Answer:
The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]
Step-by-step explanation:
Given
[tex]A = 15[/tex] --- area
Required
Find the shortest possible perimeter
Area is calculated as:
[tex]A=l * b[/tex]
This gives:
[tex]l * b = 15[/tex]
Make l the subject
[tex]l=\frac{15}{b}[/tex]
Perimeter is calculated as:
[tex]P =2(l + b)[/tex]
Substitute [tex]l=\frac{15}{b}[/tex]
[tex]P =2(\frac{15}{b} + b})[/tex]
Rewrite as:
[tex]P =2(15b^{-1} + b)[/tex]
Differentiate and minimize;
[tex]P' =2(-15b^{-2} + 1)[/tex]
Minimize by equating P' to 0
[tex]2(-15b^{-2} + 1) = 0[/tex]
Divide through by 2
[tex]-15b^{-2} + 1 = 0[/tex]
[tex]-15b^{-2} = -1[/tex]
Divide through by -1
[tex]15b^{-2} = 1[/tex]
Rewrite as:
[tex]\frac{15}{b^2} = 1[/tex]
Solve for b^2
[tex]b^2 = \frac{15}{1}[/tex]
[tex]b^2 = 15[/tex]
Solve for b
[tex]b = \sqrt{15[/tex]
Recall that: [tex]P =2(\frac{15}{b} + b})[/tex]
[tex]P = 2 * (\frac{15}{\sqrt{15}} + \sqrt{15})[/tex]
[tex]P = 2 * (\sqrt{15} + \sqrt{15})[/tex]
[tex]P = 2 * (2\sqrt{15})[/tex]
[tex]P = 4\sqrt{15}[/tex]
The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]
HELPPP ASAP!!!
How many cubes are in this set?
Answer:
7
Step-by-step explanation:
7 because it's not asking for squares it asking for cubes
60 minutes is what percentage of 1 hour?
Answer:
100%
Step-by-step explanation:
Answer: 100 is your answer hope this helped
plz make brainly
Step-by-step explanation:
A 180 pound weight is supported by two ropes each at 30 degrees, as shown in the figure. Find the tension in each rope.
Answer:
= 41.32N
To find N amount
You find the kg weight then times it by 10 then divide that amount by 1/2
So that 180pounds = 81.6466 x 10kg
x10 = 816.466
81.6466 / 2 = 40.8233
sin(30) = 40.8233/T
T = 40.8233/sin (30) = N / sin(30) = Tension = calculator = -41.3178070464 = 41.32 N
which sentence best describes percy's rectangle
I need help ASAP plzzzz help
Answer:
D. X = 130 in.
Step-by-step explanation:
a² +b² =c² (Pythagorean theorem)
50² + 120²=c²
2,500 + 14,400 =c²
16,900 = c²
√16900 = √c²
130 = c
X = 130 in.
Plzzz help me, like plzzz
Answer:
y = 28
Step-by-step explanation:
28 = y
28 = 28
the angles are equal to each other because they are vertical angles
a first number plus twice a second number is 8 twice the first number plus the second totals 25
Answer:
x=14 y=-3
Step-by-step explanation:
if 100 ml of rat poison is mixed with 2,5l of water then what would be the simplified poison water ratio
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1:25 ratio of rat poison to water
Explanation:
100:2500
10: 250
1:25
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
I need help with this please help me out
Answer:
A and E
Step-by-step explanation:
hope that helps
50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.
I know from the answer key that the answers are x=
3 \sqrt{10}310
and y=
2 \sqrt{10}210
but I'm not sure how to get there...
Answer:
x = 3/5√10
y = 2√10
Step-by-step explanation:
using the Pythagorean theorem:
y² = 7² - 3² = 49 - 9
y² = 40
y = 2√10
3/4.5 = y/5x
4.5y = 15x
substitute for y:
4.5(2√10) = 15x
15x = 9√10
divide both sides of the equation by 15:
x = (9√10)/15 = 3/5√10
Find the probability that a randomly selected points within a square falls in the blue shaded area (circle)
Answer:
78.8 %
Step-by-step explanation:
From the question,
Area of the square = L²
A = L²
Where L = Length of the square.
From the diagram,
L = 4 in
Therefore,
A = 4²
A = 16 in².
Also,
Area of the circle (A') = πr²
Where r = radius of the circle.
Given: r = 2 in
Therefore,
A' = 22/7(2²)
A = 12.6 in²
Hence,
The probability that a randomly selected points within a square falls in the blue shaded area (Pr) = A'/A
Pr = 12.6/16
Pr = 0.7875
Pr(%) = 78.75
Pr(%) = 78.8 %
Evaluate (8 x 10-3) +0.45 – (7 X 10-2). Write your answer in
scientific notation.
Answer: 80 x − 60.55
I need help it's easy but not for me
Answer:
1. C. h = 2s + 75
2. J. c = 65m + 25
3. C. y = -3/5x + 3
4. F. T = 129c - 75
5. A. y = -0.5x -1
Which values are solutions of the inequality 5
Choose ALL that apply.
