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Brums [2.3K]
3 years ago
9

PLEASE HELP! WILL GIVE 70 POINTS!!

Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

A=189\ mm^2

Step-by-step explanation:

<u>Surface Areas </u>

Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.

Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is

\displaystyle A_t=2*\frac{b.h}{2}=b.h=(4.5)(6)=27 mm^2

The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus

A_f=b.h=(7.5)(9)=67.5 \ mm^2

The back left area is another rectangle of 4.5 mm by 9 mm

A_l=b.h=(4.5)(9)=40.5  \ mm^2

Finally, the back right area is a rectangle of 6 mm by 9 mm

A_r=b.h=(6)(9)=54 \ mm^2

Thus, the total surface area of the prism is

A=A_t+A_f+A_l+A_r=27+67.5+40.5+54=189\ mm^2

\boxed{A=189\ mm^2}

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AleksandrR [38]

The graph is continuous.A viable solution is (10, 50) at the function t = c + 40.

The complete question is given below:-

The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and then adding 40. The equation t = c + 40 models the relationship between the temperature and the number of cricket chirps. What is true about the graph that represents this real-world scenario? Check all that apply.

<h3>What is a graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph is continuous.

A viable solution is (10, 50).

t = c + 40

The given equation is

t = c + 40

This equation models the relationship between the temperature and the number of cricket chirps.

Where is the temperature in degrees Fahrenheit and is the number of cricket chirps heard in 14 seconds?

According to the problem, the temperature can be found by counting the number of cricket chirps heard in 14 seconds and then adding 40.

Now, the choices to this question are

The graph is continuous.

All values of t must be positive.

A viable solution is (–2, 38).

A viable solution is (0.5, 40.5).

A viable solution is (10, 50).

The graph of the given equation is attached, it shows the linear relationship between both variables.

Notice that the graph is continuous, it doesn't have any restriction, nor "emptiness" at certain values.

Observe that the remaining choices are all solutions to the equation, but not all of them are viable because the number of cricket chirps must be positive and integer because we can't hear the sound of 0.5 cricket.

Therefore, the last choice is viable (10, 50).

To know more about graphs follow

brainly.com/question/25020119

#SPJ1

6 0
1 year ago
ANSWER AND I WILL DO YOU A FAVOR!!!!
Sonja [21]
T=21+4.5X

21 is the original temp.

4.5 is the constant rate I got when I subtracted 75-21=54 then divided 54/12min=4.5.

75 =21 + 4.5(12)
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