<u>Given</u>:
Given that the length of the two legs of the right triangle are 28 m and 45 m.
We need to determine the length of the hypotenuse.
<u>Length of the hypotenuse:</u>
The length of the hypotenuse can be determined using the Pythagorean theorem.
Thus, we have;

Simplifying, we get;


Taking square root on both sides, we get;


Thus, the length of the hypotenuse is 53 m
Hence, Option C is the correct answer.
Answer:
x = 40.
Step-by-step explanation:
The corresponding sides are in the same proportion so:
45/ 27 = 30/18 = x/24
Consider the last 2 fractions:
30/18 = x/24
5/3 = x/24 Cross multiply:
3x = 5 * 24
x = 120 / 3
x = 40.
Answer:
Step-by-step explanation:
Given
ET = 120 V
, R = 30 Ω,
XL = 40 Ω.
To find = IR=?
as in circuit inductor and resistor are parallel so ET =EL = ER = 120V
IR = current through resistor = IR = ER/ R
= 120V /30Ω.
= 4 ampere.
Answer:
The slope of the line is -3.
Step-by-step explanation:
The slope equation is:
m= y2-y1/x2-x1
In this case:
m= -3-6/2+1 (remember that a negative minus a negative gives you a positive)
Which equals:
m=-9/3
Divide and you get -3.