Find the total surface area of this cone, leaving your answer in terms of π

Find The Total Surface Area Of This Cone, Leaving Your Answer In Terms Of

Answers

Answer 1

The total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

What is a cone?

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The total surface area of a cone is given by its curved surface area plus area of its base.

Total surface area = curved surface area + area of base

Total surface area = πrl + πr²

Given that;

Radius r = 5cmSlant height l = 9cmTotal surface area TSA = ?

Total surface area = πrl + πr²

Total surface area = ( π ×  5cm × 9cm ) + ( π × (5cm)² )

Total surface area = 45πcm² + 25πcm²

Total surface area = 70πcm²

Therefore, the total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

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Answer 2

Answer:

70

Step-by-step explanation:


Related Questions

There are 20 students on the student council at Nina's school. Eight of the students are in Nina's math class, 6 of the students are in her science class, and 4 students are in both her math and science classes.

If 2 members of the student council are randomly chosen, what is the probability that both are in Nina's math or science class?

Answers

Step-by-step explanation:

out of the total possibilities of 20 student council members, 8 are in Nina's math class, and 6 are in Nina's science class.

as I understand the given information, out of these 14 council members, 4 are in her math and in her science class. but this is then irrelevant for the question (and do not add more possibilities), as these 4 are already covered by the 8 and 6 in her individual classes.

remember, a probability is always

desired cases / possible cases

so, let's pick the first random choice :

the probabilty to pick one that is either in her math or her science class is

14/20 = 7/10

because there are 20 total possibilities to pick from, and 14 of these 20 are in at least one of her classes.

now let's pick the second one.

I assume the first pick has not been returned to the pool and cannot be picked a second time.

so, this time we have therefore only 19 total choices, and 13 of them are in at least one of Nina's classes.

so, the probability for the second pick is

13/19

so, the probability that both picks are in at least one of her classes is then the combination of both probabilities (they have to happen together) :

7/10 × 13/19 = 91/190 = 0.478947368...

Which triangle is not similar to the other two triangles?

Answers

Answer:

First choice top-down

Step-by-step explanation:

The Similarity Theorem Side-Angle-Side it can be checked here to see what triangles are similar.

All 3 triangles have 2 congruent sides so the triangles are all isosceles.

The base angles of isosceles triangles are congruent so knowing this and that the sum of angles in a triangle is 180° we can calculate the measure of all angles.

180-20 = 160; 160/2 = 80°

180-30 = 150;  150/2 = 75°

Now we can conclude that  Δ JLK is not similar with Δ MNO ≈ ΔPRQ

Please help!

Select the correct answer. What are the factors of this quadratic function? the graph of a quadratic function with a maximum value at the point (3,4) and zeros at 1 and 5 A. (x − 1) and (x − 5) B. (x + 1) and (x + 5) C. (x − 1) and (x + 5) D. (x + 1) and (x − 5)

Answers

The factor of the quadratic equation will be (x − 1) and (x − 5). Then the correct option is A.

What is a quadratic equation?

It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.

The graph of a quadratic function with a maximum value at the point (3,4) and zeros at 1 and 5.

Then the factor of the quadratic equation will be (x − 1) and (x − 5).

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Answer:

A.

Step-by-step explanation:

Angelo can run 3 miles in 22
minutes. At this rate, how many
miles could she run in 33 minutes?

Answers

Answer: 4.52 miles

Step-by-step explanation:

What is the value of the expression below? (4^2)^1/4

Answers

Answer:

the value for the expression for below is (4^2) ^1/4 is 2

Answer:

2

Step-by-step explanation:

Exponent law

[tex]\sf \boxed{(a^m)^{n}=a^{m*n}}[/tex]

  [tex]\sf (4^2)^\frac{1}{4}=4^{2*\frac{1}{4}}[/tex]

          [tex]\sf = 4^{\frac{1}{2}}\\\\ = \sqrt{4}\\\\=2[/tex]

The eccentricity of the conic section
graphed is:
a. Zero
b. Between 0 and 1
c. One
d. Greater than 1

Answers

The eccentricity of the conic section that is graphed is C. One.

What is eccentricity?

It should be noted that the eccentricity of the clinic section simply means the distance from the point to its focus.

In this case, the eccentricity of the conic section that is graphed is one. The eccentricity value is usually constant for any conics.

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Answer:

The answer is B. Between 0 and 1

Step-by-step explanation:

how do you show that 2/11 is a repeating decimal

Answers

.18 with a bar above it

what is the value of 5 in 564,242

Answers

Answer:

The value of 5 is 500,000

Step-by-step explanation:

becuse their is 5 numbers behind it making it equivilant to 500,000

Hey there!


