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3 years ago

Susan designs circular pool with a diameter of 25 m what is the area of the bottom of the pool

Mathematics

2 answers:

DENIUS [597]3 years ago

8 0

$\frac{625}{4} \pi$
also known as 490.87

zhannawk [14.2K]3 years ago

5 0

I think the answer is 490.87m².

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How do you find the length of the legs of an isosceles triangle?

AveGali [126]

Answer:

Step-by-step explanation:

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3 years ago

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Calculus application

Ugo [173]

Answer:

49m/s

59.07 m/s

Step-by-step explanation:

Given that :

Distance (s) = 178 m

Acceleration due to gravity (a) = g(downward) = 9.8m/s²

Velocity (V) after 5 seconds ;

The initial velocity (u) = 0

Using the relation :

v = u + at

Where ; t = Time = 5 seconds ; a = 9.8m/s²

v = 0 + 9.8(5)

v = 0 + 49

V = 49 m/s

Hence, velocity after 5 seconds = 49m/s

b) How fast is the ball traveling when it hits the ground?

V² = u² + 2as

Where s = height = 178m

V² = 0 + 2(9.8)(178)

V² = 0 + 3488.8

V² = 3488.8

V = √3488.8

V = 59.07 m/s

8 0

3 years ago

*^%Brainliest 15 pounds Question 5 (2 points)

galben [10]

Answer:

Step-by-step explanation:

Separate into two parts

$\frac{4xy^{3} }{2xy^{2} } + \frac{8x^{2} {y}^{5} }{2x {y}^{2} }$

Simplify:

This is for the first fraction

$\frac{4x {y}^{3} }{2x {y}^{2} } = (4 \div 2)(x \div x)( {y}^{3} \div {y}^{2} )$

$2(1)( {y}^{3 - 2} )$

$2{y}$

Now for the second fraction:

$\frac{8 {x}^{2} {y}^{3} }{2x {y}^{2} } = ( 8 \div 2)( {x}^{2} \div x)( {y}^{5} \div {y}^{2} )$

$4( {x}^{2 - 1} )( {y}^{5 - 2} )$

$4x {y}^{3}$

Add both parts together

$2y + 4x {y}^{3}$

To turn this into the said formula, that would become:

$2 {x}^{0} {y}^{1} + 4 {x}^{1} {y}^{3}$

Where:

a=0

b=1

c=1

d=3

Any value with an exponent 0 except zero will be equal to 1

4 0

3 years ago

One bottle contains 341 ml of juice. Céline buys 2 cases of 24 bottles of juice. Nicole buys 3 cases of 12 bottles of juice. Who

Helga [31]

Answer: Celine, 4092 ml

Step-by-step explanation:

Given

1 bottle contains 341 ml Juice

Celine buys 2 cases of 24 bottles i.e. a total of 48 bottles

Nicole buys 3 cases of 12 bottles i.e. a total of 36 bottles

Amount of Juice Celine has

$\Rightarrow 48\times 341=16,368\ ml$

Amount of Juice Nicole has

$\Rightarrow 36\times 341=12,276\ ml$

Thus, Celine has more juice than Nicole

$\Rightarrow 16,368-12,276=4092\ ml$

Celine has 4092 ml more than Nicole

7 0

3 years ago

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che

guapka [62]

That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)

PROOF: y + 5x = x² + 10
 (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10


0 = x2 – 9x + 20 (liked terms are grouped and simplified)

PROOF: 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20

Solving:
x² - 9x + 20 = 0

x² - 5x - 4x + 20 = 0

(x - 5) (x - 4) = 0

⇒ x = 4 (as question says) OR x = 5

8 0

3 years ago

Read 2 more answers