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Answer:

The perimeter of a rectangle is 36 cm, its breadth is 8 cm

Step-by-step explanation:

For a given rectangle

Perimeter (P) = 36 cm

length (L) = 10 cm

Now,

Perimeter (P) = 2 × (length + breadth)

P = 2 × (l + b)

36 = 2 × (10 + b)

36 = 20 + 2b

2b = 36 - 20

2b = 16

b = 16 ÷ 2

b = 8 cm

Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm

-TheUnknownScientist

The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.

[tex] \bullet [/tex] Perimeter (P) of a rectangle is 36 cm.

[tex] \bullet [/tex] Length (L) of a rectangle is 10 cm.

Breadth (B) of a rectangle.

We know,

P = 2(L + B)

So,

36 = 2(10 + B)

36 = 20 + 2B

36 - 20 = 2B

16 = 2B

B = 16/2 = 8 cm.

Question:

If a sample of 2 hammer is selected

(a) find the probability that all in the sample are defective.

(b) find the probability that none in the sample are defective.

Answer:

a [tex]Pr = \frac{2}{110}[/tex]

b [tex]Pr = \frac{72}{110}[/tex]

Step-by-step explanation:

Given

[tex]n = 11[/tex] --- hammers

[tex]r = 2[/tex] --- selection

This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities

Solving (a): Probability that both selection are defective.

For two selections, the probability that all are defective is:

[tex]Pr = P(D) * P(D)[/tex]

[tex]Pr = \frac{2}{11} * \frac{2-1}{11-1}[/tex]

[tex]Pr = \frac{2}{11} * \frac{1}{10}[/tex]

[tex]Pr = \frac{2}{110}[/tex]

Solving (b): Probability that none are defective.

The probability that a selection is not defective is:

[tex]P(D') = \frac{9}{11}[/tex]

For two selections, the probability that all are not defective is:

[tex]Pr = P(D') * P(D')[/tex]

[tex]Pr = \frac{9}{11} * \frac{9-1}{11-1}[/tex]

[tex]Pr = \frac{9}{11} * \frac{8}{10}[/tex]

[tex]Pr = \frac{72}{110}[/tex]

Answer:

A

Step-by-step explanation:

Area=L+L+B+B

L=2

B=1

So, L+L+B+B=6

204/6=34

So, it's 34 ft, which is A.

Answer:

90°

-Sum of angles in a triangle= 180°

-angle C is 90°

-therefore angle A + angle B is,

180° - 90° = 90°

Answer:

the steady-state percentage of residents who are uninvolved is 0.5

Step-by-step explanation:

 Given the data in the question;

let N represent total number of people in the dormitory

I represent  people involved in a relationship

and U represent people uninvolved in a relationship.

so

N = I + U

I = N - U ------ let this be equation 1

Rate of Uninvolved = U/N

now, given that rate of break ups B = 15% every month = 0.15

rate of entering into relationship  R = 15% every month = 0.15

Now, the steady state condition is;

RU = BI ------- let this be equation 2

such that uninvolved rate is constant.

we input equation 1 into 2;

RU = B( N - U  )

we divide both sides by N

RU/N = B( N/N - U/N  )

RU/N = B( 1 - U/N  )

U/N = B / (B + R)

so we substitute

U/N = 0.15 / (0.15 + 0.15)

U/N = 0.15 / 0.3

U/N = 0.5

Therefore, the steady-state percentage of residents who are uninvolved is 0.5

Answer:

0.00621

Step-by-step explanation:

We solve the above question using the

Z score formula. This is given as:

z = (x-μ)/σ/√n

where

x is the raw score = 12.20 or earlier

This means x ≤ 12.20

μ is the population mean = 13.20

σ is the population standard deviation = 2

n is the random number of samples = 25

z = 12.2 - 13.2/2/√25

z = -1/2/5

z = -1/0.4

z = -2.5

Probability value from Z-Table:

P(x≤ 12.2) = 0.0062097

Approximately = 0.00621

Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621

Answer:

false

Step-by-step explanation:

Answer:

32 yd²

Step-by-step explanation:

because 8 • 4 is 32 so it's 32 yd²

Answer:

A = 32 yds^2

Step-by-step explanation:

We know the formula for the area of a rectangle is

A = lw  where l is the length and w is the width

A = 4 yds * 8 yds

A = 32 yds^2

Answer:

Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and ... - did not match any documents.

Suggestions:

Make sure that all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Answer:

C

Step-by-step explanation:

The net, if you imagine it folded up, will look like a long box.

Because all the dimensions are not equal, the figure cannot be a cube. Both square and rectangular pyramids have 5 faces, unlike this net.

A net of a rectangular prism, however, will have different dimensions for [tex]l[/tex] and [tex]w[/tex], and have 6 faces. So, the answer is C, rectangular prism.

