Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answer:

171 square ft

Step-by-step explanation:

Area of side walk of the pool = Are of outer square - Area of inner square

[tex] = {30}^{2} - {27}^{2} \\ = (30 + 27)(30 - 27) \\ = 57 \times 3 \\ = 171 \: {ft}^{2} [/tex]

Answer:

Volume = length × width × height

length = 16

height = 5

V= 16 × w × 5

V = 80w

Hope this helps.

Answer:

1= 105, 2= 75

Step-by-step explanation:

Based on the 75 degree angle, since alternate interior angles have the same measurements, angle 2 will also measure 75 degrees. Furthermore, since angle 1 and angle 2 are supplementary angles, angle 1 will be 105 degrees because 105 + 75 is 180.

Answer:

x = 15                   x = -13

Step-by-step explanation:

|x-1|=14

There are two solutions to the absolute value equation, one positive and one negative

x-1 = 14   and x-1 = -14

Add 1 to each side

x-1+1 = 14+1     x-1+1 = -14+1

x = 15                   x = -13

Answer:

x= 13 or -13

Step-by-step explanation:

Substitute x for 13

|13+-1|=14

13+1=14

14=14

Now try -13

|-13+-1|=14

13+1=14

14=14

Answer:

Katie

Step-by-step explanation:

lets convert all the speeds to ft/1 sec

V adam: 9ft/sec

V noah: 164ft/14sec

164/14=11.7142857143= around 11.7 ft/sec

V jake: 1 mile/412 sec

1 mile= 5280 ft

5280 ft/412 sec=

5280/412=12.8155339806= around 12.8 ft/sec

V katie: 845ft/min

minute=60 sec

845ft/60sec=

845/60=14.0833333333= around 14.1 ft/sec

now lets order the velocities(speeds) from least to greatest:

V adam: 9ft/sec, V noah: 11.7 ft/sec, V jake: 12.8 ft/sec, V katie: 14.1 ft/sec

thus, Katie is the fastest runner

Answer:

a. -3x = -2y

When x=6, y=9

Step-by-step explanation:

From the hanger, There are two sides

If x=triangle and y=square

First side has 1 triangle and 3 squares

It can be represented by

x+3y

Second side has 4 triangles and 1 square

It can be represented by

4x+y

Equate the first and second side

x+3y=4x+y

Collect like terms

x+3y-4x-y=0

-3x+2y=0

-3x=-2y

Find y when x=6

-3(6)=-2y

-18=-2y

Divide both sides by -2

-18/-2=-2y/-2

9=y

y=9

The value of y when x = 6 is 9

Given that the weight of the triangle is x and the weight of the square is y.

For the hanger at the left, the resulting equation will be:

x + 3y (1 triangle and 3 square)

For the right-hand side

4x + y (4 triangles and 1 square)

Equating both expressions

x + 3y = 4x + y

x - 4x = -2y

-3x = -2y

3x = 2y

If x = 6, hence;

3(6) = 2y

2y = 18

y = 9

Hence the value of y when x = 6 is 9

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Answer:

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

Therefore,

4x - 5 = 3x

4x  = 3x + 5

4x - 3x = 5

x = 5

Answer:

240

Step-by-step explanation:

(2x36)/2=36

(36+39)x2/2=75

(31+39)x2/2=70

(14+31)x2/2=45

(2x14)/2=14

14+45+70+75+36=240

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

Let the weight of a square be s.

Left side: 2s + 4

Right side: s + 3(4) = s + 12

The weights are equal, so we set the two expressions equal.

2s + 4 = s + 12

s = 8

Answer: The weight of a square is 8 grams.

Answer:

x=2.4650

Step-by-step explanation:

I assume that you mean [tex]3^x=15[/tex]

so let s use the ln() function

[tex]ln(3^x)= xln(3)=ln(15)[/tex]

so x = ln(15)/ln(3)

x = 2.4650

Answer:

9^x =9^5.

9^3

cross multiply

9^x=9^5×9^3

the nine cancel themselves .

x=5+3=8.

Answer:

x=8

Step-by-step explanation:

when dividing, you subtract the indicies (powers) and vice versa

rearrange the equation:

9^x=9^5​*9^3

5+3= 8 (add because when multiplying with indicies you need to add the indicies)

check answer:

9^8/9^3=9^5​

8-3=5 ✓

Answer:

Center [tex]= (0,0)[/tex]

Vertices  [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].

Step-by-step explanation:

The standard form of an ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]    ...(1)

where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.

[tex]c=\sqrt{a^2-b^2}[/tex]

The given equation of ellipse is

[tex]3x^2+7y^2=21[/tex]

Divide both sides by 21.

[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]

[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]a^2=7,b^2=3[/tex]

[tex]a=\sqrt{7},b=\sqrt{3}[/tex]

Now,

[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]

Therefore,

Center [tex]= (0,0)[/tex]

Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].

