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2 years ago

PLS HURRY! WILL MARK BRAINLIEST

Mathematics

1 answer:

defon2 years ago

5 0

Answer:

A=941.33 square inches.

Step-by-step explanation:

The total area of the banner is the sum of the areas of the square and the semicircle (half cricle) The side length of the square is 26 inches and the radius of the semicircle is 13 inches (half of the dimeter) so: A=Asquare+Asemicircle A=(s2)+(12)πr2 A=262+12(3.14)(13)2 A=676+265.33

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Please help me ASAP please

sammy [17]

Answer:

Independent variable: c

Dependent variable: b

Step-by-step explanation:

The c is by itself meaning it is independent. :)

6 0

2 years ago

Read 2 more answers

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

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

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

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

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

2 years ago

Read 2 more answers

What is the equation for x+1, x+2, x+3

arlik [135]

Hello there.

What is the equation for x+1, x+2, x+3

4x+3

4 0

3 years ago

Can pls someone help I need help

Firlakuza [10]

A^2 + b^2 = c^2
9^2 + b^2 = 15^2
81 + b^2 = 225
225 - 81 = b^2
144 = b^2
square root of 144 = 12
b = 12

7 0

2 years ago

At first it increased by 25% and then decreased by 40%

Makovka662 [10]

Answer: 12%

Step-by-step explanation:

Let the original salary be Rs a

Salary after increase = a + 40% of a

= a + 40a/100

= 140a/100

= 14a/10

= 7a/ 5

Salary after Decrease = 7a/5 - 20% of 7a/5

= 7a/5 - 20× 7a / 100 × 5

= 7a/5 - 7a/25

= ( 35a - 7a) / 25

= 28a/25

Absolute increase = 28a/25 - a

= 3a/25

Percentage = 3a/25 ×100 / a

= 3 × 4

= 12%

4 0

3 years ago