The question is up there ☝

Given:

The height of a right cone = 14 in

Base diameter = 17 in

To find:

The diagram of the cone and its lateral surface area.

Solution:

(a)

The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.

Diagram is not to scale.

(b)

We know that lateral surface of the cone is

[tex]A=\pi rl[/tex]

[tex]A=\pi r\sqrt{r^2+h^2}[/tex]              ...(i)

Where, r is the base radius, h is vertical height and l is the slant height of the cone.

Base radius of the cone = [tex]\dfrac{\text{Base diameter}}{2}[/tex]

[tex]r=\dfrac{17}{2}[/tex]

[tex]r=8.5[/tex]

Now,

Putting r=8.5, h=14 and π=3.14 in (i), we get

[tex]A=(3.14)(8.5)\sqrt{(8.5)^2+(14)^2}[/tex]

[tex]A=26.69\sqrt{72.25+196}[/tex]

[tex]A=26.69\sqrt{268.25}[/tex]

[tex]A=437.1379[/tex]

[tex]A\approx 437[/tex]

Therefore, the lateral surface area of the cone is 437 sq. inches.

Missing information:

[tex]r = 3cm[/tex]

[tex]h = 1cm[/tex]

Options:

(a) [tex]\pi * 3^2 * 15[/tex]          (b) [tex]\pi * 3* 15^2[/tex]

(c) 15 times the volume of the disk

(d) The height of the stack multiplied by [tex]\pi r^2[/tex]

Answer:

(b) [tex]\pi * 3* 15^2[/tex]

Step-by-step explanation:

Given

15 identical disks

[tex]r = 3cm[/tex]

[tex]h = 1cm[/tex]

Required

Determine the odd option

The volume of 1 disk is:

[tex]V_1 = \pi r^2h[/tex]

[tex]V_1 = \pi * 3^2 * 1[/tex]

The volume of 15 is:

[tex]V_{15} = 15 * V_1[/tex]

[tex]V_{15} = 15 * \pi * 3^2 * 1[/tex]

[tex]V_{15} = \pi * 3^2 * 15[/tex]

The above equation represents (a), (c) and (d)

Because:

(a):  [tex]V_{15} = \pi * 3^2 * 15[/tex]

(c) 15 * volume of the disk: [tex]V_{15} = 15 * V_1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]

(d) height * [tex]\pi r^2[/tex] = h * [tex]\pi r^2[/tex] = [tex]15 * \pi * 3^2 * 1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]

Hence, (b) is the odd option

Perpendicular lines has negative reciprocal slopes.

"Negative reciprocal" is just a fancy way of

saying flip the fraction and change the sign.

So flipping the fraction gives us -3/2 and change the sign to get +3/2.

Answer:

I guess its 16

Step-by-step explanation:

Because

Hieght =6cm

Base = 8cm

Hypotenuse=?

by pythagoras formula = a^2+b^2=c^2

6 *6 + 8*8 =c^2

36 + 64 = c^2

100 =c^2

Root of 100 is 10

so the whole tree is = to 10 +6 =16

Answer:

[tex]|LN| = 24[/tex]

Step-by-step explanation:

Given

[tex]LM:MN:NO = 3:1:2[/tex]

[tex]LO = 30[/tex]

Required

Find LN

[tex]LN = LM + MN[/tex]

From the ratio, LM = 3 and MN = 1

So:

[tex]LN = 3 + 1[/tex]

[tex]LN = 4[/tex]

LN and NO can be represented as:

[tex]LN : NO = 4 : 1[/tex]

The length of LN is then calculated as:

[tex]|LN| = \frac{LN}{LN+NO}*|LO|[/tex]

[tex]|LN| = \frac{4}{4+1}*30[/tex]

[tex]|LN| = \frac{4}{5}*30[/tex]

[tex]|LN| = \frac{4*30}{5}[/tex]

[tex]|LN| = \frac{120}{5}[/tex]

[tex]|LN| = 24[/tex]

Answer:

Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

Answer:

Let the adjacent angles of the rhombus be 2x and 3x.

we know that the sum of the measures of the adjacent angles is equal to 180°.

2x+3x=180

=5x=180

=x=180/5

=x=36°

Hence,AB =BC=2×36°=72°

AD=DC=3×36°=108°

Hence,The angles of the rhombus are 72°,108°, 72°and108°.

I hope it's helpful!

Answer:

Do not multiply the coefficients and the exponents. Remember, using the Product Rule add the exponents when the bases are the same.

In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Solve expression by using the product rule for exponents.

