Answer: Up to 140 quarts.
Step-by-step explanation: There are 4 quarts in one gallon so you just multiply 35 by 4.
C. A survey of 70 teachers showed that 21 of them have a second job.
D. A survey of 80 teachers showed that 32 of them have a second job.
In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job. Which two surveys show proportional results?
A) A and B
B) B and D
C) A and D
D) B and C
Answer:
Correct option is:
D) B and C
Step-by-step explanation:
A. A survey of 110 teachers showed that 28 of them have a second job.
B. A survey of 90 teachers showed that 27 of them have a second job.
C. A survey of 70 teachers showed that 21 of them have a second job.
D. A survey of 80 teachers showed that 32 of them have a second job.
Percentage of teachers having second job is calculated by the formula:
So, percentage of second job teachers of survey A,B,C and D is:
A B C D
Percentage 25.45% 30% 30% 40%
Hence, two surveys that are proportional are
B and C
Hence, Correct option is:
D) B and C
b. How many swimming lessons did she pay for?
c. At the time she has $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?
214 83 106 99 83 155 175
Answer:
The angle that the ladder made with the ground = 53.13010235°
Step-by-step explanation:
The ladder has a length of 10 ft and it leaned against a wall to form a right angle triangle. The height from the top of the ladder to the ground is given as 8 ft. The triangle formed from the illustration can be represented with the picture below.
The angle A is the angle the ladder made with the ground.
Length of ladder = c
height from the top of the ladder to the ground = a
The distance of the foot of the ladder and the wall = b
c = 10 ft
a = 8 ft
Using SOHCAHTOA
sin A = a/c
sin A = 8/10
sin A = 0.8
A = sin-1 0.8
A = 53.13010235°
Answer:
The given measurement will produce only 1 triangle
Step-by-step explanation:
Given:
a = 13
c = 15
∠A = 53°
now, applying the law of sine, we have
(a/sinA) = (c/sinC)
on substituting the values, we get
(13/sin53°) = (15/sinC)
or
sinC = 0.921
or
C = 67.14°
also, sum of all the angles of a triangle = 180°
thus,
∠A + ∠B + ∠C = 180°
53° + 67.14° + ∠B = 180°
or
∠B = 59.85°
now,
again applying the law of sine, we have
(a/sinA) = (b/sinB)
on substituting the values, we have
(13/sin53) = (b/sin59.85°)
or
b = 14.07
now, we have all the dimension of the triangle and have obtained the unique values,
Therefore, the given measurement will produce only 1 triangle