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stiv31 [10]
2 years ago
9

what is the length of sides in inches of an equilateral triangle having an included cirle of 60 inches

Mathematics
1 answer:
Anastasy [175]2 years ago
3 0
I assume 60 is the circumference of the circle.
if you sketch the graph, you will see that the radius from the center to the base, half the base, and the line segment form the center to one of the bottom vertex form a 30-60-90 degree triangle, the shortest leg is the radius of the circle, r.
the longer leg is √3r, and the hypotenuse is 2r.
the base of the triangle is 2√3r. 
find r: 2πr=60, r=60/2π
2√3r=2√3*60/(2π)=60√3/π=33
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Please answer asap it's summer homework <br><br> Find the surface area of the prism.
Basile [38]
1. Area of triangle
1/2(10)(12)=60
There are two triangles, so multiply by 2
=120

2. Find area of the rectangles
This is an isosceles triangle, so the two rectangles are congruent
(2)(13)(3)=78

3. Find area of bottom rectangle
10(3)= 30

4. Add everything up
120+ 78 + 30= 228

Therefore the surface area of this prism is 228

I hope i helped :)
3 0
3 years ago
NEED HELP ASAP! <br><br> What is the value of x? <br><br><br><br> x =
rjkz [21]

The Intersecting Secant Theorem says

EC × ED = EB × EA

(x+4)(x+4+1) = (x+1)(x+1+11)

(x+4)(x+5)=(x+1)(x+12)

x^2 + 9x + 20 = x^2 + 13 x + 12

8 = 4x

x = 2

Check:

6(7)=42

3(14)=42, good

Answer: 2

7 0
3 years ago
Tony needs to create a platform shaped like the diagram with the labeled dimensions.
konstantin123 [22]
<h2>135 cubic feet of concrete are required to create the platform.</h2>

Step-by-step explanation:

The dimension of lower step is 6 ft× 3 ft× 1.5 ft

and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft

Therefore concrete are required to make lower step = (6×3×1.5) cubic feet

                                                                                       = 27 cubic feet

and concrete are required to make upper step = (6×6×3) cubic feet

                                                                               =108 cubic feet

<h3>∴(108+27) cubic feet = 135 cubic feet of concrete are required.</h3>

8 0
3 years ago
Read 2 more answers
7+a=10;3,13,17 branlest
Assoli18 [71]

Answer:

ok

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Pls help with this question
Talja [164]

Answer:

point A is x=4 and y=12

point B is x=16 and y=32

6 0
2 years ago
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