Answer:
m<U = 
Step-by-step explanation:
From the given question, it can be observed that angles U and W are supplementary. These are angles that add up to 
.
So that;
<U + <W =
(8x + 9) + (8x - 5) =
16x + 4 =
16x = - 4
16 x = 176
x = 
= 
The measure of angle U = (8x + 9)
= 8(11) + 9
= 88 + 9
=
Thus, the measure of angle U is .
Answer:
2⁴ + r
Step-by-step explanation:
Change the sentence into a expression.
Note that r is a variables.
"Raise 2 to the 4th power..." means 2 to the 4th power, or 2⁴.
"...then add r to the result" means: + r
Combine the two terms:
2⁴ + r is your answer.
~
Simplify if need be.
2⁴ = 2 * 2 * 2 * 2 = 4 * 4 = 16
r + 16 is your answer.
~
<span>given value of x -4x+7 for x=-1
</span>-4x+7
=-4(-1) + 7
=4 +7
=11
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
sin²x + 7cosx + 17
=1 - cos²x + 7cosx + 17
= - cos²x + 7cosx + 18 ← factor out - 1 from each term
= - (cos²x - 7cosx - 18)
Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)
The factors are - 9 and + 2, thus
= - (cosx - 9)(cosx + 2) ← in factored form
Step-by-step explanation:
step 1. very tough question! you need the slant height (h)
step 2. h = sqr(8^2 + 3^2) = sqr(73) sqr is the square root
step 3. SA = B + ph/2 where SA is the surface area, B is the base area, and p = the lateral perimeter
step 4. we will call the hypotenuse of the right triangle c
step 5. c = sqr(13^2 + 6^2) = sqr(205)
step 6. SA = (1/2)13(6) + (13 + 6 + sqr(205))sqr(73)/2
step 7. SA = 39+ (33.3178)(8.5440)/2 = 181.3336 cm^2.
