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lilavasa [31]
3 years ago
9

Find the missing length of the triangle. If necessary, round your answer to the nearest tenth

Mathematics
2 answers:
lisov135 [29]3 years ago
8 0

Answer:

x = 30

Step-by-step explanation:

a^{2} = c^{2} - b^{2}

a^{2} = 50^{2} - 40^{2}

a^{2} = 2500 - 1600

a^{2} = 900

\sqrt{a^{2}} = \sqrt{900}

a = 30

Amiraneli [1.4K]3 years ago
4 0

Answer:

30

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the missing side

a^2 +b^2 = c^2  where a and b are the sides and c is the hypotenuse

x^2 + 40^2 = 50^2

x^2 +1600 = 2500

x^2 = 2500-1600

x^2 = 900

Take the square root of each side

sqrt(x^2) = sqrt(900)

x = 30

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Please help like nobody has helped me on my other questions and i dont wanna fail this test
Elena-2011 [213]

Answer: d=70; f=45; e=65

Step-by-step explanation:

NUMBER 1 WAY

110+d=180

      d=70

135+f=180

       f=45

d+f+e=180

70+45+e=180

            e=65

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

NUMBER 2 WAY

concept to know: exterior angle theorem

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

System of equation

d+e=135

f+e=110

d+e+f=180

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

d=135-e

f=110-e

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

d+e+f=180

(135-e)+e+(110-e)=180

135-e+e+110-e=180

245-e=180

e=65

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

d=70

e=65

f=45

3 0
3 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)

m=\frac{17.5-24.5}{23-9}

m=-0.5

\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b

y=\left(-0.5\right)x+b

\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5

24.5=\left(-0.5\right)\cdot \:9+b

24.5=\left(-0.5\right)\cdot \:9+b

-4.5+b=24.5

b=29

\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29

y=-0.5x+29

Now plug in x=21, we get

y=-0.5*21+29=18.5

Thus the height of the candle after 21 hours is 18.5 centimeters.

7 0
3 years ago
If y = 124 and x = 12, find y when x = -24.
tatyana61 [14]

Answer:

y = -248

Step-by-step explanation:

Hi there!

Set up a proportion:

\displaystyle\frac{124}{12} =\frac{y}{-24}

Cross-multiply:

12y=(-24)(124)\\12y=-2976\\y=-248

I hope this helps!

7 0
2 years ago
trevor bought 8 gallons of paint to paint his house. He used allbut 1 quart. How many quarts of paint did tevoer use?
seropon [69]
There are 4 quarts in a gallon. So 8 gallons is the same as 32 quarts. If he used all but 1 quart, that means he used 31 quarts. Answer: 31 quarts Hoped that helped
6 0
3 years ago
Help giving 13 ptsss
amm1812
0, 12, 36, 108
just plug n (1,2,3,4) into the equation and that’s your answer.
6 0
3 years ago
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