Answer:
The perimeter is 36 cm
Step-by-step explanation:
Given;
area of the rectangle, A = 81 cm²
let the Length, = L
let the breadth = b
Perimeter, P = 2L + 2b
Area, A = Lb = 81
[tex]L = \frac{81}{b} \\\\P = 2(\frac{81}{b} ) \ + \ 2b\\\\P = \frac{162}{b} \ + \ 2b\\\\P = 162(b^{-1}) \ + \ 2b\\\\minimize \ the \ perimeter \ to \ obtain \ the \ critical \ points;\\\\P' = -162 (b^{-2}) \ + \ 2\\\\P' = \frac{-162}{b^2} \ + \ 2\\\\P' = \frac{-162 \ + \ 2b^2}{b^2} \\\\at \ critical \ points; P' = 0\\\\\frac{-162 \ + \ 2b^2}{b^2} = 0\\\\-162 \ + \ 2b^2 = 0\\\\2b^2 = 162\\\\b^2 = 81\\\\b = +/- \ \sqrt{81} \\\\b = +/- \ \ 9\\\\[/tex]
[tex]since \ the \ breadth \ will \ be \ positive \ ; b = 9 \ cm[/tex]
L = 81/9
L = 9 cm
The perimeter = 2 (L + b)
= 2 (9 + 9)
= 2(18)
= 36 cm
Mia has
7/8 pound of bird food. She puts an equal portion into 4 bird feeders. How much bird food, in pounds, does she put into each bird feeder?
Answer:
7/32 pounds each = 0.21875
Step-by-step explanation:
7/8 divided into 4 is the same as
7/8 multiplied by 1/4 = 7/32
What is the volume of the cone below
Answer:
12.57
Step-by-step explanation:
V=πr^2 h/3
=π×2^2×3/3
Answer:
[tex]12.57\ ft^3[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\Radius\ of\ the\ base\ of\ the\ cone(r)=2\ feet\\Perpendicular\ height\ of\ the\ cone(h)=3\ feet\\Hence,\\We\ know\ that,\\Volume\ of\ a\ cone\ of\ perpendicular\ height\ h,\ and\ a\ base\ radius\ of\ r\ is:\\V=\frac{1}{3} \pi r^2h\\Here,\\Substituting\ r=2\ and\ h=3,\ we\ get:\\Volume\ of\ the\ given\ cone=\frac{1}{3}*\pi*(2)^2*3=\frac{\pi*4*3}{3}=\pi*4 \approx 12.57\ ft^3[/tex]
PLEASE PLEASE PLEASE HELP
Find the area of the following figures:
Answer:
The area of the following figure is 400 [tex]m^2[/tex].
Step-by-step explanation:
On the left side of the figure, you'll see that there is a half-circle with a diameter of 20 meters. On the right side of the figure, there is a gap for a half-circle with a diameter of 20 meters. To make the calculation process easier, you can imagine that you take the half-circle from the left side and fit it onto the gap on the right in order to form a 20 meters by 20 meters square. Now you can just multiply the side lengths together to find the area, which will be 20 * 20 = 400 [tex]m^2[/tex].
HELP ME WITH THIS PLEASE
Answer:
B. 63
Step-by-step explanation:
line M is 180 degrees just subtract 180 by 117 to find the angle
Points S, U, and T are the midpoints of the sides of TrianglePQR. Triangle S U T is inside of triangle P Q R. Points S, U, and T are the midpoints of triangle P Q R. Which statements are correct? Check all that apply.
Answer:
1/2 QP = UT
SU ║ RP
Step-by-step explanation:
If UT is parallel to QP, then it is half the length of QP. ΔTUR ~ ΔPQR with a scale factor of 1/2.
It T is the midpoint of PR, then SU is parallel to RP and half its length. Again, ΔQSU ~ ΔQPR with a scale factor of 1/2.
_____
There is no diagram accompanying this problem statement. If the above assumptions are incorrect, then the conclusions are incorrect.
Answer:
A and D
Step-by-step explanation:
it just is
Solve the following quadratic equation
5х2 - 10x – 21 = 39
Answer:
x=1+√13 or x=1−√13
Step-by-step explanation:
Step 1: Subtract 39 from both sides.
5x2−10x−21−39=39−39
5x2−10x−60=0
For this equation: a=5, b=-10, c=-60
5x2+−10x+−60=0
Step 2: Use quadratic formula with a=5, b=-10, c=-60.
x=
−b±√b2−4ac
2a
x=
−(−10)±√(−10)2−4(5)(−60)
2(5)
x=
10±√1300
10
x=1+√13 or x=1−√13
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form by subtracting 39 from both sides. We get:
5x^2 - 10x - 60 = 0
Reduce this by dividing all four terms by 5:
x^2 - 2x - 12 = 0
Use the quadratic equation to find the roots. The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:
(-2)^2 - 4(1)(-12) = -44 of which 4 is a perfect square factor and 11 is not.
