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marshall27 [118]
3 years ago
8

A triangular prism and two nets are shown:

Mathematics
1 answer:
leonid [27]3 years ago
8 0
The net for a triangular prism consists of 
2 identical triangles, here all nets have sides 5,12, and 13.
3 rectangles, all with a common dimension: the height H=14 of the prism.

Each of the 3 rectangles should have dimensions
H=14 plus one of the following:
each of 5, 12, 13 corresponding to one side of the base (triangle).

So the dimensions of the rectangles are
5x14, 12x14, 13x14

And dimensions of the triangles are
5,12 and 13.

The total surface area is therefore
(5+12+13)*14 + 2*(5*12/2)
=420+60
=480.

There is only one net that satisfies this condition.

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After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i
Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

5 0
3 years ago
How do you solve integers?
Mashcka [7]
Steve woke up with a temp of 102.....later, it was 3 degrees lower. This is telling u to subtract...because it is going lower.
102 - 3 = 99...so now he has a temp of 99
8 0
4 years ago
Find the series shown.
solmaris [256]

Answer:

C 11+13+15+17+...

Step-by-step explanation:

Consider the series

\sum\limits_{n=3}^{\infty}(2n+5)

The nth term of series is a_n=2n+5

The bottom index tells you that n starts changing from 3, so

a_3=2\cdor 3+5=11\\ \\a_4=2\cdot 4+5=13\\ \\a_5=2\cdot 5+5=15\\ \\a_6=2\cdot 6+5=17\\ \\...

Thus, the sum of all terms is

11+13+15+17+...

8 0
3 years ago
Is Lamonts average above or under 90
denpristay [2]
83 + 94 + 79 + 97 + 96 + 87 = 536.
536 ÷ 6 = 89.333333...

So, Lamonts' average is under 90.
7 0
4 years ago
What is factor sir 13?
professor190 [17]
Since 13 can only be divided evenly by 1 and 13 (itself), it is called a prime number.
5 0
3 years ago
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