Suppose you need to put a fence around a rectangular garden that has a perimeter of 64ft. The width is 12ft less than the length. Find the width and length of the garden.

Answer:965.3

Step-by-step explanation:

Answer:

you subtracted 2y from both sides to each side getting 2y = 10x +8

Step-by-step explanation

Step-by-step explanation:

10x was added to both sides which resulted in

2y = 10x + 8

now divide both sides by 2

y = 5x + 4

The slope is 5 and the y intercept is (0,4)

Answer:

[tex]\sqrt{74}[/tex] units

Step-by-step explanation:

Hi there!

We can use the Pythagorean theorem to solve this question:

[tex]a^2+b^2=c^2[/tex] where a and b are the two legs and c is the hypotenuse

Plug in the two legs 5 and 7 and solve for c, the hypotenuse:

[tex]5^2+7^2=c^2\\25+49=c^2\\74=c^2\\c=\sqrt{74}[/tex]

Therefore, the length of the hypotenuse in radical form is [tex]\sqrt{74}[/tex] units.

I hope this helps!

Answer:

24p^2q^2?

Step-by-step explanation:

Not enough info, so this is what I could get...

Answer:

last one

Step-by-step explanation:

last one

Answer:

30 Chairs

Step-by-step explanation:

I will solve this problem using algebra and try to explain in detail.

We can form two equations with the information given to us.

Firstly, 5 times a length of chairs (I will call this unknown length of chairs x), plus 5 left over chairs, equals the total number of chairs (I will call the total number of chairs y).

5x + 5 = y

Secondly, 3 times a length of chairs (I will call this unknown length of chairs x), plus 15 left over chairs, equals the total number of chairs (I will call the total number of chairs y).

3x + 15 = y

Since both equations are equal to y, they are equal to each other

5x + 5 = 3x + 15

Take 5 away from both sides of the equals, and take away 3x from both sides of the equals

5x - 3x = 15 - 5

2x = 10

Divide both sides by 2

x = 5 chairs

Put this back into either the first equation or the second to solve for y

3 (5) + 15 = y

15 + 15 = y

y = 30 chairs

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Answer:

m∡2 = 70°

Step-by-step explanation:

angles 2 and 3 have the same measure in degrees because they are 'vertical angles'

The equation that relates xxx, yyy, zzz, and www is  xxxyyy = wwwzzz

Since Wilmer went up the hill for xxx minutes at a speed of yyy kilometeres per minute, the distance d he moves up the hill is d = speed × time = yyy × xxx = xxxyyy.

Also, Wilmer travels the same path at a speed of zzz kilometers per minute and it took him www minutes. So, the distance d' he moves down hill is d' = speed × time = zzz × www = wwwzzz.

Since the distance he moves up the hill equals the distance he moves down the hill, d = d'

So, xxxyyy = wwwzzz

So, the equation that relates xxx, yyy, zzz, and www is  xxxyyy = wwwzzz

Learn more about equations here:

https://brainly.com/question/12354057

Answer:

xy = wz

Step-by-step explanation:

Answer:

y = 122

Step-by-step explanation:

let us start by adding some angles ourselves.

we are going to add angles at the right side of 150 and at the left of y

we can call the angle beside 151 x and the angle beside y A

first of all, let us find the value of x

now, angles 151 and x add up to 180 because angles on a straight line add up to 180 and the two angle are on a straight line of their own

which means;

151 + x = 180

when we collect like terms,

x = 180 - 151

x = 29

therefore, our x = 29

next, we find A

now, angles 29 ( our x ), 93 and our A all add up to 180 because the sum of angles in a triangle is 180 and our angles are in a triangle ( at least an upside down one with lines shooting out from every end )

that is;

29 + 93 + A = 180

collect like terms

A = 180 - 29 - 93

A = 180 - 122

A = 58

so, now that we have our angle A, the next thing to do is the same thing we did to get angle x,

we can see that A and y are both on a straight line of their own which means that they both add up to 180 degrees

that is;

A + y = 180

and we know that A = 58

so;

58 + y = 180

we collect like terms to have

y = 180 - 58

y = 122

therefore, y = 122

if you might have noticed, y is the same as x and 93

and that is correct because according to a rule in math, the value of an exterior angle of a triangle is equal to the sum of its opposite interior angles of the triangle. this can be explained using our question above

it's the fourth option

what you need to do is convert them all to a decimal and compare them to see which one applies :)

decimal form:

3.14, 2.70, 2.28

Answer:

15 units

Step-by-step explanation:

hope i helped!

8.25

Simple question, but it's cause 30-20 = 10 and half of 10 is 5

Answer:

8.25

Step-by-step explanation:

halfway from .20 is 25 so

Answer:

9 nickels dude its soo easy.

