Answer:
18+12.125π units²
Step-by-step explanation:
The diameter of the semicircle can be found by the use Pythagoras theorem.
Δx²+Δy²=d²
Δx=3--1=4
Δy=3--6=9
d²=4²+9²
d=√(16+81)
Area=πr²/2
=π×(√(16+81)/2)²÷2
=[π×(97)/4]/2
=97π/8
=18+12.125π units²
97π/8 is equivalent to 18+12.125π units²
The closest answer I can see you type is: 35/1.66666666
This is because you divide 21 by 18 which (if you divide 21 by 1.666666 you get 18) and whatever you do to 1 side, you do to the other, then you get 35/1.6666666
Answer:
<em>Option D: 159 3/8 cm^3 </em>
Step-by-step explanation:
1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3
2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ <em>Base * height = length * width * height</em>
3. Substitute and compute the volume through algebra:
5 cm * 8 1/2 cm * 3 3/4 cm =
5 cm * 17/2 cm * 15/4 cm =
85/2 cm^2 * 15/4 cm =
1275/8 cm^3 =
<em>159 3/8 cm^3</em>
4. This means that the<em> Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)</em>
Answer:
1/13
Step-by-step explanation:
There are 4 nines in a deck so the probability is 4/52 = 1/13
Since (AB) ̅≅(AD) ̅ (the lines beside the parentheses are to show that they are lines) we have congruent hypotenuses. (AC) ̅≅(AC) ̅ so legs are ≅ So, es; ΔACB≌ΔACD by HL. The answer is D.Yes; ΔACB≌ΔACD.
Hope this helped!
