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
Answer:
Number of cups of lemonade = 59 cups
Step-by-step explanation:
Given the linear function :
C = 2t - 89
At temperature of 74° ;
The cups of lemonade as calculated using the linear model:
C = 2t - 89 ; where c = cost of lemonade ; t = temperature.
C = 2(74) - 89
C = 148 - 89
C = 59
1 1/4 = 1 3/12 and 2/3 = 8/12
1 3/12 + 8/12= 1 11/12
Answer:
option c is the correct answer
