Answer:
Adjacent = 9.75 inches.
Step-by-step explanation:
Given the following data;
Hypothenus = 12 inches
Opposite = 7 inches
To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;
Hypothenus² = opposite² + adjacent²
Substituting into the formula, we have;
12² = 7² + adjacent²
144 = 49 + adjacent²
Adjacent² = 144 - 49
Adjacent² = 95
Taking the square root of both sides, we have;
Adjacent = 9.75 inches.
Therefore, the other leg is 9.75 inches.
Answer:
The equation in standard form is
2
3
x
−
y
=
7
.
Explanation:
The standard form for a linear equation is
A
x
B
y
=C
, where
A
,
B
,
and
C
are numbers, and
x
and
y
are variables.
y
=
2
3
x
−
7
Subtract
2
3
x
from both sides of the equation.
−
2
3
x
+
y
=
−
7
Multiply both sides by
−
1
.
2
3
x
−
y
=
7
A
=
2
3
,
B
=
−
1
,
C
=
7
The amount needed such that when it comes time for retirement is $2,296,305. This problem solved using the future value of an annuity formula by calculating the sum of a series payment through a specific amount of time. The formula of the future value of an annuity is FV = C*(((1+i)^n - 1)/i), where FV is the future value, C is the payment for each period, n is the period of time, and i is the interest rate. The interest rate used in the calculation is 4.1%/12 and the period of time used in the calculation is 30*12 because the basis of the return is a monthly payment.
FV = $3,250*(((1+(4.1%/12)^(30*12)-1)/(4.1%/12))
Answer:
5.58*10^7
Step-by-step explanation:
Recall that 10^a*10^b = 10^(a+b). Thus, 10^5*10^2 = 10^7.
Thus, (1.8 x 10^5)(3.1 x 10^2) = (1.8)(3.1)*10^7 = 5.58*10^7
Answer:
Angle 1=66
Step-by-step explanation:
Step 1, solve for angle 2
<2+123=180 degrees
Angle 2=57 degrees
Step 2, solve for angle 1
Since this is an isosceles triangle, to solve for angle 1, the equation is 2(57)+x=180
Angle 1=66 degrees
