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Len [333]
3 years ago
6

One side of a triangle is 2 times the second side. The third side is 5 ft longer than the second side. The perimeter of a triang

le is 81 ft. Find the length of each side.
Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

The length of each side of triangle are 19 ft, 24 ft and 38 ft.

Step-by-step explanation:

Let the length of second side be x.

Now given:

Length of first side is 2 times length of second side.

Length of first side = 2x

Also, Length of third side is 5 ft longer than the second side.

Length of third side = 5+x

Perimeter of triangle = 81 ft.

We need to find the length of each side.

Now perimeter of triangle is sum of all three sides of triangle.

Therefore;

Perimeter of triangle =  Length of first side + length of second side + Length of third side.

2x+x+5+x=81 ft\\4x+5=81ft\\4x= 81 -5 ft\\4x = 76ft\\x= \frac{76}{4} = 19 ft

Length of Second Side = 19 ft.

Length of First side = 2x= 2\times19 = 38 ft

Length of Third side = 5+x= 5+19=24ft

Hence the Length of triangles are 19 ft,38 ft,24 ft.

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nancy spent 7/8 hour working out at the gym she spent 5/7 of that time lifting weights what fraction of an hour did sje spentld
Juli2301 [7.4K]

\frac{9}{56}\\ Fraction of hour was spent by NAncy in lifting weights

Step-by-step explanation:

Time spent at the gym by Nancy = \frac{7}{8}\,hour

Time spent at lifting weights =  \frac{5}{7}\,hour

What fraction of hour she spent in lifting weights?

Solving:

Fraction of hour she spent in lifting weights= Time spend at the gym-Time spent at lifting weights

Fraction of hour she spent in lifting weights=\frac{7}{8}\,hour-\frac{5}{7}\,hour

=\frac{49}{56}-\frac{40}{56}\\=\frac{49-40}{56}\\=\frac{9}{56}\\

So, \frac{9}{56}\\ Fraction of hour was spent by Nancy in lifting weights

Keywords: Word Problems involving Fractions

Learn more about Word Problems involving Fractions at:

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7 0
2 years ago
Half of your baseball card collection got wet and was ruined. You bought 9 cards to replace some that were lost. How many did yo
PtichkaEL [24]

solution:

n/2 + 9 = 20

n/2=20-9

n/2=11

n=22

6 0
3 years ago
Item 5 There are 20 balls in a bag. Ten of the balls are red, 4 are green, and the rest are yellow. Which ratio represents the n
OlgaM077 [116]

Answer:

3:5 <em>the colon is needed to represent the ratio</em>

Step-by-step explanation:

r = 10

g = 4

y = 30 - 14 = 6

y = 6

so ratio of total balls is 10:4:6

and ratio of y:r is

6:10

simply by dividing by 2

3:5

4 0
2 years ago
Please ΔEFU ~ ΔVWU. Find the length of UF.
koban [17]
<h3>Answer: UF = 11</h3>

=======================================================

Explanation:

In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU

So EU/VU is one ratio

The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW

Set the ratios equal to each other and solve for x

EU/VU = UF/UW

7/35 = x/55

7*55 = 35*x ... cross multiply

385 = 35x

35x = 385

x = 385/35 .... divide both sides by 35

x = 11

UF = 11

------------

Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7

That must mean WU = 55 must also be 5 times larger compared to UF = x

So,

WU = 5*UF

55 = 5x

5x = 55

x = 55/5

x = 11

UF = 11

This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.

4 0
3 years ago
A bowl has 3 red beads and 7 blue beads. Two beads are selected at random one at a time. First a red bead is drawn and placed on
IceJOKER [234]

The probability that first a red bead is drawn and next a blue bead is drawn is 7/30,and both events are dependent

<h3>How to determine the probability?</h3>

The distribution of the beads are:

Red = 3

Blue = 7

Total = 10

The probability of selecting the red bead first is:

P(Red) = 3/10

When the red bead is selected, the number of beads becomes 9

So, the probability of selecting a blue bead is

P(Blue) = 7/9

The probability of the event is then calculated using:

P = 3/10 * 7/9

Evaluate

P = 7/30

Hence, the probability of the event is 7/30

Read more about probability at:

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7 0
1 year ago
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