Choice A is correct
BC=DC
the two triangles share one angel C
the two triangles each have a right angle
so they are congruent according to Angle-Side_Side Theorem
Answer:
<u>First figure:</u> ![954cm^3](https://tex.z-dn.net/?f=954cm%5E3)
<u>Second figure:</u> ![1,508yd^3](https://tex.z-dn.net/?f=1%2C508yd%5E3)
<u>Third figure:</u>
- Height= q
- Side length = r
<u>Fourth figure: </u> ![726cm^3](https://tex.z-dn.net/?f=726cm%5E3)
Explanation:
<u></u>
<u>A. First figure:</u>
<u>1. Formula:</u>
![\text{Volume of a cylinder}=\pi \times radius^2\times length](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20a%20cylinder%7D%3D%5Cpi%20%5Ctimes%20radius%5E2%5Ctimes%20length)
<u>2. Data:</u>
<u>3. Substitute in the formula and compute:</u>
![Volume=\pi \times (4.5cm)^2\times (15cm)\approx 954cm^3\approx 954cm^3](https://tex.z-dn.net/?f=Volume%3D%5Cpi%20%5Ctimes%20%284.5cm%29%5E2%5Ctimes%20%2815cm%29%5Capprox%20954cm%5E3%5Capprox%20954cm%5E3)
<u>B. Second figure</u>
<u>1. Formula: </u>
![\text{Volume of a leaned cylinder}=\pi \times radius^2\times height](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20a%20leaned%20cylinder%7D%3D%5Cpi%20%5Ctimes%20radius%5E2%5Ctimes%20height)
<u>2. Data:</u>
<u>3. Substitute and compute:</u>
![Volume=\pi \times (12yd)^2\times (40yd)\approx 1,507.96yd^3\approx 1,508yd^3](https://tex.z-dn.net/?f=Volume%3D%5Cpi%20%5Ctimes%20%2812yd%29%5E2%5Ctimes%20%2840yd%29%5Capprox%201%2C507.96yd%5E3%5Capprox%201%2C508yd%5E3)
<u></u>
<u>C) Third figure</u>
a) The<em> height </em>is the segment that goes vertically upward from the center of the <em>base</em> to the apex of the pyramid, i.e.<u> </u><u>q </u>.
The apex is the point where the three leaned edges intersect each other.
b) The side length is the measure of the edge of the base, i.e.<u> r </u><u> </u>.
When the base of the pyramid is a square the four edges of the base have the same side length.
<u>D) Fourth figure</u>
<u>1. Formula</u>
The volume of a square pyramide is one third the product of the area of the base (B) and the height H).
![Volume=(1/3)B\times H](https://tex.z-dn.net/?f=Volume%3D%281%2F3%29B%5Ctimes%20H)
<u>2. Data: </u>
- side length of the base: 11 cm
<u>3. Calculations</u>
a) <u>Calculate the area of the base</u>.
The base is a square of side length equal to 11 cm:
![\text{Area of the base}=B=(11cm)^2=121cm^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20base%7D%3DB%3D%2811cm%29%5E2%3D121cm%5E2)
b) <u>Volume of the pyramid</u>:
![Volume=(1/3)B\times H=(1/3)\times 121cm^2\times 18cm=726cm^3](https://tex.z-dn.net/?f=Volume%3D%281%2F3%29B%5Ctimes%20H%3D%281%2F3%29%5Ctimes%20121cm%5E2%5Ctimes%2018cm%3D726cm%5E3)
Answer:
289
Step-by-step explanation:
Your mom your mom your mom your dad your mom
Answer:
Hey
Step-by-step explanation:
I bevlive your answer is B. If you multiply the two numbers you get 1.4