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bazaltina [42]
3 years ago
8

The perimeter of a triangle is 48 centimeters. If two sides are equally long and the third side is 6 centimeters longer than the

​ others, find the lengths of the three sides.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer: The three sides are 14, 14, 20

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

x = length of the two equal sides

x+6 = length of the third longer side

add up the three lengths x, x, x+6. Set it equal to the perimeter 48. Solve for x

x+x+x+6 = 48

3x+6 = 48

3x+6-6 = 48-6 ... subtract 6 from both sides

3x = 42

3x/3 = 42/3 ... divide both sides by 3

x = 14

If x = 14, then x+6 = 14+6 = 20

The three sides are 14, 14, 20

We can check this by adding up the three sides 14+14+20 = 28+20 = 48 and we get the right perimeter.

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In 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 in
sveta [45]

Answer: year 2194



Explanation:



1) Model the jump of the women:


i) initial jump = 70.0 in


ii) increase rate = 0.48% per year


iii) equation: h = 70.0(1 +0.0048)ⁿ


2) Model the jump of the men:


i) initial jump 86.5 inches.


ii) increase rate, 0.4%.


iii) equation: h = 86.5 (1 + 0.004)ⁿ


3) Equal the two equations (h = h) to find when the jumps will be equal:


i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ


ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ


ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0


iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0


iv) n log (1.0048 / 1.0040) = log ( 86.5/70)


v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266


3) year = 1928 + 266 = 2194


That is in the year 2194

8 0
2 years ago
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Which choice shows a correct way to find 6 × 3 × 5?
Jet001 [13]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
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2) A gym charges a $30 membership fee and $10 per month. Write an
kari74 [83]

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

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$160 = 10m + 30

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130/10 = m

m = 13 months

Hope that helps

5 0
2 years ago
the width of the morros in shannon's bathroom is 4/9 its length. The area of the mirror is 576 square inches. What are the dimen
fredd [130]
W=4L/9

A=LW, using W found above gives us

A=L(4L/9)

A=4L^2/9  and we were told that A=576 so

4L^2/9=576  multiply both sides by 9

4L^2=5184  divide both sides by 4

L^2=1296 take the square root of both sides

L=36, and we know that W=4L/9 so

W=4(36/9)=16

So the dimensions are: width=16in and length=36in
5 0
3 years ago
A grocery store manager uses 1/2 crate of apples for every 3/4 crate of oranges in a fruit display. How many crates of will she
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15/4

3 3/4


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