a regular hexagonal nut of side 1 cm and length 3 cm with a central hole of diameter 1 cm. 3 cm 1 cm 1 cm. Calculate the volume of metal in the nut. (Ignore the thread and give your answer correct to 3 significant figures.) (WAEC]​

Answer:

Step-by-step explanation:

Using 3.14 as pi.

Perimeter of a circle = 2*pi*radius

= 2*3.14*10

= 62.8 cm

Area of a circle = pi*radius*radius

= 3.14*10*10

= 314 cm^2

Solution:

Formulas to remember:

Finding the circumference of the circle:

Finding the area of the circle:

Answer:

1 [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{10}{7}[/tex]

divide 10 by 7 = 1 remainder 3

the 1 is a whole number and the 3 is the amount of seventh's left , then

[tex]\frac{10}{7}[/tex] = 1 [tex]\frac{3}{7}[/tex]

Answer:

y=(x+2)(x-5)

Step-by-step explanation:

The roots of the function (where it touches the x axis) are (0,-2) and (0,5), so you have to pick the equation with those roots. This equation if y=(x+2)(x-5). This is because when y = 0, when you insert those roots as x values the right side also equals zero. For example:

0=(x+2)(x-5)

set x as -2

0=(-2+2)(-2-5)

0=0*-7

0=0

The same would also happen if you inserted 5, showing that this equation is the correct one for this set of roots.

Answer:

2) 50

Step-by-step explanation:

Basically, supplementary is when you add two angles, they should equal 180 degrees. In this picture, we can see that the bottom two rays form a straight line, indicating that it is a 180-degree angle, also. Great way to visualize, by the way. Well, 180 - 130 is 50 degrees, so x is equal to 50 degrees.

Answer:

2) 50

Step-by-step explanation:

x + 130 = 180

  -130     -130

x = 50

I hope this helps!

Answer:

21

Step-by-step explanation:

Result: -8

Subtract: 17

Multiply: -2

The key to finding the number is to reverse the steps given. So instead of subtracting then multiplying, it's supposed to be dividing then adding.

1) -8 / -2

2) 4 + 17

3) 21

How the answer was found with 21:

1) 21 - 17

2) 4 * -2

3) -8

Answer:

this dosent make sense i cant see the picture

Step-by-step explanation:

lol

Answer:

96 square units

Step-by-step explanation:

Add the areas of all of the polygons in the area net which represent the sides of the triangular prism:

SA = 2 small rectangles + 1 big rectangle + 2 small triangles

SA = 2(3 * 7) + (6 * 7) + (6 * 2)

= 42 + 42 + 12

= 84 + 12

= 96 square units

Answer:

Bottom box= 103/210

Middle-right box=19/30

Middle-left box=7/21

Step-by-step explanation:

we can convert 1/7 to 21ths so it will be easier to add.

1/7 = 3/21

so, 3/21 + 4/21 = 7/21

we can now use that to find the box next to it.

The LCM (lowest common multiple) of 21 and 30 is 210.

7/21 = 70/210

29/30 = 203/210

so 203/210-70/210 = 19/30 (simplified)

and finally, we can use this to work out the fraction in the bottom box.

LCM of 30 and 7 is also 210.

so 1/7 = 30/210

19/30 = 133/210

so 133/210 - 30/210 = 103/210.

Answer:

6

Step-by-step explanation:

tell me if I'm wrong:

b-bathroom

s-sweep

《in equation form》

s×3=18

18/3=6

so s=6

《explanation》

^ so you are going to divide 18 by 3 which gives you the answer 6^

Answer:

Step-by-step explanation:

Number of Newspaper Published in a day = 300,000

Each news paper must include a Comic section. To check whether each newspaper has comic section or not, the publisher must make a sample Size of 500 or 1,000 will be good . That is , the publisher has to check between Sample size of  either 600 or 300 newspapers ,whether it contain a comic section or not.

So, Just Taking  a newspaper from a  sample size of 600 or 1500 newspapers or 500 or 1000 newspaper and then checking whether it contains Comic section or not will be best way that publisher can adopt.

Time must be kept in mind by the publisher while choosing the sample size.

Answer:

12, 20, 28

Step-by-step explanation:

You simply have to add 4 to the given r-value to reach the s value. 8+4=12, 16+4=20, and 24+4=28.

Answer:

Im doing the same thing, i dont know the answer, Lol-

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Order of operations:

Solve:

56-12 / 6+4

56 - (12/6) +4  { No Multiplication but do have Division} (12/6 = 2)

56 - 2 + 4 {Subtraction ⇒ 56-2 = 54}

54 + 4 { Addition ⇒ 54 + 4 = 58}

Answer = 58

[RevyBreeze]

Answer:

Down 13

Step-by-step explanation:

The negative 13 is the b, and the b is on the y axis, negative means down

Answer:

y=x+6+3 it's d or c it's really hard

Answer:

1.5$

Step-by-step explanation:

if you divide 18 by 12 you get 1.5 meaning each avacado is 1.5$ incase of more explanation\simple explanation: 1.5+1.5+1.5+1.5+1.5+1.5+1.5+1.5=12$

Answer:

$18.00./12 avocados gives the right answer

Answer:

a. 493 ft.

b. 269 ft.

