Find the height of the rectangular prism given the volume, length, and width.

1 answer:

6 0

The answer is 70cm for the height because you would multiply 50cm x 35cm and you would get 1750. Then you would divide that by 122,500 and you will get the height

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Linear function for f(-11)=5, slope of f= -2/3

wolverine [178]

Answer:

f(x) = -2/3(x +11) +5

Step-by-step explanation:

The point-slope form of the equation of a line will give you the desired linear function:

y = m(x -h) +k . . . . . for slope m through point (h, k)

You are give point (x, f(x)) = (-11, 5) = (h, k), and you are given slope m = -2/3. Putting these values into the function form gives ...

f(x) = -2/3(x +11) +5

7 0

2 years ago

What must be done to the expression x•6.78 to make it equal x?

Mnenie [13.5K]

The answer should be D, divide by 6.78.

8 0

2 years ago

Maura is 5 years younger than her sister Cara. Seven years ago, Maura was half as old as her sister. How old is Maura now?

masha68 [24]

Let's call Maura's age now M and Cara's age now C.

We know Maura is five years younger than Cara. In symbols that is, M - 5 = C

We also know that 7 years ago Maura's age was half of Cara's. Maura's age 7 years ago was M-7 and Cara's age seven years ago was C-7. Since Maura's age (7 years ago) was half of Cara's we can write in symbols: $M-7= \frac{1}{2}(C-7)$

Let's take that last equation and substitute C - 5 for M (this is because according to our first equation these are equal). When we do this we get an equation with only C as the variable and solve for C as follows:

$M-7= \frac{1}{2}(C-7)$
$C-5-7= \frac{1}{2}(C-7)$
$C-12= \frac{1}{2}C-( \frac{1}{2})(7)$
$C-12= .5C-3.5$
$.5C-12= -3.5$
$.5C= 8.5$
$C= 17$

Cara is 17. Since Maura is 5 years younger she is 12.

As a check, seven years ago Cara was 10 and Maura was 5. It is the case that Maura was half Cara's age seven years ago.

4 0

3 years ago

Aliun [14]

The answer:

according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other,

in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
△JKL ~ △JKM
△JKM ~ △JKM
△JMK ~ △KML

5 0

3 years ago

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How can i know if the triangles are congruent ?

MrRissso [65]

If you use the SAS theorem, you can prove the triangles are congruent. Due to vertical angles, we have one angle, and we know one side is congruent. In order to prove these triangles are simillar, we need another side

7 0

2 years ago

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