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3 years ago

Find the surface area of the figure shown, correct to 2 decimal places.

Mathematics

1 answer:

agasfer [191]3 years ago

7 0

Answer:

$230.73m^2$

Step-by-step explanation:

$A=2a^2+4ah=2*4^2+4*4*4=96m^2$ (square prism)

$A=2\pi rh+2\pi r^2=2*\pi *4*9+2*\pi *4^2 = 326.73m^$ (cylinder)

$326.73-96=230.73m^2$ ( $\frac{3}{4}$ cylinder)

You might be interested in

On sunday 1/16 people who visit were senior citizens, 3/16 were infants, 3/8 were children and 3/8 were adults, how many of each

mamaluj [8]

Answer:

Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

Step-by-step explanation:

let total number of people visited the group = x

so number of senior citizens = x × 1/16 = x/16

Percentage of senior citizens = (number of senior citizens ÷ total number of people visited the group) × 100

= (x/16 ÷ x) × 100 = 100/16 = 6.25%

number of infants = 3/16 × x = 3x/16

Percentage of infants =(number of infants ÷ total number of people visited the group) × 100 = (3x/16 ÷ x) × 100 = 300/16 = 18.75%

number of children = 3/8 × x = 3x/8

Percentage of children =(number of children ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%

number of adults = 3/8 × x = 3x/8

Percentage of adults =(number of adults ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%.

Hence we can conclude that Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

4 0

3 years ago

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

$(x + 15)\ by\ x$

$Area = 60in^2$

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

$Area = Length * Width$

$60= (x + 15) * x$

Open Bracket

$60= x^2 + 15x$

Subtract 60 from both sides

$x^2 + 15x - 60 = 0$

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 1$

$b = 15$

$c = -60$

So:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}$

$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

Split:

$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

$x = 3.28$ or $x = -18.18$

But length can't be negative;

So:

$x = 3.28$

The actual dimensions: $(x + 15)\ by\ x$ is

$Length =3.28 +15$

$Length =18.28$

$Width = x$

$Width =3.28$

<em>The actual dimension is 18.28 by 3.28</em>

3 0

3 years ago

Murphy loves pistachio nuts. Every Saturday morning, she walks to the market and buy some. Last week, she bought two pounds and

BARSIC [14]

Answer:

3.98

Step-by-step explanation:

From the above question,

Cost is directly proportional to the Number of pounds

Hence:

C ∝ N

= C = kN

Where k = Proportionality constant

We are told:

Last week, she bought two pounds and paid $7.96,

Hence:

7.96 = 2k

k = 7.96/2

k = 3.98

This week she bought only one half pound and paid $1.99,

1.99 = k × 1/2

k = 1.99/ 1/2

k = 3.98

Hence, the constant rate of proportionality is 3.98

6 0

3 years ago

A sandwich shop loses $1.20 every time somebody buys a sandwich, but makes $1.80 every time somebody buys a drink. One day, the

levacccp [35]

Answer:

A, B, and C

I think. Please let me know if wrong.

Heres what i did:

1.8 x 100 = 180.

180 - 80 = 100

(they made over 100 in profit)

A. 1.2 x 0 = 0

B. 1.2 x 40 - 48

C. 1.2 x 60 = 72

D. 1.2 x 70 = 84

E. 1.2 x 80 =96

D and E bot Exceed 80 so it has to be AB and C

Hope this Helps ☺

6 0

4 years ago

3 = 3 + 7k + 7 whats the anwser and steps

nikklg [1K]

Answer: what does they K stand for

Step-by-step explanation:maybe I can help you

7 0

3 years ago

Read 2 more answers