Answer:
1. a=2.3
2. b=2.6
3. c=2.3
4.d=2.6
5. e=40
6. f=1/6
7. g=85
Step-by-step explanation:
Always know the formula for volume prism because that shape is a prism.
Formula For PRISM: BH/2 x Height.
So then we are going to solve the triangle first... 7 x 22= 154/2= 77
Then multiply by the height which is 25.
77 x 25= 1,925.
So your answer should be 1,925 meters cubed. *Don't forget to write the measurement
*hope this helps
Answer:
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Step-by-step explanation:
The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be
of the circle's length (circumference).
The circumference of a circle is given by
, where
is the radius of the circle. Therefore, the circumference of the circle is
. As we found earlier, the length of the arc is
of this circumference. Therefore, the arc's length is
.
To the nearest integer, this is
.
Answer:
84
Step-by-step explanation:
2^2=4
4+8=12
12*7=84
Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.