The length of a rectangle is 4 cm longer than its width.
If the perimeter of the rectangle is 52 cm, find its length and width.

Answer: 14.3178210633

Step-by-step explanation: d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

The answer is exactly -2,299. But since this is a mental math question it's okay if it's not the exact answer. The answer would be "A"

The equation it has solutions of –5 and 7  is x^2-2x-37=0

We have equation

solutions of equation are –5 and 7.

We have to find complete the equation.

We have given that solutions of the equation are -5, 7.

The standard form of a quadratic equation.

[tex](x -\alpha) (x- \beta)[/tex]

Where we have

[tex]p = -(\alpha+\beta) and q = (\alpha\times \beta)[/tex]

So, roots are

[tex]( x- (-5)) (x-7)[/tex]

[tex]p = -( -5+7)[/tex] , [tex]q =(-5)(7).[/tex]

[tex]p = -2 and q = -35.[/tex]

On substituting p and q in equation

[tex]x^2+(-2)x-37=0[/tex]

[tex]x^2-2x-37=0[/tex]

Therefore,x^2-2x-37=0  is the equation of solution -5,7.

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Answer:

-2, -35

Step-by-step explanation:

Answer:

0.9527

Step-by-step explanation:

Once again, if Brainly would stop deleting my answer for no reason, your answer is 0.9527. OKAY! ...okay

The binomial probability for getting at least 4 successes is 0.955

The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.

[tex]P_{x} = nC_{x} p^{x} q^{n-x}[/tex]

Where,  

P is the binomial probability

x is the number of times for a specific outcomes within n trials

[tex]nC_{x}[/tex] is the number of combinations

p is the probability of success in a single trial

q is the probability of failure on a single trial

n is the number of trials

Let p denote the probability of getting success in a single trial and q denotes the probability of failure in a single trial.

And let x be a random variable denoting the number of success.

According to the given question.

We have

[tex]p = 0.85[/tex]

⇒[tex]q = 1- 0.85 = 0.15[/tex]

Also,

n = 6

Therefore,

The  binomial probability of getting at least 4 success

[tex]=P(x\geq 4)[/tex]

[tex]=P(x=4)+P(x=5)+P(x=6)[/tex]

[tex]= 6C_{4} (0.85)^{4} (0.15)^{2} + 6C_{5} (0.85)^{5} (0.15)^{1}+ 6C_{6} (0.85)^{6} (0.15)^{0}[/tex]

[tex]=\frac{6!}{4!21} (0.522)(0.0225)+\frac{6!}{5!1!} (0.443)(0.15)+\frac{6!}{6!0!} (0.4)[/tex]

[tex]=15(0.011)+6(0.066)+1(0.4)[/tex]

[tex]=0.165+0.396+0.4\\=0.955[/tex]

Hence, the binomial probability for getting at least 4 successes is 0.955

Thus, option A is correct.

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Answer:

Graph= (-1,-8)

y= -8

x=-1

Step-by-step explanation:

Step-by-step explanation:

Set the parameters,

Let the width be 'X' inhes

Therefore,

Length = "5X" inches

According to the given condition,

Perimeter = sum of the sides = 2(l+b) = 40 inches,

Equation = 2(5X+X) = 40

2(6X) = 40

12X= 40

X= 3.33

Therefore,

Width = X = 3.33 inches

The area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is (2π + 40) mm².

The area of a semicircle is the space contained by the circle. The area is the number of square units enclosed by the sides of the shape.

The area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is given by adding an  area of MKCD , area of ABCD, area of a semi-circle with AB as diameter.

Area of the composite figure = area of MKCD + area of ABCD + area of a semi-circle with AB as diameter.

The area of the composite figure is;

Area A = (DC + MK)/2 × DN + AB² + (1/2)×π×2²

Area A = (4 + 8)/2 × 4 + 4² + (1/2)×π×4

Area A = 24 + 16 + 2π = (2π + 40) mm²

Hence, the area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is (2π + 40) mm².

To know more about the area of the semicircle click the link given below.

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Answer:

160 bottles of water

Step-by-step explanation:

Because c stands for how many cases of water she orders, you replace c in the equation b = 20c with 8. It would then be b = 20(8) which would be b = 160. Because b stands for the total number of bottles, that means the total number of bottles is 160.

Step-by-step explanation:

take the rectangle as whole with dimensions 16*8

area = 128 in^2

area of rectangle of dimensions 10*2 =20

required area = 108 in^2

Answer:

D. Rational

Step-by-step explanation:

A rational number is any number that can be written as a decimal or a fraction.

Hope it helped!

[tex]4 \frac{2}{3} - 4 \frac{1}{3} = \\ [/tex]

[tex] \frac{1}{3} \\ [/tex]

Thus the true answer is option A .

Answer:

15.5 is the median.

