Find the surface area of a cone with a radius of 4cm and a slant height of 7cm. Assume π has a value of 3.14

A. 50.3cm^2
B. 88.0cm^2
C. 138.2cm^2
D. 276.5cm^2

Answer:

x = 4

Step-by-step explanation:

Length = (4x + 3) feet

Width = (4x - 5 )feet  

Area = Length x Breadth

209 = (4x + 3)(4x - 5)

209 = 4x( 4x -5) + 3 (4x -5)

[tex]209 = 16x^2 -20x +12x -15\\\\0 = 16x^2 -8x -15 -209\\\\16x^2 -8x -224 = 0[/tex]

[tex]Quadratic \ Equation \ with a = 16, b = -8, c = -224 \\\\x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\Substitute \ a, b, c \ in \ the \ equation.\\\\x = \frac{-b + \sqrt{b^2 -4ac}}{2a}, x =\frac{-b \ - \sqrt{b^2 -4ac}}{2a}\\\\x = \frac{8+ \sqrt{64 +14336}}{32}, x = \frac{8- \sqrt{64 +14336}}{32}\\\\x = \frac{8+ \sqrt{14400}}{32}, x = \frac{8-\sqrt{14400}}{32}\\\\x = \frac{8+120 }{32}, x= \frac{8-120}{32}\\\\x = \frac{128}{32} , x = \frac{-112}{32}\\\\x = 4 , x = \frac{-7}{2}[/tex]

Since measure of length or width cannot be negative, we take x = 4

Answer:

the answer is A.

Answer:

area of triangle=base*height/2

=4*5/2

=20/2

=10m^2

Step-by-step explanation:

Answer:

M means measure so you're finding what PQR is

m∠PQR = about 60°

Answer:

792

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The word “difference” tells us that this is a subtraction problem

the words “three times a number” tells us that the variable will be multiplied by three

therefore it is C, 20-3j

Answer:

m<D = 34

Step-by-step explanation:

Exterior angles thm:

3x - 2 + 68 = 9x - 6

3x + 66 = 9x - 6

3x - 9x = -6 - 66

-6x = -72

x = 12

<D:

3x - 2

3(12) - 2

36 - 2

34

Answer:

$16

Step-by-step explanation:

Given data

Flat Charge= $5

Fee per hour= $10

The expression describing the total cost is

C= 5+10h

For C=$165, we can find h as

165=5+10h

165-5=10h

160=10h

h= 16

Hence the cost per hour would be $16

Why is this? Recall that (x-h)^2+(y-k)^2 = r^2  is the general template of a circle. The center being (h,k) and the radius is r.

For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.

The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.

Answer:

(x + 3) (x - 3)

Step-by-step explanation:

We know that;

a = 1

b = 0

c = -9

We also know that;

p*q = -9

p + q = 0

In this case, it would make the p value 3, and q value -3

The factorized form would be;

(x + p) (x + q)

=> (x + (3)) (x + (-3))

=> (x + 3) (x - 3)

So therefore, the factorized form;

(x + 3) (x - 3)

Hope this helps!

Answer:

the answer is (x + 3)(x - 3)

Answer:

One apple pie is $4 and one blackberry pie is $20

Step-by-step explanation:

Create a system of equations where a is the cost of one apple pie and b is the cost of one blackberry pie:

10a + 2b = 80

10a + 3b = 100

Solve by elimination by multiplying the top equation by -1, then adding the equations together:

-10a - 2b = -80

10a + 3b = 100

Add these together:

b = 20

So, one blackberry pie is $20. Plug in 20 as b into one of the equations, and solve for a:

10a + 2b = 80

10a + 2(20) = 80

10a + 40 = 80

10a = 40

a = 4

So, one apple pie is $4.

