Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
if 30 girls are added then for 25 days the food will last.
Answer:
We conclude that the mean number of residents in the retirement community household is less than 3.36 persons.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 3.36
Sample mean, 
= 2.71
Sample size, n = 25
Alpha, α = 0.10
Sample standard deviation, s = 1.10
First, we design the null and the alternate hypothesis
We use One-tailed(left) t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and fail to accept it.
Thus, we conclude that the mean number of residents in the retirement community household is less than 3.36 persons.
Answer: Joanna will have 275.4 and Zinaya will have 360.
Joanna Equation: 1,530 x .06 = 91.8
91.8 x 3 = 275.4
Zinaya Equation: 1,500 x .08 = 120
120 x 3 = 360
Hope this helps!!
