Select the correct answer. If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6​

Answer:

72 degrees

Step-by-step explanation:

Find the diagram attached. We are to find the length of the arc

Measure of arcABC = rtheta

16π = 10 theta

theta  = 16*180/10

theta = 16 * 18

theta = 288degrees

central angle = 360 - 288 = arc AC

central angle = 72degrees

Hence the arc measure of AC is 72 degrees

Answer:

Step-by-step explanation:

po ang sagot ko po

First the top right quart

area = 16, 4 * 4

Then the top left quart

making a 2 by 4 triangle followed with 4 additional square

making 2 * 4 * 1/2 = 4 + 4 meaning area = 8

then the bottom quart

Making a large triangle of 7 by 3

meaning 7 * 3 * 1/2 = 10.5

total area = 16 + 8 + 10.5 = 34.5

Answer:

11 1/9 ft^3

Step-by-step explanation:

find the complete question in the attached image

volume of the tank = length x width x height

2 x 5 x 1 2/3

2 x 5 x 5/3 = 50/3 = 16 2/3 ft^3

If the tank is 1/3 filled with water, the volume that needs to be filled with water is 1 - 1/3 = 2/3

volume that needs to be filled with water = 2/3 x volume of the tank

2/3 x 50/3 = 11 1/9 ft^3

Answer: 536.142 in^2

Step-by-step explanation:

trust the loli dragon jesus

Answer:

Step-by-step explanation:

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

[tex]\frac{4.50}{x}=\frac{100\%}{40\%}[/tex]

[tex]\frac{x}{4.50}=\frac{40}{100}[/tex]

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30

Answer:

solution = (3, 11)

Step-by-step explanation:

4x + 2y = 10

*subtract 4x from both sides*

2y = -4x + 10

*divide by 2* --> y = -2x +5

12x - 3 y = 3

*add 3y to both sides*

12x = 3y + 3

*subtract 3 form both sides*

12x - 3 = 3y

*divide by 3* --> y = 4x - 3)

2x + 5 = 4x - 1

*subtract 2x form both sides*

5 = 2x -1

*add 1 to both sides*

6 = 2x

*divide by 2x* --> x = 3

y = 2(3) + 5   (plug in 3 for x to solve for y)

y = 6 + 5

y = 11

Answer:

5 laps

Step-by-step explanation:

35\7

= 5

Therefore your ans is 5

Answer: y=2 and x=6

Step-by-step explanation:

x=3y

4x+5y=34

From equation ( 1) x=3y thus substituting in eqn(2)

4(3y)+5y=34

12y+5y=34

17y=34

y=34÷17=2

Thus y=2

Putting y=2 in eqn(1)

x=3y

x=3(2)

x=6

Step-by-step explanation:

I don't know what constructions you were taught.

a "similar" triangle is a triangle with exactly the same angles as the other triangle, but the lengths of all sides are stretched or shortened by the same scaling factor f.

by saying 1:2 she means the second triangle should have sides with twice the lengths of the first triangle (f=2).

and the extra challenge - same basic thing. she allows you to pick one of the two triangles as reference. and then you need to draw a third triangle (again with the same angles) with the side lengths extended by the scaling factor f of 4/3.

I would draw the triangles right on top of each other with the same starting corner (let's call it A) for all 3.

we would get the triangles ABC, AMN and AXY.

the points B and C would be then halfway on AM and AN.

and M and N would then a bit before X and Y on AX and AY.

the beauty is, you only need to construct 2 sides of every new triangle down to the new endpoints. the third side is automatically scaled correctly, and you only need to connect these new endpoints.

let's assume you draw a triangle (just very simple) ABC with all side lengths being 3. so, AB=3, AC=3, BC=3.

now you draw AMN by extending AB and AC to a side length of 6 (f=2) creating M and N, and you connect M and N.

and then you can create the third triangle AXY by extending AM and AN by a factor of 4/3 to side lengths of 8 (4/3 × 6 = 8) creating new end points X and Y. and you connect X and Y.

and that is it. all 3 triangles are similar (the same angles), and all sides of a triangle have the same length ratio to the sides of the other triangle(s).

orayt so 28 degree and 175 feet is about...the fox jumps into the lazy dog and say "c'mon barbie let's go party! ah ah ah yeah"....but i dont know the answer as well so thank you.

Answer:

Approximately [tex]329\; \rm ft[/tex], assuming that the ground between Bern and Frank is level.

Step-by-step explanation:

Refer to the diagram attached.

The kite is right above Frank. Therefore, the imaginary line segment (the dashed line segment in the diagram) would form a right angle with the ground under Frank. Bern, Frank, and the Kite would be the three vertices of a right triangle.

