Answer:
Step-by-step explanation:
We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?
C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,
C = (3.14)(26) so
C = 81.64 m for a whole circle, and for half of that circle, the circumference is
C = 40.82 m
Now we can find the perimeter of the rink:
40.82 + 61 + 26 + 61 = p so
p = 188.82 m
If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is
[tex]cost=\frac{6.20dollars}{meter}*188.82meters[/tex]. The label "meter" cancels out, leaving us with
cost = $1170.82
Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5
Answer:
1st option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (9, - 1)
m = [tex]\frac{-1-7}{9-(-3)}[/tex] = [tex]\frac{-8}{9+3}[/tex] = [tex]\frac{-8}{12}[/tex] = - [tex]\frac{2}{3}[/tex] , then
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (9, - 1 ) , then
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - [tex]\frac{2}{3}[/tex] x + 5 ← equation of line
Maria's luggage travels 36 m in 3 minutes. What is the speed of the conveyer belt in kilometers per hour?
Answer:
0.72 km per hour
Step-by-step explanation:
First, find the speed in meters per hour. Create a proportion where x is this speed:
[tex]\frac{36}{3}[/tex] = [tex]\frac{x}{60}[/tex]
3x = 2160
x = 720
So, the speed is 720 meters per hour. Convert this to kilometers per hour by dividing 720 by 1000, since there are 1000 meters in a kilometer:
720/1000
= 0.72
So, the speed of the conveyer belt is 0.72 km per hour
A tin of paint covers a surface area of 50m2. Each tin costs £5.60. The entire surface of a solid cylindrical rod with diameter 8m and height 12m needs to be painted. Find the minimum cost of painting the rod. (NO NEED FOR EXLENATION)
the answer is in the picture
Hi! Please help me im really confused >.< tysm
g² - 4g = -3
Answer:
g = 1, 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Terms/CoefficientsFactoringSolving quadraticsStep-by-step explanation:
Step 1: Define
Identify
g² - 4g = -3
Step 2: Solve for g
[Addition Property of Equality] Add 3 on both sides: g² - 4g + 3 = 0Factor: (g - 1)(g - 3) = 0Solve: g = 1, 3Question 6 of 25
In APQR, m P= 60°, m_ Q = 30°, and m2 R = 90°. Which of the following
statements about APQR are true?
Check all that apply.
Answer:
A, E, F
Step-by-step explanation:
From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:
PR = 1/2 PQ which is just 2 PR = PQ(E)
PR √3 = QR (A)
We can substitute in PR from the first equation to the second to get:
√3/2 PQ = QR(F)
Graph the following inequality 6x-2y>8
Please help me and show me how to graph it.
Answer:
6x - 2y > 8
First, solve the inequality (Isolate the y-variable & put it in function format):
[tex]6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4[/tex]
Second, graph the function y = 3x - 4 on the graph.
It should be linear.Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.Third, shade in the area below the line(where y-values are smaller).
Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 190190190 centimeters tall. She measured it once a year and found that it grew at a constant rate. 333 years after she moved into the house, the tree was 274274274 centimeters tall.
Answer:
I know the answer...
Step-by-step explanation:
but i dont know the question (i also dont know how to comment so i have to do it as an answer)... thanks
complete the equation: x^2-14x + __ = (__)^2
a. -14; x+14
b. -14; x-14
c. 49; x-7
d. 49; x+7
Answer:
C. 49, x-7
Step-by-step explanation:
(A+B)^2 = A^2 + 2AB + B^2
-14x = 2*A*B
where A=x
Therefore B=-7
and (x-7)^2=x^2-14x+49
Find the volume
Help me please
Answer:
1372/3 π
that's the volume
Triangle SKY with vertices S(-7, 2), K(-1,8), and Y(-2,1) undegoes a reflection with new corrdinates S'(-7,-2), K'(-1, -8), and Y'(-2,-1). Name the line of reflection.
