First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
The values of b and c are -4 and 4 respectively
<h3>How to determine the values of b and c?</h3>
The function is given as:
f(x) = x^2 + bx + c
Differentiate f(x)
f'(x) = 2x + b
Set to 0
2x + b = 0
Solve for b
b = -2x
The minimum is (2, 0).
So, we have:
b = -2 * 2
b = -4
Substitute b = -4 in f(x) = x^2 + bx + c
f(x) = x^2 - 4x + c
Substitute (2, 0)
0 = (2)^2 - 4(2) + c
This gives
0 = 4 - 8 + c
Evaluate
c = 4
Hence, the values of b and c are -4 and 4 respectively
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Answer:
The highest temperature was 33C warmer than the lowest temperature.
Step-by-step explanation:
In order to find how many degrees warmer was the highest temperature, you have to calculate the difference between both temperatures:
23-(-10)
According to the sign rule, you have to change the subtraction sign to addition and then, change the sign on the umber after that and add the numbers, which is:
23+10=33
According to this, the answer is that the highest temperature was 33C warmer than the lowest temperature.
350 hamburgers were sold on Tuesday.
Step-by-step explanation:
Given,
Number of hamburgers and cheeseburgers sold = 774
Let,
Number of hamburgers sold = x
Number of cheeseburgers sold = y
According to given statement;
x+y=774 Eqn 1
y = x+74 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 2
350 hamburgers were sold on Tuesday.
Keywords: linear equation, substitution method
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Answer:
Part 1. 10 modules per floor
Part 2. Two different rectangular prism
Step-by-step explanation:
Let
x ----> the number of modules
y ---> the number of stories
we have
x=150\ modules\\y=15\ stories
Divide the number of modules by the number of stories
so
\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}