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Alex17521 [72]
3 years ago
7

PLEASE PLEASE HELP IM ABOUT TO FAIL I REALLY NEED A GOOD ANSWER

Mathematics
1 answer:
pychu [463]3 years ago
7 0

For part A, use the Pythagorean Theorem.

a.) Since we see that the triangle is made up of two right triangles, simply subtract half the leg from the length of the hypotenuse.

10/2 = 5

13² - 5² = 169 - 25 = √144 = 12 centimeters cubed for the height.


b.) For this, we need to find the surface area of the prism. The surface area of a triangular prism can be found using the formula:

Surface area (SA) = 10(12) + (10 + 13 + 13)(20)

=120 + 660 = 780 cm²


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Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.)
nalin [4]

Answer:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

Step-by-step explanation:

Given the equation:

sin(x)-2sin(x) tan(x)=0

To find:

The solutions of given equation in the range [0, 2\pi) i.e. 0 can be in the answer but 2\pi can not be there in the answer.

Solution:

Taking tan(x) common, we get:

tan(x) (1-2sin(x))=0

The solutions can be given as:

tan(x) = 0 OR 1-2sin(x) = 0

Let us solve both the equations one by one:

First equation:

tan(x) = 0\\ \Rightarrow x=0, \pi

Second equation:

1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}

Therefore, the answers as a comma separated list are:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

7 0
2 years ago
What is one benefit and one limitation of loss aversion
Eddi Din [679]

Answer:

"...loss aversion refers to people's tendency to prefer avoiding losses to acquiring equivalent gains: it is better to not lose $5 than to find $5."

7 0
3 years ago
The surface area of a square pyramid is 125 square feet. The base length is 5 feet. What is the slant height?
Mademuasel [1]

Answer:

10.31 ft

Step-by-step explanation:

the base is 25 ft²

leaves 100 ft² for the 4 sides on top

so each triangle got 25ft²

the base length of the triangle is 5ft, bc it's the base length of the pyramid

so the height of the triangle is 10ft,

bc only then do we get a surface area of 25ft²

(b * h /2) for the triangle

now that we got base length and height,

let's look for the slant

we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.

leaving us with 10ft (height) and 2.5ft

slant² = 10² + 2.5²

slant² = 106.25

slant = sqrt(106.25)

slant = 10.31

3 0
2 years ago
Read 2 more answers
How many zeros are there in the standard form of six hundred thousand, twenty?
Julli [10]
There are Three zeros

3 0
3 years ago
Can someone help me please?​
jeka57 [31]

Answer:

85

Step-by-step explanation:

because A is half of that and if you divided 170 by 2 you would get 85, I think that's how you do it.

7 0
3 years ago
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