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nasty-shy [4]
2 years ago
11

The volume of a rectangular prism is 48 cubic meters. It is 6 meters long and 2 meters wide.

Mathematics
1 answer:
horsena [70]2 years ago
8 0

Answer:

12m^2

Step-by-step explanation:

volume = 48 m^3

l*b*h = 48

12*h = 48

h = 4 m

baSe of prism will be made of l and b

so area is 12 m^2

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If the perimeters of each shape are equal, which equation can be used to find the value of x?
Brums [2.3K]

Answer:

(x+2) + x + (x+4) = 2(1/2) + 2(x+3)

Step-by-step explanation:

They are equal to each other and the rectangle has 2x more perimeter

The triangle would be divided in half from that rectangle.

Sorry If this is confusing I am not very good at explaining things.

4 0
3 years ago
If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
klio [65]
<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

  <em>a</em>² = -27/(4·(-3)) = 9/4

  <em>a</em> = ±√(9/4) = ±3/2

Then the other root is

  -3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs

We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...

  -(a + (-3a)) = b/4

  2a = b/4

  b = 8a = 8·(±3/2)

  b = ±12

_____

<em>Check</em>

For b = 12, the equation factors as ...

  4x² +12x -27 = (2x -3)(2x +9) = 0

  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

4 0
3 years ago
Y is directly proportional ( x+2)² <br> when x = 8 y= 250 <br> find y when x = 4​
sladkih [1.3K]

Answer:

y=90 when x=4

Step-by-step explanation:

We are given that

y\propto (x+2)^2

When x=8 and y=250

We have to find the value of y when x=4

y=k(x+2)^2

Where k= Proportionality constant

Substitute the values

250=k(8+2)^2

250=100k

k=\frac{250}{100}

k=5/2

Now, substitute x=4 and k=5/2

Then, we get

y=\frac{5}{2}(4+2)^2

y=\frac{5}{2}\times 36

y=90

8 0
3 years ago
Can you help me with this question<br> Increase 40 by 50%
professor190 [17]

Answer:

60

Step-by-step explanation:

first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer

5 0
2 years ago
Read 2 more answers
If the following system of equations was written as a matrix equation in the form AX=C , and matrix A was expressed in the form
cluponka [151]
Its -5

because a=4, b=5, c=2, d=-6
8 0
3 years ago
Read 2 more answers
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