To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.

4 0

3 years ago

How many gallons of a 3% salt solution must be mixed with a 7% salt solution to obtain 100 gallons of a 5% salt solution.

MrRissso [65]

Answer:

50 gallons of each.

Step-by-step explanation:

6 0

2 years ago

Some members of the cooking club are making cakes which they will sell at a street fair for $10 apiece. It costs $10 for a booth

Alika [10]

Answer:

The cooking club sales covers the expenditure when 2 piece of cakes are sold.

Step-by-step explanation:

Given:

Selling price of each piece of cake = $10

Cost for booth at fair = $10

Ingredients for each piece of cake = $5

We need to find the number of pieces of cake sold when the sales cover the expenditures.

Solution:

Let the number of pieces be 'x'

So We can say that the point at which the sales cover the expenditures can be calculated as Selling price of each piece of cake multiplied by number of pieces will be equal to Cost for booth at fair plus Ingredients for each piece of cake multiplied number of piece of cakes.

framing in equation form we get;

$10x =10+5x$

Now Subtracting both side by '5x' using Subtraction property we get;

$10-5x=10+5x-5x\\\\5x=10$

Now Dividing both side by 5 we get;

$\frac{5x}{5}=\frac{10}{5}\\\\x=2$

Hence The cooking club sales covers the expenditure when 2 piece of cakes are sold.

7 0

3 years ago

(-15x – 3) + (7x - 6) + (-2x +9)​

(-15x – 3) + (7x - 6) + (-2x +9)