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Studentka2010 [4]
2 years ago
9

Identify the properties of equality needed to isolate a varaible and solve a given equation. Use the drop-down menus to show you

r answer.
Mathematics
1 answer:
Anna71 [15]2 years ago
4 0

Answer:

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.

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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
What is the circumference of a circle with an area of 50.24? Use 3.14 for pi.
kow [346]

Answer:

The answer is 200.96 cm^2.

2*3.14*r=50.24

=>r=50.24/6.28

=>r=8 cm

Thus area = 3.14*r*r

= 3.14*8*8

=200.96 cm^2

Step-by-step explanation:

4 0
3 years ago
Find the volume of the triangular prism.
goldfiish [28.3K]

Answer:

V = 31.5 in ^3

Step-by-step explanation:

The volume is Bh

The base is the triangle

B = 1/2 (7) *2

B = 7 in^2

Now find the volume

V = 7* 4.5

V = 31.5 in ^3

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3 years ago
7% decimal round to the thousands place
nataly862011 [7]
If you put 7% into a decimal it would be 0.07 
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3 years ago
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