Given:
A figure of a triangular prism.
Height of triangular base = yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
Putting and h=4 in (i), we get
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
Answer:
ADE=59º
Step-by-step explanation:
4x+15+13x+7=90
17x+22=90
17x=68
x=4
angle B=angle ADE so we plug in x=4 into 13x+7
13(4)+7=59º
The value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.
<h3>What are Scientific notations?</h3>
The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5×10¹².
As the value of the scientific notation is given 2.4x10⁻⁴, therefore, for bringing it in the standard form we need to shift the decimal to the left by four digits. So,
Hence, the value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.
Learn more about Scientific notation:
brainly.com/question/1740231
Look at the picture.
We have the equation (1) 12x + 4y = 40.
We know, the sum of the acute angles in a right triangle is 90°.
Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90
Substitute (1) to (2):
40 + 17x - y = 90 <em>subtract 40 from both sides</em>
17x - y = 50 (3)
We have the system of equations:
Substitute the value of x to (3)
Answer: x = 3 and y = 1.