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lianna [129]
3 years ago
10

you want to make a rectangular dog pen using 20 yards od fencing. The side lengths must be in whole yards. create as many differ

ent rectangular pens as you can
Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0
Rectangular with whole numbers
perimiter=legnth+legnth+width+width=2l+2w
therefor
p=2l+2w=2(l+w)
p/2=l+w

perimiter=20
20=2l+2w
divide by 2 to make simpler
10=l+w
find all combos
l>w so
l=9 and w=1
l=8 and w=2
l=7 and w=3
l=6 and w=4

combos
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If 4 (log3 1/27)=X what is the value of X
givi [52]
4(log _{3} 1/27) =x
log _{3}  \frac{1}{27}^4  =x

Now remember: b^y=x  \\ equals  \\ log _{b}x=y

3^x =  \frac{1}{27}^4
3^x =  \frac{1}{531441}
log _{3} \frac{1}{531441} =x
\frac{ln\frac{1}{531441}}{ln3} = x
\frac{1}{531441} = 0.000002
you can now enter this into your calculator...

Answer: x = -0.083


7 0
3 years ago
Read 2 more answers
At the movie theatre, child admission is $5.70 and adult admission is $9.00 . On Tuesday, 163 tickets were sold for a total sale
alexandr402 [8]

Answer: 96 adult tickets were sold that day.

Step-by-step explanation:

Let x represent the number of children tickets that were sold at the movie theatre.

Let y represent the number of adult tickets that were sold at the movie theatre.

A total of 163 tickets were sold on Tuesday. This means that

x + y = 163

child admission is $5.70 and adult admission is $9.00. The total sales made on Tuesday was $1245.90. It means that

5.7x + 9y = 1245.90 - - - - - - - - 1

Substituting x = 163 - y into equation 1, it becomes

5.7(163 - y) + 9y = 1245.90

929.1 - 5.7y + 9y = 1245.90

- 5.7y + 9y = 1245.90 - 929.1

3.3y = 316.8

y = 316.8/3.3

y = 96

x = 163 - y = 163 - 96

x = 67

7 0
4 years ago
Lin created a scaled copy of Triangle A with an area of 72 square units. How many times larger is the area of the scaled copy co
Tju [1.3M]

Answer:

Copy's area is 16 times bigger then triangle area.

Step-by-step explanation:

Given:

Area of copy = 72 unit²

Find:

How bigger copy compared to triangle

Computation:

Area of triangle = [1/2][base][height]

Area of triangle = [1/2][3][3]

Area of triangle = 4.5 unit²

So.

Area of copy / Area of triangle

72 / 4.5

16

So,

Copy's area is 16 times bigger then triangle area.

3 0
3 years ago
Which statement about the angle measure is true
Delicious77 [7]

Answer:

D

Step-by-step explanation:

each angle of the triangle is 95° and the second angle has to be in alphabetical order

8 0
4 years ago
Graph the hyperbola with equation quantity x plus four squared divided by sixteen minus the quantity of y plus three squared div
PolarNik [594]
Please see the attached figure. This is how you draw a hyperbola. Its general formula is:

(x-h)²/a² - (y-k)²/b² = 1, where

(h,k) is the center
a is the semi-major axis
b is the semi-minor axis

The given equation is

(x+4)²/16 - (y+3)²/25 = 1

So, from the general form we can deduce that,
Center(-4,-3)
a = 4
b = 5

So, the first point we can plot is the centerpoint. Next, you draw the two intersecting lines. Their slopes are +/- b/a. Thus, it corresponds to +/- 5/4. Using this slope, we can find the equation of the two lines by using the slope and the center.

-3 = +5/4 (-4) + b ---> b= 2
-3 = -5/4 (-4) + b ---> b= -8

So, you plot the equations y=5/4x + 2 and y = -5/4 x -8 by assigning values of x and plotting them against y. Then, the vertex of the hyperbolas are 4 units from the center, denoted by the green dots. The hyperbola is shown in the next picture.

7 0
3 years ago
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