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murzikaleks [220]
3 years ago
12

The windscreen wiper of a car sweeps

Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0

Answer:

A ≈ 530 cm²

Step-by-step explanation:

The swept area equals the total area covered by the blade minus the unswept area.

The area of a sector with radius r and angle θ is:

A = (θ / 360) πr²

So the swept area is:

A = (θ / 360) πR² − (θ / 360) πr²

A = (θ / 360) π (R² − r²)

A = (150 / 360) π (21² − 6²)

A ≈ 530 cm²

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A piece of paper is 0.00075 inches thick. How many sheets of paper will be in a stack that is 2.25 inches high
mario62 [17]
2.25/0/00075 = 3000
There will be 3000 sheets of paper
the total height of the stack is 2.25
7 0
3 years ago
Suppose you and a friend each choose at random an integer between 1 and 8, inclusive. For example, some possibilities are (3,7),
Bezzdna [24]

Answer and explanation:

Given : Suppose you and a friend each choose at random an integer between 1 and 8, inclusive.

The sample space is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (1,7) (1,8)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)   (2,7) (2,8)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)   (3,7) (3,8)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)   (4,7) (4,8)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)   (5,7) (5,8)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)   (6,7) (6,8)

(7,1) (7,2) (7,3) (7,4) (7,5) (7,6)   (7,7) (7,8)

(8,1) (8,2) (8,3) (8,4) (8,5) (8,6)   (8,7) (8,8)

Total number of outcome = 64

To find : The following probabilities ?

Solution :

The probability is given by,

\text{Probability}=\frac{\text{Favorable outcome }}{\text{Total outcome}}

a) p(you pick 5 and your friend picks 8)

The favorable outcome is (5,8)= 1

\text{Probability}=\frac{1}{64}

b) p(sum of the two numbers picked is < 4)

The favorable outcome is (1,1), (1,2), (2,1)= 3

\text{Probability}=\frac{3}{64}

c) p(both numbers match)

The favorable outcome is (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (8,8) = 8

\text{Probability}=\frac{8}{64}

\text{Probability}=\frac{1}{8}

7 0
3 years ago
Apply the distributive property to factor out the GCF.<br><br> 18d + 12= _________
stiv31 [10]

Answer:

6(3d+2)

Step-by-step explanation:

8 0
3 years ago
6. A factory has two types of machines.
Pie

210 pieces

Step-by-step explanation:

First, you need to figure out how many pieces a single machine can cut in a minute, so you need to divide 105 by 3, which gets you 35 pieces per minute.

Next, since we know there are 6 machines, and one machine canncut 35 pieces per minute, we can the figure out how many pieces all 6 cutting machines can cut in 1 minute. You would do this by making an equation such as this:

35 \times 6 = x

The x represents the total number of pieces cut by all 6 machines in one minute.

Next, since we now have an equation, we can go ahead and solve it. We would multiply 35 by 6, which would get us 210 pieces per minute that can be cut by all six machines

8 0
3 years ago
Read 2 more answers
Need some help with these problems!
LekaFEV [45]

Answer:

<em>h=12, w=24, t=8</em>

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being  

w = price of a sweatshirt

t = price of a T-shirt

h = price of a pair of shorts

19.

The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

\displaystyle w=2h

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

\displaystyle t=h-4

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

\displaystyle 3w+2h+5t=136

This is the system of equations we need to solve for w,t,h

20.

To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

\displaystyle 3(2h)+2h+5(h-4)=136

Operating

\displaystyle 6h+2h+5h-20=136

\displaystyle 13h=156

Solving for h

\displaystyle h=12

The other two variables are

\displaystyle w=2h=24

\displaystyle t=12-4=8

4 0
3 years ago
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