The perimeter of any shape is given by the sum of it's all sides and as here the shape is square so it's all sides must be equal and it have 4 sides. So if we assume it's one side to be s , then perimeter = (s+s+s+s) = 4s , so in our question :
[tex]{:\implies \quad \sf 4s=28}[/tex]
[tex]{:\implies \quad \sf s=\dfrac{28}{4}=7}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{s=7\:\: inches}}}[/tex]
Hence , the length of each side of the square is 7 inches
[tex] \large \sf{⇒we \: know \: that \: perimeter \: of \: square = 4 \times sides} \\ \\ \large \sf{⇒ \: how} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒ \: we \: know \: that \: square \: is \: having \: all \: sides \: equal} \: \: \: \: \: \\ \\ \large \sf{⇒we \: only \: require \: to \: find \: that \: is \: one \: side} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒which \: is \: s + s + s + s = 4s} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒lets \: substitute \: the \: value \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \\ \\ \large \sf{⇒4s = 28} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex]\large \sf{⇒ \: s = \frac{28}{4} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒s = \cancel \frac{28}{4} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf{⇒s = 7} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \:: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \blue{\sf{⇒soo \: the \:perimeter(s) = 7inch,(side)}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
three times y is less than or equal to half of x can be written
Answer:
3y ≤ 1/2x
Step-by-step explanation:
please give brainliest!!
3 times y is less than or equal to half of x can be written as 3y ≤ x/2 or x ≥ 6y.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given that,
three times y is less than or equal to half of x can be written.
Three times y means that 3 is multiplied to y.
Half of x means that x is multiplied to 1/2.
This is an inequality expression.
We can write it as,
3y less than or equal to x/2.
3y ≤ x/2
Multiplying both sides by 2,
6y ≤ x
or x ≥ 6y
Hence the inequality expression is x ≥ 6y.
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$10,000 is compounded quarterly at 12% interest for t years. What expression represents the amount of money after t years?
Answer:
12%
Step-by-step explanation:
Find the value of x for the triangle.
Answer:
Step-by-step explanation:
8x + 2 + 70 + 60 = 180 {angle sum property of triangle}
8x + 132 = 180
8x = 180 -132
8x = 48
x = 48/8
x = 6
Here, we are given a triangle with 2 of its angle , the third angle is in the form of variable equation .
We will use the angle sum property of triangle to find the value of variable i.e x in the given triangle.
Here,
➙ ∠A = 70°
➙ ∠B = 60°
➙ ∠C = 8x + 2
Angle sum propertyIt states that the sum of all angles of a triangle is 180°
ㅤㅤㅤ➙ ∠A + ∠B + ∠C = 180°
ㅤㅤㅤ➙ 70° + 60° + ∠C = 180°
ㅤㅤㅤ➙ 130° + ∠C = 180°
ㅤㅤㅤ➙ ∠C = 180° - 130°
ㅤㅤㅤ➙ ∠C = 50°
ㅤㅤㅤ➙ 8x + 2 = 50
ㅤㅤㅤ➙ 8x = 50 - 2
ㅤㅤㅤ➙ 8x = 48
ㅤㅤㅤ➙ x = 48 / 8
ㅤㅤㅤ➙ x = 6
Show how to solve \/2x+1-4=-1
Answer: X=5/8
Step-by-step explanation:
2*x-1/4-(1)>0
Step 1 Simplify: 1/4
(2x-1/4)-1>0
Step 2 Rewrite the whole number in an equivalent fraction:
(Subtract a fraction from a whole)
2x=2x/1=2x*4/4
Adding Fractions that have a common denominator:
2x*4-(1)/4=8x*1/4
The equation at the end of step 2:
(8x-1)/4-1>0
Step 3 Rewrite the whole as an equivalent fraction:
1=1/1=1*4/4
Adding Fractions that have a common denominator:
(8x-1)-(4)/4=8x-5/4
The equation at the End of Step 3:
8x-5/4>0
Step 4:
Multiply both sides by 4 then Divide both sides by 8.
So the answer is
x>5/8
I know it seems a lot but it's just the way I learned it. I hope you understand.
