Find the value of x.

Answer:

area of circle having radius 3

is πr²=π*3²=9π square units

area of circle having radius 2

=πr²=π×2²=4π square units

again

area of big circle having radius [3+2]=5 units

=πr²=π×5²=25π square units

Now

area of shaded region=25π-4π-9π=12π or 37.7square units.

Answer:

37.7 sq units

Step-by-step explanation:

Find area if entire region then subtract out each smaller circle

Diameter of entire circle would be 3(2)+2(2) which is 10 so radius is 5

Area of entire region = 25π

Area of circle one = 9π

Area of circle two = 4π

Area of shaded region = 25π - 13π which is 12π or 37.7

Answer:

Okay done

Step-by-step explanation:

3x - 6y = -2

-6y = -3x - 2, divide through by -1

6y = 3x + 2, divide through by 6

y = 3x/6 + 2/6

y = x/2 + 1/3

Answer:

y = 1/2x - 1/3

Step-by-step explanation:

subtract 3x from each side first to get:

-6y = -3x - 2

divide each side by -6 to get:

y = 3/6x - 2/6

simplify:

y = 1/2x + 1/3

Answer:

4.9 cm

Step-by-step explanation:

To solve this problem you would use the power of a point formula where two chords intersect in the interior of a circle. We get the equation:

7 * 7 = 10 *x

49 = 10x

x = 4.9 cm

Answer:

x = 4

Step-by-step explanation:

the first line (7cm and 7 cm) are the diameter. You add both numbers to get the diameter which would be 14. Then then next line (10 cm and x) would be the diameter as well. You can create an equation for this (10 + x = 14).

Subtract 14-10 and you get 4. Therefore x = 4

Answer:

To calculate the perimeter of a triangle, add the length of its sides.

Step-by-step explanation:

Answer:

14x - 4

Step-by-step explanation:

perimeter is the sum of all sides

6x-8 + 3x+7 +5x-3

combine like terms to get:

14x -4

3.2

8.79

20.89

12.564

107.40

403.52

0.47531

98.7252

13,238.984

0.0075

15,011.42

Proper

Improper

11⁄ 4

33⁄ 7

14⁄ 8 or 1 1⁄ 2

3 1/6

A proper fraction exists as a fraction that contains no whole number part and its numerator exists smaller than its denominator. An improper fraction exists as a fraction that contains a larger numerator than a denominator and it designates a number greater than one.

A proper fraction exists as a fraction that contains no whole number part and its numerator exists smaller than its denominator. An improper fraction exists as a fraction that contains a larger numerator than a denominator and it designates a number greater than one. To convert an improper fraction to a mixed fraction, observe these steps:

The answer as follows:

7. 0.47531

8. 98.7252

9. 13238.984

10. 0.00757576

11. 15011.4286

12. Proper

13. Improper

14. [tex]$\frac{11}{4}[/tex]

15. [tex]$\frac{33}{7}[/tex]

16. [tex]$1\frac{4}{8}[/tex] or [tex]$1\frac{1}{2}[/tex]

17. [tex]$3 \frac{1}{6}[/tex]

To learn more about proper fraction and improper fraction

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Answer:

8 ft is correct

Step-by-step explanation:

Answer:

3; 6; 6; 5

Step-by-step explanation:

15 / 5 = 3

18 / 3 = 6

12 / 2 = 6

25 / 5 = 5

Answer:

Step-by-step explanation:

take 55 degree as reference angle

using tan rule

tan 55=opposite/adjacent

1.42=37/x

x=37/1.42

x=26.05

============================================================

Explanation:

In your studies so far, every number you encounter is a real number. This changes when your teacher will introduce complex and imaginary numbers later on down the road. So 3.5 is a real number. A real number is essentially any number we can express as a decimal value (whether the decimal terminates, or goes on forever).

The number 3.5 is also rational because we can express it as a ratio of two integers, aka a fraction of two integers. Specifically, we can say 3.5 = 35/10 = 7/2.

