You have taken up gardening for relaxation and have decided to fence in your new
rectangular shaped masterpiece. The length of the garden is 4 meters and 34 meters
of fencing is required to completely enclose it. What is the width of the garden?

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

Answer:

80 - (-9) = 89.

Explanation:

In math, two negatives next to each other will become a positive. Since a negative number is being subtracted, The negatives will cancel.

So this:

80 - (-9)

Is functionally the same as this:

80 + 9

Therefore, the answer is 89.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \frac{6}{20} \: \: \: {ft}^{2} }}}}}[/tex]

Option D is correct.

Step-by-step explanation:

Length of the rectangle = [tex] \sf{6 \frac{4}{5} \: ft}[/tex]

Width of the rectangle = [tex] \sf{4 \frac{3}{4} } \: ft[/tex]

Finding the area of a rectangle having length of [tex] \sf{6 \frac{4}{5} \: ft}[/tex] and width of [tex] \sf{4 \frac{3}{4} } \: ft[/tex]

[tex] \boxed{ \sf{area \: of \: a \: rectangle = length \times width}}[/tex]

[tex] \dashrightarrow{ \sf{6 \frac{4}{5} \times 4 \frac{3}{4} }}[/tex]

Convert the mixed number into improper fraction

[tex] \dashrightarrow{ \sf{ \frac{6 \times 5 + 4}{5} \times \frac{4 \times 4 + 3}{4}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{30 + 4}{5} \times \frac{16 + 3}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{34}{5} \times \frac{19}{4}}} [/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator

[tex] \dashrightarrow{ \sf{ \frac{34 \times 19}{5 \times 4}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{646}{20} }}[/tex]

Convert the improper fraction into mixed number

[tex] \dashrightarrow{ \boxed{ \sf{32 \frac{6}{20} \: \: {ft}^{2} }}} [/tex]

Hope I helped!

Best regards! :D

Answer:

9 months

Step-by-step explanation:

8 sculptures....... 6 months

12 sculptures...... X months

X=12 ×6 :8

X=72 :8

X=9 months

Answer:

(-1,5)

Step-by-step explanation:

To find this, you have to add both "x" coordinates, then divide them by two.

Same thing goes for the "y" coordinates, add them, then divide them by two.

x-coordinates --->  2+(-4)= -2

y-coordinates ---> 1+9= 10

-2÷2= -1

10÷2= 5

That gives you, (-1,5).

Answer:

A segment is called a perpendicular bisector of another segment if it goes through the midpoint and is perpendicular to the segment. While there can be many segments that bisect another segment, only one segment can be the perpendicular bisector.

Step-by-step explanation:

perpendicular bisector

Answer:

y = -3

Step-by-step explanation:

2y +3y = -10 -5 (collect the terms then calculate)

5y = -15 ( divide both sides )

then you'll get your answer which is y = -3

Answer:

So this is scientific notation what you do is

2.9x10^5 so you put however many zeros the is powered to 10. See there is a 5 It has to be behind or in front of the decimal you might be saying how do you know if its behind or in front well negative is in front and positive is behind .

290,000 there was a number already behind the decimal so there you go 5 number behind the decimal.  

Same for the second one

290,000  870,000 is your answers so now you add hem together

1,160,000 is your final answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Umm

Answer:

240

Step-by-step explanation:

57600=10×24×10×24

Answer:

x=1

Step-by-step explanation:

So, first you make sure to multiply the parenthesis by the negative so then it would be,

-x-3=2x-6

Then you add the -3 from the right to the other side

so, -x=2x-3

Then you want all the X variables to one side so you subtract the 2x to both sides.

so, -3x=-3

divide both by -3

x=1

Answer:

  1/6

Step-by-step explanation:

2/3 - 1/2 = 4/6 - 3/6 = 1/6

1/6 quart remains.

Answer:

There are 1/6 quarts left in the container.

Step-by-step explanation:

You need to subtract 1/2 (the paint used) by 2/3 (the paint in the container)

First, find the LCD (lowest common denominator) if you want to subtract.

3 x 2 = 6; you do the same to the numerator 2 x 2 = 4

4/6 (paint in the container)

2 x 3 = 6; you do the same to the numerator 1 x 3 = 3

3/6 (paint used)

Now, you subtract.

4/6 - 3/6 = 1/6 quarts

Answer:

2/23/140+50ismmm/50

148/'320"120+4640=%40=40

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

i think this is the answer not quite sure tho

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

Answer:

m = 1

Step-by-step explanation:

4 x 1 + 3 = 7

Answer:  Addition property

Step-by-step explanation:

In the equation 4m + n = 7  , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7   so 3 has been added on each side.

Answer:

$909.62

Explanation:

If Sonjesa makes $47,300 a year and in a year there are 52 weeks we do the equation...

$47,300 / 52 weeks = weekly salary

47300 / 52 = 909.615

If we round that equals $909.62

Hope this helps!

Explanation:

Let's say,

(x1,y)  (x2,y2)

are two points in a

xy

plane. We can find the shortest distance between two point by applying the distance formula stated as:

Distance

=√(x2−x1) 2+(y2−y1) 2

So by putting our given points

(x1,y1)=(6,−5) and (x2,y2)=(−1,−4)

in the distance formula, we have:

¯¯¯¯¯¯CD=√(−1−6)2+(−4−(5)2

Simplify to get:

5√2

Answer:

(7,0)

Step-by-step explanation:

easiest thing to do is combine like terms. There are 9 2's, which means 9(2) which equals 18. Now for the X's. There are 9 X's meaning (9)x which is 9x. This all makes up

18+9x

hope this helps

Answer:

9x +18

Step-by-step explanation:

Answer:

D) 2a-6

Step-by-step explanation:

Graham sold 6 less = -6

Than double what Adriania sold. = 2a

2a - 6

Answer:

true

Step-by-step explanation:

Answer: true

Step-by-step explanation:

Answer:

Substitution Property

Answer:

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Step-by-step explanation:

Given matrix is,

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

Operations performed,

-10R₂ → R₂

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

3R₃ → R₃

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Answer:

the multiple choice is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

where is the photo?

Answer:

536.17

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

15 is the only number with a multiple of 5.

The Number of classmates in his group is less than 21

An inequality is an inequation separated by <,>≥,≤.  the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

Given here: Jake's class has 24 students and she is to choose a group which is a multiple of 5

Thus the possible multiples of 5 between 1 and 24 are

5,10,15,20

Therefore all these multiples are less than 21

Hence, The Number of classmates in his group is less than 21

Learn  more about inequalities here:

https://brainly.com/question/28823603

#SPJ2

Answer:

a, c, and f

Step-by-step explanation:

becuase i took the test

Answer:

1) Linear Pair

2) Adjacent

3) Complmentary

4) Vertical