Answer:
-u+5
Step-by-step explanation:
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Since the measures of the two angles are in the ratio 8:1, this means the bigger angle's is 8x and the smaller angle is x. Since they are complementary, they add to 90°, so you create the equation 8x+x=90°. This can be simplified to 9x=90°. Then, you divide 90 by 9 to get 10. This means x=10. Next, you replace x with 10 to find the measure of the bigger angle. 8x10=80, so the larger angle is 80°.
Answer:
Step-by-step explanation:
Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:
and cross multiply to get
4sin55 = 3.5sinx and solve for sinx:
so
sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle
x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°
Answer:
11) 49 in.²
13) 4.515 m²
Step-by-step explanation:
11) area of square = (side)²
area = (7 in.)² = 7 in. × 7 in. = 49 in.²
13) area of triangle = base × height/2
area = 4.3 m × 2.1 m / 2 = 4.515 m²
Answer:
Find out the what does the value 500 represent in this situation .
To prove
As given
The amount of money in a savings account after t years is represented by the function.
Exponential function for amount is given by .

Wher a is the initial value, r is the rate in decimal form and t is the time.
Compare the functions
and

Thus a = 500
Therefor $500 is the initial value .