Now, We know that;

In the product rule for exponents;

When expression have same base then its exponents are add and the coefficients of expression are written as same as write in expression

Hence, In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:

x = 5

Step-by-step explanation:

Given that, exterior angles on the same side of a traversal are supplementary a Hence, sums up to 180°

Given the angles:

7x° + 11x° + 90° = 180°

18x° + 90° = 180°

18x° = 180° - 90°

18x° = 90°

x = 90° ÷ 18

x = 5

Answer:

The Person ^ is Correct the Answer is X=5

Step-by-step explanation

You Have a Brain, Use It

Answer:

£2.4 is the anwser im pretty sure

Step-by-step explanation:

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Answer:

-1.19164 x 10^8

Step-by-step explanation:

Step-by-step explanation:

an = -9 + 7(n-1)

because you start at -9 and go up by increments of 7

Answer:

5.0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

Number of books, b α number of children enrolled

b α C

b = kC

Number of books, b = 3 for each child, c = 1 enrolled

Total number of books in class room :

Total number of books = Number of books per child * Number of child)

Total number of books = 3 * Numbe of child

The answer is c i believe

Answer:

x is 60 and y is 50

hope it helped have a good day mate

Answer:

X + 2y = 6

first point : ( 0,3 )

second point : ( 4,1 )

third point : ( 2,2 )

forth point : ( 6,0 )

2x + 4y = 4

first point : ( 0,1 )

second point : ( 2,0 )

third point : ( -2,2 )

forth point : ( -4,3 )

Answer:

1. 41

2. 235

3. 32

4. 48

5. 5

6. 273

7. .06

8. 6.6

9. 6.3

Step-by-step explanation:

Answer:

1=41

2=235

3=32

4=48

5=5

6=273

7=0.06

8=6.6

9=6.3

Answer:

√3

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2 + b^2 = c^2

In this case, c = 2, which means that a^2 + b^2 = 4

Since we know that a = 1, this means that a^2 is also 1. So, we know that b^2 = 4 - 1

Therefore, b^2 = 3

So, the answer is square root 3

Plz mark as brainliest :D!

Answer:

The answer would be 299

Step-by-step explanation: Just plug in 74 into x

The proportion of 16 to 4 is 4 is 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

Answer:

Step-by-step explanation:

The proportion of 16 to 4 is 4 so 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

Answer:

60km/h

Step-by-step explanation:

Answer:

[tex] \frac{a}{b} = \frac{3}{2} [/tex]

Step-by-step explanation:

Since both the triangles are similar, so their corresponding sides would be in proportion.

Therefore,

[tex] \frac{a}{b} = \frac{2.1}{1.4} \\ \\ \frac{a}{b} = \frac{3}{2} [/tex]

Answer: 9 cm

Step-by-step explanation:

I took the test

Answer:

24 sq units

Step-by-step explanation:

Answer:

24 square units

Step-by-step explanation:

The boxes that only have a half-shaded in can be counted as 0.5.

If you combine these half-shaded boxes, it will give you 1.

Since there are 8 half-shaded boxes, that equal to 0.5, you can multiply these together and get 4.

Add this to the 20 whole boxes, and you will get 24.

Answer:

Look down below!

Step-by-step explanation:

Fist, make your inequality:

-x + 5y > -10

5y > x - 10

y = .2x - 2

Now, plug in any value of x to find y!

Ex:  x = 5...

y = .2 (5) - 2

y = -1

Your first coordinate could be (5, -1)

Hope this helps!

Answer:

Andre has more money.

Answer:

It b

Step-by-step explanation:

We know this because 1/2 is 0.5 while 2/3 is 0.67. With this we can say that 1/2 is least than 2/3

Hope this Helped

Answer:

The answer is Step 2: m<w + m<z = 180 degrees (suppplmentary angles).

Step-by-step explanation:

First, Step 2 says m<w - m<z = 90 degrees. That's false because the m<w - m<z  would equal an acute angle, not a right angle. Secondly, the m<w + m<z = 180 degrees. Supplementary angles equal 180 degrees.

Answer:

10 pieces

Step-by-step explanation:

She gave herself 4 pieces, and each child 2 pieces. If she has 3 children, she gave them 6 pieces.

(3*2=6) and then you add with the amount she gave herself, (6+4) that would be 10.  She started with 10 pieces.

An equation would be:

x= 4+(2*3)

I hope this helps!

(Also this equation seems a bit easy, am I reading it wrong? If I am be sure to correct me :) )

Answer: see the explanation

Step-by-step explanation:The perimeter is the distance around the outside of a shape. Perimeter is measured in units (e.g., cm). The area is the amount of space the inside of the shape takes up. Area is measured in square units (e.g., cm2).

Answer:

[tex] - 8x + 120y - 56[/tex]

Step-by-step explanation:

evaluate the power calculate

[tex]8(1 x + 3 \times 5y - 7[/tex]

the coefficient of 1 doest have to be written but keep the sign

[tex]8( - 1x + 15y - 7[/tex]

remove the parentheses