Answer:
yes; x=7
Step-by-step explanation:
When two corresponding angles are congruent, all angles are congruent, so the triangles are similar. The sides of the triangle on the right are 30/25 = 6/5 times the length of the sides of the left triangle, so side MP will be 6/5 times the length of JL, or (6/5)·20 = 24.
Then the expression for that length lets us find the value of x:
24 = 4x -4
6 = x -1 . . . . . divide by 4
7 = x . . . . . . . add 1
By moving the decimal point two spaces to the left, the number becomes a number between one and ten
the answer is 6.56 times 10^2
Answer:
1.14 liters
Step-by-step explanation:
We have 8% glycerin solution and we need to make it 16% glycerin solution [more concentration].
When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??
Note, 16% = 0.16
We can write a Ratio as shown below, cross multiply and solve for x:
We need to add around 1.14 liters
Square root of 6 times 16 will give us 39.19
The square root of 48 times 32 [which gives us 1536] is also equal to 39.19
The square root of 1536 is equal to 39.19
Hence, x is equal to 32
Hope this helped! :D
Answer:
11,400 ft^2
with no allowances for doors or windows
Step-by-step explanation:
ceiling: (35)(40) = 1400
walls: 2(35 x 16) + 2(40 x 16) = 2400
2400 = 1400 = 3800 ft^2
3800 ft^2 x 3 = 11,400 ft^2
