A soup can has a height of 4 inches and a radius of 2.5 inches. What's the area ofpaper needed to cover the lateral face of one soup can with a label?
OA) 62.8 in?
B) 15.7 in?
C) 78.5 in2
125.7 in2
A soup can has a height of 4 inches and - 1

Answers

Answer 1
Answer:

Answer:

  1. The lateral surface can be thought of as the crossectional area of the surface integral over dA such that
  2. lateral \: = 2\pi * r * h \n given \: that \: formula \: : \n </li><li>lateral = 2\pi * (2.5)(4) \n \n 2\pi * 10 \n 20 * \pi \n \n lateral=62.8

Answer 2
Answer:

Answer: 62.8

Step-by-step explanation: took the test, hope this helps (;


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at a local coffee shop, about 20% of the customers who buy coffee also buy a pastry. if they have 300 customers buying coffee about how many pastries should they expect to sell?

Answers

Answer:

60

Step-by-step explanation:

A C B, X Z YIs there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement.
If no, justify your answer.

Answers

Answer:

Yes.

∆CAB ≅ ∆XYZ by AAS Congruence Theorem.

Step-by-step explanation:

There's enough information provided in the diagram above for us to prove that ∆CAB is congruent to ∆XYZ.

From the diagram, we cam observe the following:

<A ≅ <Y

<B ≅ <Z

side CA ≅ XY

Using the Angle-Angle-Side (AAS) Congruence Theorem, since two angles, <A and <B, and a non-included side, CA, in ∆CAB are congruent to two the corresponding angles, <X and <Z, and a non-included side, XY, in ∆XYZ, then ∆CAB is congruent to ∆XYZ.

Solve for x x/10+5=−1

x=​

Answers

Answer:

x=-60

Step-by-step explanation:

You solve for x by simplifying both sides of the equation, then isolating the variable.

If f(x)=1-x^2+x^3, then f(-1)=

Answers

Answer:

Well, we know that there exists a function f(x) such that f(x-1) is a direct transformation of its parent function. First we want to set x=x-1. Conceptually, it might be easier just to annotate one of the x’s as a completely different variable, because we know that x doesn’t equal x-1. So let’s rewrite as x=y-1 and solve for y.

We now have y=x+1 where y(x) is actually our parent function and y(x)=f(x+1). So take our equation f(x-1) and substitute each x with (x+1). So f(x)=2(x+1) + 3

f(x)= 2x + 5. We can check this by finding f(x-1) because it should equal 2x+3.

f(x-1)= 2(x-1) + 5

f(x-1)= 2x + 3.

Hoped I helped

YALL PLEASE SOMEONE DOES ANYONE KNOW?

Answers

The map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.

What is triangle ?

A triangle is a closed two-dimensional figure with three straight sides and three angles. The sum of the angles in a triangle is always 180 degrees. The three sides can be of different lengths, and the three angles can also be of different measures. Triangles are important geometric shapes and are used in many fields, such as mathematics, engineering, and architecture.

To determine which transformation maps triangle ABC to a similar but not congruent triangle, we need to understand the characteristics of similarity and congruence in triangles.

Two triangles are congruent if they have the same shape and size, and their corresponding sides and angles are equal. Two triangles are similar if they have the same shape, but not necessarily the same size, and their corresponding angles are equal.

In the given answer choices, the transformation (x, y) -> (- y, - x) is a reflection over the line y = x, which means it reverses the position of x and y coordinates. This transformation does not preserve the angles of the triangle, and therefore does not result in a similar triangle.

The transformation (x, y) -> (-4x, -4y) is a dilation with a scale factor of 4, which means it increases the size of the triangle by a factor of 4. This transformation preserves the angles of the triangle, and therefore results in a similar triangle that is also congruent.

The transformation (x, y) -> (x + 2, - y - 2) is a translation that moves the triangle 2 units to the right and 2 units down. This transformation preserves the angles of the triangle, and therefore results in a similar triangle.

The transformation (x, y) -> (-y + 2, x + 2) is a rotation of 90 degrees counterclockwise around the point (2, -2). This transformation preserves the angles of the triangle, and therefore results in a similar triangle.

Therefore, the map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.

To know more about triangle visit:

brainly.com/question/1058720

#SPJ1

) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station

Answers

Complete Question

The probability that a single radar station will detect an enemy plane is 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)

Answer:

a

 n \approx  4  

b

Step-by-step explanation:

From the question we are told that

The probability that a single radar station will detect an enemy plane is p =0.65

 Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as

     P(X \ge 1 ) =  0.98

=>   P(X \ge  1 ) =  1 - P(X < 1) =  0.98

=>   P(X =  0) =  1 -  0.98     Note P(X <  1) = P(X = 0)

=>   P(X =  0) =  1 -  0.98

=>   P(X =  0) =  0.02

Generally from binomial probability distribution function

     P(X =  0) =  ^nC_0 *  p^(0) * (1- p)^(n- 0)

Here C represents combination hence we will be making use of of combination functionality in our  calculators

Generally any number combination 0  is  1

So  

     P(X =  1) =  1 *  1* (1- 0.65)^(n- 0) = 0.02

=>  (1- 0.65)^(n- 1) = 0.02

taking log of both sides

     log [(0.35)^(n- 1) ] = log (0.02)

=>  {n- 1}log[0.35] = -1.699

=>  {n- 1}*  -0.4559 = -1.699

=>  n= 3.7264 + 1

=>  n= 4.7264

=>  n \approx  4  

Gnerally the expected number of stations that will detect an enemy plane is  

    E(X) =  7 *  0.65

=> E(X)  \approx4.5