Answer:
(–5, 5)
Step-by-step explanation:
Start with the x-axis (left and right).
-5 so you go to the left by 5 steps.
Next is y-axis (up and down).
Without moving your spot in -5, you move up by 5 steps.
That is point F.
Tip: (x-axis, y-axis) or (left/right, up/down)
Negative number: Left or Down
Positive number: Right or Up
So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
To write .0487 as a percent, you have to remember that 1 equal's100% and what you need to do is.. multiply the number by 100 and add the symbol % .
.0487 * 100 = 4.87%
Answer:
- Cos 45=6/x
x=6/cos 45=6√2
x=6√2
tan 45=y/6
y=tan45 ×6
y=6
2.
sin 60=y/10
y=sin60×10
y=5√3
again
Cos 60=x/10
x=½×10
x=5
3.
Sin 45=x/5
x=1/√2×5 or
x=5√2/2
again
y=5√2/2 or 5/√2[base angle of right angled isosceles triangle]
4.
Sin 30=8/x
½×x=8
x=8*2
x=16
again
cos 30= y/x
√3/2×16=y
y=8√3
5.
sin 60=7/x
x=7/[√3/2]
x=14/√3 or 14√3/3
again
cos 60=y/x
½×14√3/3=y
7√3/2=y
y=7√3/2
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For volume of a prism, the general rule is multiply the area of the base by the area of the height. For example, for a triangular prism, the volume would be (1/2)b*h*a if you set a = height of the prism and h = height of the triangle from the formula (1/2)bh, which is the area of a triangle.