Answer:
Step-by-step explanation:
Given is a trignometric equation in x, as

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx
WE get now


Principal solution is 
x = ±π/2 + 2kπ, where k is any integer or
x=±pi/6 +k pi, where k is any integer.
General solution is
Number of ounces left is 1120
Step-by-step explanation:
- Step 1: Find number of ounces left after each day.
Given total soup prepared each day = 15 gallons
Amount served each day = 1/4 of 15 = 15/4 gallons
Amount left after each day = 15 - 15/4 = 60 - 15/4 = 35/4 gallons
- Step 2: Convert gallons into ounces. 1 gallon = 128 ounces
35/4 gallons = 35/4 × 128 = 1120 ounces
Solution:
Let x = the number of $70 seats sold
Let y = the number of $20 seats sold
x+y ≤ 20,000
70x+20y > 500,000
Answer:
15" by 10"
Step-by-step explanation:
Use a proportion.
10'/5" = 30"/x
10x = 5 * 30
10x = 150
x = 15"
10'/5" = 20'/y
10y = 5 * 20
10y = 100
y = 10"
Answer: 15" by 10"
Answer:
1a. 8
1b. AB & BC
1c. AC
2.
miles
3. NO
Step-by-step explanation:
1a. AC is your hypotenuse which is C² and BC is B², so we plug it in the equation.
A²+6²=10²
A²+36=100
A²=64
A=
A=8
1b. Legs are the two shorter sides, AB & BC, which are 6 & 8 respectively.
1c. The hypotenuse is the longest side AC
2. Make lines that make the graph for a triangle with a line. My graph is linked below. Then counts the points, AC=6, BC=4, then use the pythagorean therom.
6²+4²=X²
36+16=52
=X
3. 15²+17²=19²
514=361
not possible
so it is not a right triangle