Answer:
252 centimeters squared is the answer.
The area of the rectangle is 252 cm².
What is a rectangle?A rectangle is a plane shape that has pair of opposite sides and angles equal
To calculate the area of a rectangle, we use the formula below.
Formula:
Area of a rectangle(A) = Length(L)×Width(W).............. Equation 1
⇒ Let the length of the rectangle be x and the width of the rectangle be y.
If the length is decreased by 6 cm
new length = (x-6) cmAnd if the width is increased by 3 cm
new width = (y+3) cmSince the new length and the new width form a square,
Note: In a square, all sides are equal
(x-6) = (y+3)x = y+9...................... Equation 2Also, The area of the new square formed is smaller than the area of the rectangle by 27 cm²
xy = (y+3)²+27............ Equation 3Substitute these values of x in equation 2 into equation 3
(y+9)(y) = (y+3)²+27y²+9y = y²+6y+9+27y²+9y = y²+6y+36Collect like terms
y²-y²+9y-6y = 363y = 36y = 36/3y = 12 cm.Substitute the value of y into equation 1 to get x
x = 12+9x = 21 cm.Area of a rectangle = Length×width = 12×21 = 252 cm²Hence, The area of the rectangle is 252 cm².
Learn more about rectangles here: https://brainly.com/question/24571594
What is the median of 23, 34, 35, 37, 41, 43, 43
Answer:
The Median is 37
Step-by-step explanation:
Answer:
the answer is thirty seven
37
it's the middle number
where do the equations y=5x+1 and y=2x-11 intersect
Answer:
They intersect at (-4, -19)
Step-by-step explanation:
Graph both of the equations and once you do that all you have to do is find the point where they intersect.
Hope this helped you!
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Answer:
(-4,-19)
Step-by-step explanation:
Please help! i really need help with this! question is below!
Step-by-step explanation:
Area of the square:
a^2: 4^2=16in^2
Area of the circle:
πr^2: π(4.5)^2= 63.6
Area of white part:
63.6 - 16 = 47.6
Probability of landing on square:
16/63.6 = 0.25
Probability of landing on white part:
63.6/16 = 3.975
(Relative frequency) Attachment. WILL MARK BRAINLIEST AND 5 STARS!
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Answer:
See belowStep-by-step explanation:
Given the data set of 15 where:
Mean = 7Median = 6Mode = 5The minimum is 1 and the maximum is 10As per given we conclude
The set will have 7 numbers before 6 and 7 numbers afterSum of 15 numbers is 15*7 = 105The most used number is 5a) Possible set is:
1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10b) Add number 20, the set will be:
1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10, 20The mean is different as we have now more numbers with different sum:
(105 + 20)/(15 + 1) = 125/16 = 7.8125The median is different now and moves to the right as 20 added to the far right:
(6 + 9)/2 = 7.5The mode stays same as still most used number is 5:
5What is the median for the following set of data? 2, 3, 6, 8, 9, 10, 11 7 8 10 11
8 :)
Step-by-step explanation:
what is the postive solutionto the equation 0=1/3x²-3
help please!
- Write a recursive formula for a an =12+(n−1)10.
Answer:
12/(n-1)=10/(n+3). 12n−1=10n+3 12 n - 1 = 10 n + 3
Step-by-step explanation:
15,650 mm= _______ cm
what goes in the blank?
how do I show my work?
correct=brainliest
18. What is the y-intercept of the line BC?
O A-2
B) -3
C) -2.3
OD 2
Answer:
18. What is the y-intercept of the line BC?
b) -3
Answer:
C
Step-by-step explanation:
It intercepts the horizontal line between -2 and -3, so that means that it is not a whole number. Therefore, the only answer possible is -2.3.
Hurry please. Also thank you in advance
Answer:
The answer is C [tex]\sqrt{97}[/tex].
Step-by-step explanation:
Use the pythagorean theorem. [tex]a^{2} + b^{2} = c^{2}[/tex]. With a and b corresponding to the legs of the triangle.
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HELP ME WITH ALGEBRA PLEASE! THANK YOU
Answer:
d=8
Step-by-step explanation:
Okay we've got 68/17 and d/2
68/17 = 4 meaning d/2 is also 4. Since 4 × 2 is 8, we know the answer is 8.
Help asap plss i will give you brainliest
Answer:
A. -80x + 24
Step-by-step explanation:
- 8( 10x - 3 )
- 8( 10x )
= - 80x
- 8 ( - 3 )
= 24
- 80x + 24
Remember, when you multiply a negative number with another negative number it will become positive
Hope this helps dude
what’s the answer, and how do I find it step-by-step?
Answer: 16p^8q^4r^8 The yellow one
Step-by-step explanation:
Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2
Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2
Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2
Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one
TE
6 (a - 2) + 8a - 2 + 3 (a + 1)
Answer:
6a - 12 + 8a - 2 + 3a + 3
17a - 11
Step-by-step explanation:
You first solve the brackets by multipling
And you add the sums that consists same letters
what is the mad of this data set? 3,6,6,8,11,15,16
Answer:
4.0408163265306
Step-by-step explanation:
solve for y.
5x + 4 = -4y
Answer:
5x−4=y 5 x - 4 = y . Add 4 to both sides of the equation. Divide each term by 5 and simplify. Divide each term in 5x=y+4 5 x = y + 4 by 5 5 .
Here's the answer I hope this helps you
Step-by-step explanation:
Express each of the following in the form
[tex] {7}^{x} [/tex]
a)
[tex] \sqrt[5]{7} [/tex]
b)
[tex] \frac{1}{ \sqrt[7]{7} } [/tex]
Answer:
Explanation:
Answers:
a) [tex]7^{1/5}[/tex]b) [tex]7^{-1/7}[/tex]Each answer has 7 as the base and a fraction as an exponent.
==========================================================
Explanation:
One useful rule here is that [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]. The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.
For part a), we have x = 7, m = 1 and n = 5 to get
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\[/tex]
-----------------
Part b) is the same idea
We would find that
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\[/tex]
Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1
[tex]\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\[/tex]
You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.
In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.
Which set of numbers is ordered from greatest to least?
A. -6, -10, 0,3
B.-7, -5, 2,6
C. 4, 3, -2,-6
D.-3, -6, 9, 11
Answer:
C
Step-by-step explanation:
Positives are bigger than negatives, so the highest is 4 and the lowest is Negative 6.
Answer:
c is the answer
Step-by-step explanation:
because when the number is negative it's lowe than a positive number and the answer "c" has the first number as a positive which that number is the greatest out of all of them in that answer
What is 2 x 4 x 5 x 7 x 4
Answer:
1120 is your answer
Step-by-step explanation:
2 x 4 x 5 x 7 x 4
8×5×28
40×28
1120
Answer:
1120
Step-by-step explanation:
2 x 4 x 5 x 7 x 4
8×5×28
40×28
1120
What are some fractions equivalent to -1/4
Answer:
-2/8, -4/16, -8/24
Step-by-step explanation:
Answer:
-2/8
-4/16
-8/32
-16/64
-25/100
Write an equivalent expression for -5(8-2x)
Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for π. Round to the nearest hundredth if necessary.
56 is the cm.
Answer:
56÷2=28
Circumference=2×3.142×r
c= 2×3.142×28=175.952
hundredth =175.95cm
Area=3.142×r^2
A= 3.142×28^2=2463.328
hundredth =2463.33cm^2
What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?
Answer:
Step-by-step explanation:
What is the name of the little gates that control the airflow through the brass instrument? A. slides B. bend C. valves D. pick ( this is for music class)
Answer:
valves
Step-by-step explanation:
get this correct for juice wrld
Answer:
juice wrld dosent like math
Step-by-step explanation:
There are 568 apples in the kitchen ready to make apple pies, if 50% of them are green, how many are green?
Answer:
284 apples are green
Step-by-step explanation:
50 is half of one hundred so you divided 568 by 2
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25, point, 25 meters thick.
Let y represent the ice sheet's thickness (in meters) after x weeks.
Which of the following information about the graph of the relationship is given?
Choose 1 answer:
(Choice A)
A
Slope and xxx-intercept
(Choice B)
B
Slope and y-intercept
(Choice C)
C
Slope and a point that is not an intercept
(Choice D)
D
x-intercept and y-intercept
(Choice E)
E
y-intercept and a point that is not an intercept
(Choice F)
F
Two points that are not intercepts
What is the parallel line of a slope =4
Answer:
4
Step-by-step explanation:
The line must have the same slope as the original in order to be considered parallel, which in this case is 4.