The number 3.5 being rational would automatically rule out "irrational", since "irrational" means "not rational". The number 3.5 isn't an integer either. It would need to be either a positive whole number, negative whole number, or zero for it to be an integer. We rule out "natural number" for similar reasoning that we ruled out "integer".

Answer:

Step-by-step explanation:

the coordinate of D is (3,-3) because it is 3 units right from the x axis and -3 units down in y axis.

Answer:

3,1x  3,1y

Step-by-step explanation:

Answer:1 1/5

Step-by-step explanation:

1/5 x 6/1 = 6/5

6/5 is improper so it would be changed to 1 1/5

hope this helps!

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

We can express 6 as [tex]\frac{6}{1}[/tex] , then

[tex]\frac{1}{5}[/tex] × 6

= [tex]\frac{1}{5}[/tex] × [tex]\frac{6}{1}[/tex]

= [tex]\frac{1(6)}{5(1)}[/tex]

= [tex]\frac{6}{5}[/tex]

Answer:

Width = 1 m and length = 6 m

Step-by-step explanation:

Let b is the width of the rectangle.

Length = 5+b

The area of the rectangle, A = 6 m²

We need to find the dimensions of the rectangle. We know that, the area of a rectangle is given by :

A = lb

[tex]6=(5+b)b\\\\6=5b+b^2\\\\b=-6, b=1[/tex]

Width of the rectangle = 1 m

Length of the rectangle = 5+b = 6 m

Hence, this is the required solution.

Answer:

31). Maximum height = 100 feet

32). Time to hit the ground = 5 seconds

Step-by-step explanation:

31). Equation modeling the height 'h' of the ball is,

     h = -16t² + 80t

     For the maximum height of the ball,

     Find the derivative of 'h' with respect to time 't' and equate it to zero.

     [tex]\frac{dh}{dt}=\frac{d}{dt}(-16t^2+80t)[/tex]

          [tex]=-32t+80[/tex]

     [tex]\frac{dh}{dt}=0[/tex]

     [tex]-32t+80=0[/tex]

     [tex]t=\frac{80}{32}[/tex]

     [tex]t=2.5[/tex] seconds

     That means after 2.5 seconds ball will reach the maximum height.

     By substituting [tex]t=2.5[/tex] in the equation,

     [tex]h=-16(2.5)^2+80(2.5)[/tex]

     [tex]h=100[/tex] feet

     Therefore, maximum height achieved by the ball is 100 feet.

32). If the ball follows the parabolic path,

      Time taken by the ball to reach the maximum height = Time taken by  the ball to come back to the ground from the maximum height.

      Time taken by the ball to hit the ground = 2(2.5) = 5 seconds

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral, obtuse, acute and right angled triangles.

Two triangles are said to be congruent if all the corresponding sides and angles of both triangles are equal. Congruent triangles have the same size and shape.

Given that AB || DC and AD || BC, therefore:

∠DCA = ∠BAC (alternate angles are equal)

∠DAC = ∠BCA (alternate angles are equal)

AC ≈ AC

Therefore from triangle ABC and triangle CDA, since ∠DCA = ∠BAC, ∠DAC = ∠BCA and AC ≈ AC, hence both triangles are congruent by Ange-side-angle congruence theorem.

Therefore AB = CD

Answer:

the answer is AB is equal to CD

Step-by-step explanation:

theres not picture so like i cant help u with that

Answer:

A on Edge

Step-by-step explanation:

Just took the test and got a 100

The graph that represents the following piecewise defined function is of f(x) = x; x <-2 , -2; -2 < or = to x < or = to 1, x-3; x> or = to 1 is the first graph (Image attached)

A piecewise function is known to be a function that has been formed from pieces of a lot of functions over a lot of intervals.

An example, we can say a piecewise function f(x) where f(x) = -7 when -7 < x ≤ -4, f(x) = 4 when -4 < x ≤ -1, and f(x) = -5 when -1 <x ≤ 7.

The option that best explain the piecewise defined function is the image attached.

