Answer:
dimensions are 51x91
Step-by-step explanation:
Assuming that the gym is rectangular in shape, then...
l*w=4641
and 2l+2w=284
We have two variables and two equations so to solve this we plug one equation into another.
Solve for one variable:
l*w=4641
w=4641/l
Plug into the other equation...
2l+2(4641/l)=284
Solve
l*(2l+9282/l)=284
2l^2+9282=284l
2l^2-284l+9282=0
Factor the trinomial:
2(l−51)(l−91)=0
l−51=0 or l−91=0(Set factors equal to 0)
l=51 or l=91
now, lets plug it into one of the equations to find w
51*w=4641
w=91, l=51
or...
91*w=4641
w=51, l=91
Answer:
91 ft × 51 ft
Step-by-step explanation:
while the other answer is basically correct, it makes a to at the beginning of the calculation (but the continues correctly).
and it assumes you can find the right factoring of the expression.
so, I will show you here how to generally solve this, even if you cannot find the right factorization :
l×w = 4,641 ft²
w = 4641/l
2l + 2w = 284
2l + 2(4641/l) = 284
2l + 9282/l = 284
2l² + 9282 = 284l
2l² - 284l + 9282 = 0
to make things easier let's divide everything by 2
l² - 142l + 4641 = 0
the general solution to a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = l
a = 1
b = -142
c = 4641
l = (142 ± sqrt((-142)² - 4×1×4641))/(2×1) =
= (142 ± sqrt(20,164 - 18,564))/2 =
= (142 ± sqrt(1600))/2 = (142 ± 40)/2 = 71 ± 20
l1 = 71 + 20 = 91
l2 = 71 - 20 = 51
w1 = 4641/91 = 51
w2 = 4641/51 = 91
so, they are interchangeable (it does not matter which we call length and which width).
the dimensions are 91 ft × 51 ft
can 133.97 be an answer to a cone with a radius of 4 inches and a height of 8 inches
Answer:
no
Step-by-step explanation:
the answer is 134.04
A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Enter your answer in the box.
cm³
+ Brainliest
A rectangular prism with a height of 6 centimeters would have a volume of 138 cubic centimeters.
Given the following data:
Base area = 23 [tex]cm^2[/tex]
Height = 6 centimeters.
The volume of a rectangular prism.Mathematically, the volume of a rectangular prism is given by this formula:
[tex]V = B \times H[/tex]
Where:
H is the height.B is the base area.Substituting the given parameters into the formula, we have;
[tex]V = 23 \times 6[/tex]
V = 138 cubic centimeters.
Read more on rectangular prism here: brainly.com/question/3867601
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
What is the midpoint of this interval? 50 < x ≤ 60
Add the two ends together and divide by 2:
50 + 60 = 110
110/2 = 55
The midpoint is 55
Answer:
55
Step-by-step explanation:
To find the midpoint, add the two endpoints and divide by 2
(50+60)/2
110/2
55
The midpoint is 55
Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
x2 – 3x + 27 = 6x + 7
A. 3
B. 6
C.-4
D. 5
E. 4
Answer:
4 and 5
Step-by-step explanation:
its right
Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?
Answer:
8 miles
Step-by-step explanation:
In an hour there is 60 minutes. 15 minutes x 4 = 60 minutes
So multiply 1 mile for 4 to get 4 miles
Matt would walk 4 miles in 1 hour
Mutiply 4 by 2 to get the distance Matt would walk in 2 hours which would be 8 miles.
Answer:
Matt would walk 8 miles in to hours.
Step-by-step explanation:
15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.
1 mile times 8 = 8 miles
Hope that helps!
(x^2-2x)(2x+3) is equivalent to expression
Answer:
[tex]( {x}^{2} - 2x)(2x + 3) \\ \\ ( {x}^{2} )(2x) + ( {x}^{2} )(3) + ( - 2x)(2x) + ( - 2x)(3) \\ \\ = 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} - 6x \\ \\ = 2 {x}^{3} - {x}^{2} - 6x[/tex]
Write the following expressions without using absolute value.
|y-x|, if y>x
Answer:
y-x
Step-by-step explanation:
as y>X so y-x is positive
hence the required expression is y-x
Chloe has 4 sundaes for her friends. She has 12 8/9 ounces of sprinkles to put equally on the sundaes. How many ounces of sprinkles will be on each sundae?
Answer:
3(2/9) ounces of sprinkles each sundae (3.222222.....)
Step-by-step explanation:
12 divided into 4 = 3 ounces
(8/9)/4 is the same as (8/9) x(1/4) = 8/36 = 2/9
3 ounces and 2/9 ounces
Each sundae will have 3 2/9 ounces of sprinkles on it.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
Chloe has 12 8/9 ounces of sprinkles and 4 sundaes, so she will put 12 8/9 / 4 = 3 2/9 ounces of sprinkles on each sundae.
