Answer:
AC ≈ 12.9 cm
Step-by-step explanation:
Using the ratio
sin40° = 
Multiply both sides by 20
20 × sin40° = b, hence
AC = b = 20 × sin40° ≈ 12.9
The future value of cash whose initial value is $845, at the rate of 11.3% for 7 years will be calculated using the compound interest rate, that is:
A=p(1+r/100)^n
where:
A=future amount
r=rate=11.3%=0.113
time=7 years
thus the future value of our cash will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82
|x|=absoulte value of x which means whatever x is, make it positive
so first solve any division/multiplication
the only one is 12/46=6/23
so we do the absoulte value signs
-3+45-(-14)
-(-14)=+14
-3+45+14=56
absoulute value of 56=56
56+(-|-87+6/23|)
-87+6/23=-86 and 17/23
absoulte value of -86 and 17/23=86 and 17/23
there is a negative sign in front of the absoulte vaulue so make it negative
56-86 and 17/23=-30 and 17/23 or about -30.73913
Answer:
300%
Step-by-step explanation:
Given
Required
Find the percentage change in y when x decreased by 50%
First, convert to equation
Where k is the constant of proportionality
When x decreased by 50%
Expand
Substitute 
for y
The percentage change is then calculated as:
<em>The percentage in y is 300%</em>
Answer:
Ques 1) 1440°
Ques 2) 4000
Ques 3) 33
Step-by-step explanation:
Ques 1)
The sum of the measures of the angles in degrees of a polygon with 'n' sides is given by: 180×(n - 2).
Now we have to find the sum of the measures the angles of a polygon with 10 sides.
i.e. n=10
Hence the value of the expression 180×(n-2) when n=10 is given by:
180×(10-2)=180×8=1440.
Hence, the sum of measure of the angles of a polygon with 10 sides is: 1440°.
Ques 2)
The Expression 500v gives the number of points a player earns for completing v voyages in video game.
We are asked to find the number of points earned for completing 8 voyages.
i.e. v=8 the value of 500v will be 500×8=4000.
Hence, 4000 points are earned for completing 8 voyages.
Ques 3)
we have to find the value of the question as given in the figure:
7x+y+16 for x=2 and y=3.
Hence, we find the value of the expression:
7×2+3+16=33.
Hence, the value of the expression is 33.
