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natali 33 [55]
4 years ago
8

Use the number line to determine the absolute value. Enter the value, as a mixed number in simplest form, in the box. ∣∣−2 2/3∣

∣ = Pleasee help will give brainliest! 

Mathematics
1 answer:
Pani-rosa [81]4 years ago
8 0

Absolute value is a term which is used to indicate the distance of a point or number from the origin of a number line or coordinate system.

Suppose x is a real number. Then the absolute value of x is defined as follows:

For x = 0 or x > 0, | x | = x

For x < 0, | x | = - x

Now, we have to find the absolute value of the given number \left \| -2\frac{2}{3} \right \| that means we have to find the distance of \left \| -2\frac{2}{3} \right \|  from the origin of a number line.

Distance of -2\frac{2}{3} from the origin is 2\frac{2}{3} . As distance can never be negative.

Therefore, the absolute value of \left \| -2\frac{2}{3} \right \| is 2\frac{2}{3} .

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The volume of a cylinder is 80 cubic centimeters. If the diameter and
slava [35]

Answer:2 yds and h

Step-by-step explanation:

7 0
3 years ago
Tanya spent 1/5 of her allowance on candy and 2/3 on food. What fraction of her allowance did Tanya spend on food and candy alto
kari74 [83]
13/15 of her allowance was spent in total.

To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.

Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.

Then, you add the two fractions together (10/15 + 3/15 = 13/15).

Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.

Hope this helped!!!
8 0
3 years ago
A square base of a pyramid has the dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can
-Dominant- [34]

Answer:

145 yards squared

Step-by-step explanation:

So the area of the base is area of a square with side length of 5 yards 5*5=25

The area of one triangular face base times height divided by two and then simply multiplied by 4 because there are 4 triangular faces.

(\frac{5*12}{2} )*4 = 120

So the total surface area is 25+120=145 yards squared

4 0
3 years ago
Read 2 more answers
A shipping box in the shape of a cube has an edge length of 8 inches. It can hold 8 mugs with no extra space between them. If th
andriy [413]

Answer:

64

Step-by-step explanation:

Volume of a cube is:

V = s³

When s = 8 in:

V = (8 in)³ = 512 in³

When s is doubled (s = 16 in):

V = (16 in)³ = 4096 in³

Now we can write a proportion:

8 mugs / 512 in³ = x mugs / 4096 in³

x = 64

4 0
3 years ago
Read 2 more answers
Find the length of the altitude to the hypotenuse under the given conditions. Give the answer in simplest radical form.
jonny [76]

Answer:

AD = 2√10

Step-by-step explanation:

We're looking for the length AD.

To start, let's break off two smaller triangles from this large one: ΔBDA andΔADC. These triangles are <em>similar</em>: that is, all their interior angles are the equal. Since they're similar, the corresponding sides of these triangles will be in proportion to each other. That is to say, the <em>ratio </em>between corresponding sides will be equal. AD on the larger triangle corresponds to BD on the smaller one, and DC on the larger triangle corresponds to DA on the smaller one. Using this information, we can set up the ratio

\dfrac{AD}{BD} =\dfrac{DC}{DA}

AD and DA describe the same line segment, so we can replace DA with AD, and substituting BD = 5 and DC = 8 makes the equation

\dfrac{AD}{5} =\dfrac{8}{AD}

Cross multiplying gives us (AD)^2=40, and taking the square root gives us our value for AD:

\sqrt{(AD)^2}=\sqrt{40}\\AD=\sqrt{4\cdot10}=\sqrt{4}\sqrt{10}=2\sqrt{10}

So our solution is AD = 2√10

6 0
4 years ago
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