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
Learn more about perimeter on:
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The property tax on a $60,000 home is $1,500. At this rate what will the property tax be on a home worth $75,000?
Answer:
The answer is $1,875
Step-by-step explanation:
1. I just divided $60,000 by 2 and $1,500 by 2 and got $30,000:$750
2. I realized I needed to do more so I divided again and got $15,000:$375. Next I added it to the question $60,000 + $15,000 = $75,000
3. So then $1,500 + $375 = $1,875
4. $75,000:$1,875
4. Hope this helps :)
The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.
340.1 ÷ 9.5 = 358
Answer:
35.8
Step-by-step explanation:
[tex]\frac{340.1}{9.5}[/tex] = 358
We know that our answer can never be greater than 358 since the dividend
is 340.1 and the divisor is 9.5;
Also,
Both values are to one decimal places and we can use this to solve the problem;
9 can divide 340 in about 37 place with a remainder of 7,
So, it is appropriate to make the solution 35.8
which equation represents this relationship
Answer:
B?
Step-by-step explanation:
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
A new brand of refrigerators and air conditioners saves 15% on power use. Your present monthly power bill averages $200. What would be your monthly savings by using this new brand?
Answer:
$170
Step-by-step explanation:
15 percent of 200 is 30 and 30 minus 200 would be 170
Please Help! need a step by step answer will give brainly
Answer:
If I know I will defiantly answer .but where is the question
3x2 + x = 2
Solve Real and imaginary solutions
Answer:
3*2+x=2
6+x=2
subtract 6 on both sides
x= -4
Step-by-step explanation:
what is the answer to this equation below?
x +x = x
what is x?
Answer:
x=0
Step-by-step explanation:
x+x-x=x-x
Answer:
x=0...........................................
question 1/ Find the slope of the line that passes through the points (2, 5) and (-7, -4). If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler.
Answer:
I believe the slope is 1
Step-by-step explanation:
Answer:
The slope is 1
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-4)-5/(-7)-2
m=-9/-9
m= 1
In the figure below, Angles 1 and 2 are congruent.
If m Z1 = 70°, what is the sum of Angles 3 and 4?
O A. 150°
O B. 140°
O C. 110°
оD 180°
Find the slope of the line that passes through (7, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer:
-3/2
Step-by-step explanation:
Visualize it or write it out.
A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how
many boxes can they pack in 8 minutes.
Answer:
112 boxes
Step-by-step explanation:
Answer: 112 boxes
Step-by-step explanation: 112 boxes in 8 minutes. To find how many boxes the machine packs per minute, you divide 70 by 5 and you get 14. You then multiply 14 boxes by 8 minutes giving you the product of 112.
The bar graph shows the differences in a city’s rainfall from the historical average. Find the sum of the differences for the year. Write your answer as a decimal.
Answer:
The total amount of rainfall for the year is negative, -1.73
Step-by-step explanation:
-0.45 + -0.88 + 0.94 + -1.67 + -0.96 + 0.83 + 2.36 + 1.39 + 0.35 + -1.35 + -0.9 + -1.39 = -1.73
What is the slope of a line passing through the points (-1, 3) and (4, -7)
A. -2
B. -4/3
C. 3/4
D. 2
Answer:
A
Step-by-step explanation:
-7-(3)/4-(-1)=-10/5 which is -2
Use the slope formula y2-y1/x2-x1 to solve
True or False? The blue radius is perpendicular to the green chord.
The statement that the blue radius is perpendicular to the green cord is false
From the complete question,
The blue radius does not bisect the green chord
This means that the blue radius and the green chord do not meet at 90 degrees
Since both lines do not meet at 90 degrees, then they are not perpendicular
Hence, the statement that the blue radius is perpendicular to the green cord is false
Read more about radius and chords at:
https://brainly.com/question/1869643
The post office sold 39-cent
commemorative stamps in sheets
of 25 stamps. What was the price
for the sheet of stamps?
Answer: $9.75.
