All categories

3 years ago

Please answer this correctly

Mathematics

2 answers:

Reil [10]3 years ago

8 0

Answer:

The quarter circle's area is 38.47 yard²

Step-by-step explanation:

The area of a full circle is pi * r ²

The area of a quarter circle is 1/4 * pi * r ²

Given:

Use 3.14 for pi

Round to the nearest hundredths.

Perimeter of quarter circle is 24.99 yards

For r you must leave it as 'r' because we do not know it for now...

1. Circumference of a full circle = 2* pi * r

2. 1/4 * ( 2 * pi * r )

1/4 * ( 2 * 3.14 * r )

1/2 * 3.14 * r

1.57 * r

3 Since r = 'r'

We have to 2 sides running from the centre of the 'pie' to the left and right of the quarter circle which both have a length of exactly 'r'. So you just add 2 * r.

4. The outcome of step 2 + step 3 is the perimeter of quarter circle, which was given as 24.99 inch

1.57 * r + 2 * r = 24.99

( 1.57 + 2 ) * r = 24.99

3.57 * r = 24.99

Divide left and right of the = sign by 3.57

3.57 / 3.57 * r = 24.99 / 3.57

1 * r = 24.99 / 3.57

r = 7

The area of a quarter circle is 1/4 * pi * r ²

1/4 * pi * 7²

1/4 * 49 * pi

49/4 * pi

49/4 * 3.14

38.465

Round to the nearest hundredths gives 38.47 yard²

The quarter circle's area is 38.47 yard²

tatuchka [14]3 years ago

7 0

Answer:

pic wont load

Step-by-step explanation:

You might be interested in

What would be a common denominator for the difference of

8_murik_8 [283]

8/12-9/12 multiply 4 by 3 and then multiply 3 by 3 and you'll get 9/12

6 0

4 years ago

troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga

GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

$y-y1=m*(x-x1)$

where

m is the slope---------> $\frac{gallon}{miles}$

in this problem the slope is equal to $-\frac{1}{21} \frac{gallons}{miles}$

it's negative because the tank is going to be consumed

assuming he starts with a full tank

$for\ x=0\ y=30\ gal$

substitute in the formula above

$y-y1=m*(x-x1)\\\\ y-30=-\frac{1}{21}*(x-0)\\\\ y=-\frac{x}{21}+30$

therefore

the answer is

the equation $y=-\frac{x}{21}+30$

8 0

3 years ago

Read 2 more answers

The equation c=0.09sc=0.09s gives the amount cc (in dollars) of commission a salesperson receives for making a sale of ss dollar

aleksandrvk [35]

Answer:

independent variable is s and the dependent variable is c

Step-by-step explanation:

3 0

3 years ago

the first step for bisecting an angle is to strike an arc that intersects both _________ of the angle.

zlopas [31]

Answer: The first step for bisecting an angle is to strike an arc that intersects both <u>RAYS</u> of the angle.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

At 7:00 a.m., Alicia pours a cup of tea whose temperature is 200°F. The tea starts

EastWind [94]

Answer:

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, y = 128(0.989)x + 72

When the temperature is 172°F we have;

170 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (170 - 72)/128

= 98/128

= 0.7656

log(0.989)ˣ = log(0.7656)

x·log(0.989) = log(0.7656)

x = log(0.7656)/log(0.989)

= 24.15 minutes

4 0

3 years ago