The question states that from the perspective of Bern, the angle of elevation of the kite is [tex]28^\circ[/tex]. In this right triangle, the side opposite to this angle would be the imaginary line segment between Frank and the kite over him. The question states that the length of this imaginary line segment is [tex]175\; \rm ft[/tex].

The question is asking for the length of the line segment between Bern and Frank. In the right triangle pictured in this diagram, that line segment would be the side adjacent to the [tex]28^\circ[/tex] angle.

The cotangent of [tex]28^\circ[/tex] would be the ratio between the length of these two sides:

[tex]\displaystyle \cot (28^\circ) = \frac{\text{adjacent}}{\text{opposite}}[/tex].

[tex]\begin{aligned}\text{adjacent} &= \text{opposite} \cdot \cot(28^\circ) \\ &= (175\; \rm ft) \cdot \cot(28^\circ) \approx 329\; \rm ft\end{aligned}[/tex].

Answer:

51.

Step-by-step explanation:

Step 1: Define/explain.

To find the range of a data set, subtract the smallest number from the largest number.

Step 2: Solve.

[tex]14, 23, 6, 54, 30, 26, 17, 3, 26[/tex]

[tex]54-3=51[/tex]

Step 3: Conclude.

I, therefore, believe the range of this data set is 51.

Answer:

-1 - i

Step-by-step explanation:

First, start by distributing the negative sign(-1), and you get:

5 - 6 - 3i + 2i

Next, combine the like terms, 5 & -6, and -3i & 2i.

This gives us: -1 - i

Answer:

The input is x2

Step-by-step explanation:

1*2=2

4*2=8 and the rest go on

Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

Answer:

there is not enough information

Answer:

-5,4

Step-by-step explanation:

Answer:

Its D.

Step-by-step explanation:

The expanded form of this number 630.052 is (6×100)+(3×10)+(5×1/100)+(2×1/1,000). Option D is correct.

Arithmetic is a branch of mathematics that studies numbers and the many operations that may be applied to them. The four basic math operations are addition, subtraction, multiplication, and division.

The expanded form of this number 630.052 is solved by the BODMAS rule ;

630.052= (6×100)+(3×10)+(5×1/100)+(2×1/1,000)

630.052=6×100+3×10+5×0.01+2×0.001

630.052=600+30+0.05+0.002

630.052=630.052

The expanded form of this number 630.052 satisfy the option D.

Hence option D is correct.

To learn more about the arithmetic operation;

brainly.com/question/20595275

#SPJ2

Answer:

c. 39

Step-by-step explanation:

you have to find the middle of this. 39 is the middle.

Answer:

x=16

Step-by-step explanation:

Both angles are verically opposite angles

so

4x+21=85

4x=85-21

4x=64

x=16

Answer:

113°

Step-by-step explanation:

triangles add up to 180°

180° - 34° - 33° = 113°

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

Explanation:

For any triangle, the three interior angles must add to 180 degrees

34+33+x = 180

x+67 = 180

x = 180-67 ... subtract 67 from both sides

x = 113

This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).

Answer:

B (-4,-4)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since it is currently at (4,2), reflecting it across y=-1 will bring the y-coordinate down to -4. After that, reflecting it across the y-axis will flip the sign in front of the x-coordinate, so 4 to -4. Therefore, your answer is (-4,-4).

Answer:

3. below

<D = 75°

<E = 37°

<F = 68°

4. below

<G = 50°

<H = 80°

<I = 50°

5. below

<A = 55°

<B = 90°

<C = 35°

Step-by-step explanation:

In a triangle, all angles add up to 180°, so we can set up equation accordingly:

3. m<E + m<F + m<D = 180°

6x + 1 + 68 + 13x - 3 = 180

19x + 66 = 180

19x = 114

x = 6°

We can substitute the value of x back into the expressions for each angle:

m<E = 6x + 1 = 6(6) +1 = 36 + 1 = 37°

m<F = 68°

m<D = 13x - 3 = 13(6) - 3 = 75°

4. m<G + m<I + m<H = 180°

2x + 2x + 4x - 20 = 180

8x - 20 = 180

8x = 200

x = 25°

We can substitute the value of x back into the expressions for each angle:

<G = 2x = 50°

<H = 4x - 20 = 4(25) - 20 = 80°

<I = 2x = 50°

5. m<B + m<C + m<A = 180°

90 + 3x + 5 + 5x + 5 = 180

100 + 8x = 180

8x = 80

x = 10°

We can substitute the value of x back into the expressions for each angle:

<A = 5x + 5 = 5(10) + 5 = 55°

<B = 90°

<C = 3x + 5 = 3(10) + 5 = 35°

Answer:

B. (2, 1/64)

Hope this helps!

for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!

BCA necau u must add the 3 together

Answer:

2 1/4

Or as a fraction

9/4