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lilavasa [31]
3 years ago
12

In the figure below, the two triangular faces of the prism are fight triangles with sides of length 3, 4, and 5. The other three

faces are rectangles. What is the surface area of the prism. 84 sq. units 96 sq. units 108 sq. units 72 sq. units
can someone please explain how to get the awnser...

Mathematics
1 answer:
olasank [31]3 years ago
6 0
The figure of the prism is attached below.

The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.

Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.

Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units

There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.

So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units

The Surface Area of the prism will be:

Surface Area = 2 (4) + 72 = 84 square units

Thus the correct answer is option A

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The number of views on an interesting video after it's uploaded is represented by the following table:
defon

Answer:

The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data is ,V(t)=50(6.25)^t

Step-by-step explanation:

Time (months)         Views

0                                  50

2                                  313

4                                  1950

6                                  12,210

8                                  76,300

10                                 476,800

(x_1,y_1)=(0,50)\\(x_2,y_2)=(2,313)\\(x_3,y_3)=(4,1950)

Slope = \frac{y_2-y_1}{x_2-x_1}

Slope = \frac{313-50}{2-0}

Slope =131.5

Slope = \frac{y_3-y_2}{x_3-x_2}

Slope = \frac{1950-313}{4-2}

Slope =818.5

Since the slope is not same . So, it is not a linear relationship

\frac{y_2}{y_1}=\frac{313}{50}=6.25\\\frac{y_3}{y_2}=\frac{1950}{313}=6.25

Since the ratio between the consecutive outputs is same so, it is exponential relationship.

Formula : y=ab^t

Where a is the initial value = 50

b = rate of change = 6.25

The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data

So,V(t)=50(6.25)^t

5 0
3 years ago
PLZZZ HELP ASAP STAT
Alenkasestr [34]

Step-by-step explanation:

see attached. I hope this helps.

7 0
3 years ago
Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with same number of each thing in each b
pishuonlain [190]

Answer:  6 snack bags.

Step-by-step explanation:

For this exercise it is important to remember the Greatest Common Divisor (GCD). This is defined as  the largest positive intener by which  you can divided evenly "n" numbers.

In  this case, you know that Jane has  18 juice boxes, 24 bags of peanuts and 36 apples. Therefore, the steps are the following:

1. You need to descompose 18, 24 and 36 into their prime factors, as below:

18=2*3*3=2*3^2\\\\24=2*2*2*3=2^3*3\\\\36=2*2*3*3=2^2*3^2

2. Now you must choose the common ones with the smallest exponent and multiply them.

Then, you get:

GCD=3*2\\\\GCD=6

Therefore, the greatest number of snack bags that Jane can make is:  6 snack bags.

8 0
3 years ago
What is the standard form of y=3/8x-4
Gennadij [26K]
(-3/8)x+y=(-4), standard form formula is ax +by = c. So you just move them to the correct sides by adding or subtracting.
3 0
3 years ago
Plz, help me with this question!
Hatshy [7]

Answer:

A. 24

Step-by-step explanation:

Angles in a triangle add up to equal 180

Thus, 66 + 90 + x = 180

66 + 90 = 156

156 + x = 180

180 - 156 = 24

Hence, x = 24

Note: There is a right angle indicated by the square inside of the triangle. A right angle has a measure of 90 degrees. So Just in case you were wondering that's where the 90 cam from

5 0
3 years ago
Read 2 more answers
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