9 or 13 or 15 or 20
Answer:
a i forgot
Step-by-step explanation:
p-5 = 19
answer step by step & explain
Answer:
Step-by-step explanation:
Very simple.
p - 5 = 19
So to take out the -5 on that side, you must also do the same thing to the other side. So adding 5 in one side of the equal sign would mean you have to do the same thing on the other side of the equal sign.
SO:
p-5 +5 = 19+5
p = 24
Solve for x. round to the nearest then tenth. Please help!!!
Answer:
13.7
Step-by-step explanation:
Answer:
x=36
Step-by-step explanation:
22+x=58
22-22= cross that out
58-22= 36
x=36
use the model below to write and solve equation
Answer is:
X is 1, very simple
Two teams are playing in the finals for an adult softball league. Each team has 13 players and the ages of the team members are shown in the tables. Which statement is true?
A) The mean for team 1 is greater than the mean for team 2.
B) The median for team 1 is greater than the median for team 2.
C) The median for team 2 is greater than the median for team 1.
D) The value of Q1 for team 1 is greater than the value of Q1 for team 2.
Answer:
B
Step-by-step explanation:
15!!!! POINTSS what is the mode in the data shown below
Can someone solve this with explaining it
Answer:72
Step-by-step explanation:
72+37=109
180-109=72
I IS MATH
Answer:
72°+37°+x°=180°(being exterior angles)
109°+x°=180°
x°=180°-109°
x°=71°
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary
Answer:
Step-by-step explanation:
13). Area of a square = (Side)²
= (BC)²
Since, diagonals of a square bisect each other at 90°,
ΔBOC is a right triangle.
By applying Pythagoras theorem in the given triangle,
BC² = OB² + OC²
BC² = 2(OB)²
BC² = 2(7√2)²
BC = [tex]\sqrt{196}[/tex]
Area of square ABCD = (BC)²
= (√196)²
= 196 units²
14). Measure of interior angles of the regular hexagon = 120°
Area of the regular hexagon = [tex]\frac{3\sqrt{3}}{2}(\text{side})^2[/tex]
From the given picture,
m∠BAC = m∠ABC = m∠ACB = 60°
Therefore, ΔABC is an isosceles triangle.
And all sides of this triangle will be equal in measure.
AB = AC = BC = 9 units
Area of the given regular hexagon = [tex]\frac{3\sqrt{3}}{2}(9)^2[/tex]
= 210.44 square units
≈ 210.4 square units
Please help
I need the answer
Answer:
D. 14448
Step-by-step explanation:
S = Base area + lateral surface area
=2*(1/2*(56*42)) + (56+42+70)*72
= 2352 + 12096
= 14448
Help!!!!
There is one dot at 3.45. What does that value
represent?
A school administrator claims that the average GPA of
the senior class is 3.53. You think that the average GPA
is greater than that, so you select a random sample of
100 seniors and calculate their average GPA. The
sample mean GPA is 3.70.
Using technology, you simulate selecting 100 SRS of
size n = 100 from a population of seniors for which the
mean GPA is 3.53. This dotplot shows the results.
O In one simulated SRS of 100 students, the average
GPA was = 3.45.
In one simulated SRS of 100 students, the
population mean GPA was u = 3.45.
There is a 1 out of 100 chance that the population
mean GPA is = 3.45.
O A majority of the sample of 100 students had a GPA
of r = 3.45.
Answer: In one simulated SRS of 100 students, the average GPA was x= 3.45
Step-by-step explanation:
Each dot in the dot plot in representation of one sample of 100 students, also I just turned it in
Answer:
A
Step-by-step explanation:
EDGE
what is the measure of ZDEG on circle O?
Answer:
∠ DEG = 50°
Step-by-step explanation:
Angles on the circle subtended by the same arc are congruent.
∠ CFG and ∠ DEG are angles on the circle subtended by arc CD , then
∠ DEG = ∠ CFG = 50°
Answer:
50° parallel lines subtended on circumference theorem, and congruent angles seen as subtended on same arc lone examples attached.
Which expression is equivalent to:1/2(x-8)+3x
Answer:
Step-by-step explanation:
1/2*(x-8)+3x=x/2-4+3x=3.5x-4
Hope this helps!
Help please! Thank you will make brainly
Answer:
he can buy 7 video games
Step-by-step explanation:
Answer: He can buy up to 7 video games
Step-by-step explanation:
You can't buy .8 of a video game so you have to round down to the nearedt whole number which is 7
what is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5, 9.1)?
Answer:
(-5/2, 3/2)
Step-by-step explanation:
[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)
what is it what is it what is it?!
Answer:
1.0 g element will be remaining after 19 minutes
Step-by-step explanation:
Answer:
1.0 g element will be remaining after 19 minutes
Step-by-step explanation:
A square is drawn below what is the value of x
Answer:
You donf have the picture shown, how is anybody supposed to work on it
Hurry need help on number 1 fast pls pls pls!!!
Answer:
the second answer is the answer