Learn more about piecewise defined function from

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Answer:

using pythagoras theorem

H^2=P^2+B^2

here h=MN ,opposite(P) be 15 and adjacent(B) be 16

(MN)2=15^2+16^2

(MN)^2=225+256

MN=[tex]\sqrt{481}[/tex]

MN=21.93

after rounding off MN=21.9

Step-by-step explanation:

Answer:

14400 boxes

Step-by-step explanation:

After looking at this question you would first see that it is looking for how many cuboids can fit into the container. That would mean that the final equation should be the volume of container divided by the volume of the cuboid.

First, we can find the volume of the container. Keep in mind that the volume of a rectangular prism is V=Bh (which means area of the base times the height)

For the base we would do (600)(200) which is 120000

Next, the height is 300, so we would times that by 120000 (which is 36000000)

Moving on to the cuboid!

We would do the same process, but with smaller units.

(same equation) V=Bh

B= (50)(20)

=100

(100)(25)=2500

Lastly, like mentioned in the beginning, take the volume of the container and divide by the volume of the cuboid.

36000000/2500=14400

Therefore, 14400 boxes can fit into this container!

Hope this helps! :)

Answer:

Step-by-step explanation:

so they made the boxes fit perfectly into the container.. as they are.

notice that each of the dimensions of the box fit perfectly into the dimensions of the container.

length container of 600 / length of box 50=12

width of container of  200 / width of box 20 = 10

height of container of 300 / heigth of box 25 = 12

now just multiply those 3 answers

12 * 10 * 12 = 1440 boxes  :)

BTW ( by the way )   I can see by what you have erased you did do the  

300 ÷25 =12 correctly ,  (300/25), and the  

200÷20 = 10  correctly, (200/20)  but the

600÷50 = 20 was not correct.    You can check this in your head really quickly by just multiplying  50*20 = 1000   ,  now you know that's not right, so then do 50*10=500  , that's close, hun,  now just add 2 more 50s for a total of 600  and 12 , 50s   :)  see??

Answer:

x=17

Step-by-step explanation:

5x-20=65

5x=85

x=85/5=17

Answer:

Solution given:

5x-20=65°[vertically opposite angle are equal]

5x=65+20

x=85/5

x=17is a required answer

Answer:

$1040

Step-by-step explanation:

20% of 1300 is 260

subtract 260 from 1300

Answer:

The statement is false.

Step-by-step explanation:

A parallelogram is a figure of four sides, such that opposite sides are parallel

A rectangle is a four-sided figure such that all internal angles are 90°

Here, the statement is:

"A rectangle is sometimes a parallelogram but a parallelogram is always a

rectangle."

Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.

The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.

The correct statement would be:

"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"

Answer:

$29,750

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]( \frac{ - 8}{5} \times \frac{7}{4} )[/tex]

[tex] = \frac{ - 2}{5} \times \frac{7}{1} [/tex]

[tex] = \frac{ - 14}{5} [/tex]

As we know that,

The additive inverse of a number , is the number that, when added to it yields zero.

Since,

-14 + 14 = 0

Then,

[tex] \frac{ - 14}{5} + \frac{14}{5} = \frac{ - 14 + 14}{5} [/tex]

[tex] = \frac{0}{5} = 0[/tex]

Hence,

Option D is correct.

Answer:

78°

Step-by-step explanation:

The two angles have to add up to 180°

180° - 102° = 78°

Angle = 78°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

1 / 3

Step-by-step explanation:

Bag 1 :

Yellow = 3

Green = 2

Red = 1

Total = 3 + 2 +1 = 6

Bag 2 :

Yellow = 3

Green = 3

Red = 3

Total = 3 + 3 + 3 = 9

P(not yellow from bag 1) = (green + red) / total = 3 /6 = 1/2

P(not yellow from bag 2) = (green + red) / total = 6/9 = 2 /3

P(neither is yellow) = 1/2 * 2/3 = 2 / 6 = 1/3

Answer:

The volume is 8

Step-by-step explanation:

Volume=abc

V=(2/5)(2/5)(2/5)

V=8