Answer:
Measure of the smallest angle = 35 degrees.
Step-by-step explanation:
As it is a right triangle the values of the 2 smaller angles will add up to 90 degrees.
So the 2 angles can be written as x and 90-x and we have:
(90 - x) - x = 20
-2x = 20 - 90 = -70
x = 35.
So the 2 angles are 35 and 55 degrees.
Area of the composite shape = 292 yd²
Solution:
The shape is splitted into two rectangles.
The reference image of the answer is attached below.
Length of the top rectangle = 21 yd
Width of the top rectangle = 29 yd – 22 yd = 7 yd
Length of the side rectangle = 29 yd
Width of the side rectangle = 26 yd – 21 yd = 5 yd
Area of the figure = Area of the top rectangle + Area of the side rectangle
= (length × width) + (length × width)
= (21 × 7) + (29 × 5)
= 147 + 145
= 292
Area of the composite shape = 292 yd²
Answer:
use the theorem of pythagoras
LM=MN²+LN²
9²=X²+6²
81=X²+36
-x²=36-81
ײ=36+81
ײ=117
x=10
The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.
However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:
annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2
annual rate = (1 + 0.065/2)^2 -1 = 6.61%
Applying Rule of 72,
72 ÷ 6.61% = 10.89
This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.
Nevertheless, the answer is still close to letter A.) 11.1 years.
Answer:
Step-by-step explanation:
3n+4<19
3n<19-4
3n<15
n<5
combining
(-∞,-16)U(16/9,5)
