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Answer:

1583362.7 termites

Step-by-step explanation:

A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound

The formula for the volume of a cone

= πr²h/3

Radius = r = 60cm

Height = h = 1.4 m

Converting to centimeters.=

1m = 100cm

1.4m = x

x = 1.4 × 100cm = 140 cm

Volume of the cone = π × 60² × 140/3

527787.5658 cm³

From the above question

1cm³ = 3 termites

527787.5658 cm³ = x

Cross Multiply

x = 3 × 527787.5658

x = 1583362.6974 termites

Approximately.= 1583362.7 termites

Answer:A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound

Step-by-step explanation:

Answer:

I'm so sorry I don't know the answer but I thought you should know that your pfp is pogchamp :))

Dream Team is life :p

Answer:

) ''You need to consider 200^o = 180^o + 20^o , hence you need to use the next formula to evaluate sin 200^o  in terms of k:

sin (alpha + beta) = sin alpha*cos beta + sin beta*cos alpha

Plugging alpha = 180^o , beta = 20^o  in the formula yields:

sin 200^o = sin (180^o + 20^o) = sin 180^o*cos20^o + sin 20^o*cos 180^o

Plugging sin 180^o = 0  and cos180^o = -1  in the formula yields:

sin 200^o = - sin 20^o = -k''

Step-by-step explanation:

''Given sin 20°=k express the following in terms of k a) sin 200° b) cos 20° c) tan(-20°) d) sin 70° Related to trigonometry.''     https://www.enotes.com/homework-help/given-sin-20-k-express-following-terms-k-sin-200-b-307263      hope this helps

Answer:

x = 1

Step-by-step explanation:

-5x+2(7x)=9

-5x+14x=9

9x=9

x=1

also you can use math_way to help solve this

Have a great day!

Answer:

[tex]80^{\circ} C[/tex]

Step-by-step explanation:

You are making rusks and have to dry them overnight at a temperature of 176° F.

The given temperature is in Fahrenheit. We need to convert it into °C.

The relation between Fahrenheit and  °C is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex]

Put F = 176

So,

[tex]C=\dfrac{5}{9}(176-32)\\\\C=\dfrac{5}{9}\times 144\\\\C=80^{\circ} C[/tex]

So, the temperature is equal to [tex]80^{\circ} C[/tex].

Answer:

11.75

Step-by-step explanation:

All angles of a right triangle equal 180°.

So you have to do a substitution method to find the value of x.

Which leaves us with: angle 'A' = 5 × 11.75, angle 'B' = ((3 × 11.75) -4), and angle 'C' = 90. If you add all of them together it is equivalent to 180°.

∴ x = 11.75

Question:

If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.

Coin wrapper volume = 27,480 mm^3

Coin diameter = 21.18 mm

Answer:

The thickness of a coin is: 1.95mm

Step-by-step explanation:

Given

[tex]V = 27480mm^3[/tex] -- volume

[tex]d = 21.88mm[/tex] --- the diameter

Required

The thickness of each coin

This implies that, we calculate the height of each coin.

First, calculate the radius (r) of the coin

[tex]r = \frac{1}{2}d[/tex]

[tex]r = \frac{1}{2} * 21.18mm[/tex]

[tex]r = 10.59mm[/tex]

The volume of the coin is calculated as:

[tex]V =\pi r^2H[/tex]

Where H represents the total heights of the 40 coins

[tex]27480 = 3.14 * 10.58^2 * H[/tex]

Solve for H

[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]

[tex]H = \frac{27480 }{ 351.480296}[/tex]

[tex]H = 78.1836145944[/tex]

The height of a coin is calculated by dividing H by 40

[tex]h = \frac{78.1836145944}{40}[/tex]

[tex]h = 1.95459036486[/tex]

[tex]h \approx 1.95mm[/tex]

Hence, the thickness of a coin is: 1.95mm

Answer:

there are one thousand (1,000) meters in a kilometer. So, 5,000 plus 10,000 is 15,000 meters.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

[3(a-2) / (a+2)(a-2)] - [6a / (a+2)(a-2)] = -3/(a-2)

Answer:

siudsckjznc

Step-by-step explanation:

Answer:

[tex]n=4[/tex]

Step-by-step explanation:

Expand  −2(1−7n):    −2+14n

5n+34=−2+14n

Subtract 34 from both sides

5n+34−34=−2+14n−34

Simplify

5n=14n−36

Subtract 14n from both sides

5n−14n=14n−36−14n

Simplify

−9n=−36

Divide both sides by −9

−9n

−9 =

−36

−9

Simplify

n=4​

Since they are parellel sides it will be efficiet as 13. Answer is 13.

Hope this helped ( thx if you give branliest as well)

Answer:

The answer would be 38.6

Step-by-step explanation:

Because you have to find the circumference of the half circles which would be 12.57 together then you add the two sides (13) together which would just be 38.57, but rounding up will make it 38.6.

