Am not good at that much but let me try
Answer:
180 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Since angle C is 90 degrees and angle A is 15 degrees Then,
A+B+C=180
15+90+B=180
B=180-90-15
B=75 degrees
Using the sine law,
a/sinA = b/sinB = c/sinC
where a, b, and c are the sides of the triangle,
So,
a/sin15 = 37/sin90
and
b/sin75 = 37/sin90
Simplifying, and solving for a and b, the measure of each side is
a= 9.58 units
b=35.74 units
I hope this helped. I am sorry if you get this wrong.
Answer:
The answer to your question is 17/24 gallon
Step-by-step explanation:
Data
total volume = 1 gallon
She uses 3/8 gallon and 1/3 gallon
Process
1.- To find the answer, just sum up the water she used to water her roses and the volume she used to water her geraniums.
3/8 + 1/3 =
- Look for the Least common factor
8 x 3 = 24 LCF = 24
- Solve the fraction
3/8 + 1/3 = (9 + 8) / 24
= 17/24
2.- Conclusion
She used 17/24 gallon to water her flowers.
Answer:
degree of length = 1
degree of width = 1
degree of height = 3
degree of volume = 4
Step-by-step explanation:
V = (4x - 1)( x)(x³) = (4x² - x)x³ = 4x∧5 - x∧4
dV/dx = 20x∧4 - 4x³
d²V/dx² = 80x³ - 12x²
80x³ - 12x² = 0
4x²(20x - 3) = 0
20x - 3 = 0
20x = 3
∴ x = 3/20
Length, 4x - 1 = 4 (3/20) - 1 = 3/5 - 1 = -2/5
∴ degree of length = 1
Width, x = 3/20
∴ degree of width = 1
Height, x³ = (3/20)³ = 27/8000
∴ degree of height = 3
Volume, 4x∧5 - x∧4 = 4(3/20)∧5 - (3/20)∧4 = 4(243/3200000) - (81/160000) = 243/800000 - 81/160000 = (243 - 405)/800000 = - 162/800000 = - 81/400000
∴ degree of volume = 4
Answer:

The fruit company’s expected returns are 10.8%
Step-by-step explanation:
The expected returns of the fruit company is given by

For the given case,
Returns in normal rainfall = x₁ = 20% = 0.20
Returns in drought = x₂ = -3% = -0.03
Probability of normal rainfall = P(x₁) = 60% = 0.60
Probability of drought = P(x₂) = 40% = 0.40
So, the expected value of returns is

Therefore, the fruit company’s expected returns are 10.8%