Step-by-step explanation:
reflection under
x-axis
hope this will help you
The line of reflection is given as x-axis.
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
The coordinates of the triangle SKY before and after reflection are given as below,
S(-7, 2) → S'(-7, -2)
K(-1, 8) → K'(-1, -8)
Y(-2, 1) → Y'(-2, -1)
It is clear from the transformed coordinates that the x coordinates are the same but y-coordinate changes.
Thus, the reflection is about x-axis.
Hence, the line of reflection is x-axis.
To know more about transformation of graph click on,
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The following figures are parallelogram. find X and y
==============================================================
Explanation:
For any parallelogram, the diagonals always cut each other in half.
This means the pieces that are y+5 and 18 cm long are equal
y+5 = 18
y = 18-5
y = 13
And so are the pieces that are x+y and 16 cm long
x+y = 16
x+13 = 16
x = 16-13
x = 3
Side note: the term "bisecting" is often used when saying "cutting in half".
Find the value of X (plz answer quick)
Answer:
let:
4x-9=2x+3
4x-2x=3+9
2x=12
x=12/2
x=6 Ans
What are the restrictions on the domain of the following function?
f(x)=x-3/(x-3)(x-4)(x-5)
Answer:
Step-by-step explanation:
C
Whoever gives answer gets brainliest asap
Answer:
m=y2-y1/x2-x1 ⇒ m=-48+64/-15+21
m=16/6=8/3
y-y1/x-x1= m⇒ 8/3=y+64/x+21
8x+168=3y+192
3y=8x-24
x-intercept
3(0)=8x-24
x=24/8 →x=3
x-intercept: (3,0)
OAmalOHopeO
Express 2x^2-12x-7 in the form a(x+b)^2+c
Answer:
2(x - 3)^2 - 25.
Step-by-step explanation:
2x^2-12x-7
= 2(x^2 - 6x) - 7
= 2[(x - 3)^2 - 9] - 7
= 2(x - 3)^2 - 18 - 7
= 2(x - 3)^2 - 25.
ANSWER ASAP ILL MARK BRAINLIEST!!!!
find all the real zeros of the quadratic function.
f(x)=2x²-6x-1
Answer:
[tex]2 {x}^{2} - 6x - 1 = 0 \\ a = 2 \: \: \: b = - 6 \: \: \: c = - 1 \\ \\ x = \frac{6\binom{ + }{ - } \ \sqrt{ {6}^{2} - 4(2)( - 1)} }{2 \times 2} \\ \\ x = \frac{6 \binom{ + }{ - } \sqrt{44} }{4} \\ x = \frac{6 + \sqrt{44} }{4} \\ \\ or x = \frac{6 - \sqrt{44} }{4} [/tex]
I hope that is useful for you :)
wat iz dis bul crup
i was literally THE hardest math problem EVER
Answer: 289,952,278
Step-by-step explanation: Big brain
Lyon walked 3/4 mile from school to the soccer field.
He then walked 1/6 mile home.
About how many miles did Lyon walk?
Answer:
11/12 miles Lyon walk.
Step-by-step explanation:
3/4 -> 9/12
1/6 -> 2/12
9 + 2 = 11
The solution is :about 11/12 miles Lyon walk.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
Lyon walked 3/4 mile from school to the soccer field.
He then walked 1/6 mile home.
now, we have to find that,
About how many miles did Lyon walk
so, we need to add the both distance
i.e. 3/4 + 1/6
so, we have,
3/4 -> 9/12
1/6 -> 2/12
so, we get,
9 + 2 = 11
i.e. 3/4 + 1/6
= 9/12 + 2/12
=11/12
Hence, about 11/12 miles Lyon walk.
To earn more on addition click:
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How many distinguishable permutations for the letters in the word "statistical" are there?
You can use the same reasoning as I provided on your other question (URL 24277817).
"statistical" has 11 total characters, thus 11! total permutations.
