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2 years ago

Jeanine’s swimming pool has a diameter of 27 feet. Surrounding the pool is a

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

6 0

Answer:

It will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

Step-by-step explanation:

Diameter of swimming pool = 27 feet

Radius of pool r= $\frac{27}{2}=13.5 feet$

Surrounding the pool is a deck that extends 5 feet from the edges of the pool

Outer radius R = 13.5+5=18.5

Area of deck = Outer area - Inner area

Area of deck = $\pi R^2 -\pi r^2$

Area of deck = $3.14(18.5^2-13.5^2)$

Area of deck = $502.4 ft^2$

Cost of painting 1 sq.feet = $0.85

Cost of painting 502.4 sq.feet = $502.4 \times 0.85=427.04$

Perimeter of deck = $2 \pi R = 2 \times 3.14 \times 18.5 =116.18 feet$

Cost of fencing 1 foot = $8.25

Cost of fencing 116.18 foot = $116.18 \times 8.25=958.485$

Hence it will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

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Erin built a wooden box to hold hay on her farm. Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to complete

sergiy2304 [10]

Here is the complete question.

Erin built a wooden box to hold hay on her farm.The box is 3 \text { m}3 m3, start text, space, m, end text long, 1 \text { m}1 m1, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high.Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?

Answer:

it cost $42 to completely fill the box with hay

Step-by-step explanation:

Given that :

The length of the wooden box = 3m ; the width of the box = 1m and the height of the box = 1 m; we can easily determine the volume of the rectangular wooden box;

We all know it would assume the shape of a rectangular prism and it's volume = L × W × H

Thus; the volume of the box = . 3 m × 1 m × 1 m = 3 m³

However, the question proceeds by stating it that the wooden box cost $14 per cubic meter;

So , if 1 cubic meter = $14;

three cubic meters = $14 × 3 = $42

Hence; it cost $42 to completely fill the box with hay

8 0

2 years ago

After getting 10% discount a customer paid RS 2034 with 13% VAT to buy a bag from a retailer. If the retailer made a profit of 2

german

Answer:

33.33%

Step-by-step explanation:

We are told that the customer paid Rs. 2034 after getting 10% discount with 13% vat on marked price (m.p.)

hence:-

2034 = m.p. × 90/100 × 113/100

m.p = (2034 × 100 × 100)/(90 × 113)

m.p. = Rs.2000

Now, due to the fact that VAT (which in this question is given to be 13%) is not the profit of the retailer, thus the selling price (s.p.) of the bag would be given by;

s.p = m.p. × 90/100

s.p = 2000 × 90/100

s.p = Rs. 1800

We are told that the retailer made a profit of 20%

Thus:-

c.p. × 120/100 = s.p.

c.p.= s.p. × 100/120

c.p.= 1800 × 100/120

c.p. = Rs.1500

Therefore, the percentage with which he marked above the c.p is;

% mark up = (m.p - c.p)/c.p) × 100

Plugging in the relevant values, we have;

(2000 - 1500)/1500) × 100

(500/1500) × 100 = 33.33%

7 0

2 years ago

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

aliya0001 [1]

Answer:

$q = -6p + 104$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$q = mp + b$

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: $m = \frac{-36}{6} = -6$

$q = -6p + b$

Finding b:

We replace one of the points. Replacing (4,80).

$q = -6p + b$

$80 = -6*4 + b$

$b = 104$

$q = -6p + 104$

7 0

2 years ago

A train station has installed a system for determining whether bags contain explosives. It has a 95% chance of correctly identif

astraxan [27]

Answer:

a) P(identified as containing explosives)=P(actually contains explosives and identified as containing explosives)+P(actually not contains explosives and identified as containing explosives)

=(10/(4*106))*0.95+(1-10/(4*106))*0.005 =0.005002363

hence probability that it actually contains explosives given identified as containing explosives)

=(10/(4*106))*0.95/0.005002363=0.000475

let probability of correctly identifying a bag without explosives be a

hence a =0.99999763 ~ 99.999763%

No as even if that becomes 1 ; proportion of true explosives will always be less than half of total explosives detected,

3 0

2 years ago

What integer is closest to 31/7

Sonja [21]

Answer:

31/7 = 4 3/7.....3/7 is less then 1/2....so the closest integer is 4

Step-by-step explanation:

Please mark me brainlist if this helped

4 0

2 years ago