Answer:
5/16
Step-by-step explanation:
velvet and acoustic guitar (5) over total (16)
5/16 does not simplify
Since you're adding x feet to the length which is 12 feet:
New area: (12+x)10.5
Answer:
The value after three years is $137,027.97
Step-by-step explanation:
Here, we want to get the value of the home after 3 years
Generally, we have the exponential formula as follows;
y = P(1 + r)^t
where P is the original cost which is $124,400
r is the rate of increase which is 3% = 3/100 = 0.03
t is the time which is 3 years
Substituting these values;
y = 125400(1 + 0.03)^3 = $137,027.97
Answer: Angles A and B are complementary angles
If Sin A ≈ 0.766 then Cos B ≈ 0.766.
If Cos B ≈ 0.766 then Sin A ≈ 0.766
Step-by-step explanation: In any given right angled triangle, one angle measures 90 degrees while the addition of the other two angles equals to 90 degrees. Hence if angle C is given as 90 degrees, then angles A and B added together equals 90 degrees (complementary angles equal 90 degrees).
Also, Sin A cannot be the same value as Sin B, since angle A and angle B are not equal in measurement. However, being complementary, the Sin of angle A equals the Cos of angle B.
If Sin A ≈ 0.766, then angle A ≈ 50 degrees
That makes angle B equal to 40 degrees. The Cos of B ≈ 0.766
Therefore if Sin A ≈ 0.766, then Cos B ≈ 0.766
If Cos B ≈ 0.766 then Sin A ≈ 0.766 are both correct
Width of the rectangle is 13 ft and length of the rectangle is 33 ft
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14
⇒ 92 = 6x + 14
⇒ 78 = 6x
⇒ x = 78/6
∴ x = 13 ft
⇒ Width of the rectangle = 13 ft
∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft
