Answer:
∠DAB = ∠DBA
Then AD=DB from above statement
Answer:
Volume = 42 units^2
x = 5 units
Total Surface Area = 96 units
Step-by-step explanation:
Volume
V = bh, where b = 1/2 * 3 * 4 and h = 7,
= 6 * 7 = 42 units^2
x
You can solve for this variable by using the pythagorean theorem;
a^2 + b^2 = c^2, where a = 3 and b = 4,
9 + 16 = x^2
= 25 = x^2
= x = 5 units
Total Surface Area
You can solve this by multiplying the perimeter of the base (3 + 4 + 5) by the height and adding that to two times the area of the base:
7 * (3 + 4 + 5) + 2(1/2*3*4)
= 7*12 + 12
= 96 units
Given:1 basket = 4 soaps + 2 lotions127 total soaps85 total bottles of lotion First divide the total amount of soap by however many is needed to make single basket. 127/4 = 31.75 ≈ 31 sets Then divide the total amount of lotion by however many is needed to make single basket 85/2 = 42.5 ≈ 42 sets You will need to pick the whichever number is lower/ This will ensure that you have all the supplies you need to make a complete basket. Therefore, you can make 31 complete baskets.
Answer:
Answer a
Step-by-step explanation:
Since there is a radical in the first fraction, we need to multiply it by the same radical in the denominator of another fraction to get rid of the root.
Answer:
Step-by-step explanation:
Multiplying bases with exponents means you have to multiply the base and add the exponent. So:
(10⁴)(5²) = 50⁶
(10³)(5³) = 50⁶
Now the equation is (50⁶/50⁶)³
Anything divided by itself will be one, so the number inside the parentheses is 1.
Now the equation is 1³, and 1x1x1 is 1.