Because the discriminant is negative, the given equation has two unequal, complex roots, which are:
-(-10) ± i√4√11
x = -----------------------
10
or x = 1 ± (1/5)√11
Given that DAB and DCB are right angles and BDC = 48°, what is CAD (The figure is not drawn to scale.)
192
324
276
288
Answer:
276 degrees
Step-by-step explanation:
Angle <CBD
90 - 48 = 42 degrees
Corrisponding center angle = 84 degrees
m arc CAD
360 - 84 = 276 degrees
I don’t know the answer
Answer:
3 is the answer
Step-by-step explanation:
Mark brainliest
Camille is packing moving boxes. She has one 4 cubic-foot box and one 7 cubic-foot box. How many cubic feet of clothing can she fit in the two boxes?
Answer:
He can fit 11 ft^3
Step-by-step explanation:
Here, we want to get the volume it clothes that could fit into the two boxes
What we have to do here is to add the amount of space each of the box has to offer
Mathematically, we have this as;
7 ft^3 + 4 ft^3 = 11 ft^3
WILL MAKE BRAINLIEST
Answer:
75 vitamins = 18 dollars
Step-by-step explanation:
25 vitamins are equal 6 dollars
Answer:
$311.25
Step-by-step explanation:
Hope its right! 50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15
1/$4.15 x 75 = 75/$311.25 I hope this is right if not im so sorry!
38. Evaluate the expression below for
x = 4
6(x + 7)
A 24 B 31 C 42 D 66
Answer:
D. 66
Hope this helps!!
Someone help with this please!
Answer:
Two Real Solutions
Step-by-step explanation:
Use quadratic equation discriminant5t^2+3t-7=0
[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:
Since the discriminant is greater then 0, it two real solutions.
Consider the equation:
3+2 = 22 +30
1) Rewrite the equation by completing the square.
Your equation should look like (x + c)2 = d or (x – c)2 = d.
2) What are the solutions to the equation?
Choose 1 answer:
A
x = 1+2
B
x = -1/2
C = 12
D
2 = -1+2
Answer:
3+2 = 22 +30= 59 1/2
(x + c)2 = d or (x – c)2 = d. = (c * d)(x) = 4x^3 + 18x^2 - 10x
X=1+2
Step-by-step explanation:
sorry if wrong was every confused
please answer fast help me i have thgis math problem
Answer:
[tex]x = 152[/tex]
because these angles are infront of each other
Answer:
x = 152
Step-by-step explanation:
x and 152° are vertical angles and are congruent , then
x = 152
50 pts , i need the correct answer, my patient is gone because so many ppl put fake answers, just give the right answer i dont have the energy to even say pls anymore.
Answer:
Hello! Sorry about your luck before although im 99% sure my answer is correct.
Answer: area is 180
Step-by-step explanation:
Ok so first starting off im going to calculate the area for each shape serperately and add them up since thats easier so as demonstrated in the picture the rectangle is 25 because i multiply by base × height and the base and height is 5 and 5 pointed in the picture so thats 25 although i didnt calculate the rest because the base and height is the same for each so we can just do 25 × 6 to get all the rectangles so 25 × 6 = 150 now we got the easy part out of the way now we should do the triangles I pointed to the base and height for that on the left the base being 5 and the height being 3 5 × 3 = 15 BUT WAIT this isn't are area for the triangles because when finding area for triangles we have to divide by 2 so... 15 ÷ 2 = 7.5 since there are 4 of those triangles I dont have to solve for the rest because i can just do 7.5 × 4 so...
7.5 × 4 = 30 now we just combine those areas together! so... 150 + 30 = 180 so 180 is our area HOPE THAT HELPS!
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!
Answer:
.3 feet
Step-by-step explanation:
3.8 - 3.5 = .3
Question 4 pls thanks, I will mark Brainliest
the second one.
