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SpyIntel [72]
3 years ago
9

4. Find the surface area of a triangular prism with height 30 inches, and a right triangle base with side lengths 15 inches and

20 inches, and hypotenuse length
25 inches
O A 1950 in.
B. 2100 in.?
C. 2400 in.
D. 2800 in.?
Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

Answer:

The answer would be B.2100

Step-by-step explanation:

To find the surface area of a triangular prism, first find the lateral area. The lateral area is the product of the perimeter of the base and the height. The perimeter of the base is 15 in.+20 in.+25 in.=60 in., so the lateral area is 60 in.⋅30 in.=1800 in.2. The surface area of any prism is the lateral area plus the base area. Because each base is a right triangle, the area of each base is 12bh. Because the legs of the right triangle are perpendicular, you can use one of them as the base and one as the height. So, the base area is 12⋅20 in.⋅15 in.=150 in.2. There are two bases, so the surface area is 1800 in.2+150 in.2+150 in.2=2100 in.2.

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Step-by-step explanation:

Is 289 closer to 300 or 200?


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A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is
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5 0
2 years ago
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What are the roots to<br> the equation<br> 2x² + 6x-1=0?
lys-0071 [83]

Answer:

The roots of  equations are as m =  \frac{-3}{2} + \frac{\sqrt{11} }{2}  And n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}    

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = \frac{ - b}{a}

And products of roots = \frac{c}{a}

So, m + n = \frac{ - 6}{2} = - 3

And m × n =  \frac{ - 1}{2}

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 (\frac{ - 1}{2})

Or, (m - n)² = 9 + 2 = 11

I.e m - n = \sqrt{11}

Again m + n = - 3    And m - n = \sqrt{11}

Solving this two equation

(m + n) + ( m - n) = - 3 + \sqrt{11}

I.e 2 m =  - 3 + \sqrt{11}

Or, m = \frac{-3}{2} + \frac{\sqrt{11} }{2}

Similarly n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}      

Hence the roots of  equations are as m =  \frac{-3}{2} + \frac{\sqrt{11} }{2}  And n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}      Answer

6 0
3 years ago
You use a wedge that has a width of 2 cm and a slope length of 5.5 cm. What is the mechanical advantage of this wedge?
PIT_PIT [208]

Answer:

Option B. 2.75

Step-by-step explanation:

It has been given in the question that a wedge has a width of 2 cm and a slope of 5.5 cm.We have to calculate the mechanical advantage of the given wedge.

We know the formula to calculate the mechanical advantage of the wedge

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Therefore the answer is option B. 2.75


6 0
3 years ago
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