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Mathematics

1 answer:

deff fn [24]3 years ago

4 0

The slope is m=3 hope this helps!!

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I need help with number 8 please. if you don't mind can you show your work so I know how to do it? Thanks in advance! :)

Trava [24]

You have to divide both sides by 5 because it states"5t" and you should get "t=20"

7 0

3 years ago

Find the value of x. Round your answer to the nearest tenth.

Fantom [35]

Hello again! So we will be using the pythagorean theorem ( $leg^2+leg^2=hypotenuse^2$ ) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.

Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

$17^2+z^2=19^2$

Solve the exponents to get $289+z^2=361$

Subtract 289 on each side to get $z^2=72$

Lastly, square root each side of the equation and your answer should be $z= \sqrt{72}$ (To get more accurate answers, you shouldn't round until the end of the problem)

Nextly, we will need to subtract $\sqrt{72}$ from 31. And since there are 2 triangles, you'll need to multiply $\sqrt{72}$ by 2.

$x=31- \sqrt{72} *2 \\ x=14.0$

In short, x = 14.0

5 0

3 years ago

Antonio is a biologist studying life in a pond. He needs to know how deep the water is. He notices a water lily sticking straigh

quester [9]

For this problem we can represent the situation as a rectangle triangle.
x: depth of water.
40: Base. "Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot"
x + 8: Hypotenuse. "He notices water lily sticking straight up from the water, whose blossom is 8 cm above the water's surface." Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot".
By the Pythagorean theorem we have:
x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
Clearing x:
x ^ 2 + 1600 = x ^ 2 + 16x + 64
x ^ 2 - x ^ 2 = 16x + 64 - 1600
0 = 16x -1536
1536 = 16x
1536/16 = x
x = 96
answer:
1) x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
2) the depth of the water is
x = 96

6 0

3 years ago

Cómo se halla la media aritmética

worty [1.4K]

Answer:La media aritmética es la suma de todos los datos dividida entre el número total de datos :)

5 0

3 years ago

A rectangular box with a volume of 784 ft3 is to be constructed with a square base and top. the cost per square foot for the bot

iVinArrow [24]

I think it is 15 so I don’t know that if it right

8 0

3 years ago