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Kipish [7]
2 years ago
11

Subtract and write your answer as a mixed number 9 4/5 - 7 1/2

Mathematics
1 answer:
viktelen [127]2 years ago
7 0
The answer is 2 3/10
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1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang
Mandarinka [93]
1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythegorean theorem, as shown in the picture, the height is \frac{ \sqrt{3} }{2} a

2. if a a=25 ft, then the height is \frac{ \sqrt{3} }{2} a=\frac{ \sqrt{3} }{2} *25= \frac{1.732}{2}*25= 21. 7 (ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is 2*( \frac{1}{2} *a* \frac{ \sqrt{3} }{2}a )=\frac{ \sqrt{3} }{2} a^{2}

so the total area of the roof is \frac{ \sqrt{3} }{2} a^{2} +3al

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al


5. so the area now is \frac{ \sqrt{3} }{2} a^{2} +2al

6. now a=25 and l=2a=50

Area=\frac{ \sqrt{3} }{2} a^{2} +2al=\frac{ \sqrt{3} }{2} * 25^{2}+2*25*50=25 ^{2}  (\frac{ \sqrt{3} }{2} +4)=625*4.866

=3041.3 (ft squared)

7 0
3 years ago
Read 2 more answers
2/7 • 9 1/10<br> Please help
nordsb [41]
\frac{2}{7} * 9 \frac{1}{10} =  \frac{2}{7} *  \frac{91}{10} =  \frac{2~*~91}{7~*~10} =  \frac{182}{70} = 2 \frac{42}{70} = 2  \frac{3}{5}
3 0
2 years ago
Read 2 more answers
Find the focus.<br> x2 = 6y<br> A. (0, 3/2)<br> B. (0,6)<br> C. (0, -3/2)<br> D. (3/2,0)
IRISSAK [1]

Answer:

Step-by-step explanation:

its A

4 0
3 years ago
Help me pleaseeeeeeeeee
gayaneshka [121]
THE ANSWER IS A.....
7 0
3 years ago
In square PORS, side PO is parallel to side SR, and side PS is parallel to side QR. The square is reflected across the y-axis an
DiKsa [7]

The square is reflected but the part Ellen sides would remain the same as the starting location.


Side PO would be parallel to side PS. INCORRECT


Side PQ would be parallel to side SR. CORRECT


Side PS would be parallel to side QR. CORRECT

3 0
1 year ago
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