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sweet [91]
3 years ago
8

3. Find the area of the shaded region. Leave your answer in terms of pi. (1 point)

Mathematics
1 answer:
anygoal [31]3 years ago
5 0

ANSWER

B.

(4 - \pi) {ft}^{2}

EXPLANATION

The area of the square is

{l}^{2}

The length of the square is

l = 2ft

The area of the square is

=  {2}^{2}  = 4 {ft}^{2}

Area of the circle is

= \pi \:  {r}^{2}

The radius of the circle is

r =  \frac{2}{2}  = 1ft

Area of circle is

= \pi \:  \times  {1}^{2}  = \pi {ft}^{2}

The area of the shaded region is

= (4 - \pi) {ft}^{2}

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The function f(x)=1+1.5ln(x+1) models the average number of free-throws a basketball player can make consecutively during practi
UNO [17]

Answer:

402 days.

Step-by-step explanation:

f(x)=1+1.5ln(x+1)

When f() = 10 we have:

10 = 1 + 1.5ln (x + 1)

ln (x + 1) = (10-1) / 1.5 = 6

x + 1 = e^6

x = e^6 - 1 = 402.4.

8 0
3 years ago
Simplify this rational expression. 2x^2+5x+3/2x^2-x-3
Murljashka [212]

Answer:

2x+3/2x-3

Step-by-step explanation:

firstly we make two steps to simplify this question.

1st step: simplify 2x^{2} +5x+3

to simplify this we use factorization

2x^{2} +2x+3x+3

2x(x+1) +3(x+1)

(2x+3) (x+1)        .....(1)

2nd step:simplify 2x^{2} -x-3

2x^{2} +2x-3x-3

2x(x+1)-3(x+1)

(2x-3)(x+1)          .....(2)

now dividing (1) and  (2), we get the answer

2x+3/2x-3

5 0
3 years ago
Does anyone know what 3x4/5x6 is
yan [13]

Answer:

12/30 or 6/15

Step-by-step explanation:

3x4=12

5x6=30

12/30

simplified would be 12/30 divided by 2/2

the answer is 6/15

7 0
2 years ago
Read 2 more answers
Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−25^x+1.
KengaRu [80]
<span>(1,625) No (0,-25) No (-1,-1) No Think about what an integer exponent means for an negative base and you'll understand this problem. For instance the powers of -25 would be -25^1 = -25 -25^2 = (-25) * (-25) = 625 -25^3 = (-25)*(-25)*(-25) = -15625 and so on, giving 390625, -9765625, 244140625, etc. But that's a different subject. For the ordered pairs given, let's check them out. (1,625) -25^1 + 1 = -25 + 1 = -24. And -24 is not equal to 625, so "No". (0,-25) -25^0 + 1 = 1 +1 = 2. Note: Any real number other than 0 raised to the 0th power is 1. And 2 is not equal to -25, so "No". (-1,-1) -25^(-1) + 1 = 1/(-25^1) + 1 = 1/-25 + 1 = 24/25. And 24/25 is not equal to -1, so also "No".</span>
3 0
3 years ago
Read 2 more answers
Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 mile
mario62 [17]

Answer:

Therefore they are 734.106 miles apart.

Step-by-step explanation:

Given that ,

Two ships have a harbor together. The angle between two ships  is  135°40'. Each of two ships travel 402 miles.

It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.

Let ∠B= 135°40', and AB = 402 miles , BC =  402 miles

Then the distance between the ships = AC

We know

The sum of all angles = 180°

⇒∠A+∠B+∠C=180°

⇒∠A+135°40'+∠C=180°

⇒2∠A= 180°- 135°40'      [ since ∠A=∠C]

⇒2∠A=44°60'

⇒∠A= 22°30'

Again we know that,

\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Taking last two ratio,

\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Putting the value of BC , AC ,∠A,∠B

\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}

\Rightarrow AC=\frac{402 \times sin135^\circ40'}{sin 22^\circ30'}

         ≈734.106 miles

Therefore they are 734.106 miles apart.

3 0
3 years ago
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