Name a pair of adjacent angles in the diagram above.

22. Many rectangles have a perimeter of 81 feet. Find the dimensions for the one with the maximum enclosed area.

melisa1 [442]

Let
x----------> the length of the rectangle
y---------> the width of the rectangle

we know that
perimeter of rectangle=2*[x+y]
area of rectangle=x*y
P=81 ft
so
81=2*[x+y]-----------> 40.5=[x+y]

case A) 20.25 feet × 20.25 feet
P=2*[20.25+20.25]-----> 81 ft----------> the perimeter is ok
A=20.25*20.25-----> 410.06 ft²

case B) 11 feet × 29.5 feet
P=2*[11+29.5]-----> 81 ft----------> the perimeter is ok
A=11*29.5-----> 324.5 ft²

case C) 9 feet × 9 feet
P=2*[9+9]-----> 36 ft----------> the perimeter is not 81
A=9*9-----> 81 ft²

case D) 17.5 feet × 23 feet
P=2*[17.5+23]-----> 81 ft----------> the perimeter is ok
A=17.5*23-----> 402.5 ft²

the answer is
case A) 20.25 feet × 20.25 feet

5 0

3 years ago

Someone plz help me with all of them

sukhopar [10]

15. They are still 6 blocks away from each other.
16. (-6,1) art and (-6,-2) animal. They are the same distance from each other as before because they moved together the same distance right to left across the coordinate plane.
17. The new location is (3,2). It is 8 blocks away from the old.

18.
A. I have attached the graph.
B. A triangle
C. $A= \frac{a*b}{2} = \frac{4*4}{2} = \frac{16}{2} =8 m^{2}$

Hope that helps

3 0

3 years ago

The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. Accordi

lesantik [10]

Answer:

(a) The first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

The second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

The third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

(b) The 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

Step-by-step explanation:

The first, second the third quartile are the values that let a probability of 0.25, 0.5 and 0.75 on the left tail respectively.

So, to find the first quartile, we need to find the z-score for which:

P(Z<z) = 0.25

using the normal table, z is equal to: -0.67

So, the value x equal to the first quartile is:

$z=\frac{x-m}{s}\\ x=z*s +m\\x =-0.67*119 + 462\\x=382.27$

Then, the first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

At the same way, the z-score for the second quartile is 0, so:

$x=0*119+462\\x=462$

So, the second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

Finally, the z-score for the third quartile is 0.67, so:

$x=z*s +m\\x =0.67*119 + 462\\x=541.73$

So, the third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

Additionally, the z-score for the 99th percentile is the z-score for which:

P(Z<z) = 0.99

z = 2.33

So, the 99th percentile is calculated as:

$x=z*s +m\\x =2.33*119 + 462\\x=739.27$

So, the 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

8 0

3 years ago

Simplify (6ab3c)(-abc2). 6b 2c -6a 2b 4c 3 -6ab 3c 2

mylen [45]

Answer: The simplified version of (6ab3c)(-abc2) is -12a^2 b^4 c^2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

In the triangle below a=16. What is the area of the triangle to the nearest hundredth of a unit?

qwelly [4]

Answer:

-3.65

Step-by-step explanation:

(16/sin 120) sin 25

7 0

2 years ago