36. Find m2 in isosceles trapezoid ABCD.
Given: m A = 60
Answer:
120
Step-by-step explanation:
Isosceles trapezoids have supplementary opposite angles
180 - 60 = 120
Both angle D and angle C are 120
What is the measure of angle B in the triangle?
Answer:
22°
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The tree diagram represents an
experiment consisting of two trials.
The probability defined as P(A and C) is the probability of P(A) × P(B) = (0.6 × 0.3) = 0.18
The probability of A ; P(A) from the tree diagram is 0.6
The probability of B ; P(B) from the tree diagram is 0.3
The probability, P(A and B) equals ;
P(A) × P(B) = 0.6 × 0.3 = 0.18
Therefore, probability of A and B is 0.18
A chain store plans to reduce its workforce by 3%. If there are currently 18,800 employees and 128 of them retire voluntarily, how many additional employees must
be laid off?
Answer: 436
Step-by-step explanation: 18,800 divided by .03 equals 564-128=436
3 1/2 is to 5 as X is to 15
Answer:
Answer:
[tex]x = 10.5[/tex]
Solving steps:
3 1/2 = 5, x = 15
divide 3.5 by 5
=> 0.7
0.7 by 15
=> 10.5
A copy machine makes 24 copies per minute. How many copies does it make in 5 minutes and 15 seconds?
Answer: it makes 126 copies
Explanation:
15/60=6/24
5x24=120
6+120= 126
answer thissss pleaseee
Answer:45 degree angle
Step-by-step explanation: am smart
find the area of each figure in square units. show your work and explain how you got the answer.
Answer:
28 square units or 28 units^2
Step-by-step explanation:
Find the degree of the monomial: 18x^6y^2
Answer:
8
Step-by-step explanation:
Exponent of x = 6
Exponent of y = 2
Degree of the monomial = 6 + 2 = 8
The area of a circle with a diameter of 4.275" is ___ sq in
Answer:
Step-by-step explanation:
diameter = 4.275"
r = 4.275 ÷ 2 = 2.1375"
Area of circle = πr²
= 3.14 * 2.1375 * 2.1375
= 14.3463
≈ 14.3 in²
The ratio 6 to 24 is equivalent to what ratio?
What fraction with a denominator of 100 is equivalent to 0.43?
Answer:
[tex]\frac{43}{100}[/tex]
Step-by-step explanation:
Think of it as a percentage. 43% is [tex]\frac{43}{100}[/tex] , but it is also 0.43. Any number over 100 will be put into a similar decimal format ([tex]\frac{12}{100}[/tex] = 0.12 and [tex]\frac{4}{100}[/tex] = 0.04)
The fraction with a denominator of 100 is equivalent to 0.43 is,
[tex]\frac{43}{100}[/tex].
Here,
We have to find fraction with a denominator of 100 is equivalent to 0.43.
What is Fraction?
A fraction is used to represent the portion/part of the whole thing.
Now,
Let a fraction with a denominator of 100 is [tex]\frac{x}{100}[/tex].
And, its equivalent to 0.43.
Hence,
[tex]\frac{x}{100} = 0.43[/tex]
[tex]x = 43[/tex]
So, A fraction with a denominator of 100 is [tex]\frac{43}{100}[/tex].
Which is equivalent to 0.43.
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One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.
The code for Escape Room is MCYHW.
InequalitiesInequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.
For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.
Inequality H[tex]-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1[/tex]
Therefore, you should connect H with x<1.
Inequality W[tex]32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2[/tex]
Therefore, you should connect W with x>-2.
Inequality M[tex]3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12[/tex]
Therefore, you should connect M with x≤-12.
Inequality Y[tex]-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9[/tex]
Therefore, you should connect Y with x≥9.
Inequality C[tex]-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7[/tex]
Therefore, you should connect C with x≥7.
Thus, the sequence is:
M - [tex]x\leq -12[/tex]
C - [tex]x\geq 7[/tex]
Y- [tex]x\geq 9[/tex]
H- [tex]x < 1[/tex]
W- [tex]x > -2[/tex]
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Factor completely.
