Answer:
108
Step-by-step explanation:
if the width of the rectangle is 8, and the triangle is on the width of the rectangle, then the base of the rectangle is 8. the height is 7, so we use the formula area = height * base / 2 to find that the area of the triangular portion is 28. then, we find the area of the rectangle by doing 10 * 8(height * width) for a value of 80. the total area of the front of the house is 28 + 80: 108.
Answer:
C. 120
Step-by-step explanation:
The figure shows that angles BEC and KEC are congruent. Their measures are equal.
m<KEC = m<BEC
10x = 6x + 24
4x = 24
x = 6
m<BEK = 2m<KEC
m<BEK = 2 * 10x
m<BEK = 2 * (10)(6)
m<BEK = 2 * 60
m<BEK = 120
The value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
The current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms.
As we know,
V = IR
V = (3 + j2)(4 - j3)

j² = -1 (complex part)
After simplification:
V = 18 - j volts
Thus, the value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ1
Answer:
Step-by-step explanation:
<u>The scale factor is </u>
- 1 : 9.5×10²⁰ as we make our galaxy as small as 1 m.
<u>The distance to Andromeda would be:</u>
- 2.4×10²² * 1/9.5×10²⁰ =
- 2.4/9.5×10²²⁻²⁰ =
- 0.25×10² =
- 25 m
Answer:
2
Step-by-step explanation:
Using the rule of logarithms
x = n ⇒ x = 
let
8 = n ⇒ 8 =
, that is
2³ =
( equate exponents )
n = 3
and let
(
) = n ⇒
=
, that is
=
( equate exponents )
n = - 1
then
8 +
(
)
= 3 + (- 1)
= 3 - 1
= 2