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FinnZ [79.3K]
4 years ago
14

Find the total surface area of these triangular prisms -

Mathematics
1 answer:
yuradex [85]4 years ago
3 0

Answer:

1. S = 184cm^2

2. S = 1446 cm^2

Step-by-step explanation:

In order to calculate the surface area you take into account the five faces of a triangular prism. You calculate the area of two rectangle triangle, and three rectangles. This can be summarized in the following formula:

S=\frac{1}{2}hw+\frac{1}{2}hw+hl+sl+wl\\\\S=hw+(h+s+w)l

h: height

w: width

s: slope

l: length

1. By replacing you obtain:

S=(6cm)(4cm)+(6cm+10cm+4cm)(8cm)=184cm^2

2.

S=(18cm)(7cm)+(18cm+30cm+7cm)(24cm)=1446cm^2

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Dahasolnce [82]
7/44.94=0.15.

Hope that helped!
4 0
3 years ago
Please help me I really need this one
sergiy2304 [10]

Answer:

The answer is 48^2cm

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Form quadratic functions given the following information:
nignag [31]

Answer:

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

or

f(x)=-\frac{4}{7}(x^2-6x+7)

Step-by-step explanation:

we have

f(3+√2 )=f(3− √2 )=0

so

x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation

The quadratic equation in factored form is equal to

f(x)=a(x-x1)(x-x2)

substitute

f(x)=a(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Find the value of the coefficient a

Remember that

f(1)=−8

so

For x=-1 -----> f(x)=-8

substitute

-8=a(-1-(3+\sqrt{2}))(-1-(3-\sqrt{2}))

solve for a

-8=a(-4-\sqrt{2}))(-4+\sqrt{2}))

apply difference of squares

-8=a(14)

a=-\frac{4}{7}

therefore

f(x)=-\frac{4}{7}(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

simplify

Applying distributive property

f(x)=-\frac{4}{7}(x^2+\sqrt{2}x-3x-\sqrt{2}x-2+3\sqrt{2}-3x-3\sqrt{2}+9)

f(x)=-\frac{4}{7}(x^2-6x+7)

5 0
4 years ago
You are taking a multiple-choice test that has 5 questions. Each of the questions has 3 answer choices, with one correct answer
Anna11 [10]

Answer:

243

Step-by-step explanation:

Whe you have a result of several possible combinations you must put the number (in this case) of possibilities (3) to the number of quantities (5), another example would be a dice (6 options) two dices (36 options) and so on.

4 0
4 years ago
PLEASE HELP ME!!! :) Which of the following coordinate points is a solution to the equation y = -2 x + 1?
nirvana33 [79]
Its D i did this test :)
8 0
3 years ago
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