Note: Numbers next to functions are in degrees.
Answer:
Step-by-step explanation:
To simplify the expression, we'll use trigonometric identities.
The identity we'll use is the product-to-sum formula for cosine:
Now, let A = 77 and B = 88
Notice that 77 - 88 = -11 degrees.
Now, we know that cos(-x) = cos(x), so:
Finally, since the cosine function is even (cos(x) = cos(-x)), we have:
Therefore:
See the attachmentfor trigonometric identities formula:
B: natural numbers
C: rational numbers
D: irrational numbers
Answer:
Step-by-step explanation:
A
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Points scored by Hessa is as shown below;
Round 1 = 43 points
Round 2 = 26 points
Total points for both rounds = 43 + 26 = 69 points
To determine the sum she could use to add the points together, we must select the sum that will give us the same total of points for both rounds i.e 69 points.
The Round 1 score (43 pt)can also be expressed as (40+3) points
The Round 2 score (26 pt)can also be expressed as (20+6) points
The sum she could use to add the points together will be (40+3)+(20+6)
which is also equal to 40 + 20 + 3 + 6 = 69points
Hence, option a is correct
The measures of the labelled angles that are vertically opposite to each other are:
x + 87 = 116 degrees
4x = 116 degrees
(x + 87) and 4x are vertical angles directly opposite each other.
According to the vertical angles theorem, (x + 87) and 4x are congruent.
(x + 87) = 4x
x + 87 = 4x
x + 87 - x = 4x - x
87 = 3x
29 = x
x = 29
Find the labelled angles by plugging in the value of x
Therefore, the measures of the labelled angles that are vertically opposite to each other are:
x + 87 = 116 degrees
4x = 116 degrees
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(x + 87)° = 116°
We can see that the angle of (x + 87)° is directly across from the angle of 4x°. This shows that they are equal. We can take the two terms and make an equation.
—> (x + 87) = 4x
After solving for the value of x, we get a value of 29.
Now that we know x, let's substitute it into (x + 87).
(x + 87) becomes (29 + 87), which is equal to 116°.
To check,we can substitute 29 into the other angle of 4x as well, since the two angles are equal.
4x becomes 4(29), which is also equal to 116°.
Answer:
11
Step-by-step explanation:
that same year, about 3.0×10^7 half-dollars were produced.how many more pennies were produced that year than half-dollar? explain how u know