EXPANDED FORM:

500,000
+ 60,000

+ 4,000

+ 200

+ 40

+ 02


WORD FORM:

Five hundred 6

Sixty four thousand, two hundred forty two


PLACE VALUE FORM

5: 500,000 (hundred thousand)

6: 60,000 (ten thousand)

4: 4,000 (thousand)

,

2: 200 (hundreds)

4: 40 (tens)

2: 02 (ones)


To sum it is all up {5} is in the: [hundred thousands] place


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

solve for x
50 points. Thanks

Answers

Answer:

x = 7

Step-by-step explanation:

From the figure, we can see the figure is a right triangle. To find the value of x, we need to apply the Pythagorean Theorem.

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

Solving :

⇒ (x)² + (24)² = (x + 18)²

⇒ x² + 576 = x² + 36x + 324

⇒ 36x = 576 - 324

⇒ 36x = 252

⇒ x = 252/36

x = 7

Apply Pythagorean theorem

H²-P²=B²(x+18)²-x²=24²(x+18+x)(x+18-x)=576(2x+18)(18)=5762x+18=322x=14x=7

What is 2x-x^2=1 in standard form

Answers

Answer:

Answer is in attachment

Mark brainliest pls :)

An isosceles triangle is such that each of the base angles is twice the vertical angle. find the angles of the triangle​

Answers

Answer:

2x + 2x + x =180
x = 36 degree

Step-by-step explanation:

Help me on this math problem please!! DUE TONIGHT!!

Answers

Answer:

48 + 2x = 120

x = length od long side.


I don’t understand what to do, it says to find the area of the figure and I don’t know what that means.

Answers

Answer:

area is length x width multiply one side by the other

Step-by-step explanation:

Which expression is a factor of 12x2 29x – 8? x – 8 2x – 1 3x 8 4x 1

Answers

The factorization of the given expression is:

p(x) = (x - 2.66)*(x - 0.25)

Which expression is a factor?

We have the quadratic equation:

12x^2 + 29x - 8

To get the factors we need to find the roots, then we use Bhaskara's formula:

[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*(-8)*12} }{2*12} \\\\x = \frac{-29 \pm 35}{24}[/tex]

Then the solutions are:

x = (-29 + 35)/24 = 0.25

x = (-29 - 35)/24 = -2.66

Then the factors of the expression are:

(x - 2.66) and (x - 0.25)

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How many solutions does the equation have? 0=3x^2-5x-5

Answers

Answer:

2 real solutions

Step-by-step explanation:

Since the degree of the polynomial is 2, then there are 2 solutions for the equation, but we don't know if they are both complex or both real.

Since the discriminant is [tex]b^2-4ac=(-5)^2-4(3)(-5)=25+60=85 > 0[/tex], then there are 2 real solutions.

A rectangular garden measures by 30ft and 40ft. Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this path. Be sure to include the correct unit in your answer

Answers

Answer:

312 ft²

Step-by-step explanation:

Area of the garden = Length x Width

Area of the garden = 30 x 40 = 1200ft²

Length of the garden and path = Length of the garden + 3 ft on both sides

Length of the garden and path = 30 + 3 + 3 = 36 ft

Width of the garden and path = Width of the garden + 2 ft on both side

Width of the garden and path = 40 + 3 + 3 = 46 ft

Area of the garden and path = Length x Width

Area of the garden and path = 36 x 46 = 1512 ft²

Area of the path = Area of the garden and path - Area of the garden

Area of the path = 1512 - 1200 = 312 ft²

Answer: 312 ft²

4. Find the value of x to the nearest tenth.
35
o
11
O
12.9
O
6.3
O
-10

Answers

Answer:

11

Step-by-step explanation:

If Hal usually mows 21 yards per week, how many yards does he average per day?
(will mark brainliest)​

Answers

Answer:

3 yards per week

Step-by-step explanation:

21÷7=3

3 yards per week

hope this helps

Answer:

3 yards per day

Step-by-step explanation:

Given :

Hal mows an average of 21 yards per week

To Remember :

There are 7 days in a week

Solving :

Avg. yards per day = Avg. yards per week / No. of days in a weekAvg. yards per day = 21/7Avg. yards per day = 3 yards per day

What is the sum of this question

Answers

Answer:

C. 7x + 45

Step-by-step explanation:

To start answering this question, let's first distribute the 6 * ( x + 7 ) so that we can add like terms to simplify.

So let's multiply the 6 out to the ( x + 7 ) to get ( 6x + 42 ).

