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3 years ago

Calculate the area of the given circle.

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

5 0

Answer:

Using the formula for Area of circle_

πr²

putting values_

π = 3.14

r² = (5)² = 25.

Therefore,

3.14 × 25

= 78.5

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What is the missing numerator? (4 points)

kozerog [31]

Answer:

$\frac{x}{7}$ - $\frac{3}{8}$ = $\frac{27\\}{56}$

Step-by-step explanation:

6 x 8 = 32

7 x 3 = 21

32 - 21 = 27

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3 years ago

19. Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cos

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2.5 pounds of Granny Smith apples.

Step-by-step explanation:

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4 years ago

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write a word problem that can be solved using a system of two linear equations. solve the problem and give the meaning of the an

dmitriy555 [2]

Answer:

The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find numbers

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Let the number be x.

Sum of two numbers = 25

According to question, x + x + 9 = 25

⇒ 2x + 9 = 25

⇒ 2x = 25 - 9

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3 years ago

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Can x in f(x) be replaced by another letter? For example f(a);Would that be the same thing?

Murljashka [212]

Answer:

Yes

Step-by-step explanation:

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3 years ago

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Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

4 0

3 years ago