The new dimensions of the garden are 8 feet and 7 feet.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Given that,
The length of rectangular garden = 5 feet,
And the width of rectangular garden = 4 feet.
The area of rectangular garden = 5 x 4 = 10 square feet.
Let the length and width are increased by x feet, to make the new area 56 square feet.
The new length = 5 + x,
and new width = 4 + x.
The area = 56
(5 + x) × (4 + x) = 56
Substitute, x= 3 which satisfies the equation,
So, the new length of garden = 5 + 3 = 8 feet,
And the new width of garden = 4 + 3 = 7 feet.
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if your last period started on Augest 6 and stopped on Augest 11. when will you have your next period?
If a+b+c=6,ab+bc+ca=11,then what is a3+b3+c3-3abc
(a+b+c)^3=a^3 +b^3+c^3-2(ab+ac+bc)
216=a^3+b^3+c^3-2(11)
a^3+b^3+c^3=238
but ıdk how can ı find -3abc :/
===============================================
Work Shown:
a+b+c = 6
(a+b+c)^2 = 6^2
(a+b+c)(a+b+c) = 36
a(a+b+c)+b(a+b+c)+c(a+b+c) = 36
a^2+ab+ca+ab+b^2+ca+bc+c^2 = 36
a^2+b^2+c^2+2ab+2bc+2ca = 36
a^2+b^2+c^2+2(ab+bc+ca) = 36
a^2+b^2+c^2+2*11 = 36
a^2+b^2+c^2+22 = 36
a^2+b^2+c^2 = 36-22
a^2+b^2+c^2 = 14
-----------------------
a^3+b^3+c^3-3abc = (a+b+c)*(a^2+b^2+c^2 - (ab+bc+ca) )
a^3+b^3+c^3-3abc = 6*(14 - 11)
a^3+b^3+c^3-3abc = 18
Use properties of operations to find the quotient. -14 ÷ (-4.48)
Answer:
3.125
Step-by-step explanation:
-14÷(-4.48)
14÷(4.48)
divide that you will get 3.125
25/8, 3 1/8
is its alternative form.
What is the value of the expression below
x = 8 and y = 3
9x + 7y
9x+7y
x=8 and y=3
9(8)+7(3)
72+7(3)
72+21
=93
a rectangluar rug has a length that is 3 times its width. The perimieter is 56 feet. what are the dimensions?
Answer:
7 x 21
Step-by-step explanation:
We can say that the dimensions are a and b. Since this is a rectangle, we know that the perimeter will be 2a + 2b. So our first equation is:
2a + 2b = 56.
They also tell us that the length is 3 times its width. So we can say this:
a = 3b.
Now we can substitute, and we can do the full problem with the given info:
2a + 2b = 56
a = 3b
2a = 6b
6b + 2b = 56
8b = 56
b = 7
Now that we know b, we can multiply it by 3 to get a:
b = 7
a = 3b
a = 21.
So our answer is:
a = 21
b = 7
Answer:
Dimensions:
7 x 21
Answer:
Width=7
Length=21
Step-by-step explanation:
p=56 feet
L=3W
P=2L + 2W
56=2(3W)+2W
56=6W+2W
56=8W
W=56/8 = 7 ⇒ Width=7
L=3W
L=3*7
L=21 feet ( length=21 feet)
check : p=2l+2w
P=2(21)+2(7)
p=42+14=56
Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns as 4:3. Which ratio is equivalent to Colton's ratio?
Answer:
4 to 3
Step-by-step explanation:
Since in the question it is mentioned that the ratio is written by comparing the number of video games with respect to sports to the number of video games with respect to the driving is 4: 3
Also the ratio defines a relationship between the two variables
So, the ratio that is equal to cotton ratio is 4 to 3 and the same is to be considered
Answer:
Your answer is 4 to 3
Step-by-step explanation:
how to do recurring decimal and fraction
Answer:
What do you mean.....???
ex.....0.444444.......