Good luck ^^

The three-dimensional figure represented by the net shown below is a rectangular prism.

Option C is the correct answer.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

From the figure,

We see that it is an open rectangular prism.

All the open sides are rectangular in shape.

If we fold all the sides it will form a rectangular prism.

Thus,

The three-dimensional figure represented by the net shown below is a rectangular prism.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ2

Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.

[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]

Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

Learn more here: https://brainly.com/question/20880990

Answer:

-5 9/40

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Makes the most since

Answer:

a.

Step-by-step explanation:

diameter 7cm

radius 3.5cm

area =πr²

=22/7* 3.5²

=38.47cm²

circumference=πd

=22/7* 7

=22cm

Answer:

a. C = 21.98cm and A = 38.47cm squared

Step-by-step explanation:

Diameter is twice the radius. Therefore radius, r, is 3.5cm.

Circumference = 2πr =2π(3.5)=7π=21.98cm

Area=πr²=π(3.5²)=12.25π=38.47cm²

Answer:

I Think 178

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.  

Answer:

[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

[tex]x = \frac{4}{5}[/tex]

Required

Find y

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

Substitute [tex]x = \frac{4}{5}[/tex]

[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]

[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]

Collect like terms

[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]

[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]

Split the surd

[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]

Rationalize

[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]

Take LCM and add

[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]

[tex]y = \frac{2\sqrt5+6}{5}}[/tex]

or solve as:

[tex]y = \frac{2*2.24+6}{5}}[/tex]

[tex]y = \frac{10.48}{5}[/tex]

[tex]y = 2.096[/tex]

1)+4

2)-4

3) 2

4) i don't know

5)

Answer: (-2)²=4

-2²=-4

square root of 4 is 2

1 over the square root of 8 is -2

1 aquare root of -8 is 2,-2

Step-by-step explanation:plug them into calculator

Answer:

.5

Step-by-step explanation:

Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)

sin(17+13) = 1/2

Answer: the fountain is located at point (-1,-0.5)

Step-by-step explanation:

Answer: (-1 , -0.5)

Step-by-step explanation:

Answer:

b, c and e

Step-by-step explanation:

Given

See attachment for functions

Required

Select all statements that contain both functions

First, calculate the rate (slope) of both functions.

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Alec's

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (2,9)[/tex]

So, the slope is:

[tex]m = \frac{9 - 3}{2 - 0}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

For Beth's

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (12,38)[/tex]

So, the slope is:

[tex]m = \frac{38 - 17}{12 - 5}[/tex]

[tex]m = \frac{21}{7}[/tex]

[tex]m =3[/tex]

Beth and Rec have the same slope. Hence, they save at the same rate.

Next, determine the amount they started with.

This implies that we calculate y when x = 0

From Alec's graph.

[tex](x,y) = (0,3)[/tex]

Alec's initial savings is 3

For Beth's savings, we make use of slope formula.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (0,y)[/tex]

So, we have:

[tex]3 =\frac{y - 17}{0 - 5}[/tex]

[tex]3 =\frac{y - 17}{ - 5}[/tex]

[tex]y - 17 = -15[/tex]

[tex]y = 17 -15[/tex]

[tex]y = 2[/tex]

Beth's initial savings is 2

Hence, Alec started with more money

Next, is to determine who has more money after 10 days.

Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.

The difference (d) is calculated as:

[tex]d = 3 - 2[/tex]

[tex]d = 1[/tex]

Hence, Alec will have $1 more than Beth after 10 days

Answer:

its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.

Step-by-step explanation:

Answer:

Step-by-step explanation:

It would be easier with C., the other options are already easy to calculate

Answer:

196 ft

Step-by-step explanation:

Bc im guessing

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Answer:

  C. ... 3 1/4 cups

Step-by-step explanation:

The problem statement tells you that the other measures are combined. That means you're looking for an expression like ...

  3/8 × ((3 2/3) +(2 1/4) +(2 3/4))

This eliminates choices B and D.

If you look at the numbers in parentheses, you see that the 1/4 and 3/4 will have a sum of 1, so the only fraction in the sum will be 2/3. This eliminates choice A.

The only viable answer choice is C.

__

If you like, you can check to see that answer C is correct.

  (3/8)(8 2/3) = (3/8)(26/3) = 26/8 = 3 2/8 = 3 1/4

Answer:

105 mph = rate of first plane

130 mph = rate of second plane

Step-by-step explanation:

Let r = rate of first plane

then r + 25 = rate of second plane

2r = distance of first plane

2(r + 25) = distance of second plane

2r + 2(r + 25) = 470

2r + 2r + 50 = 470

4r = 420

r = 105 mph

r + 25 = 130 mph