Write the equality in the given diagram below

Answer:

21.

Step-by-step explanation:

Angles subtended by the same arc on the circumference of the circle are congruent, so:

2x = 42

x = 21.

Answer:

16

Step-by-step explanation:

50-50 chance for each

2x2x2x2=16

Answer:

12 ft

Step-by-step explanation:

Tim Height: Tim Shadow
5ft              : 2ft

Tree Height: Tree Shadow
30ft              : ?ft

Using this knowledge, we can compare Tim's Height to the Tree's Height. The tree's height is 6 times more than Tim (5x6=30). We can find the shadow of the tree if we multiple tim's shadow by 6.

Therefore, 2ft x 6 = 12ft

The Tree's Shadow is 12ft.

Answer:

Y = 2

X = - 2

Step-by-step explanation:

8x-4y= - 24 eq 1

4x-12y = - 32 eq 2

Multiply equation 2 by (×-2)

Then

-8x +24 y = 64. Eq 3

Add eq 1 to eq 3

20y = 40 then y = 2

From eq 1

8x - 4(2) = - 24

8x = - 16

X = - 2

Answer:

(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

 (x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

 (x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

 (x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

 A(7, 5) ⇒ A'(4 -7, 5 +8) = (-3, 13)

Answer:

1/3 is the same as 0.33...(The decimal continues on from here.)

Answer:

b because it is

Step-by-step explanation:

153.2 is a cool number

Answer:The distance is 10.8

Step-by-step explanation:

Answer:

[tex]-2\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\textsf{Given expression}: \quad(\sqrt{3}+1)(\sqrt{3}-3)[/tex]

[tex]\textsf{Use the FOIL method to expand}\quad(a+b)(c-d)=ac-ad+bc-bd:[/tex]

[tex]=\sqrt{3}\sqrt{3}-3\sqrt{3}+1\sqrt{3}+1(-3)[/tex]

[tex]=\sqrt{3}\sqrt{3}-3\sqrt{3}+1\sqrt{3}-3[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{a}=a:[/tex]

[tex]=3-3\sqrt{3}+\sqrt{3}-3[/tex]

[tex]\textsf{Collect like terms}:[/tex]

[tex]=3-3-3\sqrt{3}+\sqrt{3}[/tex]

[tex]\textsf{Combine like terms}:[/tex]

[tex]=0-2\sqrt{3}[/tex]

[tex]=-2\sqrt{3}[/tex]

Answer: 36

Step-by-step explanation:

If there are 30 new crayons, all you have to do is subtract the 24 new crayons Angie added, thus being six new crayons. Multiply this by 6 to get 36.

The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)

In this question we should apply the concepts of right triangles and trigonometric functions to determine the height of the water within the waterslide. A geometric diagram of the cross section of the waterslide is presented below, which indicates the existence of circular symmetry.

Now we proceed to determine the height of the water:

cos α = (0.5 m/0.75 m)

α ≈ 48.190°

y = (0.75 m) · sin 48.190°

y = 0.559 m

x = 0.75 m - 0.559 m

x = 0.191 m

The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)

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The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

We are given the volume of the sphere as 144π cubic units.

From the attached file, we see that the radius of the sphere is 6.

Formula for Volume of a Sphere is;

V = ⁴/₃πr³

Thus;

V = ⁴/₃π * 6³

V = 288π cubic units

Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

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Answer:

First Figure:

Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.

E.) x° = 90° - 68°  -----> x° = 22°

Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.

H.) y° = 180° - 90° - 22°  ----->  y° = 68°

Second Figure:

A similar process can be taken for the second figure.

T.) x° = 180° - 90° - 74°  ----->  x° = 16°

E.) y = 90° - 50°  ----->  y° = 40°

Third Figure:

Again, remember that right triangles = 90° and lines = 180°.

C.) w° = 180° - 90° - 31°  ----->  w° = 59°

R.) x° = 90° - 28°  -----> x° = 62°

H.) y° = 180° - w°  ----->  y° = 180° - 59°  ----->  y° = 121°

The potential energy of the 10-kg object is 294 joules.

Variation is a mathematical term that shows the relationship between two or more parameters or quantities in an equation.

Analysis:

let potential energy be = P

let mass be = m

let height be = h

P ∝ mh

P = kmh

when P = 784, m = 40kg, h = 2 meters

784 = k x 40 x 2

k = 9.8

P = 9.8mh

when m = 10kg, h = 3 meters

P = 9.8 x 10 x 3 = 294 joules.

In conclusion, the potential energy of the object at 3 meter height is 294 joules.

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Step-by-step explanation:

( First of all to convert quinary to decimal we need to multiply them by 5 )

So let's solve now.....

= 221

Solution,

Converting quinary number to decimal .....

= 2 × 5² + 2 × 5¹ + 1 × 5⁰

The value of any number to the power 0 is 1 ...

= 2 × 25 + 2 × 5 + 1 × 1

= 50 + 10 + 1

= 61..

Hence the answer is 61....

Answer:

3.5 inches by 4 inches

Step-by-step explanation:

Answer:

6.42 %

Step-by-step explanation:

3412.23 = 2500(1+i)^5

i = 6.42%

Answer:

Jimmy is correct

Step-by-step explanation:

The dimensions of the rhombus and square are probably almost the same

Answer:

2758 Nm

Step-by-step explanation

Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.

We usually find component using cos θ.

Here θ is 40°

Now, the modified equation becomes,

Work Done = Force * Distance * Component of force along the direction of distance

∴ Work = 30 N * 120 m * Cos 40°

⇒Work = 30 * 120 * 0.766

⇒Work = 2757.6 Nm

Rounding to the nearest whole number.

∴ The work done by force is 2758 Nm which is option B

The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.

The product of the force and displacement.

WD = F × d × cos θ

A traveler pulls a suitcase, as shown in the figure.

The force acting on the handle is 30 N at an angle of θ = 40°.

Then the amount of work done if the traveler moves 120 meters will be

WD = 30 × 120 × cos 40°

WD = 30 × 120 × 0.766

WD = 2758 Nm

Then the correct option is B.

A cart weighing 180 pounds rests on an incline at an angle of 35°.

The required force to keep the cart at rest will be

Fₓ = F × cos θ

Fₓ = 180 × cos 35°

Fₓ = 147.447 pounds

Then the correct option is C.

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Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.

Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.

The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on

It is to be noted that a general answer was provided here due to insufficient details in the question.

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Answer:

C.) 2(x-3)(x-4)

Step-by-step explanation:

I think so

Step-by-step explanation:

photos explain. in the second photo, A didnt start at 0 so it looked not accurate

Answer:

C (Square)

Step-by-step explanation:

Squares are quadrilaterals with 4 congruent sides. Since rhombuses are quadrilaterals with 4 congruent sides, squares are by definition also rhombuses.

The correct options are:

The probability you select a purple marble is 3/10

P(Red) + P(Yellow) + P(Purple) = 1

The probability you select a green marble is 0.

Probability calculates the chance that an event would happen. If it is certain that the event would not happen, it would have a value of 0. If it is certain that the event would happen, it would have a value of 1.

Probability of picking a red marble = total number of red marbles / total number of marbles

= 4/10

Probability of picking a purple marble =  total number of purple marbles / total number of marbles

3/10

P(Red) + P(Yellow) + P(Purple) = 4/10 + 3/10 + 3/10 = 1

Here is the complete question:

A bag contains four red marbles, three yellow marbles, and three purple marbles. You will randomly select one marble from the bag.

Which statements are true regarding the scenario? Check all that apply.

The probability you select a red marble is 3/10

The probability you select a purple marble is 3/10

P(Red) + P(Yellow) + P(Purple) = 1

The probability you select a green marble is 0.

The probability you select a yellow marble is 3.

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Answer:

b,c,d on edge

Step-by-step explanation:

trust

Answer:

Step-by-step explanation:

Percentage of birds in Forest B that are robins :

Percentage of sparrows that are in Forest A :

Percentage of birds in Forest A :

Answer:

36%

20%

20%

Step-by-step explanation:

Percentage of birds in Forest B that are robins :

No. of robins in Forest B / birds in Forest B

36 / 100

0.36

36%

Percentage of sparrows that are in Forest A :

Sparrows in Forest A / total sparrows

16 / 80

0.2

20%

Percentage of birds in Forest A :

Birds in Forest A / Total birds

25 / 125

0.2

20%

Answer:

I would be a right angle or 90°

Explanation:

If a square is cut out of the paper, every corner of a square is a right angle, so there's your answer.

hope i helped :)

The Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Goblin Girt take x minutes to count the coins in the bag alone.

Then we can frame an equation to find the value of x:

[tex]\rm \dfrac{1}{x}+\dfrac{1}{10}=\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=- \dfrac{1}{10}+\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=\dfrac{1}{15}[/tex]

x = 15 minutes (reciprocal on both sides)

Thus, the Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

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