Answer:
A. width = x - 4.5
B. 111 = 2(x + (x -4.5))
Step-by-step explanation:
A. The width is 4.5 meters shorter than x, so is x -4.5.
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B. The perimeter is twice the sum of length and width. It is 111 meters, so an equation for it could be ...
111 = 2(x + (x -4.5))
Answer:
30%, or 1/3
Step-by-step explanation:
If there are 20 total marbles, and 6 of them are red, to find the probability of pulling a red marble you would do 6/20, which simplifies to 1/3. This can also be written as 30%.
Hope this helps! :)
Answer: <u> 15 DVDs</u>
Step-by-step explanation:
C = 2D + 11
41 = 2D + 11
2D = 30
D = 15 DVDs
Answer:
Step-by-step explanation:
Let's draw the given information first for better understanding . Check the image attached.
We can use cosine rule to find the angles .
for angle A ,
![Cos A =\frac{b^2+c^2-a^2}{2bc}](https://tex.z-dn.net/?f=Cos%20A%20%3D%5Cfrac%7Bb%5E2%2Bc%5E2-a%5E2%7D%7B2bc%7D)
![Cos A =\frac{20^2+12^2-15^2}{2*20*12}](https://tex.z-dn.net/?f=Cos%20A%20%3D%5Cfrac%7B20%5E2%2B12%5E2-15%5E2%7D%7B2%2A20%2A12%7D)
![Cos A =\frac{319}{480}](https://tex.z-dn.net/?f=Cos%20A%20%3D%5Cfrac%7B319%7D%7B480%7D)
m∠A = 48.35 degrees
Similarly for angle B
![Cos B =\frac{a^2+c^2-b^2}{2bc}](https://tex.z-dn.net/?f=Cos%20B%20%3D%5Cfrac%7Ba%5E2%2Bc%5E2-b%5E2%7D%7B2bc%7D)
![Cos B =\frac{15^2+12^2-20^2}{2*15*12}](https://tex.z-dn.net/?f=Cos%20B%20%3D%5Cfrac%7B15%5E2%2B12%5E2-20%5E2%7D%7B2%2A15%2A12%7D)
![Cos B =\frac{-31}{360}](https://tex.z-dn.net/?f=Cos%20B%20%3D%5Cfrac%7B-31%7D%7B360%7D)
m∠B = 94.94 degrees
Now use A+B+C=180 degrees
48.35+94.94+C=180
C=180-48.35-94.94
m∠C = 36.71 degrees
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