Answer:
[tex]area \: of \: a \: squre = {a}^{2} \\ {a}^{2} = 176 \\ a = 13.26m \\ perimeter = 4a = 4 \times 13.26 = 53.04m^2 \\ thank \: you[/tex]
Answer:
Length = 42 mPerimeter = 168 mConcept:
Here, we need to know how to find the area and perimeter of the square.
Area (square) = s²
s = side lengthPerimeter (square) = 4s
s = side lengthSolve:
PART I: Find the lengthGiven information
Area = 1764 m²
Given formula
A = s²
Substitute values into the formula
1764 = s²
Square root both sides
√s² = √1764
[tex]\boxed{s=42m}[/tex]
--------------------------------------------------------------------------------------------------------
PART II: Find the perimeterGiven information
s = 42 m
Given formula
P = 4s
Substitute values into the formula
P = 4 (42)
Simplify by multiplication
[tex]\boxed{P=168m}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
find the third proportional of 3 5 7
Answer: Third proportion is 21/5.
Step-by-step explanation:
Let the proportion be x
so,
3:5:x:7
so
3:5 = x:7
or, 3/5 = x/7
or, 21 = 5x
or, x = 21/5
ef is the median of trapezoid abcd (please explain the answer im so confused lol)
Step-by-step explanation:
Okay, so...
The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.
In other words,
EF = ( BC + AD ) / 2
So for part 1, we can use that equation to find x.
[tex]EF = ( BC + AD ) / 2[/tex]
Insert known equations.[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]
Simplify within parentheses.[tex]4x-18=[x+12+3x-4]/2[/tex]
[tex]4x-18=[x+3x+12-4]/2[/tex]
Add.[tex]4x-18=[4x+8]/2[/tex]
Divide.[tex]4x-18=2x+4[/tex]
Simplify.[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]
[tex]2x=22[/tex]
Divide both sides by 2.[tex]x=11[/tex]
Part 2 is a lot easier now. All we have to do is plug in 11 for x.
[tex]BC =x+12[/tex]
[tex]BC = 11+12[/tex]
[tex]BC = 23[/tex]
-
[tex]AD = 4x-18[/tex]
[tex]AD = 4(11)-18[/tex]
[tex]AD = 44-18[/tex]
[tex]AD = 26[/tex]
-
[tex]EF = 3x-4[/tex]
[tex]EF = 3(11)-4[/tex]
[tex]EF = 33-4[/tex]
[tex]EF = 29[/tex]
Answer:
Part I: x = 11
Part II:
BC = 23AD = 26EF = 29
The diameter of a cylinder is 4 m. If the height is triple the radius, which is the closest to the
?volume of the cylinder
75.40 m3 o
251.33 m3 o
100.53 m3 o
613.19 m3 o
WILL MARK BRAINLIEST OR WHATEVER NEEDED ASAP
Answer:
A. 75.40 m³
Step-by-step explanation:
Diameter of cylinder (d) = 4 m
Radius (r) = ½(d) = ½(4) = 2 m
Height (h) = 3 × r = 3 × 2 = 6 m
Volume of cylinder = πr²h
Substitute the values
Volume of cylinder = π*2²*6
Volume of cylinder = π*4*6
Volume = π*24
Volume = 75.40 m³
Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1
Answer:
2x²+3x-6
Step-by-step explanation:
f(x)+g(x)
= x²+6x-5+x²-3x-1
=2x²+3x-6
find a number which is when added to it's square the sum will be 72.
Answer 8
8+8²=72
8+64=72
72=72
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Find two numbers whose sum is sixty eight and whose difference is twenty two
Answer:
45 and 23
Step-by-step explanation:
Let x equal the first number and y equal the second number.
We can set the following equations up with our information:
[tex]x+y=68[/tex]
[tex]x-y=22[/tex]
Adding the two equations together, we get:
[tex]2x=90[/tex]
Dividing by two, we receive [tex]x=45[/tex]
We can plug this into our first equation to get [tex]45+y=68[/tex].
Subtracting 45 from both sides, we get [tex]y=23[/tex].
The two numbers are 45 and 23, solved using system of equations.
What is a system of equations?A system of equations is a set of equations, involving similar variables used to solve for the variables simultaneously.
How to solve the question?In the question, we are asked to find the two numbers, whose sum is 68 and the difference is 22.
We assume the two numbers to be x and y.
The sum of the two numbers is given to be 68.
This can be shown as an equation, x + y = 68 ... (i).
The difference of the two numbers is given to be 22.
This can be shown as an equation, x - y = 22 ... (ii).
Equations (i) and (ii) together makes a system of equation in the variables x and y.
To solve for the system of equation, we add (i) and (ii), to get:
x + y = 68
x - y = 22
_________
2x = 90,
or, x = 45.
Substituting x = 45 in (i), we get:
x + y = 68,
or, 45 + y = 68,
or, y = 23.
Thus, the two numbers are 45 and 23, solved using system of equations.
Learn more about system of equations at
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Deandre can run 5 miles in 30 minutes.
