Find the perimeter of the window to the nearest hundredth.

Perform the indicated operation. X^3+43-49x-7x^2 divides by x^2-49

BaLLatris [955]

Answer:

The quotient is: x-7

and remainder is : -300

Step-by-step explanation:

We need to divide $X^3+43-49x-7x^2$ by $x^2-49$

First arrange the term $X^3+43-49x-7x^2$ in terms of ascending order of x.

Arranging we get:

$x^3 - 7x^2 -49x + 43$ \ $x^2-49$

The division steps are shown in figure attached.

The quotient is: x-7

and remainder is : -300

4 0

3 years ago

Which of the following values of x will result in a true statement when

vodka [1.7K]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

-3(x-2)=9 Equation/Question

Step 2

-3(x-2)=9 Remove parenthesis

3x+6=9

Step 3

3x+6=9 Add -6

-3x=3

Step 4

−3x=3 Divide

answer

x=-1

Hope this helps

5 0

2 years ago

The sum of three consecutive interferes is -54. Determine the smallest interger.

OlgaM077 [116]

If x is the smallest integer, then the next consecutive integer is x+1, and the third consecutive integer is x+2
Solve:
$x+x+1+x+2=-54\\3x+3=-54\\3x=-57\\x=-19$
>the smallest integer is -19

5 0

3 years ago

4. What is 0.5% of 75??

erastovalidia [21]

Answer:

0.375

Step-by-step explanation:

8 0

3 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

VladimirAG [237]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

part b) The ratio of the volume of the smaller pyramid to the larger is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ ----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$(\frac{7}{10})^{3}=\frac{x}{y}$

$(\frac{343}{1,000})=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ ----> ratio of the volume of the smaller pyramid to the larger

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute

$\frac{7}{10}^{3}=\frac{x}{12,000}$

$\frac{343}{1,000}=\frac{x}{12,000}$

$x=12,000*343/1,000$

$x=4,116\ m^{3}$

6 0

3 years ago