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2 years ago

12

What is the volume of the storage bin?

1 answer:

Harman [31]2 years ago

5 0

Answer:

Step-by-step explanation:

volume = 180 * 9

volume = 1620 in³

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I need some help with this rational equation. It's supposed to = -1, but for some strange reason I keep getting x^2 +2x = -1.

Rasek [7]

This one is so easy that your brain refuses to accept it.
It's looking for a harder answer, but can't find it !

You're totally correct, as far you went.    x² + 2x does = -1

Now add ' 1 ' to each side:   x² + 2x + 1 = 0

Can you factor that quadratic ?
Can you mash it through the quadratic formula ?

Actually, it's the simplest possible perfect square.

   x² + 2x + 1 = (x + 1)²

So the solutions of   x² + 2x + 1 = 0 are both   x = -1 .

Don't say anything.
I know it's embarrassing.

7 0

2 years ago

For what values of x and y must the figure have in order to be a parallelogram

erma4kov [3.2K]

<u>Given</u>:

Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.

We need to determine the values of x and y.

<u>Values of x and y:</u>

We know the property that the opposite sides of a parallelogram are congruent.

Thus, we have;

$5x=2y-5$ ------- (1)

$3x+1=y$ ------- (2)

The value of x and y can be determined using the substitution method.

Substituting equation (2) in equation (1), we have;

$5x=2(3x+1)-5$

$5x=6x+2-5$

$5x=6x-3$

$-x=-3$

$x=3$

Thus, the value of x is 3.

Substituting x = 3 in equation (2), we have;

$3(3)+1=y$

$9+1=y$

$10=y$

Thus, the value of y is 10.

5 0

2 years ago

If a and b are two angles in standard position in Quadrant I, find cos(a-b) for the given function values. sin a=3/5and cos b=12

goldfiish [28.3K]

The identity in question is

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

so that

cos(a - b) = 12/37 cos(a) + 3/5 sin(b)

Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,

cos²(x) + sin²(x) = 1,

that

cos(a) = √(1 - sin²(a)) = 4/5

and

sin(b) = √(1 - cos²(b)) = 35/37

So,

cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185

7 0

2 years ago

What is the total of roses white and red roses if we have five red roses and 2 white roses please help me

Lilit [14]

Both the red and white roses would make up seven roses

5 0

2 years ago

In 1 1/2 hours, Sebastian can walk 4 1/2 miles.<br> What is his average speed in hours per mile?

jeka94

Answer:

The average speed of Sebastian is 3 miles per hour.

<u>Solution:</u>

Given, In $1 \frac{1}{2}$ hours, Sebastian can walk 4 1/2 miles.

we have to find What is his average speed in hours per mile

We know that, average speed $=\frac{\text {total distance walked}}{\text {total time taken}}$

In our problem, total distance travelled = $4 \frac{1}{2} \text { miles }=\frac{4 \times 2+1}{2} \text { miles }=\frac{9}{2} \text { miles. }$

$\text { And, total time taken }=1 \frac{1}{2} \text { hours }=\frac{1 \times 2+1}{2} \text { hours }=\frac{3}{2} \text { miles. }$

Now, average speed of Sebastian $=\frac{\frac{9}{2}}{\frac{3}{2}}=\frac{9}{2} \times \frac{2}{3}=\frac{9}{3}=3$

Hence, the average speed of Sebastian is 3 miles per hour.

4 0

2 years ago