How many minutes per mile is that?
6 minutes per mile.
As in, 30/5= 6
Answer:
Deandre can run 1 mile in 6 min
Step-by-step explanation:
simplify the radical expressions pleaseeeeee help I haven’t done algebra in 2 years
Rewrite this equation in the form y = ax + b.
2y = 4x - 8
Enter the correct answer.
OOÐ
DONE
Clear all
ĐOO
?
Answer:
y = 2x -4
Step-by-step explanation:
2y = 4x - 8
Divide each side by 2
2y/2 = 4x/2 - 8/2
y = 2x -4
b) The area of 4-walls and ceiling of a room is 118 m². If the room is 6 m long and 4 m high, find the breadth of the room.
Step-by-step explanation:
you can check the answer by putting 5 on the place of B... you will get the lateral surface area
118 m²...
hope it helps
A rectangle has a length of 8ft and a width of 9ft. What is the area of the rectangle, in ft^2?
Answer:
72ft
Step-by-step explanation:
A=wl=9·8=72ft²
who can help me out with this one?
Answer:
(x + 1)² + (y - 2)² = 9
Step-by-step explanation:
Equation of the circle with center (h, k):
(x - h)² + (y -k)² = r² where r is radius
Center(-1 , 2) ; r =3
(x - [-1])² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
Find the circumference of this circle
using 3 for TT.
C ~ [?]
24
C = id
Answer:
72
Step-by-step explanation:
The diameter is 24
pi is approximated by 3
The circumference is given by
C = pi *d
= 3 * 24
= 72
The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
Answer:
Perimeter, P = 112 meters
Step-by-step explanation:
Let the length of the rectangle be L.Let the width of the rectangle be W.Translating the word problem into an algebraic expression, we have;
L = 6W ...... equation 1
Given the following data;
Area of rectangle = 384 m²To find the perimeter of the rectangle;
First of all, we would determine the dimensions of the rectangle using its area.
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = LW ..... equation 2
Substituting eqn 1 into eqn 2, we have;
384 = 6W(W)
384 = 6W²
Dividing both sides by 6, we have;
W² = 384/6
W² = 64
Taking the square root of both sides, we have;
W = √64
Width, W = 8 meters
Next, we would find the length;
L = 6W
L = 6 * 8
Length, L = 48 meters
Lastly, we would determine the perimeter of the rectangle using the above dimensions;
Mathematically, the perimeter of a rectangle is given by the formula;
Perimeter = 2(L + W)
Substituting the values into the formula, we have;
Perimeter, P = 2(48 + 8)
Perimeter, P = 2(56)
Perimeter, P = 112 meters
1)An average American human lives about 78.74 years. A survey gave an average time spent going to the bathroom to be 102 minutes per week. If there are 52 weeks in a year, 7 days in a week and 1 day is 24 hours, then how many minutes do Americans spend on the toilet in their life time?
2)How many minutes have you spent on going to the bathroom if you are at the age of 16?
can i get some help please
Answer:
28.26
Step-by-step explanation:
We want to find the area of the circle shown.
We can calculate the area of a circle using the formula A = πr²
where r = radius
The circle shown has a given diameter of 6
We want the radius.
To convert diameter to radius simply divide the measure of the radius by 2
So radius = 6 / 2 = 3
Now to find the area we simply plug in the value of the radius into the area of a circle formula
Area of a circle: A = πr²
r = 3
( Note that the question says to use 3.14 for π )
So π = 3.14
* Substitute values *
A = (3.14)(3)²
3² = 9
(3.14)(9) = 28.26
A = 28.26
And we are done!
Need help ASAP plz
Answer:
C) postulate
An axiom or a postulate is an accepted statement of fact.
OAmalOHopeO
Answer:
Im pretty sure its definition
a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
[tex]\tau_{man}>\tau_{box}[/tex] and
[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
Given A(-4,8), D(-7,4), and H(-3,1), plot the points, and
trace the triangle.
Answer:
See attached
Step-by-step explanation:
The points are plotted and connected to make a triangle
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(-4,8){\circle*{0.3}}\put(-7,4){\circle*{0.3}}\put(-3,1){\circle*{0.3}}\qbezier(-4,8)(-4,8)(-3,1)\qbezier(-4,8)(-4,8)(-7,4)\qbezier(-7,4)(-7,4)(-3,1)\end{picture}[/tex]
Find the perimeter of the square. Be sure to write the correct unit in your answer.
21 yd
Perimeter is the distance around the outside.
A square has 4 equal sides:
Perimeter = 21 x 4 = 84 yards
Answer: Perimeter = 84 yd
Explanation:
Perimeter of square = 4 × side
Side = 21 yd
Perimeter = 4 × 21
= 84 yd
Must click thanks and mark brainliest
A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
200 employees.
What is the best way to randomly choose these 200 employees?
Answer: Use employee identification numbers to randomly select 200 employees
Step-by-step explanation:
Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.
From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.
Which polygon has an interior angle sum of 1080°?
