1. You can make use of the Pythagorean theorem considering "a" to be the longer leg of the largest right triangle. Then the value of "a" can be calculated from
(16+9)² = 15² +a²
625 -225 = a²
√400 = a = 20
2. You can find the altitude of the largest triangle (the length of the unmarked vertical line), then find "a" as the hypotenuse of the medium-sized right triangle.
That altitude is ...
√(15² -9²) = √144 = 12
so the length "a" is ...
a² = 12² +16² = 144 +256 = 400
a = √400 = 20
3. Based on the 15 and 9 dimensions of the smallest right triangle, you can realize that these triangles are multiples of the 3-4-5 right triangle. Then you can use relevant ratios of the side lengths of any of the triangles of which "a" is a part.
a = 4/3×15 = 4/5×(9+16) = 5/4×16 = 20
Answer:
which person shake 5 times which mean 25 times
The Freeman family:
13 c/kWh (400 kWh) + 2 c/kWh (400 kWh) + 14.5 c/kWh) 450 kWh
= 6464.5 c
6464.5 c x 30 = 193935
The Baum family:
8.5 (400) + 12 (400) + 14.5 (450)
= 14725 c
<span>The Freeman family pays $260.83 more than the Baum family.
</span>
Answer:
The correct answer is $3300 for simple interest and $3312.24 for compound interest.
Step-by-step explanation:
Income as working as a lifeguard = $3000
We deposit the money in a bank which offers 2% interest annually for a period of 5 years.
Case 1 : Calculating simple interest for the given situation.
Amount after 5 years = 3000 + 3000 × 2 × 5 × = $ ( 3000 + 300) = $3300.
Case 2 : Calculating compound interest for the given situation.
Amount after 5 years = 3000 × = $ 3312.24.
Thus the amount after 5 years amount simply is $3000 and compoundly is $3312.24
Answer:
x² - 4x + 3
General Formulas and Concepts:
<u>Alg I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Roots: x = 1, 3
Leading Coefficient: 1
<u>Step 2: Write linear roots</u>
(x - 1)(x - 3)
<u>Step 3: Expand by FOIL</u>
x² - 3x - x + 3
<u>Step 4: Combine like terms</u>
x² - 4x + 3