Step-by-step explanation:

Please see the attached pictures.

a. Since we are interested in the length of AD, and ∆ABD does not have a right angle, we should think about using sine rule or cosine rule. We are only given two lengths in ∆ABD thus let's find one more angle, ∠ABD.

∠ABD= ∠ABC -∠CBD

∠CBD= 10° (given)

Since the tower should be vertically upright from the ground, we can assume that ∠ABC is 90°.

∠ABD= 90° -10°

∠ABD= 80°

With 2 lengths and 1 angle, we can apply cosine rule to find the length of the 3rd side:

[tex]\textcolor{steelblue}{{ {c}^{2} = {a}^{2} + {b}^{2} - 2abcosC}}[/tex]

(AD)²= 500² +100² -2(500)(100)(cos80°)

After simplifying and taking the square root of both sides, we obtain:

AD= 492.58 (5 s.f.)

AD= 483 (3 s.f.)

Thus, the guy wire has to be [tex]\textcolor{red}{{483 ft}}[/tex].

__________

b. Here, we make the assumption that the 500 ft. is excluding the height of the antenna and each square unit has the same height.

The tower is made up of 12 boxes, while the second guy wire is connected to the 6th box of the tower from the ground.

12 boxes ----- 500 ft

6 boxes ----- 500 ÷2= 250 ft

Pythagoras' Theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Applying Pythagoras' Theorem,

x²= 100² +250²

x²= 72500

Taking the square root of both sides:

x= 269.26 (5 s.f.)

x= 269 (3 s.f.)

Thus, the length of the second guy wire is [tex]\textcolor{red}{{269 ft}}[/tex].

Answer:

a) 493 ft (nearest foot)

b) 269 ft (nearest foot)

Step-by-step explanation:

Part a

The guy wire creates a triangle with the tower with the following:

Therefore, as we have an angle with 2 adjacent side lengths, we can use the cosine rule to find the length of the unknown side opposite the angle.

cosine rule:  c² = a² + b² - 2ab cos C

(where C is the angle, a and b are the sides adjacent the angle, and c is the side opposite the angle)

Substituting given values into the equation and solving for c:

   c² = a² + b² - 2ab cos C

⇒ c² = 500² + 100² - 2(500)(100) cos(80°)

⇒ c² = 260000 - 100000cos(80°)

⇒ c = √[260000 - 100000cos(80°)]

⇒ c = 492.5801277...

Therefore, the length of the guy wire that is connected to the top of the tower and is secured at a point on the sloped side 100 ft from the base of the tower is 493 ft (nearest foot).

Part b

From inspection of the diagram, we can see that the second (left) guy wire is attached halfway up the height of the tower.

This guy wire creates a right triangle with the tower with the following:

Therefore, as we have the length of both legs of a right triangle, we can use Pythagoras' Theorem to find the length of the wire:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Substituting given values into the equation and solving for c:

   a² + b² = c²

⇒ 100² + 250² = c²

⇒ c² = 72500

⇒ c = √(72500)

⇒ c = 269.2582404...

Therefore, the length of the second guy wire is 269 ft (nearest foot)

Answer:

9 hours

Step-by-step explanation:

75 ----- 3

225 ---- x

[tex]x = \frac{(225)(3)}{75} =\frac{675}{75} =9 h[/tex]

Hope this helps

The height of the shipping container is 7 feet

A volume is the amount of space occupied by a three dimensional shape or object.

Let h represent the height of the shipping container. The volume of the prism is given by:

Volume = length * width * height

1120 = 20 * 8 * h

h = 7 feet

The height of the shipping container is 7 feet

Find out more on volume at: https://brainly.com/question/12410983

Answer:

x+y=30

2x+3y=80

multiplying equation one by -3 and add equation

-3x -3y=-90

2x +3y=80

2(10)+20(3)=80

80=80

Answer:

Step-by-step explanation:

The rule says that to find the number of years required to double your money at a given interest rate, you just divide the interest rate into 72. For example, if you want to know how long it will take to double your money at eight percent interest, divide 8 into 72 and get 9 years.

Answer: No. 8 is a factor of 16, but not a factor of 36.

Step-by-step explanation:

i-Ready

Answer:

24.57 Miles

Step-by-step explanation:

Hundredths Place Value

3 + 4 = 7

Put the 7 in Hundredths place

Tenths Place Value

0 + 5 = 5

Put the 5 in Tenths place

Ones Place Value

3 + 1 = 4

Put the 4 in Ones place

Tens Place Value

1 + 1 = 2

Put the 2 in Tens place

Step-by-step explanation:

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Answer:

0.41666666666 is the correct answer

Answer:

2/3 is the answer

40 minutes is 2/3 of one hour