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3 years ago

Find the surface area of the right prism. Round to the nearest whole number.

Mathematics

1 answer:

andriy [413]3 years ago

5 0

Answer:

$\large\boxed{S.A.=96\ cm^2}$

Step-by-step explanation:

We have:

(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm

(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

Substitute:

$A=\dfrac{7+5}{2}\cdot4=24\ cm^2$

Calculate the areas of the rectangles:

$A_1=(3)(7)=21\ cm^2\\\\A_2=(3)(4)=12\ cm^2\\\\A_3=(3)(5)=15\ cm^2$

The Surface Area:

$S.A.=(2)(24)+21+12+15=96\ cm^2$

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Don works in home construction. He determined that the function t(A)=144A/9.252 gives the total number of 9 in. tiles needed to

Oksanka [162]

Answer:

6,226 tiles of 9 in are needed to cover an area of 400 square feet

Step-by-step explanation:

Let

A -----> an area in square feet

t(A) ---> the total number of 9 in. tiles needed

we have

$t(A)=\frac{144A}{9.252}$

For A=400 ft^2

substitute in the equation and solve for t

$t(400)=\frac{144(400)}{9.252}$

$t(400)=6,226\ tiles$

That means -----> 6,226 tiles of 9 in are needed to cover an area of 400 square feet

6 0

3 years ago

How do you subtract a whole number and a mixed fraction

fredd [130]

Answer:

"The easiest way would be to turn the whole number into a fraction so for instance if the number was 2 it would become 16/8. You can then easily subtract 16/8 from 1/8 which would equal -15/8"(//answers.yahoo.com/).

Step-by-step explanation:

(//answers.yahoo.com/)

5 0

3 years ago

Find the regression line associated with the set of points. (Round all coefficients to four decimal places.) HINT (See Example 2

horrorfan [7]

The equation of the regression line is : Ŷ = 0.8571+0.8878X

Given the set of points :

(1, 2), (4,4), (9,9)

X axis : ___ Y axis

1 ___________2

1 ___________2 4 __________ 4

1 ___________2 4 __________ 4 9 __________ 9

The regression line associated could be obtained using technology such as excel, linear regression solvers or a graphing calculator.

Using technology :

Input the values of X and Y into their appropriate column and plot :

The regression equation obtained is :

Ŷ = 0.8571 + 0.8878X

Where :

Ŷ = predicted value of Y(dependent variable)

X = Independent variable

Slope = 0.8878

Intercept = 0.8571

The regression plot is attached below

Learn more : brainly.com/question/18405415?referrer=searchResults

7 0

2 years ago

12 more than 8,2 times a number n

Sholpan [36]

Answer: 12+8.2n

Step-by-step explanation: Your basically adding 12 to 8.2 times n.

6 0

3 years ago

In her metalwork class, Anja cut a square of

Paul [167]

Given:

Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.

To find:

The area of the remaining tin.

Solution:

Area of a square is:

$Area=a^2$

Where, a is the edge of the square.

Area of the smaller square is:

$A_1=(3.7)^2$

$A_1=13.69$

Area of the larger square is:

$A_2=(6.3)^2$

$A_2=39.69$

The area of the remaining tin is:

$A=A_2-A_1$

$A=39.69-13.69$

$A=26$

Therefore, the area of the remaining tin is 26 sq. cm.

8 0

3 years ago