Answer:

60 minutes/1 hour

Step-by-step explanation:

45+ 15=60

Answer: 3.2 seconds

Step-by-step explanation:

Time = Distance / speed

= 2000 / 625

= 3.2 seconds

Answer:

(- 5, - 25 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )

Answer:

words with prefixes: pro-duce. uni-cycle.

words with suffixes: hope-ful. goof-y.

words with both: multi-function-al. un-fix-able.

Produce

Unicycle

hopeful

Goofy

Multifunctional

Unfixable

Hope this helped. If it did, please mark as brianliest as it helps me and others find the correct answer. Thank you! :)

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

When the discriminant is 0, there is one real solution.

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

Answer:

3/8

Step-by-step explanation:

1. We list all codes that start with 0 and have 0 as second digit:

2. We list all codes that start with 0 and have 1 as second digit:

3. We list all codes that start with 1 and have 0 as second digit:

4. We list all codes that start with 1 and have 1 as second digit:

5. We find the number of codes which have exactly 2 zeros: 6 codes

6. The total number of outcomes is: 16 codes

7. We find the probability that the number of codes has exactly 2 zeros: 6/16 3/8

Answer:

The probability of getting two 1's is 3/8

Step-by-step explanation:

Martha types a 4−digit code into a keypad to unlock her car doors.

The code uses the numbers 1 and 0

So the sample space of all the possible combinations is given by

1. 0 0 0 0

2. 0 0 0 1

3. 0 0 1 0

4. 0 0 1 1

5. 0 1 0 0

6. 0 1 0 1

7. 0 1 1 0

8. 0 1 1 1

9. 1 0 0 0

10. 1 0 0 1

11. 1 0 1 0

12. 1 0 1 1

13. 1 1 0 0

14. 1 1 0 1

15. 1 1 1 0

16. 1 1 1 1

So there are total 16 possible outcomes.

Now count the number of combinations that has exactly two 1's

4. 0 0 1 1

6. 0 1 0 1

7. 0 1 1 0

10. 1 0 0 1

11. 1 0 1 0

13. 1 1 0 0

So there are 6 possible outcomes with exactly two 1's

The required probability is

P(two 1's) = Number of outcomes with two 1's/Total number of outcomes

P(two 1's) = 6/16

P(two 1's) = 3/8

Therefore, the probability of getting two 1's is 3/8

Answer:

The first graph

Step-by-step explanation:

I think it is the first one because I remember doing this. If this is wrong please forgive me. Have a wonderful day!

First graph shows the function f(x) and g(x).

" Graph is representation of the coordinates on the coordinate plane along x-axis and y-axis."

According to the question,

Given function,

[tex]f(x) = x^{5} -3x^{2} +5x\\\\g(x) = f(-x+4)[/tex]

Plot the given functions on the graph we get,

Compare the drawn graph with the given graph.

First graph is same as graph drawn for the function f(x) and g(x).

Hence, we conclude that  first graph shows the function f(x) and g(x).

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Answer: y=2x+14

Step:

substitute into y=mx+b

m= slope

b = y-int.

Answer:

Acute isoceles

Step-by-step explanation:

Two base angles of the triangle are equal making it isosceles

The top angle is less than 90° making it an acute angle

ur gonna do : lxbxh

so :

8x5x7

the answer is 280 yd cubed

Answer:

B. Line c

Step-by-step explanation:

looking at the points, 3, -2 is on line c.

// have a great day //

Answer:  8

Step-by-step explanation:

there is no table

Answer:

x = 7

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, thus

80 + 14x + 2 = 180

14x + 82 = 180 ( subtract 82 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

In the given parallelogram QRST, x = 7°.

In a quadrilateral, adjacent angles are the pair of angles, that come is formed by the intersection of any common line.

In the question, we are shown a parallelogram QRST and are asked to find the value of x.

We know that ∠TQR and ∠QRS are adjacent, as they include a common side, QR.

∠TQR = 80°, ∠QRS = (14x + 2)°

Now, we know that adjacent angles of a parallelogram are supplementary, that is their sum = 180°

∴ ∠TQR + ∠QRS = 180°

or, 80° + (14x + 2)° = 180°

or, 14x = 180° - 80° -2° = 98°

or, x = 98°/14 = 7°

∴ In the given parallelogram QRST, x = 7°.

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Answer:

12

Step-by-step explanation:

Alr so correct me if I'm wrong but I think you made a mistake. It says find 44 of those rectangles. You found just 1 in that case which the area is 3/11. You have to do 3/11 X 44 which is

3/11 x 44/1 = 132/11 = 12.

As I said, correct me if I'm wrong.

Hope this Helps!

Answer:

(8, -5)

Step-by-step explanation:

When you reflect across the line y = x, you switch the two numbers in the coordinate. The point (a, b) turns into (b, a).

Answer:

(x - 4) (x - 5)

Step-by-step explanation:

Factor the following:

x^2 - 9 x + 20

The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):

Answer: (x - 4) (x - 5)