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Anarel [89]
2 years ago
7

Can anyone help me????

Mathematics
1 answer:
Ne4ueva [31]2 years ago
8 0

Answer:

Ed used 39/60 of one hour to complete his tasks.

Step-by-step explanation:

Find the least common denominator (LCD), which would be 20

Then, find how to get from 5 to 20 and 4 to 20.

Use division.

20/5 = 4, 20/4 = 5

After this, multiply the numerator to the according number.

2*4 = 8 = 8/20

1*5 = 5 = 5/20

Make the denominator 60 to represent 60 minutes in one hour

5/20*3/3 = 15/60

8/20*3/3 = 24/60

Add the two results.

15/60 + 24/60 = 39/60

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The sum of three consecutive even integers is 72. Let x represent the least consecutive integer.
Arlecino [84]
The integers are x, x + 2 and x + 4

x + x + 2 + x + 4 = 72
3x + 6 = 72
3x = 72 - 6 = 66
x = 66/3 = 22

The least consecutive integer is 22
The second consecutive integer is 24
Therefore, the numbers are 22, 24 and 26
8 0
3 years ago
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The vertical segment joining A (1,5) and B (1,1) has been graphed on the number plane. Find the length of the segment.
Alecsey [184]

Answer:

4 units

Step-by-step explanation:

because the points have the same x-coordinate, we just need to subtract the y-coordinates to find the distance.

5 - 1 = 4

therefore, the length of the segment is 4 units.

hope this helps! <3

7 0
2 years ago
Suppose an airplane climbs 15 feet up for every 40 feet it moves forward. What is the slope of this airplanes ascent?
Anastasy [175]

the rise over run is 15/40 so the slope of the airplanes ascent is 0.375 feet per foot is move forward

5 0
3 years ago
Please help i can’t do this and it’s due today please help !!
USPshnik [31]

Answer:

go 3 squares to the side and 2 squares up?

4 0
3 years ago
A cone has radius 9 and a height 12. A frustum of this cone has height 4.
Anettt [7]

Answer:

Part A)

The lower base has a radius of 9 units, and the upper base has a radius of 6 units.

Part B)

5 units.

Part C)

75π or about 235.62 square units.

Step-by-step explanation:

Please refer to the figure below.

The cone has a radius of 9 units and a total height of 12 units.

A frustum of the cone has a height of 4 units.

Part A)

The lower radius of the frustum will simply be 9 units.

For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:

\displaystyle \frac{12}{8}=\frac{9}{x}

Solve for <em>x.</em> Simplify:

\displaystyle \frac{3}{2}=\frac{9}{x}

Cross-multiply:

18=3x\Rightarrow x=6

The upper base has a radius of 6 units.

Part B)

We can first find the total slant height of the entire cone. By using the Pythagorean Theorem, this yields that the total slant height is:

SH^2=12^2+9^2

Simplify:

SH^2=225\Rightarrow SH=15\text{ units}

Now, find the slant height of the upper cone:

(SH_\text{cone})^2=8^2+6^2=100

So:

SH_\text{cone}=10

Then the slant height of the frustum will be the cone subtracted from the total. Thus:

SH_{\text{frustum}}=15-10=5\text{ units}

Part C)

We can first find the lateral area of the entire cone. The lateral area is given by:

LA=\pi r\ell

The lateral area of the entire cone will be:

LA=\pi (9)(15)=135\pi

The lateral area of the upper cone will be:

LA_\text{cone}=\pi(6)(10)=60\pi

Then the lateral area of the frustum is:

LA_\text{frustum}=135\pi-60\pi =75\pi\text{ units}^2\approx235.62\text{ units}^2

5 0
2 years ago
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