Step-by-step explanation:
sjisidjdododpdpddod
Kevin open to saving account with $1400 that pays no interest he deposit additional $170 each week write a recursive formula to show how much money Kevin has in his account n weeks after opening the account
Answer:
Amount in account of Kevin after [tex]n[/tex] weeks is equal to [tex]\$(1400+170n)[/tex]
Step-by-step explanation:
Initial amount in the savings account [tex]=\$1400[/tex]
Amount deposited each week by Kevin [tex]=\$170[/tex]
Amount deposited by Kevin in [tex]n[/tex] weeks [tex]=\$170n[/tex]
Therefore,
Amount in account of Kevin after [tex]n[/tex] weeks [tex]=[/tex] Initial amount in the savings account [tex]+[/tex] Amount deposited by Kevin in [tex]n[/tex] weeks
[tex]=\$(1400+170n)[/tex]
In one weekend, 1,200 people attend a play at the theater downtown. A survey of 100 people who attended found that 45 gave the play at least 4 stars out of 5. Use the indicated method to estimate how many people in all would give the play at least 4 stars.
Answer:
540
Step-by-step explanation:
fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45
Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540
Please help!! >w< It will be really appreciated :D
Peter makes $4500 a month plus some money by commission rates. He gets 6% of everything he sells. If Peter sold $55000 worth of items this month, what did he make TOTAL for the month?
Answer:
13,666.7
Step-by-step explanation:
you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.
(NO LINKS OR else your be reported)
Pls help me if your good at math I’ll mark brainliest I
~couldn’t get the whole picture in:(~
A pair of parallel lines are translated.which of these could be the result?
Answer:
B
Step-by-step explanation:
What was his
percentage profit
Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text.
The question is incomplete. The complete question is :
Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle ......
Solution :
A triangle is defined as a close figure with three sides. It is polygon having three angles. If one of the angle is a right angle, then that triangle is known as a right angled triangle.
By Pythagoras theorem, the line opposite to the right angle is called as hypotenuse and it is the longest side in a right angled triangle.
Let a and b be the other sides and let c be the hypotenuse.
So by Pythagoras theorem, we get that [tex]$c^2=a^2+b^2 $[/tex]
From the question, a = 3 cm
b = 4 cm
c = 5 cm
Therefore,
[tex]$5^2=3^2+4^2$[/tex]
25 = 9 + 16
25 = 25
Thus the triangle is a right angled triangle.
math help quickly and pls no links lol
A trapezoid has a base of 12 inches and 50
inches. The height of the trapezoid is 21
inches. What is the area of the trapezoid?
Answer:
Step-by-step explanation:
Givens
b1 = 12
b2 = 50
h = 21
Area = ?
Equation
Area = (b1 + b2) * h / 2
Solution
Area = (12 + 50) * 21 / 2
Area = 62 * 21 / 2
Area = 31 * 21
Area = 651
complete the square for the equation 3x2 - 5x = 2
3
2
−
5
=
2
3x^{2}-5x=2
3x2−5x=2
Factor
1
Move terms to the left side
3
2
−
5
=
2
3x^{2}-5x=2
3x2−5x=2
3
2
−
5
−
2
=
0
3x^{2}-5x-2=0
3x2−5x−2=0
2
Use the sum-product pattern
3
2
−
5
−
2
=
0
3x^{2}{\color{#c92786}{-5x}}-2=0
3x2−5x−2=0
3
2
+
−
6
−
2
=
0
3x^{2}+{\color{#c92786}{x}}{\color{#c92786}{-6x}}-2=0
3x2+x−6x−2=0
3
Common factor from the two pairs
(
3
2
+
)
+
(
−
6
−
2
)
=
0
(3x^{2}+x)+(-6x-2)=0
(3x2+x)+(−6x−2)=0
(
3
+
1
)
−
2
(
3
+
1
)
=
0
Answer:
4/5
Step-by-step explanation:
See image below:)
Find the common difference of the arithmetic sequence -17, -15, -13, ..
Answer: 2
Hope this Helps!
The common difference of the given arithmetic sequence is 2.
The given arithmetic sequence is -17, -15, -13, .....
We need to find the common difference in the given arithmetic sequence.
What is the common difference in the arithmetic sequence?A common difference is a difference between consecutive numbers in an arithmetic sequence. To find it, simply subtract the first term from the second term, or the second from the third, or so on...
Now, common difference=-15-(-17)=-15+17=2
-13-(-15)=-13+15=2
Therefore, the common difference of the given arithmetic sequence is 2.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/12952623.
#SPJ2
Solve the following quadratic function
by utilizing the square root method.
y = 25x2 - 100
X = +[?]
Answer
25(x2−4)
Rewrite 4
as 22.25(x2−22)
What is the area of a rectangle which has a perimeter of 60 m and a width of 10 m?
Answer:
200
Step-by-step explanation:
please mark as brainliest if correct
thank you
Find the length of the third side. If necessary, round to the nearest tenth.2 5
Answer:
b= 4.6
Step-by-step explanation:
use the pythagorean theorem.
Answer:
4.6
Step-by-step explanation: