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Ray Of Light [21]
3 years ago
15

One side of triangle is 4 4 times the shortest side. The third side is 23 23 feet more than the shortest side. The perimeter is

77 77 . Find all three sides.
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

9, 32 and 36

Step-by-step explanation:

The perimeter of a triangle is the sum of all the sides.  Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:

one side: '4 times the shortest side' = 4s

shortest side: 's'

third side: '23 more than the shortest side' = s + 23

perimeter  = 77

Equation:  4s + s + (s + 23) = 77

Combine like terms:  6s + 23 = 77

Subtract 23 from both sides:  6s + 23 - 23 = 77 - 23 or 6s = 54

Divide by 6:  6s/6 = 54/6 or s = 9

one side: 4s = 4(9) = 36

shortest side: s = 9

third side: s + 23 = 9 + 23 = 32

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Which equation in rectangular form describes the parametric equations x=5-3cost and y=4+2sint?
Sidana [21]

Answer:

D. (-x+5)^2/9+(y-4)^2/4=1    (I assume there was a mistype)

Step-by-step explanation:

The first step is isolating the sine and cosine functions.

x=5-3cos(t)

x + 3cos(t) = 5

3cos(t) = 5 - x

cos(t) = (5 - x)/3

y=4+2sin(t)

y - 4 = 2sin(t)

(y - 4)/2 = sin(t)

Then, square at both sides of the equal sign

cos²(t) = (5 - x)²/3² = (5 - x)²/9

sin²(t) = (y - 4)²/2² = (y - 4)²/4

Recall the trigonometric identity and replace.

cos²(t) + sin²(t) = 1

(5 - x)²/9 + (y - 4)²/4 = 1

8 0
3 years ago
Your friend rolls a number cube 500 times, how many times do you think an odd number will be rolled?
Mila [183]
250, and this is because of probability. Since half of the numbers are odd numbers, and half are even. It would be hard to determine, your probability would be 1/2. 1/2 of 500 is going to be 250.
3 0
3 years ago
Y = -2x + 13 when x = 6
elena-14-01-66 [18.8K]

Answer: 1

Work: After plugging in the 6 in the X, the new equation is -2(6) + 13. After doing the multiplication of -2 and 6, you get -12. Add -12 + 13, and the answer (Or y) equals 1.

<em>I hope this helps, and Happy Holidays! :)</em>

6 0
3 years ago
Read 2 more answers
Anyone wanna help with this iready question?
Illusion [34]

Answer:

3 ticket = 21 $

5 ticket = 35$

so 1 ticket = 7$

9 ticket = 63$

2$ discount

total amount = 61$

Mark my answer as brainlist answer.

7 0
3 years ago
Lara has three cats: Socks, Princess, and Luna. The ratio of Sock's weight to Princess's weight is 4:5. The ratio of Princess's
romanna [79]
A = Sock's weight
b = Princess' weight
c = Luna's weight

a : b = 4 : 5
b : c = 6 : 7

at this point, we have to change the 2 ratios (a : b and b : c) into one ratio (a : b : c)
to do that, we have to change the ratio number so the number b in both ratio is the same

a : b = 4 : 5 = 24 : 30
b : c = 6 : 7 = 30 : 35
From that we can conclude that
a : b : c = 24 : 30 : 35

Since we're looking for the ratio of Sock's weight to Luna's weight, it will be
a : c = 24 : 35
6 0
3 years ago
Read 2 more answers
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