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Sunny_sXe [5.5K]
3 years ago
14

This data gives the width, in yards, of several drawers.

Mathematics
1 answer:
sveta [45]3 years ago
6 0

(yd): 1/2, 5/16, 7/16, 1/4, 1/2, 1/2, 3/8, 3/8, 1/8, 3/16, 1/2, 7/16, 3/16, 7/16, 3/167/16, 1/4, 1/2, ( point 1/16 more effecient)

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A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line
Nataliya [291]

Answer:

Volume is 2000\pi\ m^{3}

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d              (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d                  (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

c = \frac{1}{5}

Therefore,

h(y) = \frac{1}{5}y + 5

Now, the Volume of the pool is given by:

V = \int h(y)dA

where

A = r\theta

A = rdr\ d\theta

Thus

V = \int (\frac{1}{5}y + 5)dA

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta

V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta

V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}

V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}

7 0
3 years ago
Are the two terms on each tile like terms? Sort the tiles into the appropriate categories.
o-na [289]

Answer:

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

Step-by-step explanation:

Two or more terms are called like terms if they have same variables and powers.

-7y^2 and y^2 are like terms because they have same variable y with same power 2.

-4p and p^2 are not like terms because they have same variable y with different powers.

0.5kt and -10kt are like terms because they have same variables kt with same power 1.

6 and 9 are like terms because both are constant.

5x and 5 are not like terms because one have variable and other is constant.

3ad and 2bd are not like terms because they have different variables.

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

7 0
3 years ago
Anyone know how to solve this?
yuradex [85]

Answer:

<h2>\frac{16}{25}</h2>

Step-by-step explanation:

<h3>( -  \frac{4}{5})^{2}</h3><h3>{( - 1)}^{2}  \frac{ {4}^{2} }{ {5}^{2} }</h3><h3>1 \frac{ {4}^{2} }{ {5}^{2} }</h3><h3>\frac{ {4}^{2} }{ {5}^{2} }</h3><h3>\frac{16}{25}</h3><h3>Hope it is helpful....</h3>
5 0
3 years ago
A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers,
s344n2d4d5 [400]

Answer:

y=3x+5

Step-by-step explanation:

The problem is asking for slope-intercept form, luckily, they gave us both of those things.

Slope-intercept form: y=mx+b, where m= slope and b= y-intercept.

So,

y=3x+5

Hope this helps!

7 0
3 years ago
If the probability of getting an odd number is 5/10 on a game spinner, the numerator of that probability is:
Rama09 [41]

Answer: the number of favorable outcomes

Step-by-step explanation:

It says it on Apex

8 0
4 years ago
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