Answers
[tex]{ \huge{ \green{ \underline{ \rm{Given}} \colon}}}[/tex]
[tex]{ \large{ \red{➾ \: \: \bf{Perimeter \: \: of \: \: square = 32 \: miles}}}}[/tex]
[tex]{ \huge{ \orange{\underline{ \rm{To \: \: find}} \colon}}}[/tex]
[tex]{\large{\purple{✭\: \:\bf{\underline{\underline{Side \: \: of \: \: square}}}}}}[/tex]
[tex]{ \large{ \blue{✮ \: \: { \boxed {\bf{Perimeter \: \: of \: \: square = 4 \times sides}}}}}}[/tex]
[tex]{ \large{ \pink{⇝ \bf{32 = 4 \times a}}}}[/tex]
[tex]{ \large{ \purple{⇝ \: \bf{a = \dfrac{ \cancel{32} \: {}^{8} }{ \cancel{4} }}}}}[/tex]
[tex]{ \large{ \orange{ ∴ \: \rm{Side \: \: of \: \: square(a) ={ \boxed{\boxed{ \rm{8 \: \: miles}}} \: \: Ans.}}}}}[/tex]
Related Questions
If water freezes at 0ᴼC, which temperature is above freezing
Answers
Answer:
32 F
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £110 is
decreased to £98.
Answers
Answer:
10.91% decrease
Step-by-step explanation:
98/110 x 100 = 89.090909
100 - 89.0909 = 10.909090 to 2dp is 10.91%
which expression are equivalent to this exponential expression
Answers
Answer:To create an equivalent expression, you simply need to move the base and exponent to the other side of the fraction line and change the exponent to positive: 1/(24)
Step-by-step explanation:
Which graph represents the function f(x)=-|x|-2?
Answers
Answer:
ind the absolute value vertex. In this case, the vertex for y=−|x|−2 is (0,−2).
(0,−2)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation: {x|x ∈ R}
For each x value, there is one y value. Select few x values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.
x y
−2 −4
−1 −3
0 −2
1 −3
2 −4
Step-by-step explanation:
Answer:
The answer is C.
I hope this helps you!
Find the locus of a point such that the sum of its distance from the point ( 0 , 2 ) and ( 0 , -2 ) is 6.
~Thanks in advance !
Answers
Answer:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Step-by-step explanation:
We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.
First, we will need the distance formula, given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the point on the locus be P(x, y).
So, the distance from P to (0, 2) will be:
[tex]\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}[/tex]
And, the distance from P to (0, -2) will be:
[tex]\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}[/tex]
So sum of the two distances must be 6. Therefore:
[tex]d_1+d_2=6[/tex]
Now, by substitution:
[tex](\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6[/tex]
Simplify. We can subtract the second term from the left:
[tex]\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}[/tex]
Square both sides:
[tex](x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)[/tex]
We can cancel the x² terms and continue squaring:
[tex]y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4[/tex]
We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:
[tex]-8y=36-12\sqrt{x^2+(y+2)^2}[/tex]
We can divide both sides by -4:
[tex]2y=-9+3\sqrt{x^2+(y+2)^2}[/tex]
Adding 9 to both sides yields:
[tex]2y+9=3\sqrt{x^2+(y+2)^2}[/tex]
And, we will square both sides one final time.
[tex]4y^2+36y+81=9(x^2+(y^2+4y+4))[/tex]
Distribute:
[tex]4y^2+36y+81=9x^2+9y^2+36y+36[/tex]
The 36y will cancel. So:
[tex]4y^2+81=9x^2+9y^2+36[/tex]
Subtracting 4y² and 36 from both sides yields:
[tex]9x^2+5y^2=45[/tex]
And dividing both sides by 45 produces:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.
if 10% of a group of children are girls, what is the ratio of girls to boys
Answers
Answer:
9 boys to 1 girl
Step-by-step explanation:
Which angles are adjacent to each other?
a) Angle 12 and Angle 7
b) Angle 6 and Angle 9
c) Angle 12 and 9
d) Angle 5 and Angle 11
Answers
Answer:
(c). Angle 12 and 9
Step-by-step explanation:
Seth is two-thirds as tall as his father. If Seth is 54 inches tall, how tall is his father?
Answers
Answer:
81 inches tall
pls mark me brainliest
What is the value of 20+6•5/-2
Answers
Answer:
The answer is 25
Step-by-step explanation:
6•5=30
30+20=50
50/-2=25
A parachutist's speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that I mile is equal to 5280 feet. Do not round your answers.
Answers
Answer:
198 ft/s speed
99 ft distance
Step-by-step explanation:
Answer:
7.33333ft
Step-by-step explanation:
A store purchases baseball hats from two different manufacturers in 3 different colors, summarized
below. One hat is chosen at random. Give your answer as a decimal out to at least 4 places.
Black Blue Red Total
Manufacturer A 23 21 29 73
Manufacturer B 27 17 10 54
Total 50 38 39 127
х
a) Find the probability that the hat was was Black or was from Manufacturer A. 0.3150
O 0.78740157480315
b) Find P(Red).
c) Find P(Manufacturer B and Red),
d) Find P(Manufacturer B or Red).
Answers
Answer:
See below
Step-by-step explanation:
a)
P(A or Black) = (73 + 27)/127 = 100/127 = 0.7874015748
b)
P(Red) = red/total = 39/127 = 0.30708661417
c)
P(Manufacturer B and Red) = (B and red)/total = 10/ 127 = 0.0787401575
d)
P(Manufacturer B or Red) = (B or red)/total = (54 + 29)/127 = 0.65354330708
Helppppp please. I am stumped..
Answers
Answer:
D
Step-by-step explanation:
w = width
length = w + 0.6
A = l · w
A = w (w + 0.6)
A = w² +.6w
Answer:
D
Step-by-step explanation:
w = width
l = length = w + 0.6
Area = ( l ) * ( w )
Area = ( w + 0.6 ) ( w )
Area = w^2 + 0.6w
Solve.
3/5x - 7 = 23
A. x = 40
B. x = 45
C. x = 50
D. x = 55
Answers
Answer:
(C) x=50
Step-by-step explanation:
[tex]\frac{3}{5 }x -7=23[/tex]
[tex]\frac{3x}{5} -7=23[/tex]
[tex]\frac{3x}{5} -7+7=23+7[/tex]
[tex]\frac{3x}{5}=30[/tex]
[tex]3x=30* 5[/tex]
[tex]3x=150[/tex]
[tex]x=50[/tex]
Answer:
(C) X = 50
Step-by-step explanation:
(3/5)*x-7 = 23 // - 23
(3/5)*x-23-7 = 0
3/5*x-30 = 0 // + 30
3/5*x = 30 // : 3/5
x = 30/3/5
x = 50 (Sorry if it's wrong)
Last Friday Kali had $22.62. Over the weekend she received some money for cleaning the attic. She now has $33.99. How much money did she receive?
Answers
To find the answer, all you need to do is subtract 22.62 from 33.99. Remember that you need to line up the decimals, or else you will not get the right answer.
33.99
22.62
———
11.37
Plz help this one is the last one of the day plz help
Answers
and now we find 80%
since 20% x 4 = 80%, we can multiply 15 by 4 to get 80% of 75
15 x 4 = 60
80% of 75 = 60
Pls help my brain is fried and this is my last question
Answers
Answer: 14, 16, 18, 20 in that order
Step-by-step explanation:
If the bottom response square is asking for a general equation, it would be y=x+7
The blue dot is at what value on the number line?
Answers
Find the angle of this sector.
6 cm
NEED ASAP
5 cm
Answers
Answer:
x ≈ 68.8°
Step-by-step explanation:
The length of the arc of a sector is calculated as
arc = circumference × fraction of circle , that is
6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex] = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )
2160 = 10πx ( divide both sides by 10π )
68.7549... = x , that is
x ≈ 68.8° ( to 1 dec. place )
Which inequality represents this situation? The number of students, s, who ride in a bus is less than 30. A. S < 30 B. S > 30 C. S ≥ 30 D. S ≤ 30
Answers
Answer:
A.s<30
Step-by-step explanation:
We are given that
Number of students who ride in a bus=s
We have to find the inequality which represents the given situation.
According to question
s<30
A.s<30
It is true.
B.s>30
It is false because s is less than 30
C.[tex]s\geq 30[/tex]
It is false because s<30
D.[tex]s\leq 30[/tex]
It is false because s<30
Option A is true.
Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.
Answers
Answer:
I think the answer is 9/2
9, 3, 1, 7, 1, 44
Mean ??
Mode ??
Median ??
Answers
Answer:
Step-by-step explanation:
mean:[tex]\frac{65}{6}[/tex]
mode:1
median:5
Answer:
Mean: 10.83
Mode: 1
Median: 5
Step-by-step explanation:
I did mean as a decimal but you might have to change that if your teacher doesn't prefer it as decimals
Find the surface area of the cuboid shown below
Answers
Answer:
Surface area of cuboid = 352 cm
Step-by-step explanation:
Given that:
Height of cuboid = 8 cm
Length of cuboid = 12 cm
Width of cuboid = 4 cm
Surface area = 2lw + 2lh + 2hw
Putting all the values;
Surface area = 2*12*4 + 2*12*8 + 2*8*4
Surface area = 96 + 192 + 64
Surface area = 352 cm
Hence,
Surface area of cuboid = 352 cm
Can someone help please
Answers
Answer:
B
Step-by-step explanation:
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable
4x-y = 7
Answers
Answer:
no solutions
Step-by-step explanation:
i guess im
Part 1
Washington, DC, was warmer in February (4.3°F)than in December (44°F). Write an inequality for this relationship.
Answers
Answer:
Step-by-step explanation:
4.3 °F > 4 1/4 °F
Stella wnats to buy an atlas that costs 510, a novel that costs $8, and a comc that costs $6. She saved 516 from her pocket money. How much
more money does she need to save? What equation is correct?
Answers
Answer:
where are the equations
Step-by-step explanation:
m is how much more she needs to save
510+8+6=516+m
m=8
x-3y=7
2х-6у=12
Solve the following systems
Answers
Answer:
Step-by-step explanation:
this system doesnt have any solutions
if you multiply the first equation by 2 you will get
2x-6y=14
second equation is
2x-6y=12
the result will -12=14
no solutions
Given right triangle XYZ with altitude WZ, let WY = 10 cm and XY = 13 cm. Find the
length of WZ.
A.5.4
B.11.4
C.7.3
D.3
Answers
Make D the subject of s=d/t
Answers
Answer:
speed = distance/time
Step-by-step explanation:
jsjdkflxlc
What is the price of a $500 tv after a 20% discount?
