Answer:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
The rectangle has length 8 cm and area 48 cm2.
The perimeter of the square is the same as the perimeter of the rectangle.
Calculate the area of the square.
Step-by-step explanation:
Given,
length of rectangle(l)= 8cm
area of rectangle(A) = 48cm2
breadth of rectangle(b) = ?
Perimeter of rectangle (P)=?
We know ,
Area of rectangle(A) = l×b
or, 48cm2 = 8cm×b
or, 48cm2 = 8bcm
or, 48cm2/8cm = b
or, 6cm = b
or, b = 6cm
therefore, b = 6cm
Perimeter of rectangle (P) = 2(l+b)
= 2(8cm+6cm)
= 2×14cm
= 28cm
therefore, Perimeter of rectangle(P) = 28cm
Now,
According to the question,
Perimeter of rectangle(P) = Perimeter of square(P)
So,
Perimeter of square(P) = 28cm
length of square(l) = ?
Area of square (A) = ?
We know,
Perimeter of square (P) = 4l
or, 28cm = 4l
or, 28cm/4 = l
or, 7cm = l
or, l = 7cm
therefore, l = 7cm
Now,
Area of square (A) = l^2
= (7cm)^2
= 7cm×7cm
= 49cm^2
therefore, area of square (A)= 49cm^2
The area of the square based on the information is 49cm².
Since the rectangle has length 8 cm and area 48 cm², the width will be:
= 48/8 = 6cm.
Therefore, the perimeter will be:
= 2(l + w)
= 2(8 + 6)
= 28cm
Therefore, the length of the square will be:
= 28/4 = 7
Area of the square will be:
= 7cm × 7cm
= 49cm²
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best estimate for 7/8-6/11
Answer:
WE ARE GONNA DIE
Step-by-step explanation:
BECAUSE BIDEN IS THE PRESIDENT AND DONALD TRUMP IS NOT. >.< I DONT LIKE BIDEN!!!!
I need help with this, Its geometry
Answer:
Step-by-step explanation:
x + 17 + 6x + 10 + 4x - 34 = 180
11x + 27 - 34 = 180
11x - 7 = 180
11x = 187
x = 17
x + 17 = 17 + 17 =34
6(17)+10 = 102 + 10 = 112
4(17) - 34 = 68 - 34 = 34
Answer is D
I need an answer for x =
And y =
Answer:
x = − 2 , and y = 8
Step-by-step explanation:
Thirteen-year old Sammy Thompson bought old skateboards at anction for $350.
He fixed them and sold them for $50 each. WRITE an equation to find how many
skateboards Sammy bought to make a $6200 profit.
Answer:
124
Step-by-step explanation:
calculator blablabla
Dierections:Factor out the GCF from the following.Make sure your answer is factored completely by taking out any common numbers and or variables
Answer:
21
Step-by-step explanation:
your mom
1) Now, find the difference.
?
3
3
12
8
-1
12
?
What is the answer
Large chocolate bar has a base area of 48.96 square feet and its length is 0.6 foot shorter than twice its width. Find the length and width 
Answer:
Length=9.6
Width=5.1
Step-by-step explanation:
Step one:
given data
for the large chocolate
Area=48.96ft^2
let the width be x
w=xft
let the length be l
l=(2x-0.6)
Step two:
we know that area A=length * width
48.96=(2x-0.6)*x
48.96=2x^2-0.6x
2x^2-0.6x-48.96=0
divide through by 2 we have
x^2-0.3x-24.48=0
solving the quadratic equation, the roots are
x=5.1
x=-4.8-----not correct cannot be -ve
so x=5.1
the width is 5.1
the length = 2(5.1)-0.6
l=10.2-0.6
l=9.6
check Area= 9.6*5.1= 48.96
The length and the width of the bar are 6.7ft and 7.3ft respectively
The formula for calculating the volume of the chocolate bar is expressed as:
V = Base area * heightGiven the following parameters
Base area = 48.96 square feet B = length * width48.96 square feet = lwIf the length is 0.6 foot shorter than twice its width, hence;
l = w - 0.6
The expression becomes;
[tex]48.96 = w(w-0.6)\\48.96 = w^2 - 0.6w\\w^2 - 0.6w - 48.96 - 0[/tex]
On factorizing the result, w = 7.3ft
Recall that l = w - 0.6
l = 7.3 - 0.6
l = 6.7ft
Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.
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Two angles of a triangle measure 120 and 40°.
What is the measure of the third angle of the triangle?
A. 38°
B. 48°
C. 128°
D. 308°
PLS HELP
The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 14cup of sugar.
Answer: 0.357
Step-by-step explanation:
Here is the remainder of the question:
What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar?
We are going to solve this by using direct proportion,
y = kx
where,
x = number of cups of sugar = 14
y = number of cups of strawberries = 5
k = constant of proportionality
We slot the values into y = kx
y = kx
5 = 14k
k = 5/14
k = 0.357
The constant of proportionality is 0.357
which statements about the trend line in item 3 are true? select all that apply.
a. the slope is the cost of one book
b. the slope is the cost if Hana's lunch
c. the y-intercept is the cost of one book
d. the y-intercept is the most if Hana's lunch
Answer:
a and c
Step-by-step explanation:
what is the distance between points F(2,9) and G(-2,6)? Round to the nearest whole number.
