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2 years ago

Determine the volume of the rectangular prism.

Mathematics

2 answers:

dimaraw [331]2 years ago

8 0

Answer:

132in

Step-by-step explanation:

vodka [1.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

$v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132$

hope it helps

have a nice day

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An advertiser goes to a printer and is charged $73 for 100 copies of one flyer and $82 for 400 copies of a similar flyer. Assumi

USPshnik [31]

Answer:

y = 0.03x + 70

Slope here represents the variation in the charges with the change in the number of flyers

Positive slope means that the cost is increasing with increase in number of flyers

Step-by-step explanation:

Given:

for 100 copies advertiser is charged = $73

For 400 copies advertiser is charged = $82

Now,

here the charge is a function of number of flyers

we have the general line equation for a linear relationship as:

y = mx + c

here m is the slope

c is the constant

for the first case we have

y = $73

x = 100

thus,

73 = 100m + c ...........(1)

for the second case, we have

y = $82

x = 400

thus,

82 = 400m + c ...........(2)

subtracting (1) from (2)

82 = 400m + c

- ( 73 = 100m + c )

==================

9 = 300m + 0

m = 0.03

substituting the value of slope in equation (1)

73 = 100 × 0.03 + c

73 = 3 + c

c = 70

Hence,

the equation is y = 0.03x + 70

here y is amount charged and x are the number of flyers.

Slope here represents the variation in the charges with the change in the number of flyers

Positive slope means that the cost is increasing with increase in number of flyers

3 0

3 years ago

Pls help me in these two little exercises about the slope.

den301095 [7]

Answer:

3) $y=\dfrac35x+\dfrac25$

4) a) $y=-2x+7$

b) $y=\dfrac12x+\dfrac92$

Step-by-step explanation:

Exercise 3

$-3x + 5y = 2$

$\implies 5y = 3x + 2$

$\implies y=\dfrac35x+\dfrac25$

Exercise 4

a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ $m = -2$

If L2 passes through point (3, 1):

$y-y_1=m(x-x_1)$

$\implies y-1=-2(x-3)$

$\implies y=-2x+7$

So L2 = L1

b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ $m = \dfrac12$

If L3 passes through point (-5, 2):

$y-y_1=m(x-x_1)$

$\implies y-2=\dfrac12(x+5)$

$\implies y=\dfrac12x+\dfrac92$

4 0

2 years ago

Read 2 more answers

A FEW MATH QUESTIONS ! PLEASE EXPLAIN ANSWERS ! (:

7nadin3 [17]

answers

1) 70

2) 3,840

3) 24

4) 72

Explanation

The surface area of a cone is given by;

S.A = 2Πrl + Πr²

Where r is the radius of the base and l is the lateral height.

Πr² = area of the base = 20 in²

2Πrl = Area of the lateral surface

= 2.5 × 20

= 50

Area of the cone = 50 + 20

= 70 in²

The sides of the Pythagorean triangle with legs of 12 and 16.

The 3rd side will be;

c = √(12² + 16²)

= √400 = 20

Volume = 12 × 16 × 20

= 3,840

The volume of a cone is given by;

volume = 1/3 Π r² h

This shows that the volume of a cone is a third the volume of the cylinder.

∴ Volume of the cylinder = 12 × 3

= 24 ft³

The volume of any regular figure is;

Volume = base area × height

When the dimensions area usually 3. Let these dimensions be x, y and z.

∴ volume = x × y × z = 9

Doubling the dimensions;

Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9

= 8 × xyz = 8 × 9

= 72 ft²

3 0

3 years ago

Read 2 more answers

In the supermarket a loaf of bread costs 37p how many loaves can david buy with a 2 coin ? How much money will be left over?

Rasek [7]

Answer: He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Step-by-step explanation:

Given, In the supermarket a loaf of bread costs 37p .

To find: How many loaves can David buy with a $\pounds 2$ coin?

Since $\pounds 1=100\text{ pence}$

Then, $\pounds 2=200\text{ pence}$

Number of loaves he can buy = (Amount he has) ÷ (Cost of a loaf of bread)

= 200 p ÷ 37 p

$=5\dfrac{15}{37}$

i.e. he can buy 5 loaves of bread and 15 p will be left.

Hence, He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

6 0

3 years ago

Pls help because im awful at math

Vesnalui [34]

Answer:

8/4

Step-by-step explanation:

because 8 is x and x goes first and y is 4 and y goes last

hope this helps!

5 0

2 years ago

Read 2 more answers

Determine the volume of the rectangular prism.​

Determine the volume of the rectangular prism.