9514 1404 393
Answer:
- 125 in²
- 676 km²
- 20 square units
Step-by-step explanation:
The Pythagorean theorem tells you the square on the hypotenuse is equal to the sum of the squares on the other two sides. (This is the version you use for problem 2.)
This also means the square on one side is the difference between the square on the hypotenuse and the square on the other side. (Use this version for problems 1 and 3.)
1. ? = 200 in² -75 in² = 125 in²
2. ? = 576 km² + 100 km² = 676 km²
3. ? = 36 square units - 16 square units = 20 square units
So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.
3 x 4 = 12
√8 x √3 = √24
Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:
12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6
In short, the answer is 24√6, or the first option.
We first find value of tax in dollars.
The difference between the two prices is: 23. 54 - 22 = 1.54
Therefore the sales tax in dollars is 1.54
The tax % will be (amount of tax / original cost price ) × 100
(1.54 / 22) × 100 → (0.07) × 100 = 7
So the tax rate is 7%
We can double check the answer.
7 % of 22 → (7/100) × 22 → 0.07 × 22 = 1.54
22 + 1.54 = 23.54
Answer:
168 ft²
Step-by-step explanation:
The equation for the lateral area of a square pyramid is LA = (Pl/2)
Plug in the values LA = (24(14)) / 2
LA = 336/2
LA = 168 ft²