Remove point.... and Write 9 as denominator
that is 4/9
Writing a two-column proof
Answer: I know this is late, but hope this helps. ^-^
Step-by-step explanation: Edge 2021.
To prove : m∠ABC = m∠GHI
Given,
∠ABC ≅ ∠DEF
∠GHI ≅ ∠DEF
Here,
∠ABC ≅ ∠DEF
∠GHI ≅ ∠DEF
∠DEF ≅ ∠ABC (Symmetric property)
∠GHI ≅ ∠ABC (transitive property)
m∠GHI = m∠ABC (definition of ≅ angles)
m∠ABC = m∠GHI ( symmetric property)
Hence
m∠ABC = m∠GHI
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pls ignore the numbers that was another problem :)
3/4 + 1/8 + 1/10 = 39/40
............................................
Answer:
39/40 Please mark my answer the brainliest. It will get me to the next level!
Step-by-step explanation:
4=4, 8, 12, 16, 20, 24, 28, 32, 36, 40
8=8, 16, 24, 32, 40.
10=10, 20, 30, 40.
GCF=40
3/4=30/40
1/8=5/40
1/10=4/40
30+5+4=39
Amy invested $250 in the bank and a year later has $285.72. By what percent has the amount changed?
Answer:
14.28 %
Step-by-step explanation:
It is given that,
Initial amount is $250 and after 1 year the amount is $285.72. We need to find the percent by which the amount changed. It can be calculated as follows :
[tex]\%=\dfrac{\text{change in amount}}{\text{initial amount}}\times 100\\\\\%=\dfrac{285.72-250}{250}\times 100\\\\\%=14.28\%[/tex]
Hence, there is an increase of 14.28 % in this case.
In a cyclic quadrilateral ABCD, if (∠B – ∠D) = 60o , show that the smaller of the two is 60o
ANSWER
It is given that ABCD is a cyclic quadrilateral
(∠B−∠D)=60
o
......(1)
(∠B+∠D)=180
o
.....(2)
By adding both the equations
∠B−∠D+∠B−∠D=60
o
+180
o
So we get
2∠B=240
o
By division
∠B=120
o
By substituting equation it in equation (1)
(∠B−∠D)=60
o
120
o
−∠D=60
o
On further calculation
∠D=120
o
−60
o
by subtraction
∠D=60
o
Therefore, the smaller of the two angles ∠D=60
o
.
Step-by-step explanation:
where should the decimal point be placed in the example shown
Answer:
A
Step-by-step explanation:
3x-5)(x2+2x+1) Please show working
Answer:
3x^3 + x^2 -7x - 5
Step-by-step explanation:
SOOOOOOO you use the distributive property and multiply by each term.
Answer:
3x^3 + x^2 -7x -5
Step-by-step explanation:
(3x-5)(x^2+2x+1) you multiply and then add to get to 3x^3 + x^2 -7x -5.
*For example (x+2)(x+3) will be x^2+5x+6 The same logic is applied.
Which equation represents the data shown in the table below? Fence Length (y) 100 150 180 240 Number of Posts (x) 11 16 19 25 A y 10x 1 B y 10(x 1) C y 10x 1 D y 10(x 1)
Answer:y=10x-1
Step-by-step explanation:
Mary likes to collect coins. Mary got 24 coins from her brother, 16 coins from her mother as well as
37 coins from Joan. However, Mary lost 23 coins before putting those coins into her piggy bank. How
many coins does Mary have in her piggy bank?
Answer:
53
Step-by-step explanation:
24+16=40 40+37=77 77-24 = 53
y/3=2-2y in a verbal sentence
Answer:
Y=6/7
Step-by-step explanation:
Y=0.857142
Answer:
a number divided by 3 equals the value of two times the same number subtracted from 2Step-by-step explanation:
PLEASE HELP FAST..ASSIGNMENT IS DUE IN MINUTES!!
An ice cream cone costs $3
plus 6% sales tax. How many
Icecream cones can be purchased
for $24?
Answer:8
Step-by-step explanation:
Answer:
Since its due quickly ill just write the answer. Let me know if you want the work as well though.
3*(1.06)=3.18
so,
24/(3.18)=7.57
You can't have half an ice cream cone ( i wish we could though :( ) , you can only get 7
7 ice cream cones
Please please please help! D:
Answer:
∠ CAD = 32°
Step-by-step explanation:
The sum of the angles in Δ ABD = 180°, thus
∠ BAD + 100° + 48° = 180°
∠ BAD + 148° = 180° ( subtract 148° from both sides )
∠ BAD = 32°
Since AD bisects ∠ CAB , then
∠ CAD = ∠ BAD = 32°
9+w>7 what is the inequality?
Answer:
w > -2
Step-by-step explanation:
9 + w > 7
Subtract 9 from both sides to end up with w alone on the left side.
w > -2
The formula x + y = 180 can be used to find the degrees of supplementary angles, where x is the smaller angle. Find the domain and range of this solution
Answer:
Domain : 0° < x <90°
Range: 90° < y < 180°.
Step-by-step explanation:
When we have a function:
f(x) = y
the domain is the set of the possible values of x, and the range is the set of the possible values of y.
In this case we have:
x + y = 180°
such that x < y
Let's analyze the possible values of x.
The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.
Knowing this, we can find the maximum value for y:
0° + y = 180°
y = 180° is the maximum of the range.
Then we have:
0° < x
y < 180°
To find the other extreme, we can use the other relation:
x < y.
Then, we can impose that x = y (this value will not be either in the range nor the domain)
if x = y then:
x + y = x + x = 180
2*x = 180
x = 90°
This will be the maximum of the domain and the minimum of the range.
Then we have that the domain is:
0° < x <90°
And the range is:
90° < y < 180°.
**URGENT** what is 2 and 1/3 minus 4/5 written as an improper fraction?
Answer:
23/15
Step-by-step explanation:
Step 1:
2 5/15 - 12/15
Step 2:
35/15 - 12/15
Answer:
23/15
Hope This Helps :)
what is the multiplicative inverse of -1/2
In mathematics, the reciprocal, or multiplicative inverse, of a number x is the number which, when multiplied by x, yields 1. It is denoted 1/x or x-1.
In an arithmetic sequence, the first term is 2 and the second term is 5. Find the common difference.
Answer:
d = 3Step-by-step explanation:
In an arithmetic sequence the common difference is always the difference between the next term and the previous term:
[tex]d= a_2-a_1=a_3-a_2=...=a_{150}-a_{149}=....[/tex]
we have: [tex]a_1=2\quad and\quad a_2=5[/tex]
so:
[tex]d=5-2 =3[/tex]
I don’t know what to do here someone please help
Answer:
2) 24
3) 13
4) 27
Step-by-step explanation:
2) 3(2)^4-1=3(2)^3=24
3) 3(5)-2=15=2=13
4) 4(6-1)+7=4(5)+7=20+7=27
“six less than twice y”
Answer:
2y-6
Step-by-step explanation:
Six less = Subracted by 6.
The local cable TV provider charges $89.00 per month for basic service, and has a $45.00 one-time "Activation Fee" for new accounts. Write (choose) the model for the Total Cost (C) of having cable TV as a function of the number of months (m) that you have service.
Answer: 89m+45=c
Step-by-step explanation:
16 less than the product of - 2 and -12
Answer:
8
Step-by-step explanation:
-12 x -2 = 24. 24-16=8
what is the graph of y= [tex]-\sqrt[7]{x} -8[/tex]
2•14+ 3•7
————-
71 - 15
A large rectangle has length a + b and width c + d. Therefore, its area is (a + b)(c + d).
Find the area of each of the four small rectangles in the figure. Then find the sum of these areas.
The area of each of the small rectangles is __?
Answer:
The area of four small rectangles are ac, bc, ad and bd.