<u>Given</u>:
Given that JKL is a right triangle.
The measure of ∠L is 90°
The length of JL = 24, LK = 7, and KJ = 25.
We need to determine the value of sine of ∠K.
<u>Value of sin ∠K:</u>
The value of sin ∠K can be determine using the trigonometric ratio.
Thus, we have;

Substituting
, the side opposite to angle K is JL and the hypotenuse is JK
Thus, we have;

Substituting JL = 24 and JK = 25, we get;

Simplifying, we get;



Thus, the measure of sine of ∠K is 73.74°
Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
Answer:
9.375 grams
Step-by-step explanation:
30 days = 3(10 days)
m = 75·0.5³ = 9.375 grams
Answer:
? = 56.
Step-by-step explanation:
In the problem, the side 20 corresponds to side 32 and side 20 + 35 corresponds to side 32 + ?.



? + 32 = 8 * 11
? + 32 = 88
? = 56.
Hope this helps!
Answer:
2*2*9+4*12*3=36+144=180
Step-by-step explanation: