Answer:
8.212°
Step-by-step explanation:
Hypotenuse^2=base^2+perp^2
(8)^2=(7)^2+(perp)^2
64=49+(perp)^2
64/49=perp^2
1.306=perp^2
Now taking sq root on both sides
Perp=√1.306
Perp=1.142
Sin C=opposite/hypotenuse
Sin C=1.142/8
Sin C=0.14285
C=Sin^-1 0.14285
C=8.212°
Answer:

Step-by-step explanation:
we have

step 1
Solve (90+1)

step 2
Solve 0.0698(91)

step 3
Solve sin (6.3518)

step 4
Solve 105(0.11063)

step 5
Solve 11.616 + 105

Answer:
Perimeter: 18 ft
Height: 7 ft
Base Area: 12
Surface Area: (7)*(8) + 2(47) = 150
Step-by-step explanation:
To find the perimeter add all the edges together.
5 + 5 + 8 = 18
To find the height look at the diagram. 7ft shows the height of the rectangle and thus is the height for the rest of the shape.
Base Area:
Multiply the length (8ft) of the base by the height of the base (3ft)
8 * 3 = 24
Then divide by 2 to get the total area of the triangle
24 / 2 = 12.
Surface Area:
To find the surface area you to need to find the specifics of each side.
The base area we already solved for which is 12. We'll get back to this in a minute. The other double sides are of 5 * 7. That equals 35. Add together 12 + 35 to get 47. That is what will go in the 2(___) box because both of those sides have 2. It is the same number when done this way versus just adding them up.
47 * 2 = 94
12 + 12 + 35 + 35 = 94
Then for the (___)(___) that would be 7ft * 8ft because it is the only side left and does not have a double so it must be separate.
7 * 8 = 56
56+94 = 150
Answer:
(1, 3 )
Step-by-step explanation:
To find a solution to the equation.
Rearrange making y the subject by subtracting 6x from both sides
Given
6x + y = 9, then
y = 9 - 6x
Substitute any value of x into the equation and solve for y to obtain a solution
x = 1 → y = 9 - 6(1) = 9 - 6 = 3
Thus (1, 3) is a solution to the equation
3W+6R=210
For R:25
3W+6(25)=210
3W=150=210
3W=60
W=30