Find the surface area of the "unrolled" cylinder where a = 4 cm and b= 10 cm.
Leave your answer in terms of Pi

Answer:

16

Step-by-step explanation:

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Answer:

V≈2144.66058

Step-by-step explanation:

V=(4/3)(π)r^3

V=(4/3)(π)(8)^3

V≈2144.66058

Answer:

∅ ≈ 34º

Step-by-step explanation:

sin = opp/hyp

∅ = arcsin opp/hyp

∅ = arcsin 14/25

Use calculator

∅ = 34.055797742567906

∅ ≈ 34º

Answer:

is 55

Step-by-step explanation:

×[tex]\frac{x}{1}*\frac{14}{25}[/tex]⇒0.56

cos0.56

55

Given:

Darcy harvests [tex]8\dfrac{3}{4}[/tex] acres of corn every [tex]\dfrac{5}{6}[/tex] of an hour.

Darcy harvests corn at a constant rate.

To find:

How many acres does she harvest per hour?

Solution:

We have,

Acres harvest in [tex]\dfrac{5}{6}[/tex] of an hours = [tex]8\dfrac{3}{4}[/tex]

Acres harvest in 1 hour = [tex]8\dfrac{3}{4}\times \dfrac{6}{5}[/tex]

                                      = [tex]\dfrac{32+3}{4}\times \dfrac{6}{5}[/tex]

                                      = [tex]\dfrac{35}{4}\times \dfrac{6}{5}[/tex]

Cancel out the common factors, we get

Acres harvest in 1 hour = [tex]\dfrac{7}{2}\times \dfrac{3}{1}[/tex]

                                      = [tex]\dfrac{21}{2}[/tex]

                                      = [tex]10\dfrac{1}{2}[/tex]

Therefore, she can harvest [tex]10\dfrac{1}{2}[/tex] acres of corn per hour.

Answer:

Option d) 2.1 + 2x = 7.5

Step-by-step explanation:

An isosceles triangle is a triangle with two equal sides.

Perimeter of a triangle is some of all the 3 sides.

Let the equal sides be x

Let the third side be y

Therefore,

              Perimeter = x + x + y

                         7.5 = 2x + y    

                          7.5 = 2x + 2.1                    [ given shortest side, y = 2.1m ]

Answer:

x = 121°

Step-by-step explanation:

∠ 1 + 115° = 180°

∠ 1 = 180 - 115

∠ 1 = 65°

∠ 2 + 304° = 360°

∠2 = 360 - 304

∠ 2 = 56°

∠ 1 + ∠ 2 + ∠ 3 = 180°

65° + 56 ° + ∠ 3 = 180°

∠3 = 180 - 65 - 56

∠ 3 = 59°

∠3 + x = 180°

59° + x = 180°

x = 180 - 59

x =  121 °

Answer:

$128

Step-by-step explanation:

2/5 × $40= $16

$16×8= $128

Answer:

Step-by-step explanation:

Answer:

-2 + 6 = 4

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

12-7=5

7-12=-5

If this helps please mark as brainliest

Arithmetic

7-12

Meaning, 12 less than 7.

7-12=-5

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

Explanation:

Let's say that a = 25, b = 37 and c = 32 are the side lengths.

The uppercase letters A,B,C are opposite their lowercase counterparts.

That means angle A is opposite side a = 25

Apply the law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

25^2 = 37^2 + 32^2 - 2*37*32*cos(A)

625 = 1369 + 1024 - 2368*cos(A)

625 = 2393 - 2368*cos(A)

625 - 2393  = -2368*cos(A)

-1768  = -2368*cos(A)

-2368*cos(A) = -1768

cos(A)= (-1768)/(-2368)

cos(A) = 0.746621621621622

A = arccos(0.746621621621622)

A = 41.7014263373247

A = 41.7

Answer:

4th answer

Step-by-step explanation:

g(h(x)) means to put the formula for h(x) into the formula for g(  ).

[tex]g(h(x))=g(2x-2)=-3(2x-2)^3-2(2x-2)^2\\=-3(8x^3-24x^2+24x-8)-2(4x^2-8x+4)\\=-24x^3+72x^2-72x+24-8x^2+16x-8\\=-24x^3+64x^2-56x+16[/tex]

Cubing the binomial 2x - 2 can take some time!

Answer:

D.

Step-by-step explanation:

Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]

Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]

Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]

      p,q are x-intercepts

x-intercepts given in graph: -2,4

[tex]y=a[x-(-2)](x-4)[/tex]

eqn 1: [tex]y=a(x+2)(x-4)[/tex]

Plug in the given point to find 'a' : (3,-5)

[tex]-5=a(3+2)(3-4)[/tex]

[tex]-5=a(5)(-1)[/tex]

[tex]1=a[/tex]

Substitute 'a' in to eqn 1.

