[tex] \\ [/tex]
What is the length and area of a rectangle whose perimeter is 24 cm and the breadth is 4 cm?
[tex] \\ [/tex]
Given:-[tex] \\ [/tex]
Breadth of the rectangle = 4 cm[tex] \\ [/tex]
Perimeter of the rectangle = 24 cm[tex] \\ [/tex]
To find:-[tex] \\ [/tex]
Length of the rectangle[tex] \\ [/tex]
Area of the Rectangle[tex] \\ [/tex]
Solution:[tex] \\ [/tex]
❁We know:-
Perimeter of rectangle =2 ( Length + Breadth )
[tex] \\ [/tex]
By using this formula we can find length of rectangle
[tex] \\ [/tex]
So:-
↣ Perimeter of rectangle =2 ( Length + Breadth )
[tex] \\ [/tex]
↣ 24 =2 ( Length + 4 )
[tex] \\ [/tex]
↣24 = 2(Length) + 2(4)
[tex] \\ [/tex]
↣24 = 2(Length) + 2 × 4
[tex] \\ [/tex]
↣24 = 2(Length) + 8
[tex] \\ [/tex]
↣24 - 8 = 2(Length)
[tex] \\ [/tex]
↣ 16 = 2(Length)
[tex] \\ [/tex]
↣2(Length) = 16
[tex] \\ [/tex]
↣ Length = 16/2
[tex] \\ [/tex]
↣ Length = 8 cm
[tex] \\ [/tex]
Now Finally Let's find area :-
[tex] \\ [/tex]
❁We know:-
Area of rectangle = Length × Breadth
[tex] \\ [/tex]
So:-
⇢Area of rectangle = Length × Breadth
[tex] \\ [/tex]
⇢Area of rectangle = 4 × 8
[tex] \\ [/tex]
⇢Area of rectangle = 32 cm²
Which of the following sets are continuous? Check all that apply.
A. {2, 4, 6, 8, ...)
B. (-0, +00)
C. (30, 45]
D. [60, 100)
E. {3,7)
Answer: The correct answer option is B.
Step-by-step explanation:
We are to determine whether which of the given data sets in the answer options are continuous.
For this, we need to know what a continuous data set is.
A data set that has no definite end to its value but keeps on continuing.
Here, the data sets are given in A, C, D, and E have definite starting and ending points.
While B is a continuous set as its values are continuing to infinity.
Which ordered pair can be added to the table so that y is still a function of x
A. 4,5
B. 2,5
C. 0,4
D. -2,4
Answer:
A. 4,5
Step-by-step explanation:
No x-value can be repeated if the relation is to remain a function. The x-values already in the table are {-4, -2, 0, 2}. This list eliminates all answer choices except the first one: (4, 5) may be added to the table.
Find the total surface area of the net below
Answer:
75
Step-by-step explanation:
for the square in the middle, 7x4=28
for the triangles on the left and right 7x5=35 and since there are two of them you dont need to divide by 2
for the triangles on top and bottom, 3x4=12 and also 2 of them so you dont need to divide by 2
then just add it all up
2 min left and brainleist
Answer:
y=3x.
Step-by-step explanation:
The side of one square is 2 centimeters longer than the side of the second square. If the sum of their
areas is 100cm?, find the length of the side of each square.
*DUE TOMORROW* please help
Answer:
Side length of first square is 10 cm
Side length of second square is 8 cm
Step-by-step explanation:
Let (x + 2) = side length of first square
Let x = side length of second square
Area of a square = (side length)²
⇒ area of first square = (x + 2)²
⇒ area of second square = x²
If the sum of their areas is 100 cm² then:
⇒ (x + 2)² + x² = 100
Expand the brackets:
⇒ x² + 4x + 4 + x² = 100
Collect and combine like terms:
⇒ 2x² + 4x + 4 = 100
Subtract 100 from both sides:
⇒ 2x² + 4x - 96 = 0
Divide both sides by 2:
⇒ x² + 2x - 48 = 0
Factor:
⇒ (x - 6)(x + 8) = 0
Therefore,
⇒ x = 6, x = -8
As distance is positive, x = 8 only.