Step-by-step explanation:
Given: Cost per stamp = 39 cents
since 1 dollar = 100 cent , so 1 cent = 0.01 dollar
So, Cost per stamp = $0.39
Total stamps = 25
Cost of 25 stamps = (Cost per stamp) x (Cost per stamp)
=$0.39 x 25
= $9.75
Hence, the price for the sheet of stamps = $9.75.
Evaluate the expression 2[x(2y+3z)] when x=8, y=3, and z=1. Show all steps below.
plz help me and show steps
Answer:
Step-by-step explanation:
Putting values
2[8(2(3)+ 3(1)]
2(8(9)
2(72)
144
The image of (2,-5) under the translation (X-3.y+6)
What is the discriminant of the quadratic equation, 4x^2-8x-5=0
Answer:
Step-by-step explanation:
4x^2-8x-5=0
The discriminant is the number under the √. In this case it's 144
Answer:
[tex]\Delta=144[/tex]
Step-by-step explanation:
For a quadratic in standard form, the discriminant is given by:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]4x^2-8x-5=0[/tex]
Hence, our a=4; b=-8; and c=-5.
Substituting into our formula, we acquire:
[tex]\Delta=(-8)^2-4(4)(-5)[/tex]
Evaluate:
[tex]\Delta=64+80[/tex]
Add:
[tex]\Delta=144[/tex]
Therefore, our discriminant is 144.
Notes:
Since our discriminant is a positive value, this tells us that our quadratic has two real roots.
t + 17 = 3
show work
Answer:
t=-14
Step-by-step explanation:
subtract 17 from each side
Answer:
t = -14
Step-by-step explanation:
to find out the answer, you need to get t by itself and to do that you subtract 17 from both sides. On the left side, it cancels out and on the right, 3-17 is -14 so t would equal -14
What is the solution to the equation below
50+ 4 = 2(C-5)
Answer:
32
Step-by-step explanation:
54 = 2(C-5)
27 = C-5
32 = C
a, = 5 +0.2(n-1)
f(n)
Answer:
a=4.8
Step-by-step explanation:
may be wrong tho
A rocket is 1.5miles above the earth in 20 seconds and is 8 miles above the earth in 2 minutes. What is the rockets rate of change in miles per seconds
Given:
A rocket is 1.5 miles above the earth in 20 seconds.
It is 8 miles above the earth in 2 minutes.
To find:
The rockets rate of change in miles per seconds.
Solution:
Let y be the height above the earth after x seconds.
A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).
It is 8 miles above the earth in 2 minutes.
1 minute = 60 seconds
2 minutes = 120 seconds
So, the point is (120,8).
The rockets rate of change in miles per seconds is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{8-1.5}{120-20}[/tex]
[tex]m=\dfrac{6.5}{100}[/tex]
[tex]m=0.065[/tex]
Therefore, the rockets rate of change is 0.065 miles per seconds .
What is the value of the expression 4/7 ÷ 12/21
Answer:
Step-by-step explanation:
[(24÷12)⋅6]+3⋅8÷2
2.Evaluate the expression.
(26÷13)⋅(−7)+14−4
3.Simplify this expression.
9 + 3 × 2
15
21
24
48
4.What is the value of this expression?
6⋅[(32−8)÷4+2]
5.Simplify.
6y+5z+8y−3z
11y + 5z
14y +2z
14y + 8z
16yz
does this help
whats the slope to this
Answer:
-14/15
Step-by-step explanation:
What would be the slope for a line perpendicular to y = -¼x + 2?
Answer:
m perpendicular= [tex]-\frac{1}{notlinear}[/tex]
Step-by-step explanation:
Help me asap please!! I'll give brainliest
Answer:
first one
Step-by-step explanation:
Use substitution to solve the system.
x=3y+5
5x-4y=14
______________
x=
y=
2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eight
years?
Answer:
Answer: 177
Step-by-step explanation:
Write the equation of the line that passes through the points (-8, -1) and (5-7).