5x^2 +2x + 3
find the volume of this prism 8cm 9cm 11cm
Answer:
792 cm
Step-by-step explanation:
8*9*11=792
72*11=792
72+720=792
Answer:
The answer is 396 i hope it helps!
f(x)=x/3-2 g(x)=3x^2+2x-6 (f+g)(x)
Answer:
Hope it helps bhhhhbbbbbbhb
A room is 12 feet long, 14 feet wide, and 11 feet high. The walls, ceiling, and floor are all to be painted the same color. How many square feet must be covered with paint?
Answer:
908 feet²
Step-by-step explanation:
To paint walls, we will be looking for surface area.
Since this is a room and we have three measurements, we can assume there will be the floor, the ceiling, and four walls. This means we will be looking for 6 sides in total.
-> See attached for a diagram I made of the sides we need
-> Keep in mind opposite pairs of walls will be the same, and the floor and ceiling will be the same.
We end up with the following sides:
11 * 12
11 * 12
11 * 14
11 * 14
12 * 14
12 * 14
We can simplify this to the following:
(2(11 * 12)) + (2(11 * 14) + (2(12 * 14) = 908 feet²
908 feet² must be covered with paint.
from 1-50, How many
Of them are perfect
numbers:
Answer:
2 of them are perfect numbers and they are 6 and 28
Step-by-step explanation:
because they are one of the first 5 perfect numbers!
Hope this helps :)
The number of eggs in the refrigerator e decreased by 5 equals 18
Answer:
I think its 5e = 18
I hope this helped! :)
Answer:
23 eggs
Step-by-step explanation:
e-5 = 18
e = 18+5
=23
The Sum of a number and two times a smaller number is 62. Three times the bigger number is C the smaller number by 116 the bigger number is? The smaller number is?
Answer:
x = 10
y = 42
Step-by-step explanation:
The sum of a number and two times a smaller number is 62
2x+y=62
so y=62−2x
Three times the bigger number exceeds the smaller number by 116
x+116=3y
substitute for y:
x+116=3(62−2x)
x+6x=186−116
7x=70
x=10
3y=10+116=126
#y = 126/3 = 42
if 9 is added to a number x the result is greater than 17. Find the range of values of x
The solution of inequality shows that the range is x >8.
Domain and RangeThe domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
InequalitiesInequality is a mathematical expression that does not present equality between both sides. It is represented by symbols: <, ≤, > and ≥.
For solving this question, you should convert the text of the problem into an algebraic expression. Consequently, you will have:
x+9 > 17
x > 17-9
x > 8
Therefore, the range is x>8.
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I’m having trouble understanding this can someone help please and thank you
When it is asking you to solve a system of equations, it means that it wants you to find the value of the variables, in this case, x and y.
3x + 2y = 1 -- equation 1
y = x - 12 -- equation 2
Put (equation 2)'s value of y into (equation 1)
3x + 2(x-12) = 1
3x + 2x - 24 = 1
5x - 24 = 1
5x = 25
x = 5 -- equation 3
Put (equation 3)'s values of x into (equation 2)
y = 5 - 12 = -7
Thus the solutions are x = 5 and y = -7 and we have solved the system of equations.
Hope that helped!
PLEASE HELP IM RUNNING OUT OF TIME
Answer:
the answer is 160 that the answer
What is the currency of Denmark?
Answer:
D a n I s h K r o n e ...........
I Think The Answer Is krone
What is the slope of the line that passes through the points (−10,−8) and (−9,−8)? Write your answer in simplest form.
Answer:
slope=0
Step-by-step explanation:
The required slope of the line is zero which implies that the given line is parallel to the x-axis.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
The slope of the line that passes through the points (−10,−8) and (−9,−8) is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute values in the above equation,
m = -8 + 8 / -9 +10
m = 0
Thus, the required slope of the line is zero which implies that the given line is parallel to the x-axis.
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1. Find the x- and y-intercept of the line. (1 point)
x - y = 12
The x-intercept is when the value of the y-coordinate is 0.
[tex]x - 0 = 12\\ x = 12[/tex]
Thus the x-intercept is at (12,0).
The y-intercept is when the value of the x-coordinate is 0
[tex]0-y=12\\y = -12[/tex]
Thus the y-intercept is at (0,-12)