Step-by-step explanation:
to change or make better - reform
???
right to vote - suffrage
runaway reading slave - Frederick Douglass
newspaper - the north star
she was women's right activist - Susan B
william lloyd garrison newspaper - the liberator
fight to reform prison - Dorthea Dix
46 7/16 is already to the nearest 16th, you are done
Answer: 147 cm²
Step-by-step explanation:
Since it says to use 3 for pi, and the radius is given to us (7 cm), we will plug in and solve for the area.
A = πr²
A = (3)(7)²
A = 147 cm²
Answer:
C. 12m
Explanation:
Let the length of the shorter arm = x
Since the length of the longer arm is equal to twice the length of the shorter arm;
• The length of the longer arm = 2x
• The area of triangle ABD = 18√3 m².
Given a triangle with two sides and the included angle, the area of the triangle is calculated using the formula below:
![\begin{gathered} \text{Area}=\frac{1}{2}ab\sin \theta \\ \implies\text{Area of triangle ABD =}\frac{1}{2}bd\sin A \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7Dab%5Csin%20%5Ctheta%20%5C%5C%20%5Cimplies%5Ctext%7BArea%20of%20triangle%20ABD%20%3D%7D%5Cfrac%7B1%7D%7B2%7Dbd%5Csin%20A%20%5Cend%7Bgathered%7D)
Therefore:
![18\sqrt[]{3}=\frac{1}{2}(x)(2x)\sin (60\degree)](https://tex.z-dn.net/?f=18%5Csqrt%5B%5D%7B3%7D%3D%5Cfrac%7B1%7D%7B2%7D%28x%29%282x%29%5Csin%20%2860%5Cdegree%29)
We solve for x.
![\begin{gathered} 18\sqrt[]{3}=\frac{2x^2}{2}\times\sin 60\degree \\ 18\sqrt[]{3}=x^2\times\frac{\sqrt[]{3}}{2} \\ \text{Multiply both sides by }\frac{2}{\sqrt[]{3}} \\ 18\sqrt[]{3}\times\frac{2}{\sqrt[]{3}}=x^2\times\frac{\sqrt[]{3}}{2}\times\frac{2}{\sqrt[]{3}} \\ x^2=36 \\ x^2=6^2 \\ x=6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2018%5Csqrt%5B%5D%7B3%7D%3D%5Cfrac%7B2x%5E2%7D%7B2%7D%5Ctimes%5Csin%2060%5Cdegree%20%5C%5C%2018%5Csqrt%5B%5D%7B3%7D%3Dx%5E2%5Ctimes%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%20%5C%5C%20%5Ctext%7BMultiply%20both%20sides%20by%20%7D%5Cfrac%7B2%7D%7B%5Csqrt%5B%5D%7B3%7D%7D%20%5C%5C%2018%5Csqrt%5B%5D%7B3%7D%5Ctimes%5Cfrac%7B2%7D%7B%5Csqrt%5B%5D%7B3%7D%7D%3Dx%5E2%5Ctimes%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%5Ctimes%5Cfrac%7B2%7D%7B%5Csqrt%5B%5D%7B3%7D%7D%20%5C%5C%20x%5E2%3D36%20%5C%5C%20x%5E2%3D6%5E2%20%5C%5C%20x%3D6%20%5Cend%7Bgathered%7D)
Multiply x by 2 to get the length of the longer arm:
![2x=2\times6=12m](https://tex.z-dn.net/?f=2x%3D2%5Ctimes6%3D12m)
The length of the longer arm is 12m.
C is the correct option.
4 inches = 1/3 foot
So the volume of that section is (150ft x 5ft x 1/3 ft) = 250 cubic feet
The whole trick to this question is knowing
how many cubic feet make 1 cubic yard.
1 yard = 3 ft
(1yd x 1 yd x 1yd) = 1 yd³
(3ft x 3ft x 3ft) = (3 ft)³ = (3)³ x (ft)³ = 27 ft³ <===
For the sidewalk project,
250 ft³ = (250 / 27) = 9.26 yard³ .
I think the way concrete contractors operate, they'll
want you to order and pay for 10 cubic yards.