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sladkih [1.3K]
4 years ago
8

The hypotenuse of a right triangle is 89 meters long. One leg of the triangle is 39 meters long. What is the length of the other

leg of the right triangle?
Mathematics
1 answer:
Hitman42 [59]4 years ago
4 0
A²+b²=c²
39²+b²=89²
1521+b²=7921
subtract 1521 from both sides
b²=6400
so then you square both sides
√6400
80
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The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm?
77julia77 [94]

A scalene triangle is a triangle that has 3 sides that are all different lengths.

Let these letters represent the problem:

a = 8.7

b = side 2

c = side 3

P = 54.6

To find the perimeter, we just need to add all the sides [ P = a + b + c ]

So, put what we have in the formula above.

54.6 = 8.7 + b + c

Best of Luck!

7 0
3 years ago
Read 2 more answers
Morgan borrowed $0.35 from her mother every time she went to the gas station to buy some chips. Over the summer Morgan went to t
GarryVolchara [31]

Answer:

The money borrowed by Morgan is $ 3.15.

Step-by-step explanation:

Money borrowed by Morgan to buy chips = $ 0.35

Number of times goes to the station = 9

Money borrowed by Morgan in 9 time visit to station

= 9 x $ 0.35

=$ 3.15

5 0
3 years ago
the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to li
Burka [1]

Answer: The equation for line b is y = -\frac{3}{4}x  + 5

The equation for line t is y= \frac{4}{3} x+5

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so  5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"  

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

3 0
3 years ago
Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened
Aleksandr [31]

Answer:

92087,14873

Step-by-step explanation:

Given that Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened  in 1990, the population of Marymount increased by about 20% each year for the first ten years and then increased by  5% each year after that

Let P0 be the population in 1990

Then we have in 2000 the population is

P(2000) = P_0(1.2)^{10}

with this initial population for next growth we have in 2010 the population would be

P(1.05)^{10}, where P = population is 2000

a) Given that P(1.05)^{10) = 150000\\P = 150000(1.05)^{-10} =92.086.99\\=92087

b) we use the exponential equation and solve for initial population in 2000.

c) we have

P_0(1.2)^{10} =92087\\P_0 = 92087((1.2)^{-10})\\=14872.56\\=14873

6 0
3 years ago
There is a line whose slope is 5 and whose y-intercept is 9 What is its equation in slope-intercept form
Wittaler [7]
Y=5x+9 is the answer.
5 0
3 years ago
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