Answer:
its octagon. first and last one it has total 8 sides
E
Homework: 1-7 HW
Simplify the expression.
8(5+t) - 2(t+1)
8(5 + t) - 2(t+1)=
Hi, I'm happy to help!
To simplify this expression, we need to first use the order of operations (Parenthesis, Exponents, Multiplication or Division (Left to Right), and Addition or Subtraction (Left to Right)), then combine like terms. (80,40,57, or 6t, 8t, 98t, or 2t²,7t²,83t²)
When a number is next to parenthesis with no sign, it means we are using multiplication. We can change this expression to look like this, by changing all the numbers next to the parenthesis with no sign, to one with a multiplication sign.
8(5+t) - 2(t+1) 8(5 + t) - 2(t+1)=
8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
We start with parenthesis and solve everything inside of those, but, because everything inside the parenthesis are unlike terms, we cannot combine them.
Next, We look for any exponents (x²). There are none in this equation.
We then look for multiplication or division. There is a lot of multiplication, so we start solving that from left to right.
8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=
(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
Now, before we do anything else, we need to recheck the parenthesis, now that they have changed. We can further simplify the middle parenthesis by adding together like terms.
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
(40+8t) - ((80t+16t)+16t²+80) - (2t+2)=
(40+8t) - (96t+16t²+80) - (2t+2)=
(40+8t) - (96t+16t²+80) - (2t+2)=
Now, we look for addition or subtraction of like terms. We can now remove the parenthesis, since everything inside of the last two parenthesis is negative, we turn it negative, as long as we only combine the like terms.
40+8t - 96t-16t²-80 - 2t-2=
Once we find like terms, we can rearrange the expression.
(40-80-2)+8t - 96t+16t² - 2t
(-42)+8t - 96t-16t² - 2t
(-42)+8t - 96t-16t² - 2t
(-42)+(8t-96t-2t)-16t²
(-42)+(-90t)-16t²
(-42)+(-90t)-16t²
This doesn't have any like terms, so we don't alter it.
(122)+(-90t)-16t²
We can now remove the parenthesis.
122-90t-16t²
Since there are no more like terms this is the furthest we can simplify. We can then rearrange the expression to be arranged completely correct.
-16t²-90t-42
I hope this was helpful, keep learning! :D
(4y¹²) (3y)
Please help me
1) Let f be the function defined by the
graph shown at right, with y = f(x).
a) What is the value of f(-9)?
-14-13-12-)1-10-9
10 11 12
b) How many solutions are there to
the equation f(x) = -2? (Just
state how many there are.)
c) State any and all intervals on which fis decreasing
d State any and all values of x for which fax>0. Ilse intervals to do this
Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?
Answer:
[tex]x * (x - 2) = 143[/tex]
Where [tex]x = 13[/tex]
Step-by-step explanation:
Given
[tex]x (x - \_) = 143[/tex]
Required
Complete the blank
The complete question implies that the product include 2 consecutive odd numbers.
Two numbers whose products equal 143 are: 11 and 13
i.e. [tex]11 * 13 = 143[/tex]
So, we have:
[tex]x * (x - \_) = 13 * 11[/tex]
By comparison, we have:
[tex]x = 13[/tex]
[tex]x - \_ = 11[/tex]
Collect like terms
[tex]\_ = x - 11[/tex]
Substitute 13 for x
[tex]\_ = 13 - 11[/tex]
[tex]\_ = 2[/tex]
So, the complete equation is:
[tex]x * (x - 2) = 143[/tex]
Where [tex]x = 13[/tex]
Answer:
2
and
13
Step-by-step explanation:
Got it right on edge.
Use inductive reasoning to predict the next three numbers in the pattern.
9 ,3 ,1 ,1/3, 1/9
Predict the next three numbers in the pattern.
Answer:
the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243
Step-by-step explanation:
to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer
We have that The Next 3 patterns are
1/27,1/81,1/243
From the Question we are told that
Pattern. 9 ,3 ,1 ,1/3, 1/9
Generally
Using in inductive reasoning the pattern progresses as a function of dividing by 3
Therefore
The next three number are
[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]
[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]
[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]
Therefore
The Next 3 Numbers are
1/27,1/81,1/243
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100 points for you if you help me
Answer:
see below
Step-by-step explanation:
It is given that m<A +m<B = m<B + m<C. We can subtract angle B from each side using the subtraction property of equality. That leaves m<A = m<C We can use the symmetric property so that m<C = m<A
Answer:
[tex]thank \: you[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A vegetable tray contains 10 red peppers and 4 green peppers. What is the ratio of the number of green peppers to the number of yellow peppers?
A. 4:0
B. 2:5
C. 2:7
D. 4:10
Answer:
4 : 0
Step-by-step explanation:
10 red and 4 green
There are 0 yellow peppers
green: yellow
4 : 0
write an inequality and show on a number line all numbers greater (-3) but less than equal to3
Answer:
-3<x<_3
You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.
Step-by-step explanation: