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3 years ago

Find the surface area of the rectangle prism. 3cm 9cm and 6cm

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

6 0

Answer:

198 cm²

Step-by-step explanation:

We are given the dimensions of a rectangular prism;

3cm 9cm and 6cm

We are required to determine its surface area;

We need to know that;

Surface area of a rectangular prism is given by;

A = 2(WL+HL+WH)

Where L, W and H are length , width and height respectively;

Assuming;

Width is 3 cm

Length is 9 cm, and

Height is 6 cm

Then;

Area = 2 ( (3×9) + (6×9) + (3×6))

= 2(99)

= 198 cm²

Therefore, the area of the rectangular prism is 198 cm²

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3 years ago

Help please

cestrela7 [59]

The asymptotes of the reciprocal function are x = 3 and y = 4. Also, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4

<h3>How to determine the values of a, c, d and k?</h3>

The function is given as:

f(x) = -2[1/0.5(x -3)] + 4

A reciprocal function is generally represented as:

f(x) = a[1/(x -c)] + k

So, we have:

a = -2

c = -3 * 0.5

c = -1.5

k = 4

d = 0

Hence, the values of a, c, d and k are -2, -1.5, 0 and 4

<h3>The asymptotes</h3>

We have:

f(x) = -2[1/0.5(x -3)] + 4

Set the radical to 0

y = 0 + 4

Evaluate

y = 4

Set the denominator to 0

x - 3 = 0

Evaluate

x = 3

Hence, the asymptotes are x = 3 and y = 4

<h3>The graph of the function</h3>

See attachment for the graph of the function f(x) = -2[1/0.5(x -3)] + 4

The table of values is

x y

-4 4.6

-2 4.8

2 8

4 0

From the graph of the function, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4

Read more about functions at:

brainly.com/question/2328150

#SPJ1

7 0

1 year ago

(-2, 11) & (5,6) What is the slope of the equation between these two points?

ololo11 [35]

Answer:

$m =\dfrac{-5}{7}$

Step-by-step explanation:

Given :-

Two points (-2,11) and (5,6) .

And we need to find out the slope of the equation between the two points. The slope of the line passing through two points , is given by ,

$\implies Slope (m) =\dfrac{ y_2-y_1}{x_2-x_1}$

Here the two points are (-2,11) and (5,6) .So put on the respective values ,

$\implies Slope (m) =\dfrac{ 11 - 6}{-2-5}\\\\\implies Slope = \dfrac{5}{-7} \\\\\implies Slope = \dfrac{-5}{7}$

Hence the slope of the line is -5/7 .

8 0

2 years ago

Find the distance between the points given. (-10, 3) and (-10, 12)

aliina [53]

Answer:

Step-by-step explanation:

They both have -10 so just compare 3 and 12. Thats a difference of 9.

3 0

2 years ago

Read 2 more answers

Amy and rob each improve thier yards by pmanting rose bushes and ivy. They brought thier supplies from the same store. Amy spent

Rzqust [24]

Answer: cost of 1 pot of ivy = $12

Cost of 1 rose bush =$ 10

Step-by-step explanation:

Step 1

Let rose bushes be represented as r

and pot of ivy be represented as p

such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as

7 r + p = 82----- eqn 1

Rob who spent 74 on 5 rose bushes and 2 pots of ivy can be expressed as

5r +2 p = 74----- eqn 2

Step 2

Solving

7 r + p = 82----- eqn 1

5r +2 p = 74----- eqn 2

By elimination method Multiply eqn 1 by 5 and eqn 2 by 7

35r+ 5p= 410--- eqn 3

35r+ 14p =518--- eqn 4

Subtracting eqn 4 from eqn 3

9p = 108

p = 108/9

p=12

p = pot of ivy = $12

therefore rose bush wll be ( from equation 1)

7r+ p= 82

7r=82-12

7r= 70 r= 70/7

r= rose bush =$ 10

5 0

3 years ago