Step-by-step explanation:

Answer:

9 nickles

Step-by-step explanation:

3 dimes is 30 cents

42 pennies is 42 cents

9 nickles is 45 cents

Answer: 6 2/25

Step-by-step explanation:

8/100 + 6

6= 6/1

6/1 + 8/100= 6 6/25 = 6.08

Answer:

6.08

Step-by-step explanation:

1. 1 hundredth is equal to 0.01 because it's 1 unit of out 100.

2. 1 whole is equal to 1 because it's just one, whole unit.

3. Given this information, 8 hundredths would be 0.08 and 6 wholes would be 6.

4. Now, to find the sum, just add these two numbers together:

Therefore, the answer is 6.08.

Answer:

slope intercept form or an linear equation.

Answer: The vector relies on how the objects of where the magnitude and directions should lay on.

Step-by-step explanation:

So, I’ll help you with these 4 problems. So, for the vector 2/4, it would 2 units up and 4 units to the right. The second would be 5 units down and 6 units to the right. The third one would be 3 units up and 1 unit to the left. The last one would be 10 units downs and 12 units to the left. A simplified way of thinking of this is to just look at the signs of the number and see where the vector’s magnitude and directions would go in that point of view when you visual the graph or count it in your head.

Answer:

D

Step-by-step explanation:

#1

m<LOM=m<JKL

#2

Linear pair .

#3.

Complementary angles

#4

Angle bisector theorem

#5

Similarity theorem

As per the given condition m ∠LOM = m ∠JKI, m ∠MON = m ∠IKH it is proved that m ∠LON = m ∠HKJ as they are congruent angles.

"Congruent angles is defined as the angles with equal measure."

According to the question,

In the given figure of the angles,

m ∠LOM = m ∠JKI  (given congruent angles)                     _____(1)

m ∠MON = m ∠IKH  (given congruent angles)                  _______(2)

Add both the side angle  m ∠MON in (1) we get ,

m ∠LOM + m ∠MON = m ∠JKI + m ∠MON

Replace angle  m ∠MON = m ∠IKH from (2)  on right hand side we get,

m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH      ____(3)

m ∠LOM + m ∠MON = m ∠LON  ( M is the interior point of ∠LON)    ___(4)

m ∠JKI + m ∠IKH = m ∠HKJ  ( I is the interior point of ∠HKJ)            ___(5)

Form (3) , (4) and (5) we get,

m ∠LON = m ∠HKJ  (Congruent angles)

Hence, form the given condition it is proved that m ∠LON = m ∠HKJ , are congruent angles.

Learn more about congruent angles here

https://brainly.com/question/24887947

#SPJ2

Answer:

- 6(1 - y)(1 + y)

Step-by-step explanation:

- 6 + 6y² ← factor out - 6 from each term

= - 6(1 - y²) ← (1 - y²) is a difference of squares

= - 6(1 - y)(1 + y)

Answer:

There is no picture or anything.

Step-by-step explanation:

But to find the quotient all you have to do is divide!

Hope that helps!

How was your day? I hope it was great! :)

Answer:

[tex]\displaystyle k = 20[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = 3x^3 - 2x + k[/tex]

Where (x + 2) is a factor of f. And we want to determine the vale of k.

Recall that from the Factor Theorem, if (x - a) is a factor of a polynomial P(x), then P(a) must equal 0.

We can rewrite our factor as (x - (-2)). Hence, a = -2. Our polynomial is f. Since (x + 2) is a factor, then from the Factor Theorem, f(-2) must be 0.

Using this information, we can now determine k:

[tex]\displaystyle\begin{aligned} f(x) & = 3x^3 -2x + k \\ \\ f(-2) = 0 & = 3(-2)^3 -2(-2) + k \\ \\ 0 & = (-24) + (4) + k \\ \\ k & = 20 \end{aligned}[/tex]

In conclusion, the value of k is 20.

Answer:

Step-by-step explanation:

Let's see what is similar in both triangles

So Angle-Angle-Angle similarly theorem verified

So Side-Angle-side or Side-Side-Side similarity theorem verified

Answer:

The answer is 4/9. But I do not think that the options that you provided are true.

Answer:

21

Step-by-step explanation:

to find the number you have to add 3 to zero and then multiply by 7 to get 21 because 21 divided by 7=3 and then subtract 3 and you get zero

Answer:

[tex]y=(x-4)^{2}[/tex]

Step-by-step explanation:

Find some points on the graph to do the plot.

[tex]x=0\\x=1\\x=2\\x=3\\x=4[/tex] [tex]y=16\\y=9\\y=4\\y=1\\y=0[/tex]

Complete the remaining part of the graph by symmetry.

Answer:

19 inches and 26 inches

Step-by-step explanation:

first you have to take 45-7=38

then 38÷2=19

so 19 is one board

last you take 19+7=26

so 26 is the other board