The width of a rectangle is 10 less than the length. If the perimeter is 80 yards, find the length and width.​

Answer:

2/5

Step-by-step explanation:

since the denominators are the same, the question is basically -4+6, which is 2.  But remember to include the denominator

Answer: Did, Are Changed , Did not change

Step-by-step explanation:

Answer:

6.2 is the answer you are looking for

Answer:

I'm 89.73% sure that the answer is 90 degrees

Step-by-step explanation:

because you are on a right angle

Answer:

Answer is explained in the explanation section

Step-by-step explanation:

Solution:

Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if  [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.

Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]

Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]

First of all let's check the first triangle is right triangle or not.

a = 12

b= 16

c= 20

So,

[tex]a^{2} + b^{2} = c^{2}[/tex].

144 + 256 = 400

400 = 400

Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle

hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.

Now, we have find out the side opposite to the 90 degrees angle, which is c.

we also know that, right triangles sides follow the pattern of 3x,4x and 5x

Since, c is the longest side.

Hence, c= 5x

Answer: The proportion of all AAII subscribers who are bullish on the stock market is 0.4094

Step-by-step explanation:

 Given the data in the question;

The total number of American Association of Individual Investors in stock market are;

409 + 299 + 291 = 999

The proportion of all AAII subscribers who are bullish on the stock market will be:

Market = 409 / 999

= 0.4094

Therefore, The proportion of all AAII subscribers who are bullish on the stock market is 0.4094

Answer:

A is Y equally X

B is X equally 2

E is Y equally -5

Answer:

The Base is 150 and the Exponent is 4

Answer:

60 more cubes are needed

Answer:

Toilet rolls come in packs of 4 and 9.

The 4-pack is priced at £2.04.

The 9-pack is priced at £4.68.

By calculating the price per roll, determine which pack is better value. Show your working.

Answer:

the circumference equation is 2pi r and the circumference for this problem is 3pi so that would mean that the radius is 1.5

with that info, we can find out the area of the circle which is pi r squared.

1.5*1.5=2.25

AREA=2.25pi

Answer:400

Step-by-step explanation:

The mean of T is the expected weight of a selected cup filled with liquid

The mean of T is 400

The data on the table is given as:

               Mean    Standard Deviation

Liquid      250g              20g

Cup         150g                10g

Represent Liquid with L, and cup with C

To calculate the mean of T, we make use of the following formula for expected value

E(L + C)

Since L and C are independent random variables, then

[tex]E(L + C) = E(L) + E(C)[/tex]

Where E(L) and E(C) are the mean values of liquids and cups.

The equation becomes

[tex]E(L + C) = 250g + 150g[/tex]

[tex]E(L + C) = 400g[/tex]

Hence, the mean of T is 400

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Answer:

not 100% confident but I think this is at least close

Step-by-step explanation:

solve for one variable

1. x-5y=2

x=2+5y

plug this in to another equations and simplify

2. (2+5y)-y=16

2+4y=16

4y=14

y=3.5

this can be plugged in to all other equations to find x

1. x-5(3.5)=2

x-17.5=2

x=19.5

2. x-(3.5)=16

x=19.5

3. 2x-(3.5)=5

2x=8.5

x=4.25

4. x-3(3.5)=4

x-10.5=4

x=14.5

Answer:

x = (28 +- root -64) / (8)

Step-by-step explanation:

4x^2 -28x= -53 = 0

x = [-(-28)+- root (-28)^2 - 4 * 4 * 53] / 2 *4

x = (28 +- root 784 - 848) / (8)

x = (28 +- root -64) / (8)

Answer:

Roughly 2857.14

Step-by-step explanation:

Answer:

2857.14285714 feet.

Step-by-step explanation:

If we put your question into an equation, we get:

7/100 * n = 200

We multiply both sides by 100 to get rid of the fraction, and get:

7n = 20000

Then, to find n, we divide both sides by 7.

Therefore,

n = 2857.14285714.

Answer:

maybe 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

here you go mate

step 1

−(8 − 12) + 60 + (-4)2  Equation/Question

step 2

−(8 − 12) + 60 + (-4)2  simplify

-(-4)+60+(-4)(2)

4+60+(-4)(2)

64+(-8)

answer

56

The value of the given expression −(8 − 12) + 60 + (−4)² will be 80.

Arithmetic operators are operators in mathematics where basic four operators involve. Addition, multiplication, division, and subtraction.

Addition =  addition of two or more numbers or variable

For example =3 + 4

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example =8 - 9

Division = divide any two numbers or variable called division.

For example 7/3

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 4.

Given,

⇒  −(8 − 12) + 60 + (−4)²

⇒ -(-4) + 60 + 16

⇒ 4 + 60 + 16

⇒ 80

Hence "The value of the given expression −(8 − 12) + 60 + (−4)² will be 80".

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Answer:

c

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

-5×2+3x=11

(-5×2)+3x=11

-10+3x=11

3x=11+10

3x=21

x=21÷3

x=7

Answer:

subtract to eliminate y

Answer:

B

Step-by-step explanation:

add to eliminate y

Answer:

[tex]Probability =0.1744[/tex]

Step-by-step explanation:

Given

Total

[tex]American = 11[/tex]

[tex]Canadian = 18[/tex]

Selection

[tex]American = 0[/tex]

[tex]Canadian = 4[/tex]

Required

Determine the probability of selecting a 4 committee member that are Canadian.

First, we calculate total possible selection.

[tex]Total = American + Canadian[/tex]

[tex]Total = 11 + 18[/tex]

[tex]Total = 27[/tex]

Number of ways to select 4 from 27 is:

[tex]^{27}C_4 = \frac{27!}{(27-4)!4!}[/tex]

[tex]^{27}C_4 = \frac{27!}{23!4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24}{4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}[/tex]

[tex]^{27}C_4 = \frac{421200}{24}[/tex]

[tex]^{27}C_4 = 17550[/tex]

Next, we calculate ways of selecting 4 Canadians from 18 is:

[tex]^{18}C_4 = \frac{18!}{(18-4)!4!}[/tex]

[tex]^{18}C_4 = \frac{18!}{14!4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15}{4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}[/tex]

[tex]^{18}C_4 = \frac{73440}{24}[/tex]

[tex]^{18}C_4 = 3060[/tex]

The required probability is:

[tex]Probability =\frac{3060}{17550}[/tex]

[tex]Probability =0.1744[/tex]

The required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

The relative frequency of the data is the ratio of the given frequency to the total frequency in the observation.

From the given data,

Relative frequency = given frequency / total frequency

Where total frequency = 0.04 + 0.4 + 0.12 + 0.24 + 0.2 = 1

Value     Relative frequency       Cumulative frequency

3                 0.04/1 = 0.04                  0.04    

4                 0.4/1 = 0.4                    0.04 + 0.4 = 0.44  

5                    0.12                           0.44 + 0.12 = 0.56

6                   0.24                           0.56 + 0.24 = 0.80  

7                     0.2                            0.80 + 0.2 = 1

Thus the required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

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Answer:

6x^3 - 4x^2 - 8x - 16

Step-by-step explanation:

6x^3 + 8x^2 + 8x - 12x^2 - 16x - 16

combine

6x^3 - 4x^2 - 8x - 16

Answer:

Methane emissions account for 7% of Florida’s

Greenhouse gas emissions .

Methane from Florida’s livestock is being used to generate clean

Electricity .

Step-by-step explanation:

You had it right!  Great job!

Answer:

green house emissions and electricity

Step-by-step explanation:

i just took it

Given:

1 set requires 4 couples 8 dancers.

Total number of people at a square dance = 250.

To find:

The greatest number of sets possible at the dance.

Solution:

We have,

Total people = 250

1 set = 8 people.

[tex]\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}[/tex]

[tex]\text{Number of possible sets}=\dfrac{250}{8}[/tex]

[tex]\text{Number of possible sets}=31.25[/tex]

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

[tex]\text{Number of possible sets}\approx 31[/tex]

Therefore, the number of possible sets at the dance is 31.