Ask question

Ask question

All categories

2 years ago

7

13. A warehouse is distributing 1,080 blocks into 24 different packages for shipment. If each of the packages will hold the same

number of blocks, how many blocks are in a single package?

1 answer:

alina1380 [7]2 years ago

8 0

Answer:

45

Step-by-step explanation:

All you have to do is 1080/24 that gives you 45.

You might be interested in

An isosceles right triangle has a hypotenuse of length e. Select all that are true for the triangle.

____ [38]

<h3>2 Answers: </h3>

Choice C) Leg length = $\frac{e\sqrt{2}}{2}$
Choice E) Area = $\frac{e^2}{4}$

Note: if the formulas don't load properly, then you may need to refresh the page.

======================================================

Explanation:

For any 45-45-90 right triangle, the hypotenuse H is always sqrt(2) times the leg L

In terms of symbols, we can say

$H = L*\sqrt{2}$

We're told the hypotenuse is e, so H = e

Let's solve for L in terms of e

$H = L*\sqrt{2}\\\\e = L*\sqrt{2}\\\\L*\sqrt{2} = e\\\\L = \frac{e}{\sqrt{2}}\\\\$

Now let's multiply top and bottom by $\sqrt{2}$ to rationalize the denominator

$L = \frac{e}{\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2*2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{4}}\\\\L = \frac{e\sqrt{2}}{2}\\\\$

If the hypotenuse is e, then the length of each leg is $\frac{e\sqrt{2}}{2}$

This matches with choice C, which is one of the two answers. This allows us to rule out choices A and B, as those expressions are not equivalent to the expression for choice C.

----------------

The two legs of any right triangle form the base and height. The order doesn't matter. The base is always perpendicular to the height. In a right triangle, the two legs are always perpendicular.

The base and height are $\frac{e\sqrt{2}}{2}$ each.

The area of the triangle is...

$\text{Area} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{Area} = \frac{1}{2}*\frac{e\sqrt{2}}{2}*\frac{e\sqrt{2}}{2}\\\\\text{Area} = \frac{e\sqrt{2}*e\sqrt{2}}{2*2*2}\\\\\text{Area} = \frac{e*e\sqrt{2*2}}{2*2*2}\\\\\text{Area} = \frac{e^2\sqrt{4}}{2*2*2}\\\\\text{Area} = \frac{e^2*2}{2*2*2}\\\\\text{Area} = \frac{e^2}{2*2}\\\\\text{Area} = \frac{e^2}{4}\\\\$

This matches with choice E, which is the other answer. Choices D and F are eliminated as they are not equivalent to the expression for choice E.

4 0

3 years ago

Which of the following information would best be displayed on a pie chart?

My name is Ann [436]

Answer:

A

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please give me a simple answer with a good explanation quickly I need it for Tomorrow and I don't understand it,

klio [65]

Answer:

1. She orders them from least to greatest.

2. She orders them from least to greatest using their absolute values. (absolute value means to just ignore the negative signs)

3. She orders the from greatest to least.

4 0

2 years ago

Can you help me on this one please

Vera_Pavlovna [14]

Answer: x ≥ 1307

Explanation:

First, write the formula:
monthly fee: $14
minute rate: 7¢ or $0.07
total charge: $105.49
.07x + 14 ≥ 105.49 (the sign is this way because they said this price was the least she had been charged for a month.
You can solve for x just like you would in an equation by making the ≥ sign an equal sign
.07x + 14 = 105.49
- 14 -14
.07x = 91.49
÷ .07 ÷ .07
x = 1307 minutes
since you didn't divide by a negative number, the inequality sign stays the same:
x ≥ 1307

8 0

4 years ago

The axis of symmetry for a function in the form f(x) = x2 + 4x - 5 is x = -2. What are the coordinates of the vertex of the

umka2103 [35]

Answer:

(- 2, - 9 )

Step-by-step explanation:

The axis of symmetry passes through the vertex of the parabola.

Thus the x- coordinate of the vertex is x = - 2

To find y substitute x = - 2 into f(x)

f(- 2) = (- 2)² + 4(- 2) - 5 = 4 - 8 - 5 = - 9

Vertex = (- 2, - 9 )

8 0

3 years ago

Read 2 more answers