Therefore, side length of first square is 10 cm
Side length of second square is 8 cm
what is the total volume of the both storage space if one side of the large storage space is 4 feet long
Answer:
I believe your answer is 76.
Hope this helped!
21) Jaquan earns $5 per hour raking leaves. He needs at least $170 to buy a new deo game system. Write an inequality that describes how many hours he must work to reach his goal.
nick uses 8 dowels to make one birdhouse. if he bought 1,581 dowels, about how many birdhouses will he be able to make? (EXPLAIN) !!
what is the perimeter of an equilateral triangle whose height is 2 square root of 3
Answer:
the answer for this is 12
Answer:
Step-by-step explanation:
If we half the base of the equilateral triangle, which has a length of xcm, we can form a right-angled triangle with a base of x/2 cm and height 2√3 cm.
Now using Pythagoras' Theorem we solve for the hypotenuse:
[tex]x^{2} = (\frac{x}{2})^{2} + (2\sqrt{3})^{2}\\ x^{2} = \frac{x^{2}}{4} + 12\\ 4x^{2} = x^{2} + 48\\ 3x^{2} = 48\\ x^{2} = 16\\x = \frac{+}{}4\\ \\[/tex]
x must be positive as it is a length so we multiply 4 by 3 to get the perimeter of 12.
PLEASE HELP!!! I NEED ANSWERS NOW!!!
Chef Alfredo invested $4800 at a simple interest rate of 5% and can now afford a $6,000 state-of-the-art pizza
oven. How many years ago did he make this investment? Show all your work and answer in a complete sentence.
Chef Alfredo made the investment 4 years ago.
To solve this problem, we have to use the formula of simple interest.
Data;
rate = 5%principal = 4800Simple Interest + principal = $6000T = time ?Simple InterestThe formula of simple interest is given as
[tex]S.I = \frac{PRT}{100}[/tex]
Let's subtract the principal from the final amount to know the simple interest
[tex]6000-4800=1200[/tex]
Substitute the values into the formula
[tex]s.i=\frac{prt}{100} \\1200=\frac{6000*5*t}{100}\\ 1200*100=6000*5*t\\120000=30000t\\t = 4[/tex]
The time he made that investment was 4 years ago
Learn more on simple interest here;
https://brainly.com/question/20690803
What is 946 divided by 11?
AE=12 & EC=4, which of the following would NOT be possible lengths of DE & EB?
a. 8&6
b. 10&4.8
c. 24 & 2
d. none of these
1. Find the area of the composite figure.
picture at the bottom
Hi i need help with question number 1
if one fourth of a number is added to 5 then their sum equal to 25 find the number
Answer:
➢ 5.25
I hope it'll help you...
[tex]#CarryOnLearning[/tex]
The number that gives a value of 25 when 1/4 of the number is added to 4 is 80.
What is the number?The first step is to represent the information in the question as an equation:
1/4x + 5 = 25
In order to determine the number, take the following steps:
Combine similar terms
1/4x = 25 - 5
Add similar terms
1/4x = 20
Multiply both sides of the equation by 2
x = 80
To learn more about multiplication, please check: https://brainly.com/question/14059007
Write 0.54 as a fraction.
a fifty-four hundredths
b four and five-tenths
c fifty-four tenths
d five and four-tenths
[tex]\\ \tt\hookrightarrow 0.54[/tex]
Fifty-four hundredths[tex]\\ \tt\hookrightarrow \dfrac{54}{100}[/tex]
More simplify
[tex]\\ \tt\hookrightarrow \dfrac{27}{50}[/tex]
Solution:
Since there is two digits on the right of the decimals, it is called "the hundredths."
=> 1 digit on the right of decimal - tenths=> 2 digits on the right of decimal - hundredths=> 3 digits on the right of decimal - thousandths=> 4 digits on the right of decimal - ten thousandthsNow, we can recite 0.54 as 54 hundredths. The word "54 hundredths" defines 54/100. Hence, Option A is correct.
Further Simplification
=> 54/100 = 27/50PLEASE HELP ASAP
1. Chef Alfredo has noticed some changes in his business. He usually sells 45 pizzas on Sunday afternoons. During
football season, he has big television screens televising NFL games and he sells 72 pizzas.
a. What is the percent change?
b. did it increase or decrease?
c. answer in a complete question
(PLEASE SHOW WORK)
Answer:
a. 60%
b. increase
Step-by-step explanation:
To find the percentage, you can divide 72 by 45 to get the decimal increase, or 1.6. Percentage rates are decimals, and you can think about this like coloring 60 circles out of 100, representing 60% of 100. Since 72 is higher than 45, this was a percentage increase.
What is the equation of the line that goes through the points (1,1) and 3,-3)
Answer:
y = -2x + 3
Step-by-step explanation:
[]Let us write an equation in slope-intercept form.
-> See attached
-> Our equation will start out as y = x
[] The slope can be found by taking the change in y divided by the change in x
-> [tex]\frac{-3-1}{3-1}=\frac{-4}{2}=\frac{-2}{1}=-2[/tex]
-> Now our equation is y = -2x
[] The y-intercept, or b, can be found by plugging a point given to us into the equation we have so far.
-> y = -2x + b
(1) = -2(1) + b
1 = -2 + b
3 = b
-> Now our equation is y = -2x + 3, which is our final answer.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
y = -2x +3
Step-by-step explanation:
coordinates given (1,1) and (3,-3)
How to find equation? first find slope.
slope formula:
(y2-y1)/(x2-x1)
using this formula:
(-3-1)/(3-1)
-4/2
-2 ........this is slope also refereed as (m) in short form.
Use the formula:
y - y1 = m( x - x1)
using the formula:
y - 1 = -2( x - 1)
y -1 = -2x + 2
y = -2x +3
RSTV is an isosceles trapezoid with bases RV and ST and MN || RV. Name a pair of congruent angles.
Answer:
the second answer
NMS MNT
A hummingbird flaps its wings 1500 times per minute while airborne. While migrating south in the winter, how many times during a 1.5 hour flight does the hummingbird flap its wings? (reminder- to get the extra credit you MUST attach work)
p.s. i need the work to how to do it
Answer:
135,000
Step-by-step explanation:
1.5 hour means 90 minutes
1500 * 90 = 135000
Find the area please help me
simplify the expression by combing terms.
8a+4b+2c-3b+a
Answer:
9a+b+2c
Step-by-step explanation:
combined like terms
30. Tickets to a concert are $24 apiece. There is also a $5 handling fee for the
entire order. You and some friends ordered tickets and the bill came to a total
of $173. How many tickets did you order?
Answer:
7 tickets
Step-by-step explanation:
First, do 173 - 5 which is 168
Then, divided 168 by 24
That is equal to 7
You and ur friends ordered 7 tickets!
Hope this helps! :)
divide 82 in the ratio 1:3
will give brainliest to whoever answers first
Answer:
20.5 : 61.5
Step-by-step explanation:
1:3
1 + 3 = 4
82 ÷ 4 = 20.5
ratio of 1:3
1 × 20.5 = 20.5
3 × 20.5 = 61.5
20.5 : 61.5
100×100×60×2(4) /3(2)×5(3)×32
Answer:
1666.67
Step-by-step explanation:
100×100×60×2×4
=____________________
3×2×5×3×32
=4800000
_________
2880
=1666.67
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
The greatest number for circle B is letter E
Suppose that a loan of $5500 is given at an interest rate of 13% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
(b) Find the amount owed at the end of 2 years.
?
Answer:
11,990
9% of 5500 is 495
(495+5500) [one year] x 2 [two years] = $11,990
At the end of 2 years, Aldo will owe $11,990.
Hope it helps
Can someone please help me out?
Answer:
11.5
Step-by-step explanation:
Coordinate values and side lengths are multiplied by the dilation scale factor. (Angle values remain unchanged.)
W'X' = (1/4)WX
W'X' = (1/4)(46) = 11.5
44.3 rounded to the tenths place
Is it possible to form a triangle with side lengths 2.7, 3.1, and 4.3? If not, explain why not.
Answer:
YesThe sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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Thank You!
Answered by: ms115
#learnwithbrainly