakes, and 5
yKpoI14uk [10]

Answer:

Wayne bought 72 blueberries.

Step-by-step explanation:

To combine the fractions, convert all of the fractions to a denominator of 24.

3/8 * 3/3 = 9/24

1/6 * 4/4 = 4/24

5/12 * 2/2 = 10/24

Now add together the fractions

9/24 + 4/24 + 10/24 = 23/24

He used 23/24 of his blueberries, or 69 of them.

To find the total amount of blueberries, divide 69 by 23, then multiply that number b 24.

69 / 23 = 3

3 * 24 = 72

Wayne bought 72 blueberries.

6 0
4 years ago
Read 2 more answers
Another geometry file upload
bagirrra123 [75]
Cross multiplication 13x -13 = 8x+12 
combining like terms 13x -8x =12 +13
5x= 25     x= 5

x=5
8 0
3 years ago
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