Brainliest?

Answer:

Step-by-step explanation:

A cube has 6 square faces with equal areas by definition. So a cube with a surface area of 96 units would have the surface area of each side be 96/6 = 16 square units.

Because each face of a cube is a square, it has 4 equal sides. This means that each side of the square is 16/4 = 4 units in length. Since each side of the square face is also an edge of the cube, and the way to calculate the volume of a cube is (length of an edge)^3, this means that the volume of the cube must be 4^3 = 64 cube units.

Volume of Cube = 64 cube units.

The volume of the rectangular prism formed by 16 cubes of each surface area of 96 square inches is 1024 inches³

volume of a cube = l³

where

Therefore,

Surface area of a cube = 6l²

Hence,

96 = 6l²

l² = 96 / 6

l = √16

l  = 4 inches

Therefore,

volume of each cube = 4³ = 64 inches³

16 cubes forms the rectangular prsim. Therefore,

volume of rectangular prism = 16(64) = 1024 inches³

learn more on volume here: https://brainly.com/question/22992939

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

Answer:

233

Step-by-step explanation:

2=33=2=

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

Answer:

1. 3

2. 2 ⅖

3. 1 3/7

4. 3 ⅕

5. 5

Step-by-step explanation:

basically to find the answer, just see how many times the bottom number can go into the top number, if its not even just put the extra into a fraction ex question 2 3 and 4.

Answer:

the volume of a cube is equal to s3, where s is the length of a given side of the cube. Since the sides of a cube are all the same, the surface area of the cube is equal to 6 times the area of one face.

Step-by-step explanation:

total surface area prism=Laternal surface area +2(curved sectional area)

volume =area of base×height

Answer:

the value of this increase in percentage indices is 27.77%

Step-by-step explanation:

The computation of the  value of this increase in percentage indices is shown below:

Given that

The population has increase from 82,350 to 105,200

So, the increase in percentage would be

= (105,200 - 82,350) ÷ (82,350)

= 22,850 ÷ 82,350

= 27.77%

Hence, the value of this increase in percentage indices is 27.77%

Here is a video to help you with your question:

https://youtu.be/WaeD3qKc7Jc

Answer:

0.542

Step-by-step explanation:

divide the liter by 1000 and get your answer! have a great day

542 liters is approximately equal to 0.542.

Given that a quantity, 542 L we need to convert it into kL,

To convert liters (L) to kiloliters (kL), you need to divide the given value in liters by 1,000 since there are 1,000 liters in 1 kiloliter.

In this case, to convert 542 L to kL, you can use the following formula:

kL = L / 1000

Plugging in the given value:

kL = 542 L / 1000

Dividing 542 by 1000, you get:

kL ≈ 0.542 kL

Therefore, 542 liters is approximately equal to 0.542.

Learn more about Conversion Factor click;

https://brainly.com/question/30567263

#SPJ6

Answer to part (b)

y = 12000x

Step-by-step explanation:

This function represented in the graph is a linear equation. Since the function passes through the origin (0,0) we can assume that y = mx for some number m.

According to the graph, the function passes through the coordinate (2,24000)

the 2 in the cooridnate represents the x value, and the 24000 represents the y value. Since the function passes through the origin we can find the number m by dividing the y value of the given cooridinate by the x value of the same cooridinate

m = 24000/2

which can be simplified to

m = 12000

Therfore the line on the graph is a representation of y = 12000x

This equation can be used to solve part (c) by plugging in 10 as the x value, this will return, 120,000

NOTE:

The method which was used to find the function only works if the graph passes through the origin.

Answer:

[tex]1\frac{87}{100}[/tex]

Step-by-step explanation:

A decimal is another way of representing a fraction such that the denominator of the fraction is a power of (10).

In the number (1.87), the number goes two places behind the decimal point, which means that the denominator of the fraction is (100), and the numerator is the given number excluding the decimal point.

[tex]\frac{187}{100}[/tex]

Simplify, write as a mixed number,

[tex]1\frac{87}{100}[/tex]

Answer: I think the answer is $8.80

Answer:$8.80

Step-by-step explanation: You would take the 1.60 times 5 to get the number 8. Then you would take 1.60 again and times it by 0.5 to get 0.8 or 0.80. And then you would add the 0.8 and the 8 together to get your total of $8.80.

Answer:

y = 2x + 8

Step-by-step explanation:

We want an equation of the form y = mx + b (slope-intercept).

Look what happens to x as we go from (0, 8) to (1, 10):  x increases by 1.  This is the 'run' as we calculate the slope.

At the same time, y increases by 2 from 8 to 10.

The slope is defined as m = rise / run, and here is m = 2/1, or m = 2.

Write out y = mx + b and substitute 2 for m:  y = 2x + b.

To find the y-intercept, substitute 0 (from (0, 8) ) for x and 8 for y:

8 = 2(0) = b, so b = 8, and the desired equation is

y = 2x + 8