One apple pie is $4 and one blackberry pie is $20

Answer:

$14000

Step-by-step explanation:

Given that :

Commission 5% of sale price

Sale price of house = $280,000

Commission = 5% of $280,000

Hence,

Commission = 0.05 * $280,000

Commission = $14,000

Answer:

I'm saososowowo3iwiqiwuwuwuwbabahaqbqnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnen

Answer:

I'mnot really sure if it might be correct but I believe it's 12.2 :))

Answer:

52º

Step-by-step explanation:

Complementary angles are a set of angles that add up to 90º. Knowing this, we can find the value of x by setting the sum of these two angles equal to 90. For example:

3x + 25 + 5x - 7 = 90

8x + 18 = 90

8x = 72

x = 9

Now that we know our x value, we can find the measure of angle A. Simply plug in the value of x to the measurement of angle A, which is 3x + 25.

3(9) + 25 = 52º

Answer:

22,566

Step-by-step explanation:

the answer can be determined by subtracting 90486 from 113052

113052 - 90486 = 22,566

Answer:

Hello! answer: b = 5

Step-by-step explanation:

13 × 13 = 169 12 × 12 = 144 169 - 144 = 25 5 × 5 = 25 therefore b = 5 hope that helps!

Answer:

(5,25)

Step-by-step explanation:

Answer:

Part A: ≈112.06

Part B: B

Step-by-step explanation:

Find the surface area and volume for the separate shapes, then add them up together

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Have a good day :)

Answer:

31.9

Step-by-step explanation:

cos(15°)× 33 = 31.87~ 31.9

Answer:

[tex]\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi[/tex]

Step-by-step explanation:

Area of a circle with radius [tex]r[/tex]: [tex]r^2\pi[/tex]

Circumference of a sector with radius [tex]r[/tex]: [tex]2r\pi[/tex]

Area of sector with angle [tex]\theta[/tex]:  [tex]r^2\pi\cdot \frac{\theta}{360}[/tex].

Arc length of sector with angle [tex]\theta[/tex]: [tex]2r\pi\cdot \frac{\theta}{360}[/tex]

Using these equations, we get the following information:

Area of circle: [tex]27^2\pi=729\pi[/tex]

Circumference of a circle: [tex]2\cdot 27\cdot \pi=54\pi[/tex]

Area of sector: [tex]27^2\pi\cdot \frac{80}{360}=162\pi[/tex]

Arc length of sector: [tex]2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi[/tex]

Answer:

The length of side EF is 10 units.

If there is any specific measurement for each unit, multiply 10 by the measurement amount.

Answer:

10 units

Step-by-step explanation:

The side of EF is 10 units

The side of DE is 10 units

The side of DF is about 14.1 units

Answer:

The best thing to do here is to put each of these into fractions, with the total (31) as the denominator.

14/31= silver

6/31= black

8/31= copper

3/31= various colours.

As you're looking for the keys that are silver or copper, you've got to add the two denominators together, which gives you 14+8= 22.

This cannot be simplified further, therefore, the probability of choosing either a silver or copper key is 22/31.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Well if perminder = 52ft that means x=5b8

Step-by-step explanation:

Answer:

11. 26

12. 111

Step-by-step explanation:

_______________

Answer:

11.since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

Answer:

[tex]1 < |x -2|< 5\\1< |x-2| = |x-2| > 1\\-1 >x-2 \ , \ x-2<1\\1>x \ , \ x >3\\\\|x-2|<5 = -5 < x-2<5 = -3 <X<7\\\\Therefore , by \ merging \ overlapping \ intervals \\\\-3<x<1\quad \mathrm{or}\quad \:3<x<7[/tex]

Answer:

0.25 and 25% are equivalent

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

LCD = 56

Equivalent Fractions with the LCD

1/7 = 8/56

1/8 = 7/56

The Rule for reflection over the y-axis is given by (x,y) to (-x,y).

so, J' (-10,-8)

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hope it helps...

have a great day!

Answer:

J' Coordinates = (-5, -8)

Step-by-step explanation:

We know that in the coordinate point J (5, -8);

x-value = 5

y-value = -8

In order to reflect J over the y-axis, we will keep the y-value of the coordinate same and then reverse the x-value to it's opposite, Therefore the J' coordinates would be;

x-value = -5

y-value = -8

J' Coordinates = (-5, -8)

Hope this helps!

Answer:

Step-by-step explanation:

The common denominator is ab

Correct choice is D

Answer:D

Step-by-step explanation: