select two figures that have the same volume. A. cone with base radius 6 and height 3. B. cone with base radius 5 and height 6. C. cone with base radius 4 and height 9. D. cone with base radius 3 and height 12 ​

Do you mean the 5th roots of 1? Or the 5th roots of 1^(1/5), i.e. the 5th roots of the 5th roots of 1?

I assume you mean the former. To begin with,

1 = exp(0°i ) = cos(0°) + i sin(0°)

Take the 5th root, i.e. (1/5)th power of both sides, so that by DeMoivre's theorem,

1^(1/5) = [ cos(0°) + i sin(0°) ]^(1/5)

1^(1/5) = cos((0° + 360°n)/5) + i sin((0° + 360°n)/5)

where n = 0, 1, 2, 3, or 4. Then 1^(1/5) has the 5 possible values,

• cos(0°/5) + i sin(0°/5) = 1

• cos(360°/5) + i sin(360°/5) = cos(72°) + i sin(72°)

• cos(720°/5) + i sin(720°/5) = cos(144°) + i sin(144°)

• cos(1080°/5) + i sin(1080°/5) = cos(216°) + i sin(216°)

• cos(1440°/5) + i sin(1440°/5) = cos(288°) + i sin(288°)

If you wish, or are required to, you can go on to write these in terms of radicals by expanding cos(5x) and sin(5x) (where x = 72° so that 5x = 360°). For example,

cos(5x) = cos⁵(x) - 10 cos³(x) sin²(x) + 5 cos(x) sin⁴(x)

cos(5x) = cos⁵(x) - 10 cos³(x) (1 - cos²(x)) + 5 cos(x) (1 - cos²(x))²

cos(5x) = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)

which follows from the expansion

(cos(x) + i sin(x))⁵ = cos(5x) + i sin(5x)

due to DeMoivre's theorem and equating the real parts. Then cos(5x) = 1, and you can try to solve for cos(x) :

1 = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)

Actually, it would be easier to find sin(x) first, since sin(5x) = 0. The expansion in terms of sin(x) will look quite similar to the one shown here.

Answer:

whats the equation??

Step-by-step explanation:

i need to know what the equation looks like to answer

A decrease in the ratio 4:5 implies that :

New quantity:Old quantity = 4:5

Let the new quantity be [tex] \bf \: x[/tex]

[tex] \bf∴ x : 40 = 4:5[/tex]

[tex] = > \bf \frac{x}{40} = \frac{4}{5} [/tex]

[tex] \bf = > 40 \times \frac{x}{40} = 40 \times \frac{4}{5} [/tex]

[tex] \bf = > x = 8 \times 4[/tex]

[tex] \bf = > x = 32[/tex]

So, the new quantity is 32

Answer:

Step-by-step explanation:

As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise).  Thus, the slope of this line is

m = rise/run = 4/2 = 2.

Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.

From this we get the point-slope form:

y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.

Answer:

25:10

Step-by-step explanation:

Answer: 9.4

a² + b² = c²

5² + 8² = c²

25+64=c²

89 = c²

√89 = √c²

9.4 = c

Step-by-step explanation:

Answer: 9.4

a² + b² = c²

5² + 8² = c²

25+64=c²

89 = c²

√89 = √c²

9.4 = c

Answer:

130 students do not ride the bus to school.

Step-by-step explanation:

520 * .75 = 390

390 students ride the bus to school.

520-390=130

130 students do NOT ride the bus to school.

Hope this helps! :)

Answer:

How do you calculate a 35% markup?

Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.

Answer:

14.8 cm

Step-by-step explanation:

Volume of the block: 25 × 13 × 10 = 3250

Side length of the cube: [tex]\sqrt[3]{3250}[/tex] ≈ 14.8

Answer:

14.8

Step-by-step explanation:

Volume of box = volume of cube

Answer:

4 flowers

Step-by-step explanation:

First we need to calculate the circumference of the plate.

C = πd

Given

diameter d = 20cm

C = 3.14(20)

C = 62.8 cm

If there is a flower painted every 15.7 centimeters around the edge of the plate, the amount of flower on the plate will be;

Number of flower = Circumference of the plate/length of flower

Amount of flower = 62.8/15.7

Amount of flower = 4

Hence there are 4 flowers painted on the plate

Answer:

4

Step-by-step explanation:

Answer:

-62

Step-by-step explanation:

Answer

46

Step-by-step explanation:

6(32)−8

=(6)(9)−8

=54−8

=46

Answer:

y = -6x - 39

Step-by-step explanation:

A parallel line will have the same slope so m= -6, but it will have different points.

So we have y= -6x + b and the points are (8,9)

Substitute that in

9 = -6*-8 + b

9 = 48 + b

subtract 48 on both sides

9-48 = 48 - 48 + b

-39 = b

so equation is

y = -6x -39

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Answer:

y=-6x+9

0=-6x+9

6x=9

x=9/3

x=3/2

Answer:

10

Step-by-step explanation:

The sum of the measures of the exterior angles in a convex polygon is 360°. And each exterior angle measure 36 degrees so Number of side will be 10.

Answer:

y= -9+√122, or -9 - √122

Step-by-step explanation:

You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.

after solved, I got the answer as decimal,

y = 2.0453610.....

i simpler form : y = 2.05

Also, an answer can be y= -9+√122, or -9 - √122

Answer:

[tex]\sqrt{65}[/tex]

Step-by-step explanation:

Please see work attached.

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Answer:  [tex]\sqrt{65}[/tex]

Step-by-step explanation:

distance formula is [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2}}[/tex]

take the 2points in the given (-4,-5) as ([tex](x_{1},y_{1} )[/tex]) and (3,-1) as [tex](x_{2},y_{2})[/tex]

and just substitute to get [tex]\sqrt{65}[/tex]

Answer:

y+1=6(x-4)

This is if you want it in point slope for,.

Step-by-step explanation:

Then, if you simplify it.

y+1=6x-24

y=6x-25

Now, it is in slope intercept form.

Answer: 15

Step-by-step explanation:

The average number of cars sold for entire 8 days is $33250.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, a new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.

So, number of cars sold for 5 days =28,000×5

= 140000

The next 3 days she worked, she sold an average of $42,000.

Number of cars sold for 3 days

= 42,000×3

= 126000

So, average of 8 days =(140000+126000)/8

= 266000/8

= 33250

Therefore, the average number of cars sold for entire 8 days is $33250.

To learn more about an average visit:

https://brainly.com/question/11195029.

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Answer:

0.13 0.13 3.1.3

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Answer:

112 cups

Step-by-step explanation:

multiply the gallons by 16 to get 112 cups

Answer:

112 U.S Cups

Step-by-step explanation:

Complete question :

A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12

more feet to get a better look at a coral reef.

What is the scuba diver's final position relative to sea level?

Answer:

- 22 feets

Step-by-step explanation:

Given that:

Starting position of scuba diver = 10 feets below sea level = - 10 feets

Then a further descent of 12 feets in other to get a better look of the coral Reef

Further descent = - 12 feets (below sealevel)

Hence, Final position of the scuba diver will be:

Starting position + depth of further descent

(-10 + - 12) feets

-22 feets

Answer: 5 inches

Step-by-step explanation:

Length of souvenir = 15 cm

If 1 inch = 3 centimeters

Length of souvenir in inches :

To obtain the length of souvenir in inches :

Divide the number of inches by 3

Length of souvenir / 3

15 / 3 = 5

Hence, the length of souvenir in inches = 5 inches

Answer:

Derek; by 11600 m.

Step-by-step explanation:

Convert 1.5km into m.

1.5 is 1500m.

1500 * 12 = 18000 m

8 * 800 <= Lucy

6400 m  <= Lucy's distance

18000-6400=11600m

Based on the information, Derek went further by 11600m.

Lucy did 8 laps of an 800m. The total distance will be:

= 8 × 800m

= 6400m

Derek did 12 laps of a 1.5km track. The total distance will be:

= 12 × 1500m

= 18000m

Therefore, the difference will be:

= 18000m - 6400m

= 11600m

Learn more about multiplication on:

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ABM=CDM-DMC=BAM alternate interior angles

AMB=CMD verticle angles

triangle AMB=CMD by ASA

A=c CPTC

ABD=BDC, BAC=ACD, ADB=DBC by CPCTC

AM=CM def of a Parallelogram

2.

△

RPQ is an isosceles triangle. C is the midpoint of line RQ- Given

RPC=QPC- construction

PC=PC reflective property

∠

RPC= QPC- SAS

Answer:

x<5

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

First, subtract 10 from both sides which will give you −5x>−25.

Then just divide both sides by -5 and you should get the same answer x<5

I hope this helps :)