<h2>
Answer:</h2>
The values of sinθ and tanθ are:
and
<h2>
Step-by-step explanation:</h2>
It is given that:
where
i.e. the angle θ lie in the second quadrant.
Also, we know that in the second quadrant sine and cosecant function is positive.
whereas cosine,secant, tangent and cotangent functions are negative.
Now, we know that:
i.e. here
Hence, we have:
Also,
Now, on rationalizing we have:
Answer:
Three squares that form right triangle:
A, E and C
Step-by-step explanation:
Area of E = 1^2 = 1
Area of A = 2.4^2 = 5.76
Area of C = 2.6^2 = 6.76
Area A + Area E = Area C
Answer:
The answer to your question is 1.- (37/2, -9/2) 2.- g = 4 and h = 2
Step-by-step explanation:
Data
Equation 1 2x + 8y = 1
Equation 2 x = -3y + 5
Process
1.- Substitute equation 2 in equation 1
2(-3y + 5) + 8y = 1
Expand
-6y + 10 + 8y = 1
Solve for y
8y - 6y = 1 - 10
2y = -9
y = -9/2
2.- Substitute y in equation 2 to find x
x = -3(-9/2) + 5
Simplify
x = 27/2 + 5
x = 27/2 + 10/2
x = 37/2
Solution (37/2, -9/2)
2.-
Equation 1 6g + 8h = 40
Equation 2 -6g + 2h = -20
Process
1.- Add both equations
Result
0 + 10h = 20
Solve for h
h = 20/10
h = 2
2.- Substitute h in Equation 1 to find g
6g + 8(2) = 40
Simplification
6g + 16 = 40
Solve for g
6g = 40 - 16
6g = 24
g = 24/6
g = 4
Solution g = 4 and h = 2
Answer:
Amount Jerry earned is $5
Step-by-step explanation:
Jerry is paid $6 per hour.
First we need to find the number of hours he walked the dog.
From 6.40 am to 7.30 am we have 50 minutes. Jerry walked the dog for 50 minutes.
An hour has 60 minutes.
We need to find how much Jerry gets paid for a minute.
Amount paid for a minute = 
=$
Therefore,
Amount paid for 50 minutes = $ * 
minutes
=$
Problem Example :
Given: HF || JK; HG ≅ JG
Prove: FHG ≅ KJG
Answer: A. ∠FGH ≅∠KGJ because vertical angles are congruent.
