- We know, sum of all angles of a triangle is 180°.
- Therefore, by the problem
72 + 64 + (4x+20) = 180
or, 156 + 4x = 180
or, 4x = 180 - 156
or, 4x = 24
or, x = 24 ÷ 4 = 6
<h3><em>Your </em><em>answer </em><em>is </em><em>6</em><em>.</em></h3>
Volume is a three-dimensional scalar quantity. The volume of the triangular prism is 66cm².
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the length of the triangle is 4cm, while the width of the triangle is 11cm, therefore, the area of the base of the triangle will be,
Area of triangle = 0.5 × 4cm × 11cm
Area of triangle = 22 cm²
Now, the volume of the prism with a base area of 22cm² and a height of 3 cm is,
Volume of the triangular prism = 22cm² × 3cm = 66cm³
Hence, the volume of the triangular prism is 66cm².
Learn more about Volume:
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Answer:
Step-by-step explanation:
If it's a riddle, then the answer is no time at all, simply because the field is already plowed.
Answer:
60 mph
Step-by-step explanation:
Time:miles
4:240
1:x
To get x divide 240 by 4 because that's what we divided 4 by to get 1
The rate is 60
select all times with the rate of 60 mph
<u>Answer:</u>
csc = 5/4
<u>Step-by-step explanation:</u>
Assuming that the two given points 3/5 and 4/5 are the two sides of a triangle and a right angle 0 with legs x and y and z as its hypotenuse.
Then using Pythagoras Theorem:
![z^2=x^2+y^2](https://tex.z-dn.net/?f=z%5E2%3Dx%5E2%2By%5E2)
![z^2=(\frac{3}{5} )^2+(\frac{4}{5} )^2](https://tex.z-dn.net/?f=z%5E2%3D%28%5Cfrac%7B3%7D%7B5%7D%20%29%5E2%2B%28%5Cfrac%7B4%7D%7B5%7D%20%29%5E2)
![z^2 = \frac{9}{25} + \frac{16}{25}](https://tex.z-dn.net/?f=z%5E2%20%3D%20%5Cfrac%7B9%7D%7B25%7D%20%2B%20%5Cfrac%7B16%7D%7B25%7D)
![z^2=\frac{25}{25}](https://tex.z-dn.net/?f=z%5E2%3D%5Cfrac%7B25%7D%7B25%7D)
![z^2=1](https://tex.z-dn.net/?f=z%5E2%3D1)
Taking square root on both the sides:
![z=1](https://tex.z-dn.net/?f=z%3D1)
Now, ![sin\alpha=\frac{4}{5}](https://tex.z-dn.net/?f=sin%5Calpha%3D%5Cfrac%7B4%7D%7B5%7D)
and we know that ![csc = \frac{1}{sin\alpha }](https://tex.z-dn.net/?f=csc%20%3D%20%5Cfrac%7B1%7D%7Bsin%5Calpha%20%7D)
Therefore, csc = 5/4.