To break this down, 12 8/9 can be simplified to 12 + 8/9 = 12 + 8/9 = 12 + 4/9 = 12 4/9.
When we divide 12 4/9 by 4, we get 3 2/9.
So each sundae will have 3 2/9 ounces of sprinkles on it.
Learn more about the fraction here:
brainly.com/question/10354322
#SPJ2
A plane travels a distance of 3,300 miles at a rate of 550 mph. How long will it take
the plane to reach its destination?
Answer:
6 hours
Step-by-step explanation:
Divide 3300 by 550, so it's 6.
What is the answer will rate you 5 stars
The format of the equation is in 'slope-intercept form'
--> y = mx + b
m: the slopeb: the value of the y-interceptIn this case, the line is missing its y-intercept
--> the y-intercept is where the x value of any coordinate is equal to '0'
--> in that case b = 5
Hope that helps!
Answer:5
Step-by-step explanation:
Plugging in (5) will solve all relations.
0 + (5) = 5
1+(5) = 6
2+(5) = 7
3+(5) = 8
4+(5) = 9
5+(5) = 10
6+(5) = 11
When you use a (___________________ ), the money you spend is deducted
A credit card
B debit card
C deposit
D credit score
Answer:
B Debit Card
Step-by-step explanation:
When you use a debit card money comes out of your checking account
Answer:
a credit card
Step-by-step explanation:
because I think it makes sense
Which of the following is involved in an informal argument for the formula for the circumference of a circle? (1 point)
Perimeter
Chord
Area
Circumference
The circumference of a circle is the same as the perimeter of the circle.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
The circumference of a circle is the same as the perimeter of the circle. It is given by:
Circumference = 2π × radius = π * diameter
Find out more on circle at: https://brainly.com/question/24375372
convert 0.001 * km ^ 3 into m ^ 3
Answer:
[tex]1,000,000 \: {m}^{3} [/tex]
Step-by-step explanation:
[tex]0.001 \: {km}^{3} \\ \\ = 0.001 \times {(1000)}^{3} \\ \\ = 0.001 \times 1,000,000,000 \\ \\ = 1,000,000 \: {m}^{3} [/tex]
Explain the advantages and disadvantages of a non-linear rate structure.
Please, help!
Answer:
advantage: it uses memory very efficiently than linear data structures
disadvantages: Non - linear data structures are quite hard to understand and implement than linear data structures
How is the sentence "9 less than x is –1" written as an equation?
Answer:
Must not have more than ONE "=" sign in an equation like this one.
9 is less than x is -1
I will take the liberty of deleting the first "is" and then write out the expression:
9 less than x is -1, or x-9 = -1
Add 9 to both sides to determine the value of x: x = 8 (answer)
Step-by-step explanation:
Answer: x-9=-1
(they deleted my answer 4 some reason : /)
Step-by-step explanation:
The depth in feet, D. of a scuba diver can be modeled by the function D(x) = -x + 12x + 4. where x is the number of seconds spent diving.
What is the number of seconds spent diving when the scuba diver reaches their maximum depth?
Respond in the space provided
Considering the vertex of the quadratic equation, it is found that the scuba diver reaches maximum depth after 6 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the depth is given by:
D(x) = -x² + 12x + 4.
Which means that the coefficients are a = -1, b = 12, c = 4, hence:
[tex]x_v = -\frac{b}{2a} = -\frac{12}{-2} = 6[/tex]
The scuba diver reaches maximum depth after 6 seconds.
More can be learned about the vertex of a quadratic equation https://brainly.com/question/24737967
The equivalent ratios are 6 : 3,
Answer:
2:1
Step-by-step explanation:
divide 6 by 3 to get 2 and divide 3 by 3 to get 1 making the awnser 2:1
Plan 1 costs $35 per month + $5 per gigabyte of extra data used
Plan 2 costs $50 per month + $2 per gigabyte of extra data used
The computation of the equation shows that the extra data that will be used to have the same amount will be 5 gigabytes.
How to compute equation?Let the amount of extra data used be represented by x.
Plan 1 = 35 + (5 × x) = 35 + 5x
Plan 2 = 50 + (2 × x) = 50 + 2x
35 + 5x = 50 + 2x
Collect like terms
5x - 2x = 50 - 35
3x = 15
x = 15/3 = 5
Learn more about equations on:
https://brainly.com/question/2972832
Answer it and you get points
Answer:
79 (first blank)
131 (second blank)
157 (last blank)
Step-by-step explanation:
92-13 to get the first blank, and you get 79.
118+13 to get the second blank, and you get 131.
144+13 to get the last blank and you get 157.
----------------------------------------------------------------------------------------------------------
Check your work:
79+13=92
92+13=105
105+13=118
118+13=131
131+13=144
144+13=157
----------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
Step-by-step explanation:
89 131 157 this is the answer
Natalie can hop 24 times in 8 minutes at a constant rate. How many times can she hop in 7 minutes?
Answer:
in 7 mins she can hop 21 times
Step-by-step explanation:
24 divided by 8 = 3
24-3=21
Answer:
Natalie can hop 21 times in 7 minutes
Step-by-step explanation:
To figure out how many times she can hop in 7 minutes you need to find the average hop each minute.
First, you write 24/8. You simply that to 3/1.
So Natalie can jump 3 times in 1 minute.
If you want 7 minutes, you multiply 1 by 7, and 3 by 7, which gets you 21 hops for 7 minutes.
-I hope this helps!
Ravi buys some hats to sell at a school fete. He buys 56 hats for a total £120
Ravi sells 3/7 of these hats at £3.50 each.
He reduces the selling price of the remaining hats to £3 each.
He sells half of the remaining hats at this selling price.
Work out the profit Ravi makes.
Answer:
$12
Step-by-step explanation:
3/7 of 56 = 24 hats
24 x $3.5 = $84
The remaining hats 56-24 =32 hats
HALF of 32 =16hats
16x$3 =$48
$84 + $48 = $132
But he spent $120
The profit Ravi made = 132-120 = $12
Josiaanswer this is it josia the question
Answer:
6? i am soooo confused
Step-by-step explanation:
Find the area of each kite. write your answer as an integer or a simplified radical
The area of the kite is the amount of space it occupies
The area of the assumed kite is 25 square units
How to determine the area of the kite?The question is incomplete, as the dimensions of the kites are not given.
So, I will provide a general explanation
The area of a kite is:
Area = 0.5pq
Where p and q are the lengths of the diagonals of the kite.
Assume that p = 5 and q = 10, for a kite.
The equation becomes
Area = 0.5 * 5 * 10
Evaluate
Area = 25
Hence, the area of the assumed kite is 25 square units
Read more about areas at:
https://brainly.com/question/24487155
Three boys, Adam, Kyle, and Ty, and two girls, Anne and Kate, have volunteered to help plan the school dance. One student will be randomly selected to plan and host the event, while another will be randomly selected to manage all the scheduled activities. The remaining volunteers will help decorate the gym for the dance. What is the probability that a girl will host the event and Anne will manage the event?
Answer:
2:4
Step-by-step explanation: Subtract 1 from total amount then find the number of girls I think sorry
y+2x=2 find the slope of every line perpendicular to the graph of the equation
Answer:
[tex]m_{perpendicular}[/tex] = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
y + 2x = 2 ( subtract 2x from both sides )
y = - 2x + 2 ← in slope- intercept form
with slope m = - 2
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
solve pls brainliest
Answer:
Step-by-step explanation:
1 1/2 x 4 1/2
2x1=2 2+1=3
3/2
2x4=8 8+1=9
9/2
3/2 x 9/2=
3x9=45
2x2=4
45/4
what is 12x + 11y - 4x -5y
Answer:
8x+6y
Step-by-step explanation:
Combine like terms:
12x-4x=8x
+11y-5y=6y (because 11 is the bigger number and 5 is smaller, the answer is positive [+])
Answer:
8x + 6y
Step-by-step explanation:
1) Rearrange terms and combine like terms:
12x + 11y - 4x - 5y —> 12x - 4x +11y - 5y
2.Simplify (aka add/subtract like terms)
12x - 4x +11y - 5y
- 12x - 4x = 8x
- 11y - 5y = 6y
= 8x + 6y
Hence, 8x + 6y is your answer :)
Which graph represents the function y-3 =3/2 (x-4)?
Answer:
Below.
Step-by-step explanation:
You haven't sent the graphs.
y - 3 = 3/2(x - 4)
y - 3 = 3/2x - 6
y = 3/2x - 3
- this is the slope intercept form of the graph.
It will be a straight line which rises to the right and passes through the y axis where y = -3. Also it has a slope of 3/2.
Wne y = 0 x = 2 so it passes through the x-axis at x = 2.
Answer:
The correct representation to the given function is graph A
HELLP HURRY I WILL GIVE BRAINLIEST
Use the graph.
Answer:
A
Step-by-step explanation:
From inspection of the graph:
a = 3 unitsb = 6 unitsc = 2 unitsd = 4 units[tex]\dfrac{a}{b}=\dfrac36=\dfrac12[/tex]
[tex]\dfrac{c}{d}=\dfrac24=\dfrac12[/tex]
[tex]\dfrac{d}{c}=\dfrac42=2[/tex]
[tex]ab=3 \cdot 6 = 18[/tex]
[tex]cd=2 \cdot 4 = 8[/tex]
[tex]a+b=3+6=9[/tex]
[tex]c+d=2+4=6[/tex]
Therefore, the only expressions that are equal are:
[tex]\implies \dfrac{a}{b}=\dfrac{c}{d}[/tex]