Answer:
8
Step-by-step explanation:
x^2 - 8 = 7x
x^2 - 7x - 8=0
(x - 8)(x + 1)=0
x - 8= 0 x + 1=0
x=8 x= -1
8 is the positive solution
Answer:
286m²
Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
Answer:
$1612.80
Step-by-step explanation:
<u>Sales Tax</u> would be 0.06 * 21,000 = $1260
<u>Property Tax:</u>
16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.
So the property tax would be 16.80 * 21 = $352.80
Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80
3/4 is 1/3 of what number?
For this problem we just need to do the following division:
And we can solve for the value of x desired and we got multiplying both sides by 3:
So then we can conclude that 3/4 is 1/3 of 9/4
Answer: 9/4
Expression:
Answer: x=(7√6)/2
Step-by-step explanation:
To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.
For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.
Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.
The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.
7√3=x√2 [divide both sides by √2]
x=(7√6)/2
Now, we know x=(7√6)/2.
