The dimension of the shape is approximately 1.45 meters by 0.55 meters
Assume the shape is a rectangle, that has the following dimensions.
Length = x
Width = y
So, the area is:
Area = xy
The perimeter is
Perimeter = 2(x + y)
Substitute known values
[tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{2(x+y) = 400cm}[/tex]
Express cm as m
[tex]\mathbf{2(x+y) = 4m}[/tex]
Divide through by 2
[tex]\mathbf{x+y = 2m}[/tex]
Make x the subject (ignore the units)
[tex]\mathbf{x= 2 - y}[/tex]
Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{(2-y)y = 0.8}[/tex]
Open brackets
[tex]\mathbf{2y-y^2 = 0.8}[/tex]
Rewrite as:
[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{y \approx (0.55,1.45)}[/tex]
Recall that:
[tex]\mathbf{x= 2 - y}[/tex]
So, we have:
[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]
[tex]\mathbf{x \approx (1.45,0.55)}[/tex]
Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters
Read more about areas and perimeters at:
https://brainly.com/question/11957651
1/2(12w+8)-1/8(10w-5) This confuses me very much pls help
Answer:
3 8 + 3 7 divided by 8
Step-by-step explanation:
The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
What fraction of his money did he spend on drink?
Give your answer in its simplest form.
Answer:
£114
Step-by-step explanation:
Rate brainliest please
[tex] \frac{57}{360} \times 720 = 114[/tex]
Find the value of X in the following 3x+4=25
The answer is 7
Step-by-step explanation:
subtract 4 from 25 which is 21 than divide by 3 getting x =7
Answer:
x=7
Step-by-step explanation:
3x+4=25
3x=25–4
3x=21
X=21÷3
X=7
Suppose a candy bar weighs ounces. How much does a pack of bars weigh?
Answer: it ways ounces?????????????
Step-by-step explanation:
hidden valley motel 32 feet long
85% of 540 = 30% of C
Answer:
C = 1530
Step-by-step explanation:
85% of 540 = 30% of C
0.85 * 540 = 0.3 * C
459/0.3 = 0.3C/0.3
C = 1530
Answer:
c = 1530
Step-by-step explanation:
First, convert the percentages to a decimal.
[tex]85\div100=0.85\\30\div100=0.30[/tex]
In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.
With that, you can write this equation:
[tex]0.85\times540=0.3\times c[/tex]
Now, just solve for c:
[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]
To confirm that:
[tex]0.85\times540=0.30*1530\\459=459[/tex]
Which expression is equivalent to the following complex fraction?
1
1
2
o
x-1
2x
架
0
2
2x-2
O
X
0
2x
X-1
Answer:(1-(1/x))/2
Step-by-step explanation:
(1-(1/x))/2
We can multiply both sides by x:
Top: x(1-(1/x)) = (x - 1)
Bottom: 2x
(1-(1/x))/2
Guided Practice
Write the equation of the parabola in vertex form. The vertex is (−3, 3) and the parabola passes through the point (4, 150). Create a rough sketch of the graph to use as a visual aid.
A.
y = 3(x + 3)^2 + 3
B.
y = 4(x − 3)^2 + 3
C.
y = 50(x + 3)^2 + 4
D.
y = 3(x − 3)^2 + 3
Answer:
A.
y = 3(x + 3)^2 + 3
Step-by-step explanation:
The vertex form of the equation is y=a(x-h)2 + k
You know that the vertex (h,k) is (-3,3) and a point on the parabola is (4,150). So what you’re needed ing to find is a bc all of the other letters can be replaced into the equation.
First I would put the equation into vertex form using the vertex given in the problem. : y= (x - (-3))2 + (3). Then I would use the ordered pair (4,150) and replace the x and y with those values
150 = a(4 + 3)2 + 3
Now simplify
150 = a (7)2 + 3
150 = 49a + 3 Important: please be sure to square.
147 = 49a
3= a
Next replace a into the formula now leaving x and y alone.
y = 3 (x+3)2 + 3 [Vertex form]
I hope this helps. Have a great day!
Answer:
A. [tex]y = 3(x + 3)^2 +3[/tex]
Step-by-step explanation:
The vertex form is:
[tex]y = a(x - h)^2 + k[/tex]
Where [tex]a[/tex] is the variable that determinate if the parabola is facing up or facing down and [tex]h[/tex] is the [tex]x[/tex] coordinate of the vertex and [tex]k[/tex] is the [tex]y[/tex] coordinate of the vertex.
So with the given values we have:
[tex]150 = a(4 + 3)^2 + 3[/tex]
Then isolate [tex]a[/tex] for find the missing value.
[tex]147 = a49\\\frac{147}{49} = a\\3 = a[/tex]
Then the final answer is [tex]y = 3(x + 3)^2 +3[/tex]
Which of the following expresses (2.4 on going) as a fraction in simplest form?
2 and 1/4th
2 and 2/5ths
2 and 11/25ths
2 and 4/9ths
Answer:
2 and 4/9ths
Step-by-step explanation:
2 ⁴/9 is equal to 2.4 constant
A population of values has a normal distribution with μ=5.5 and σ=94.4. You intend to draw a random sample of size n=101.
Find P10, which is the score separating the bottom 10% scores from the top 90% scores. P10 (for single values)
Find P10, which is the mean separating the bottom 10% means from the top 90% means.
P10 (for sample means)
Answer:
P10 = P₁₀ = -115.5
Step-by-step explanation:
Shown in the picture
does the equation have roots? if yes, find them.
x^2=32
Answer:
[tex]x=\pm 4\sqrt2[/tex]
Step-by-step explanation:
Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)
Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)
[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]
Can somebody please help me and tell me how did you get the answer please thank you!!!