Now the complete expression reads: 6x + 42 + ( x + 3 )

With this, we can add all the like terms( 6x and x, and 42 and 3) together.

So we end up with 6x + x + 42 + 3 = 7x + 45

So the correct answer is C. 7x + 45

Triangle fgh is an isosceles right triangle with a hypotenuse that measures 16 units. an altitude, line segment g j, is drawn from the right angle to the hypotenuse. what is the length of line segment g j? 2 units 4 units 6 units 8 units

Answers

The square of the altitude is equal to the product of the base of the triangles

Triangular altitude theorem

The square of the altitude is equal to the product of the base of the triangles. The length of line segment GJ is 8units

According to the theorem;

GJ² = HJ*JF

Determine the value of x using the pythagorean theorem

[tex]x^2+x^2=16\\2x^2=16\\x^2=8\\x=\sqrt{8}\\x=2\sqrt{2}[/tex]

According to the theorem;

GJ² = HJ*JF

HJ + JF = 16

Since HJ = JF, hence

HJ = JF = 8

Substitute

GJ² = HJ*JF

GJ² = 8 * 8
GJ² = 64

GJ = 8units

Hence the length of line segment GJ is 8units

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Answer:

8

Step-by-step explanation:

A circle has a diameter of 12 units, and its center lies on the x-axis. what could be the equation of the circle? check all that apply. (x – 12)2 y2 = 12 (x – 6)² y² = 36 x² y² = 12 x² y² = 144 (x 6)² y² = 36 (x 12)² y² = 144

Answers

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.

The center of the circle is at x axis (*, 0), the equation could be:

(x - 6)² + (y - 0)² = 6²

(x - 6)² + y² = 36

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

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∠A and \angle B∠B are supplementary angles. If m\angle A=(3x+9)^{\circ}∠A=(3x+9)

and m\angle B=(6x+27)^{\circ}∠B=(6x+27)

, then find the measure of \angle A∠A.

Answers

78 is the answer

Step-by-step explanation:

The two angles are complementary so m<A + m<B = 90

we are given m<A = 3x + 9 and m<B = x - 11

substituting we get 3x + 9 + x - 11 = 90

4x - 2 = 90

4x = 92

x = 23

m<A = 3x + 9 = 3(23) + 9 = 78

Find the slope of the line that passes through (3, 6) and (8, 7)

Answers

Answer:

The slope of this line is 1/5

Step-by-step explanation:

You can find the answer easily by graphing the problem. In doing so, you will find the slope (rise over run) to be one over five. This is because you rise one unit, and run five.

Bananatown is 75 miles due east of
Appleton. The distance from
Bananatown to Cherryville is 83 miles.
How far is Appleton from Cherryville?

Answers

Answer:

8 miles

Step-by-step explanation:

because 83-75=8 miles

Answer the questions below.
asapppppppppppppppppp

Answers

Answer:

a. mode

b. median

c. median

Step-by-step explanation:

the mode is the most common number

the median is when you order the numbers in order and use the middle number

Help Please…. I don’t really understand the question

Answers

Step-by-step explanation:

if you don't even understand the question, this is also something you need to tell your teacher. it is his/her job to make you understand it.

a probability is always

desired cases / possible cases

so, if we pick a single student randomly, how many possible options do we have ?

we have 2+5+6+9 = 22 students (as the 4 categories in the table are mutually exclusive).

therefore, our possible cases to pick a student are 22.

now, how many of these 22 students represent our desired cases ?

male, who does not have an A : 9

so, the probability to pick a student who is male and does not have an A is

9/22 = 0.409090909...

What is (m - 5) divided by 4 where m = 17

Answers

m=17
(17-5)/4
=12/4
=3

Please help I don’t know how to do this

Answers

Step-by-step explanation:

when 2 objects are similar, that means that all the angles of one object are the same as the angles in the other object. and - the scaling factor of one pair of correlating sides is the same for all pairs of correlating sides.

therefore,

x/2.7 = 4.8/3.6 = 4/3

x = 4×2.7/3 = 4×0.9 = 3.6 m

I’ll give brainliest!

Answers

Answer:

y = -x + 4

Step-by-step explanation:

y = mx + b

m - since the line is going downwards. the slope is negative

slope = rise / run = 1 / 1 = 1 but negatuve siunce diwnawards

b - this the y - intercept (when x = 0), the point of intersect is (0, 4)

2
What value of x makes the equation below true?
3.3x + 3.0 = 16.2

A 9.9
B. 5.82
C. 4
D. 1.64

Answers

The answer is 4

Since 3.3x 4 is 13.2 and plus 3.0 is 16.2
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