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Vladimir [108]
3 years ago
8

Btw the bit at the top thats cut off says fence is 15

Mathematics
1 answer:
solmaris [256]3 years ago
5 0

Answer:

47.4 pounds

Step-by-step explanation:

First, find the height of the trapezoid. Draw the height DE. Quadrilateral ABED is a rectangle, then BE = 12 cm. Since BC = 20 cm, then EC = 20 - 12 = 8 cm.

Consider right triangle DEC. By the Pythagorean theorem,

DE^2+EC^2=CD^2\\ \\DE^2+8^2=17^2\\ \\DE^2=289-64\\ \\DE^2=225\\ \\DE=15\ cm

The area of the trapezoid ABCD is

A=\dfrac{AD+BC}{2}\cdot DE=\dfrac{12+20}{2}\cdot 15=16\cdot 15=240\ cm^2

One can cover 100\ cm^2, then it is needed

\dfrac{240}{100}=2.4 cans

One can costs 19.75 pounds, then 2.4 cans cost

19.75\cdot 2.4=47.4 pounds

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The points J (-13,10) and K(-1,-6) are endpoints of a diameter of circle G. What is the equation of circle G?
In-s [12.5K]
The correct answer is D

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.

To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y

-13 + -1 = -14
-14/2 =-7

10+ -6 = 4
4/2 = 2

therefore (h,k) = ( -7, 2 )

Next plug these values in the equation of a circle

(x-h)^2 + (y-k)^2 = r^2

becomes

(x- (-7)) ^2 + (y-(2)) ^2 = r^2

to find r, use the distance formula to find the length of the diameter, 20, and divide by 2


plug 10 in for r and you get 100

(x+7)^2 + (y-2)^2 = 100

sorry for the late response
7 0
3 years ago
Read 2 more answers
Number 6. 1 moreee im stuck helpp
Andreyy89
B. V = (26.6)(4.6)
26.6 = l * w
7 0
3 years ago
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Can someone please help me with this question and show the steps?
Katena32 [7]
<h2>Answer:</h2>

D. \ 408in^2

<h2>Step-by-step explanation:</h2>

This is a square pyramid because it's a solid having a square base. The point up the pyramid is called the apex and is directly above the middle of the square base. The surface area of a solid is the total area of its outer surface. If we unfold this pyramid, we'll get one square and four identical triangles. So the surface are can be calculated as follows:

s=s_{square}+4s_{triangle}

FOR THE SQUARE:

s_{square}=L^2 \\ \\ L=12in \\ \\ s_{square}=12^2=144in^2

FOR THE TRIANGLE:

s_{triangle}=\frac{bh}{2} \\ \\ b=12in \\ h=11in \\ \\ s_{triangle}=\frac{12\times 11}{2}=66in^2

Finally:

s=s_{square}+4s_{triangle} \\ \\ s=144+4(66) \\ \\ s=144+264 \\ \\ \boxed{s=408in^2}

7 0
3 years ago
88,999 rounded to the nearest ten thousand
aleksandr82 [10.1K]
89,000 is it for ur question
4 0
3 years ago
Read 2 more answers
The measure of a base isosceles triangle is 43? what is the measure of the vertex angle
Anestetic [448]

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

4 0
3 years ago
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