∠ADC = 112°
∠ADC =6x + 7 + 12x - 3
Equate both:
6x + 7 + 12x - 3 = 112
Solve for x :
6x + 7 + 12x - 3 = 112
Combine like terms:
18x + 4= 112
Take away 4 from both sides:
18x = 108
Divide both sides by 18:
x = 6
Find ∠ADB:
6x + 7 = 6(6) + 7 = 43
Answer: ∠ADB = 43°
Answer:
Total amount = R5112
Step-by-step explanation:
Let the cooks be C.
Let the waiters be W.
Given the following data;
Number of cooks, C = 2
Number of waiters, W = 3
a. To find the amount earned by each cook;
C = 36 * R36 = R1296
b. To find the amount earned by each waiter;
W = 30 * R28 = R840
c. To find the total amount earned by the employees;
Total amount = 2C + 3W
Total amount = 2(1296) + 3(840)
Total amount = 2592 + 2520
Total amount = R5112
Answer:
Step-by-step explanation:
To solve this question, simply use the formula to find the volume of the cylinder,
V = Pi r^2 • h
V = 3.14 • 4^2 • 4.
Then compare the value for volume to the closest number on the number line. Is it in between 2 numbers, exactly one number on the number line or very close to one number as in the number line.
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is:
