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3 years ago

Circle A has an area of 452.16ft with a radius of 12ft. If circle B has a radius of 17ft, what is its area

Mathematics

2 answers:

SSSSS [86.1K]3 years ago

4 0

Answer: The area of circle is 907.46 sq. ft.

Step-by-step explanation:

Since we have given that

Radius of circle B = 17 ft

We need to find the area of circle.

As we know the formula for "Area of circle":

$Area=\pi r^2\\\\Area=3.14\times 17\times 17\\\\Area=3.14\times 289\\\\Area=907.46\ ft^2$

Hence, the area of circle is 907.46 sq. ft.

Mashcka [7]3 years ago

3 0

A=pi x r^2
a=3.14 x 17^2
a=907.46 sq. feet

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In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to

Vitek1552 [10]

5+3x>30
3x>30-5
3x>25
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3 years ago

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Solve the linear equation - 7(x + 2) = -3(x - 5) for x

melisa1 [442]

x= −29/4

Answer:

Step-by-step explanation:

−7(x+2)=−3(x−5)

Step 1: Simplify both sides of the equation.

−7(x+2)=−3(x−5)

(−7)(x)+(−7)(2)=(−3)(x)+(−3)(−5)(Distribute)

−7x+−14=−3x+15

−7x−14=−3x+15

Step 2: Add 3x to both sides.

−7x−14+3x=−3x+15+3x

−4x−14=15

Step 3: Add 14 to both sides.

−4x−14+14=15+14

−4x=29

Step 4: Divide both sides by -4.

−4x −4

x=29/−4

x= −29/4

3 0

3 years ago

a missile is launched from the ground. its height, h(x), can be represented by a quadratic function in terms of time, x, in seco

fomenos

Answer:

The height of the missile in the air after 11 seconds is 330 feet.

Step-by-step explanation:

The standard form for the quadratic function f(x)= $ax^2 + bx + c$ , which is the function of the parabola model.

We are given two points.

(1, 130) and (2, 240)

Here the first coordinate represents the x (time) and the second coordinate represents h(x), which is height.

Now plug these two coordinates and find the two equations.

(1, 130), the equation is

130 = a.(1)^2 + b(1) + c, where "c" is the initial height. Which is equal to zero.

Therefore, we get

130 = a + b + 0

a + b = 130 -------(1)

Now let's form the second equation using the coordinate (2, 240)

240 = $a(2)^2 + b(2) + 0$

240 = 4a + 2b -------------(2)

Now let's solve the equations (1) and (2) and find the value of "a" and "b"

a + b = 130 can be written as a = 130 - b

Here we can use the substitution method.

Now plug in a = 130 - b in the second equation, we get

240 = 4(130 - b) + 2b

240 = 520 - 4b + 2b

240 = 520 - 2b

2b = 520 - 240

2b = 280

Dividing both sides by 2, we get

b = 140

Now plug in b = 140 in a = 130 -b and find the value of a

a = 130 - 140

a = -10

Now we got a = -10 and b = 140.

We plug in a = -10 and b = 140 in the general form, we gety

h(x) = $-10x^2 + 140x + c$

Where c is the initial height, which is equal to 0.

h(x) = $-10x^2 + 140x$

Now plug in x = 11 seconds and find the height.

h(11) = -10(11)^2 + 140 (11)

= -10 (121) + 1540

= - 1210 + 1540

h(11) = 330 feet,

Therefore, the height of the missile in the air after 11 seconds is 330 feet.

6 0

3 years ago

Which equation can be used to solve for the unknown number? Seven less than a number is thirteen.

zysi [14]

Answer:

n-7=13

Step-by-step explanation:

We need to find an equation that represents the expression: "Seven less than a number is thirteen".

It means that a number minus 7 equals 13. So, the correct option is: n-7=13

Bonus: Solving for 'n' we have that n=20.

So, Seven less than 20 equals 13!!

7 0

2 years ago

Read 2 more answers

The Johnson family had a meal catered for a wedding rehearsal dinner. The cost of the dinner was $476. There was a 5% sales tax

Natasha2012 [34]

5% of 476 =0.05*476

1) If the tips were left from the cost of dinner including sale taxes

15 % tips would be (476+0.05*476)*0.15.

2) If tips would be left only from the cost of the dinner it would be

0.15*476

Total cost = cost of dinner +tax+tips

<h3>How does sales affect cash flow?</h3>

Sales growth affects cash flow in two ways: through the growth effect and through the impact on management's choice of how to handle it. Growth in sales affects all other revenue-generating activities that appear on the organization's balance sheet or income statement.

1) for the case when tips left from the sum of cost of the dinner and taxes

total cost = 476 +0.05*476 + (476+0.05*476)*0.15=574.77

2) for case when tips left only from the cost of the dinner

total cost = 476 +0.05*476 +0.15*476 = 571.20

Sales growth has an impact on cash flow in two ways: directly through the growth effect and indirectly through the management's decision-making process. Sales growth has an impact on all other revenue-generating activities that are shown on the balance sheet or income statement of the company.

Dinner cost plus taxes and tips equals the total cost.

1) For the case where taxes and the cost of the meal plus tips are subtracted

$574.77 ($476 + 0.05*476 + (476 + 0.05*476)*0.15) is the total price.

2) if only the dinner tab was taken from the tips

Total cost: 571.20 ($476 + 0.05 * 476 + 0.15 * 476).

Normally, taxes and tips are subtracted from the total amount, so perhaps you should choose Option 1).

To learn more about sales affect cash flow refer to:

brainly.com/question/24179665

#SPJ1

5 0

11 months ago