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melamori03 [73]
3 years ago
9

Part 2: describe the shape of your cross section of a slice of banana at 45° angle to a space draw picture of the sheep. Part 3:

describe the shape of a cross sections if you slice banana and half with a cut perpendicular to its base draw a picture of the shape (hint remember to think of a banana a cylinder)

Mathematics
1 answer:
xenn [34]3 years ago
8 0

Answer:

Part 2:

The shape of a banana cut in 45° angle is that of a curve that is closed with the appearance of a flattened circle or an oval similar to an ellipse therefore having two focal points

The drawing of the angle cross section of a cylinder representing the banana is attached

Part 3:

When the banana is cut in half, perpendicular to the base of the banana, the shape formed is circular withe the center of the banana being about the same location as the center of the circle

The drawing of the perpendicular cross section of a cylinder representing the banana is

Step-by-step explanation:

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A fruit seller has 3 crates of apples. Each crate has 100 apples. If he packed 6 apples in 1 box. Which of these gives the numbe
xz_007 [3.2K]

Answer:

300 divided by 6

Step-by-step explanation:

Given that;

Number of crates of apple owned by fruit seller  = 3 crates

Number of apples in each crate  = 100 apples

He packed 6 apples in 1 box;

Unknown:

Number of boxes needed to pack all the apples = ?

This problem is pretty straight forward;

  Number boxes needed to pack all apples  = \frac{Number of crates owned by fruit seller x number of apples per crate}{Number of apples per box}

Input the parameters and solve;

       Number of boxes need to pack all apples  = \frac{100 x 3}{6}   = \frac{300}{6}

So the solution is 300 divided by 6

5 0
3 years ago
Bailey bought a lawnmower for $600. The value of the lawnmower depreciates 2% every year. What is the value of the lawnmower aft
givi [52]

Answer:

$542

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

y=a(1-r)^x

where

y is the value of the lawnmower

x is the time in years

a is the initial value

r is the rate of change

we have

a=\$600\\r=2\%=2/100=0.02

substitute

y=600(1-0.02)^x

y=600(0.98)^x

For x=5 years

y=600(0.98)^5=\$542

8 0
3 years ago
A teacher teaches two classes with 8 students each. Each student has a 95% chance of passing their class independent of the othe
dsp73

Answer:

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability that all students pass in a class:

Class of 8 students, which means that n = 8

Each student has a 95% chance of passing their class independent of the other students, which means that p = 0.95

This probability is P(X = 8). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{8,8}.(0.95)^{8}.(0.05)^{0} = 0.6634

Find the probability that, in exactly one of the two classes, all 8 students pass.

Two classes means that n = 2

0.6634 probability all students pass in a class, which means that p = 0.6634.

This probability is P(X = 1). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,1}.(0.6634)^{1}.(0.3366)^{1} = 0.4466

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

3 0
3 years ago
Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, a parallelogram, or none. List all that apply. Explain
svlad2 [7]

Answer:

  • ABCD is a rhombus, and a parallelogram

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

<h3>Given </h3>

  • Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)

First, plot the points (see attached picture).

Then, connect all the points.

<h3>We see that:</h3>

  • Opposite sides are parallel,
  • Diagonals are perpendicular.

From our observation the figure is rhombus.

Let's confirm it with the following.

1) Find midpoints of diagonals and compare.

  • AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
  • BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2

The midpoint of both diagonals is same (- 2, 2).

2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.

  • m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
  • m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3

  • m(AC) × m(BD) = 3/4 * (- 4/3) = - 1

<u>Confirmed.</u>

So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.

5 0
1 year ago
What is the solution to the equation 1/4 × +2= 5/8x-5?
egoroff_w [7]

Step 1. Divide by the numbers 0.25 (1 divided by 4):

0.25 x +2=5 divided by 8x-5

Step 2. Divide the by the numbers 0.625 (5 divided by 8):

0.25 x +2=0.625x-5

Answer: 0.25 + 2= 2.25

Please correct me if I'm wrong, hope I could help! :)

5 0
3 years ago
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