• s, a, and i each appear 2 times
• t appears 3 times
Then the number of distinguishable permutations is
11! / (2! × 2! × 2! × 3!) = 831,600
Which expression is a sum of cubes
Answer: what is the rest of the question?
Step-by-step explanation:
Identify the segments that are parallel, if any, if ∠DCB and ∠CDA are supplementary.
Answer:
C
Step-by-step explanation:
We are given that
[tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.
We have to identify the parallel segments if [tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.
Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.
Therefore,
[tex]\angle DCB+\angle CDA=180^{\circ}[/tex]
Therefore, angle DCB and angle CDA are interior angles .
Because CA is a transversal line and sum of interior angles is 180 degrees.
When the sum of interior angles formed between two lines and on same side of transversal line is 180 degrees. Then the lines are parallel.
Therefore, angle DCB and angle CDA are formed between line AD and BC.
Hence, AD is parallel to BC.
Option C is correct.
Answer:
c
Step-by-step explanation:
i had the same question
Which value is equivalent to x +4/4+x?
–4
–1
1
4
Please help!!
Take a factor out of the square root:
Answer:
2a times the sq root of 2a or 2a (2a)**1/2
Step-by-step explanation:
(8a**3)**1/2 =
((2**2 * 2) (a**2) (a))**1/2 then take out and squares
2a (2a)**1/2
or 2a times the sq root of 2a
The radius of the circle below intersects the unit circle at (3/5 • 4/5)What is the approximate value of e?
Answer:
do you have a pic of it but i think its 15.75
Step-by-step explanation:
need help solving the equation, trying to figure whether I multiply or divide.
Answer:
m∠B = 43°
b = 26.1
c = 38.3
Step-by-step explanation:
By applying triangle sum in the given triangle,
47° + 90° + m∠B = 180°
137° + m∠B = 180°
m∠B = 43°
By applying sine ratio to the angle measuring 47°.
sin(47°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{28}{c}[/tex]
c = [tex]\frac{28}{\text{sin}(47^{\circ})}[/tex]
c = 38.28
c ≈ 38.3
By applying cosine rule,
cos(47°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{b}{c}[/tex]
= [tex]\frac{b}{38.3}[/tex]
b = 38.3[cos(47°)]
b = 26.1
Please can someone help me with this question?
9514 1404 393
Answer:
C. f^-1(x) = (x +4)^2; x ≥ -4
Step-by-step explanation:
The range of the given function f(x) is -4 ≤ f(x). This will be the domain of the inverse function.
We find the inverse function by solving ...
x = f(y)
x = √y -4
x +4 = √y
(x +4)^2 = y
The inverse function is ...
f^-1(x) = (x +4)^2 . . . for x ≥ -4
1 point (1) Three times a number minus two times a number* Your answer
Answer:
Three times a number minus two times a number
3x-2x
=x
How do I do this question
Answer:
Graph:
Solution: (1, 1)
Check:
y = -3x +4
1 = -3 +4
1 = 1
y = 3x -2
1 = 3 -2
1 = 1
Would this be 20? I'm confused on what the problem is asking here.
Answer:
This would not be 20
Step-by-step explanation:
This question can be thought as a Pythagoras question.
By subtracting 2cm from both the left side ZW, and the right side YX, you will have a right angled triangle WYX (or ZYX, since after subtracting 2cm Z and W are essentially the same point)
I have attached a crude drawing of what the triangle is looking like, we are looking for the unknown value marked with the ?
Pythagoras states that [tex]a^{2} +b^{2} =c^{2}[/tex]
We are given the lengths 2cm and 20cm, which can be thought of as a (or b) and c. Substitute in the values 2 and 20 and solve for the unknown
For the function f(x) = -4^-x + 5, if x→∞, then y → ____.
y approaches 5.
As x approaches infinity, -4^(-x) approaches 0.
0 + 5 = 5