The mean of the data is 22

Step-by-step explanation:

First, the median of a data set is found by sorting the numbers in order, from least to greatest. Then you count inwards one at a time on both sides until you reach a center number.

4 , 12, 15, 16, 40, 45

     12, 15, 16, 40

          15, 16

               15.5

This means, 15.5 is the median

Next, to find the mean, you add up all the numbers and divide it by however many numbers there are. In this case there are 6 numbers, so we divide the total by 6.

40 + 4 + 12 + 15 + 45 + 16 = 132

132 / 6 = 22

The mean of the data is 22

Answer:

Mean: 22

Median: 15.5

Step-by-step explanation:

hope this helps :)

Answer:

A

Step-by-step explanation:

because it A because I can done that fast

Answer:

[tex]\red{ \bold{m \angle \: 1 = 54 \degree}} \\\: \purple{ \bold{m \angle \: 2 = 54 \degree}} [/tex]

Step-by-step explanation:

[tex](a) \: \: \: \\ r || s \: \: \: (given) \\ \implies \: m \angle \: 1 = m \: \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: (63 - x) \degree = (72 - 2x) \degree \\ \implies \: 63 - x = 72 - 2x \\ \implies \: 2x - x = 72 - 63 \\ \implies \: \huge \orange{ x = 9} \\ \\ (b) \\ m \angle \: 1 = (63 - x) \degree \\ \implies \: m \angle \: 1 = (63 - 9) \degree \\ \implies \: \red{ \bold{m \angle \: 1 = 54 \degree}} \\ \implies \: \purple{ \bold{m \angle \: 2 = 54 \degree}} \\ ( \because \: m \angle \: 1 = m \: \angle \: 2)[/tex]

Answer:

No, Paul is not correct.

Step-by-step explanation:

The competition starts at 11:30am.  9:30am is 2 hours before.

1/4 of an hour is 15 minutes, 1/2 an hour is 30 minutes, 3/4 of an hour is 45 minutes

So, Paul needs to get there 45 minutes before the 11:30am start time.

Paul needs to get there at 10:45am

Answer:

60r ft

Step-by-step explanation:

If it is wrong correct me if it is correct pls mark me as brainliest pls

3a. Area  = 2 (5×7 + 5×3 + 7×3)

3b. Area = 2 (6×6 + 6×5 + 6×5)

3c. Area = 2 (6.5×10 + 6.5×3 + 3×10)

4a. Area = 2(1/2 × 4 × 6) + 2(7×5) + 7×6

4b. Area = 2(1/2 × 6 × 6) + 2(10×8.5) + 10×6

4c. Area = 2(1/2 × 10.2 × 3.6) + 15×8.3 + 15×4.5 + 10.2×15

There are 31 type A mice and 19 type B mice in the computer shop costing about $433.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent the type A and b represent the type B, hence:

a + b = 50    (1)

Also:

6a + 13b = 433     (2)

a = 31, b = 19

There are 31 type A mice and 19 type B mice in the computer shop costing about $433.

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Answer:

True, because if price changes, dod oes average of money. So if you get 5 bucks per 10 scarfs, you'll get 5.50$ for 11 scarfs

Step-by-step explanation:

Lets just say she gets half of what the actual cost is. In total.

Answer:

This is true

Step-by-step explanation:

Answer:

244 miles (nearest whole number)

Step-by-step explanation:

We can model this as a geometric series.

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common difference)

Given information:

Therefore:

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, sum of the first 19 terms:

[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\implies S_{19}=244.3120313...[/tex]

So Levi ran a total of 244 miles (to the nearest whole number)

Answer:

please see photo above for details

Answer:

The answer is d) 480cm³

Step-by-step explanation:

3 x 10 x 16 = 480cm³

Answer:

I pretty sure it's 45 degrees from the information that you gave me.

Step-by-step explanation: The total is a circle and you have 8 little triangles. You divide 360 (what a circle is) by 8 (number of triangles). The quotient will be 45 degrees. That's the answer 45 degrees.

Hey there!

6/2

= 6 ÷ 2 / 2 ÷ 1

= 3 / 1

= 3 ÷ 1

= 3

Therefore, your answer should be:

3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

option c

Step-by-step explanation:

pi/2 is the answer

An equation is formed of two equal expressions. The equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it is given that the solution of m is -5 and 9. Therefore, the equation which will represent the solution of m as -5 and 9 is

(m+5)(m-9)=0

Hence, the equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.

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Answer:

The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:

2 + 2x + 7 + x + 2 = 20

Solve for x by combining like terms;

(2 + 7 + 2) + (2x + x) = 20

Which simplifies to;

11 + 3x = 20

Get rid of constants;

-11          -11

3x = 9

Isolate x by getting rid of it's coefficient;

/3  /3

x = 3

Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.

x + 2

3 + 2

= 5 inches.

Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.

2x

2(3)

= 6 inches.