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Aliun [14]
4 years ago
5

A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters a

nd 12 centimeters. The distance between the bases is 10 centimeters.
What is the surface area of the triangular prism?
Mathematics
2 answers:
IgorLugansk [536]4 years ago
7 0
We compute for the surface area of the triangular prism by the adding the areas of the bases and the sides. There are two triangles and the areas will be,
                              A = 2 (1/2)(9 cm)(12 cm) = 108 cm²

There are three sides which are in rectangular shape.
                               A1 = (10)(12) = 120 cm²
                               A2 = (10)(9) = 90 cm²
                               A3 = (10)(15) = 150 cm²

The sum of these areas is 468 cm². 
Diano4ka-milaya [45]4 years ago
4 0

Answer :

468 cm^2 On edg

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1. Describe the transformations necessary to transform the graph of
lana66690 [7]

Answer:  

- The function f(x) must be shifted right 1 unit.

- The function f(x)  must be shifted up 4 units.

- The function f(x)  must be stretched vertically by a factor of 3.

Step-by-step explanation:

There are some transformations for a function f(x):

If f(x)+k, then the function is shifted up "k" units.

If f(x)-k, then the function is shifted down "k" units.

If f(x+k), then the function is shifted left "k" units.

If f(x-k), then the function is shifted right "k" units.

If bf(x) and b>1, then the function is stretched vertically by a factor of "b".

If bf(x) and 0, then the function is compressed vertically by a factor of "b".

In this case we have the following parent function f(x) :

f(x)=x^2

And the function g(x):

g(x) = 3(x - 1)^2 + 4

Based on the explained before, we can describe  the transformations necessary to transform the graph of f(x)  to the graph of g(x) :

- The function f(x) must be shifted right 1 unit.

- The function f(x)  must be shifted up 4 units.

- The function f(x)  must be stretched vertically by a factor of 3.

6 0
3 years ago
Can someone help answer this
Sergio039 [100]

Answer:

968 - 744 = 224

Step-by-step explanation:

if Fatima's lettuce broccoli and peas all weigh 968 grams when weighed together and her lettuce and broccoli way 744 grams, as shown in the photo, when weighed together you would subtract the weight of the lettuce and broccoli from the weight of the peas, lettuce, and broccoli together.

you would then get 224 as your answer. your number sentence then should be:

968 - 744 = 224

4 0
3 years ago
Read 2 more answers
Triangle FGH, with vertices F(2,-8), G(7,-7), and H(6,-4), is drawn inside a rectangle, as shown below.
Semmy [17]

The area of the triangle FGH is 13√10 unit²

Given,

The vertices;

F(2, -8), G(7, -7), H(6, -4)

We have to find the area of the triangle.

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG = \sqrt{(7-2)^{2} =(-8--7)^{2} }  = \sqrt{5^{2}+1^{2}  }  = \sqrt{25+1} = √26

Length of GH = \sqrt{(-7--4)^{2}+(7-6)^{2}  } = \sqrt{-3^{2}-1^{2}  } = \sqrt{9+1} = √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle FGH = 1/2 × √10 × √26²

Area of triangle FGH = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH is 13√10 unit²

Learn more about triangle here;

brainly.com/question/12949215

#SPJ1

5 0
1 year ago
Evaluate -8x+5-2x-4+5x
juin [17]

Answer:

The value of the expression is - 9.

Evaluating the expression before simplifying is preferred because you only have to substitute once instead of substituting three times.

Step-by-step explanation:

x = 2

- 8x + 5 - 2x - 4 + 5x

= - 8x - 2x + 5x + 5 - 4

= - 10x + 5x + 1

= - 5x + 1

= - 5 ( 2 ) + 1

= - 10 + 1

= - 9

3 0
3 years ago
Reply? 8a+14a+27a-5a=
Viefleur [7K]

Answer:

44a

Step-by-step explanation:

Because there is no variable other than a, this problem is relatively simple.

1. 8a + 14a = 22a

2. 22a + 27a = 49a

3. 49a - 5a = 44a

3 0
3 years ago
Read 2 more answers
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