Answer:
10
Step-by-step explanation:
(6x-5)+(12x+5)=180
18x=180
x=10
Leaks can write a 500 word essay in an hour. If she writes an essay in 10 minutes, about how many words do you think the essay contains. PLEASE TELL ME HOW TOU DID IT! WILL MARK BRAINLIEST
Answer:
83.3
Step-by-step explanation:
Alright so
She can write 500 words per hour
An hour is 60 minutes
500 divided by 6 (because 6x10= 60)
so you get est. 83 words per 10 mins.
To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)
simplify 2 by 3 multiply by 2 plus 3 1 by 3
Step-by-step explanation:
[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]
[tex] \\ = \frac{4 + 10}{3} [/tex]
[tex] \\ = \frac{14}{3} [/tex]
[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]
Find the equation of the linear function represented by the table below in slope-intercept form.
x 0 1 2 3 4
y -8 0 8 16 24
Answer:
y = 8x - 8
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table
m = [tex]\frac{8-(-8)}{2-0}[/tex] = [tex]\frac{8+8}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8
The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8
y = 8x - 8
HELP pleaseeeeeeeeee
Answer:
Or is separate
And is together
Can someone pls help me with this
Answer:
were is the qn?
Step-by-step explanation:
Which of the following forms a Pythagorean triplet?
a)3, 4, 6 b) 5, 12, 13 c) 6, 7, 14 d) 8, 6, 16
(hey kid can you answer fast)
NO USELESS THINGS OR WRONG ANSWERS FOR I WILL REPORT YOU.
Answer:
b)
Step-by-step explanation:
i hope this help you
What is the slope of this equation and Y intercept.
Y= 3/5x + 6
Answer:
the y-intercept is 6 the slope is 3 / 5
Step-by-step explanation:
slope-6
y-intercept-3/5
Answer:
M = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Use the slope-intercept form y = mx + b to find the slope m.
.
Solve the system by substitution
y=-8x -24
y=-4x
Answer: 8
Step-by-step explanation:
plug y into the first equation:
8x+5y=24
8x+5(-4x)=24
8x-20x=24
-12x=24
x=-24/12
x=-2
then plug x to the second equation
y=-4
y=-4(-2)
y=8
x=-2
y=8
Answer:
(- 6, 24 )
Step-by-step explanation:
y = - 8x - 24 → (1)
y = - 4x → (2)
Substitute y = - 4x into (1)
- 4x = - 8x - 24 ( add 8x to both sides )
4x = - 24 ( divide both sides by 4 )
x = - 6
Substitute x = - 6 into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 4(- 6) = 24
solution is (- 6, 24 )
the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction
Answer:
Side length = 4.80 cm
Step-by-step explanation:
Given the perimeter of an equilateral triangle, 14.4 cm:
An equilateral triangle has three congruent sides.
Since a triangle has three sides, and the sum of those sides represent the perimeter. We can assume that each side of the triangle represents a third (⅓) of the perimeter.Perimeter of an equilateral triangle = side + side + side = 3(side)
Perimeter = 14.4 cm
[tex]\displaystyle\mathsf{side=\frac{14.4\:cm}{3}=4.80\:cm}[/tex]
Therefore, the length of each side of an equilateral triangle is: 4.80 cm.
write 28 + 24 as a product of two factors using the greatest common factor and the distributive property
Answer:
4 * 13
Step-by-step explanation:
Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.
Could anyone help? I’ve watched the videos but they’ve confused me even more
Answer:
for a) you have to draw the graph of y = x - 1 for values from 0 to 7 so you need to make the table in the picture:(see the attached picture) now draw it using the coordinates from the table
but for b) I don't know I tried something but it didn't work.
Which equation can be used to determine the number of hourse, h hector works given the number of weeks w?
A. h = 20w
B. W=20h
C. H=2102
D.w=210h
help pleasee
[tex] \: \: \: \: \: [/tex]
A. h = 20wh=20win one week hector works 20 hoursin two hector works 40 etch = hours and w = weeks. the money is just extra information.h=20w works because if ithope it helps[tex] \: \: \: \: \: [/tex]
the total of this is 297197401415÷842035
Answer:
Approximately 352,951.36
Answer:
Step-by-step explanation:
= 297197401415+842035
= 297198243450
=297197401415/842035
=352951.363
How to solve this question? :)
Answer:
I think it's 20 i don't know man
Please help me with this MATH question.
Answer:
g= -2
Step-by-step explanation:
Answer:
- 2
Step-by-step explanation:
1. open the parentheses: 3(5-g)= 15-3g= 21
2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)
15- 3g= 21 = -3g= 21- 15
-3g= 6
3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.
Hence, g= -2
Hope this helps!
let me know if t does and if the answer is right.
-7x+6y=34 7x+4y=-24 helppp
Answer:
x=–4, y=1
Step-by-step explanation:
adding the 2 equations, we see the X's go away and we are left with: 10y=10. we can simplify and solve for y by dividing both sides by 10 and we are left with y=1
plugging 'y=1' into the fist equation we get: -7x+6=34. we can now solve for x by subtracting 6 from both sides and dividing both side by –7, so we are left with: x=–4
we can check by plugging both x and y into one of the original equations:
-7(-4)+6(1)=34
28+6=34
34=34✓
For the sequence −9, −3, 3, 9, 15, ... write the recursive formula. a(1) = __, a(n) = a(n-1) + d *
Answer:
the answer to the question is online if you
I need to know the answer to this question
LIE
TRUTH
TRUTH
THE DETAILED ANSWER IS IN THE IMAGE ATTACHED.
HOPE IT HELPS YOU......
PLEASE MARK AS BRAINLLIEST!!!