Answer:
The answer is 24
Step-by-step explanation:
suppose 4:4:7 be 4x, 4x, 7x
or, 15x = 180°
or, X = 180/15
or, X = 12
therefore,
4x = 4x12= 48
4x= 4x12= 48
7x= 7x12= 84
so if you plus all of them you get 180
Answer:
Option 4 is correct
Step-by-step explanation:
If the rate is compounded continuously, the formula used to find the future value is:
A= Pe^rt
Where A = Future Value
P= Principal amount
r = interest rate in decimal
t = time
For the given data:
A=?
P = $5000
r = 7% or 0.07
t = 6
Putting values in the above formula
A= 5000e^(0.07 *6)
A = 7609.81
So, Option 4 is correct.
Answer:
The first answer: 390m The second answer: x = 7; m<1 = 17; m<2 = 73
Step-by-step explanation:
First problem:
It's asking for the distance he walks by walking around a rectangular box which is the perimeter.
Two of the sides will have length 115m and two will have length 80m. So this perimeter is 115 + 115 + 80 + 80 = 390m.
Second problem:
Complementary angles add to 90 degrees. So m<1 and m<2 added together will equal 90
-4x +45 + 7x + 24 = 90
3x + 69 = 90
3x = 21
x= 7.
Plug back x into both m<1 and m<2 to find the measure of the angles.
m<1 = -4(7) + 45 = 45-28 = 17
m<2 = 7(7) + 24 = 49 + 24 = 73
