Since you need a little bit of trigonometry to solve this problem,
I'm pretty sure you've had a little bit of trigonometry in class before
you were assigned to solve this problem.
-- The shaded triangle comes from taking the equilateral triangle and
either folding it in half or cutting it in half.
-- The base that the new triangle is standing on is 1/2 the base of the
equilateral triangle, so it's 7 cm long.
-- The acute angle at the right end of the base is the same as it was in
the equilateral triangle . . . 60 degrees.
-- The tangent of 60 degrees is (opposite side)/(adjacent side) = x / 7 cm
tan(60) = x/7
-- Multiply each side of this little equation by 7 : 7 tan(60) = x
If you don't have the tangent of 60 degrees in your pocket, you can
find it with your calculator. Multiply it by 7, and Shazam, you know 'x' .
Answer:
y=-3/16(x-8)^2+12
Step-by-step explanation:
Refer to the vertex form equation for a parabola:
y=a(x-h)^2+k where (h,k) is the vertex.
Therefore, we have y=a(x-8)^2+12 as our equation so far. If we plug in (16,0) we can find a:
0=a(16-8)^2+12
0=64a+12
-12=64a
-12/64=a
-3/16=a
Therefore, your final equation is y=-3/16(x-8)^2+12
The expression for the area of the rectangular swimming pool is given as follows:
A = w² + 100w + 2100.
<h3>What is the area of a rectangle?</h3>
The area of a rectangle of length l and width w is given by the multiplication of these measures, that is:
A = lw.
In this problem, considering the width of 70 meters and a length of 30 meters, plus the floor of w meters, we have that:
Hence the area is given as follows:
A = l x wi = (30 + w)(70 + w) = w² + 100w + 2100.
More can be learned about the area of a rectangle at brainly.com/question/10489198
#SPJ1
Perpendicular means that you will flip and change sign in this case we have -3 when we flip it and change sign we will get 1/3
So,
First we have to find b:
2=1/3(3)+b
2=1+b
1=b
Second you just write your equation:
Y= 1/3x + 1
Hope it help sweetheart!!
Answer:
Step-by-step explanation:
a) Area of white square = side *side = 8 * 8 = 64 sq.mm
Area of 4 white square = 4 * 64 = 256 sq.mm
compound shape
length = 3 cm = 30 mm
Width = 2 cm = 20 mm
Area of compound shape = length *width = 30 * 20 = 600 sq.mm
Area of the shaded part of the compound shape =
Area of compound shape - Area of 4 white square
= 600 - 256
= 344 sq.mm
b) Perimeter of compound shape = 2*(length + width)
= 2*(30 +20)
= 2* 50
= 100 mm
