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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You are running a fuel economy study. One of the cars You find is blue a can travel 41 1/2 miles on 1 1/4 gallon of gasoline another car is red a can travel 28/45 miles on 4/5 gallon of gasoline what is the unit rate of miles per gallon for each car which car can travel with a greater distance on 1 gallon of gasoline
Answer:
Step-by-step explanation:
hi !
https://brainly.com/question/5121239
check this someone already asked the question
:)
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]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
(-5 x 5x) - (-2 - 4)
A rectangular garden has an area of 35 square miles. If its length is 78 miles, what is its width?
Input your answer as a fraction.
Answer:
9/20 mi
Step-by-step explanation:
A= b*hFill in the Values35 = 78 * h
3. divide 35 by 78 = 0.44871794871
4. round that to .45
5. To make a fraction, put it over 100
45/100
7. Simplify fraction
9/20
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
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
math. we love it. we dont. i dont even know
Answer:
C
Step-by-step explanation:
It would equal -9
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!!!!
please i need this quick , it’s so confusing
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
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
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
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?
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
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.
1) Now, find the difference.
?
3
3
12
8
-1
12
?
What is the answer
CAN U PLS HELP
Determine the slope of the function as a unit rate for the linear situation.
{(3,-15),(59,-71),(-5,-7),(19,-31)
Answer:
Step-by-step explanation:
Given the algebraic equation of a line, we are able to graph it in a number of ways. In this section, we will be given a geometric description of a line and be asked to find the algebraic equation. Finding the equation of a line can be accomplished in a number of ways, the first of which makes use of slope-intercept form,
y
=
m
x
+
b
. If we know the slope, m, and the y-intercept, (0, b), we can construct the equation.
Example 1: Find the equation of a line with slope
m
=
−
5
8
and y-intercept (0, 1).
Solution: The given y-intercept implies that
b
=
1
. Substitute the slope m and the y-value of the y-intercept b into the equation
y
=
m
x
+
b
.
Answer:
y
=
−
5
8
x
+
1
Estimate:
37 is 60% of what number?
22
B
6
60
2,220
Answer:
60
Step-by-step explanation:
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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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
Write a function that gives the remaining amount of containments in kilograms, C(t), t hours after Nana started purifying the water
Answer:
[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]
Step-by-step explanation:
Original Question:
Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.Explanation:
Each hour, the water purifier filters 1/3 of the contaminants, meaning that the contaminant reduces by 2/3. If the contaminant was 1kg (for example), the mass would be 2/3 kg after 1 hour- after 2 hours, it'll be 4/9 kg, so we see a pattern. We need to multiply the contaminant by 2/3 every single hour.[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]Yesterday, the temperature in a city dropped from 9°C to –9°C, as shown below.
The expression 9 + (–18) represents the final temperature. Which of the following is an equivalent way to describe this temperature?
|–18| degrees in a negative direction from 9 degrees
|–18| degrees in a positive direction from 9 degrees
|–9| degrees in a negative direction from 9 degrees
|–9| degrees in a positive direction from 9 degrees
Answer:
I belive the correct answer might be (A)
Solve the problem. Show your work
Answer:
D correct
Step-by-step explanation:
Which set of numbers does NOT describe the side
lengths of a right triangle?
a. 3, 4, 5
b. 5, 12, 13
c. 6, 14, 17
d. 7, 24, 25
4
Answer:
The answer is C
Step-by-step explanation:
You have to do the Pythagorean Theorem.
A. you get 25=25
B. you get 169=169
C. you get 232=289
D. you get 625=625
WILL GIVE BRAINLIEST
On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip?
8 to 24
3 to 4
1 to 4
32 to 24
Answer:
3:4
Step-by-step explanation:
24 students : 32 people total
Divide both sides by 8
Answer: 3 to 4
this is correct, verified it myself B)
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
what kinda math is this
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.