[tex]y=1(x+2)(x-4)[/tex]

eqn 2: [tex]y=(x+2)(x-4)[/tex]

Expand eqn 2. (can use FOIL)

[tex]y=x^2-2x-8[/tex]

Answer:

(3,13)

Step-by-step explanation:

Since Point A(3,1) and point B(3,19) is 18 units away we find 2/3's of 18 then add that to point A. 2/3's of 18 is 12 so the point we are looking for is (3,13)

(3,13) is the point that is 2/3 of the distance from point A(3, 1) to point B(3, 19).

Distance exists as a numerical measurement of how far apart objects or points exist. In physics or everyday usage, the distance may be direct to a physical length or an estimation established on other criteria. The distance from point A to point B exists sometimes represented as |AB|.

As the point A(3,1) and point B(3,19) is 18 units away,

2/3 X 18 then add that to point A

2/3 X 18 = 12 so the point we are looking for is (3,13)

To learn more about distance refer to:

https://brainly.com/question/17273444

#SPJ2

3 is the correct one!

Complete Question

David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?

Answer:

[tex]N_{11} \approx 749[/tex]

Step-by-step explanation:

From the question we are told that:

Number of Fast Food Restaurants [tex]P=200[/tex]

Number of years [tex]t=11yrs[/tex]

Rate [tex]r=12%[/tex]

Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by

 [tex]N(t)=Pe^{rt}[/tex]

Therefore

For t=11

 [tex]N_{11}=200*e^{0.12*11}[/tex]

 [tex]N_{11}=748.7[/tex]

 [tex]N_{11} \approx 749[/tex]

Answer:

57.5°

Step-by-step explanation:

For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B​

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = Angle B

Opposite = Side AC 13.5

Adjacent = Side BC = 8.6

Hence:

tan θ = 13.5/8.6

θ = arc tan (13.5/8.6)

θ = 57.501354056°

Approximately = 57.5°

Therefore, Angle B = 57.5°

Answer:

B cause it same

Step-by-step explanation:

If am wrong correct me thanks

Answer: 5.8 +0.6x

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

Draw a line from the bottom of the 4 foot line straight across (horizontally) until it hits the vertical line on your left.

The two lines (the one you drew and the left vertical line) meet at right angles.

The upper figure is a rectangle.

Area = L * W

L = 5

W = 4

Area = 5 * 4

Area = 20

Now the bottom rectangle can be found the same way.

Area = L * W

L = 14

W = 3

Area = 14 * 3

Area = 42

The total area = 42 + 20

Total area = 62.

The comment was correct.

Refer to the attachment for complete calculation.

3²× 11^-9

Answer:

Aseem’s : 8.3, Stana’s : 11.6

Step-by-step explanation:

Aseem: x

Stana: 2x-5

X+2x-5=20

3x=25

X = 8.3

Answer:

x = 145

Step-by-step explanation:

The angles are same side exterior angle and same side exterior angles are supplementary

x +35 =180

Subtract 35 from each side

x = 180-35

x =145

Answer:

x=145

Step-by-step explanation:

180 -35 = 145

angle in a straight line add up to 180

x=145

F angle /corresponding angle are the same

Answer:

y = (√x)/13 for x > 0

Step-by-step explanation:

Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation.  The graph consists of the right-hand half of the parabola 169x^2.  Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test.  If x is restricted to (0, infinity), a horizontal line intersects this graph only once.  Therefore, this function has an inverse.

1.  Replace 'f(x)' with 'y:'  y = 169x^2

2.  Interchange x and y:  x = 169y^2

3.  Solve for y:  y^2 = x/169, or y = (√x)/13 for x > 0

Answer:

Robert can feed 13 cats.

Step-by-step explanation:

To solve this we simply divide.

3.38 divided by 0.26 = 13

Therefore Robert can feed 13 cats.

Answer and Step-by-step explanation:

The last answer choice is correct.

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x

The process being used in the last answer choice is called Cross multiplication, and is used to find the unknown value in fractions.

[tex]\frac{7}{8}[/tex] × [tex]\frac{x}{24}[/tex]

7 × 24 = 8x

168 = 8x

21 = x

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

Simple interest=principal× time× rate/100

=7430×3×5/100

=1114.5

Answer:

114.5

Step-by-step explanation:

Answer:

1 / (x+5)

Step-by-step explanation:

Factor the denominator

(x+1)/ (x+5)(x+1)

Cancel both (x+1)

=1/(x+5)