Answer:
idk i need points
Step-by-step explanation:
Answer: Distance = 5
Step-by-step explanation:
I took the test yesterday and got it correct, I am reliable
How do I find the missing side?
Answer:
Step-by-step explanation:
as indicated by the red square, it is a right triangle. so you would a2 plus b2=c2. or in this case
11.9^2+b^2=14.7^2
141.61 + b^2 =216.09
b^2=74.48
b≈8.63
which is the solution to the inequality 2 3/5 b-8/15
Answer:
115b−120Step-by-step explanation:
Answer:
b>47/15 ... I think
At a sale this week, a sofa is being sold for $527. This is a 32% discount from the original price. What is the original price?
(-5 x 5x) - (-2 - 4)
Please help fast this has to be done by today can you also leave how you solved the problem thank you I will give points.
Answer:
B
Step-by-step explanation:
First find the perdendicular slope (flip and change sign) : m= -[tex]\frac{1}{4}[/tex]Then set up your equation using the given ordered paired to find your y-intersept: -1 = -[tex]\frac{1}{4}[/tex] (5) + bCaluclate the product: -1 = -[tex]\frac{5}{4}[/tex] + bMove the variable to the left-hand side and change its sign : -b - 1 = -[tex]\frac{5}{4}[/tex]Calculate the sum: -b = - [tex]\frac{1}{4}[/tex]Change the sign : b= [tex]\frac{1}{4}[/tex]Use the slope and y-intersept to creat the equation: y = -[tex]\frac{1}{4}[/tex]x + [tex]\frac{1}{4}[/tex]answer this just tell me the color
Answer:
yellow
Step-by-step explanation:
on a coordinate plane, line segment AB has a length of 12 units. AB is translated 5 units up, resulting in line segment A’B’. What is the length of A’B’?
Answer:
12 unitsStep-by-step explanation:
Given
Line segment AB = 12 unitsTranslation of AB → A'B' by the rule T(x +0, y+5)
This translation won't change the length of A'B' as the difference in (x2-x1) and (y2-y1) stays same because x-coordinate stays as is and y-coordinate's change cancelled when subtracting
So A'B' = 12 units
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $24.6, and the standard deviation is known to be $7.9. How large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.56? Round your answer up to the next integer.
Answer:
327
Step-by-step explanation:
Calculation for How large of a sample would be required in order to estimate the mean per capita income
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Zα/2* σ ) / E]^2
Let plug in the formula
n = (1.28*7.9/0.56)^2
n= 326.06
n=327 (Approximately)
Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327
Solve the problem. Show your work
Answer:
D correct
Step-by-step explanation:
what kinda math is this
math. we love it. we dont. i dont even know
Answer:
C
Step-by-step explanation:
It would equal -9
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+228x+71
Answer:
883.3
Step-by-step explanation:
thats all.
An equation is formed of two equal expressions. The maximum height reached by a rocket, to the nearest tenth of a foot is 883.3 feet.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the maximum height through which the rocket will reach, we need to differentiate the given function, therefore, we can write,
y=-16x²+228x+71
dy/dx = -16(2x)+228
Substitute the value of dy/dx as 0, to get the value of x,
0 = -32x + 228
228 = 32x
x =7.125
Substitute the value of x in the equation to get the maximum height,
y=-16x²+228x+71
y=-16(7.125²)+228(7.125)+71
y=883.3feet
Hence, the maximum height reached by the rocket, to the nearest tenth of a foot is 883.3 feet.
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4 x 7/8 Pls I need help my mom is yelling at me
Answer:
3.5
Step-by-step explanation:
Answer:
7/2 or 3 1/2
Step-by-step explanation:
4 * 7/8 = 4/1 * 7/8 = 28/8 = 7/2 = 3 1/2
Diyva has 70 rocks.she donates half of the rocks to a science center. then she collects 3 rocks on each of her nature hikes
Answer:
What are you asking here? This is more like a statement.
Step-by-step explanation:
Answer:
I'm just going to assume that your trying to figure out how many rocks she has left, in which case the answer would be 38.
convert each terminating decimal to a fraction in its simplest form. A. 0.4 B. 0.625
Answer:
A. 2/5
B. 5/8
Step-by-step explanation:
0.4 = 4/10 = 2/5
625/1,000 = 125/200 =25/40 = 5/8
Is this answer correct?
please i need this quick , it’s so confusing
what is the slope of the line passing through the points (0,-5) and (4,2)
Answer: 7/4.
Step-by-step explanation: To find the slope of a line, one must use the formula (y2-y1)/(x2-x1). In this case y2 is 2, y1 is -5, x2 is 4, and x1 is 0. We can plug this into the equation to get 7/4.