Answer:
Step-by-step explanation:
Comment
You are given values for the adjacent side of <x and the hypotenuse of a right triangle. This defines the Cosine of an angle
Equation
Cos(x) = a/c the way you have labeled it.
Givens
a = 9
c = 18
Solution
Cos(x) = a / c
Cos(x) = 9 / 18
cos(x) = 1/2
x = cos-1(1/2)
x = 60 degrees
Answer
x = 60
The awnser to number 2 i think
2. area = 363,636
Answer:
5.76
Step-by-step explanation:
4.80×.20=0.96
4.80+0.96=5.76
Answer:
5
Step-by-step explanation:
If 3.5 cups of flour makes 7 servings, then 0.5 cups of flour are needed for each serving if you divide 3.5 by 7, 10 times 0.5 is equal to 5.
Answer:
324 cubes.
Step-by-step explanation:
Let n be the number of cubes with edge length 1/12 meter.
We have been given the lengths of edges of a right rectangular prism as
meter,
meter and
meter.
, where,
L = Length of prism,
B = Breadth of prism,
H = Height of prism.
, where a= length of each edge of the cube.
The volume of n cubes with each edge 1/12 will be equal to the volume of rectangular prism.
![\text{Volume of n cubes}=\text{Volume of rectangular prism}](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20n%20cubes%7D%3D%5Ctext%7BVolume%20of%20rectangular%20prism%7D)
![n\times a^3=L*B*H](https://tex.z-dn.net/?f=n%5Ctimes%20a%5E3%3DL%2AB%2AH)
Upon substituting our given values we will get,
![n\times\frac{1}{1728}=\frac{3}{16}](https://tex.z-dn.net/?f=n%5Ctimes%5Cfrac%7B1%7D%7B1728%7D%3D%5Cfrac%7B3%7D%7B16%7D)
Let us multiply both sides of our equation by 1728.
![\frac{n}{1728}*1728=\frac{3}{16}*1728](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B1728%7D%2A1728%3D%5Cfrac%7B3%7D%7B16%7D%2A1728)
![n=\frac{3}{16}*1728](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B3%7D%7B16%7D%2A1728)
![n=3*108](https://tex.z-dn.net/?f=n%3D3%2A108)
![n=324](https://tex.z-dn.net/?f=n%3D324)
Therefore, 324 unit cubes can fit inside the given right rectangular prism.