What is the perimeter of parallelogram RSTU, rounded to the nearest whole number?
Answers
Given:
The vertices of the parallelogram RSTU are R(-4,4), S(2,6), T(6,2) and U(0,0).
To find:
The perimeter of parallelogram RSTU, rounded to the nearest whole number.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get
[tex]RS=\sqrt{(2-(-4))^2+(6-4)^2}[/tex]
[tex]RS=\sqrt{(6)^2+(2)^2}[/tex]
[tex]RS=\sqrt{36+4}[/tex]
[tex]RS=\sqrt{40}[/tex]
[tex]RS=6.32[/tex]
Similarly,
[tex]ST=\sqrt{\left(6-2\right)^2+\left(2-6\right)^2}[/tex]
[tex]ST\approx 5.66[/tex]
[tex]TU=\sqrt{\left(0-6\right)^2+\left(0-2\right)^2}[/tex]
[tex]TU\approx 6.32[/tex]
[tex]RU=\sqrt{\left(0-\left(-4\right)\right)^2+\left(0-4\right)^2}[/tex]
[tex]RU\approx 5.66[/tex]
Now, the perimeter of the parabola is:
[tex]P=RS+ST+TU+RU[/tex]
[tex]P=6.32+5.66+6.32+5.66[/tex]
[tex]P=23.96[/tex]
[tex]P\approx 24[/tex]
The perimeter of the parallelogram RSTU is 24 units.
Therefore, the correct option is C.
Note: Unit of perimeter cannot be in square.
Related Questions
Plsss answer this quick question!!
Answers
Answer:
D
Step-by-step explanation:
i would say D because in the hall she would still be able to see the people where as if they are on a piece of paper in a box she cant see who will be drawn.
Answer:
B.
Step-by-step explanation:
A. Incorrect because it’s unreasonable.
C. Incorrect because why would a teacher pull 2 students from a completely different class to read?
D. Incorrect because does a teacher do that just to ask 2 students to do something simple?
B. The most reasonable answer that most teachers will do.
A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.
Answers
Number Frequency Probability
1 4 0.13
2 6 0.20
3 5 0.17
4 7 0.23
5 3 0.10
6 5 0.17
total 30 1.00
To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.
5/30 = 1/6 or 0.166 or 16.6% or 17%.
12 divided by 1 1/5 plz hurry asap
Answers
Answer:
10
Step-by-step explanation:
Answer:
10 :)
Step-by-step explanation:
12 divided by 1 1/5 is the same as:
It is always easier to convert the fraction into a decimal:
like we converted 1/5 into .20.
[tex]\frac{12}{1.2}[/tex]=10
A question you can ask yourself is:
How many times can you multiply 1.2 to get 12?
1.2*10=12.
Hope it helps! :))
HELLO CAN SOMEONE HELP ME! MATH :) NO FAKE ANSWERS PLS :D
Answers
Answer:
60 cm²Step-by-step explanation:
The area is:
A = 12*6 - 3*4 = 60 cm²Answer:
[tex]60cm {}^{2} [/tex]
i will give Brainiest if you are right
Answers
Answer:
i think the answer is C
Paula is draining her fish tank.
When she starts draining it, the height of the water is 33 cm.
Six minutes later, the height of the water is 15 cm.
Question: If the water continues to drain
at this rate until it is empty, how many
total minutes will it take Paula to drain
her fish tank?
Answers
Answer:
If the water continues to drain at this rate, it would take 11 total minutes for Paula to drain her fish tank.
Step-by-step explanation:
In 6 minutes, she is able to drain 18 cms of her fish tank, so in 1 minute, she would be able to drain 3 cms of her fish tank. 15 divided by 3 is 5, so it would take 5 minutes to drain the rest of her fish tank. But it is asking for the total amount so 5 plus 6 is 11 total minutes.
Solve the compound inequality.
7x>-35 and -5x ≥ -50
A. -5< x≤10
B. -5≤x≤10
C. 5≤x≤10
D. 5>x≤10
need help
Answers
Answer:
A. -5< x≤10
Step-by-step explanation:
7x>-35 and -5x ≥ -50
7x>-35
x>-5
-5x ≥ -50
x≤ 10
so, the result is:
-5< x ≤10
Simplify: [3(2a)3/2] 2
Answers
Answer:
2=18a
Step-by-step explanation:
If 3x + 10 = 10 + 2x, what is the value of x?
A) x = 4
B) x = -4
C) x = -1
D) x = 0
Answers
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Question 6
In triangle ABC, what is the measure of angle C if A = 85°, a = 35, and c = 15?
Round the answer to the nearest hundredth.
Answers
Answer
36.45?
Step-by-step explanation:
I think you just divide 85 by 35 and multiply 15 with that answer. 85/35 = 2.43
15x2.43 = 36.45
What would be the 12th number in the following pattern: 1,1,2,3,5,8,13,21…?
Answers
Answer:
I believe its 34
Step-by-step explanation:
because for example the first 2 numbers are both 1 and 1 + 1 is 2 which is the 3rd number and 13 + 21 is 34 I really hope this helped
ANSWER:
144
Which of the following expressions has the greatests value?
Answers
I REALLY NEED HELP , “ a company is designing a new cylindrical water bottle. the volume of the bottle will be 207 cm *to the 3rd power* the height of the water bottle is 8.4 cm. what is the radius of the water bottle?”
Answers
Answer:
Radius, r = 2.80 cm
Step-by-step explanation:
Given the following data;
Volume of cylinder = 207 cm³
Height = 8.4 cm
Pie, π = 3.14
To find the radius of the water bottle;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a cylinder.
r represents the radius of the cylinder.
h represents the height of the cylinder.
Substituting into the formula, we have;
207 = 3.14 * r² * 8.4
207 = 26.376r²
r² = 207/26.376
r² = 7.85
r = √7.85
Radius, r = 2.80 cm
Can I get numbers 1,2,3,4,5 please
Answers
Answer:
Step-by-step explanation:
5566.89
675.98
78.89
someone help
NO LINK IM SO FR NO LINKS
Answers
Answer:
I think iit's no consistent
Step-by-step explanation:
no consistent because there is no multiplying happening and no consistent adding happening
Write the absolute value equation that is represented by the graph
Answers
Answer:
y = |x + 2| - 5
Step-by-step explanation:
Mandy works part-time to earn money for a trip. The amount she saves after working x hours is given by the equation y=7.5x+40. How much does Mandy earn per hour?
Answers
[tex]y = 7.5x + 40 \\ y = 7.5(1) + 40 \\ y = 7.5 + 40 \\ y = 47.5[/tex]
[tex]mandy \: earns \: 47.5 \: per \: hour[/tex]
look at the table below. what is the constant change? ( I put 2 and was marked wrong, and the answer can't be in a fraction form).
Answers
Answer:
1/2Step-by-step explanation:
Use two points:
(4, 2) and (8, 4)The slope is:
m = (4 - 2) / (8 - 4) = 2/4 = 1/2Constant change is the slope, which is 1/2
Answer:
by taking two points
(4,2). & (12,6)
now slope
m=[tex] \frac{6- 2}{12 - 4} = \frac{4}{8}=\frac{1}{2} [/tex]=0.5
Samir bought 3 pounds of cement to repair the cracks in his sidewalk.
Each crack needs to be filled with 2 ounces of cement.
Answers
Answer:
The answer is 24 cracks will be filled
Step-by-step explanation:
hope it helps :3
16 ounces in a pound. convert pounds to ounces
calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.
The amount of cracks to be filled : 48 /2 = 24 cracks
Can anyone help? I’ll give Brainly! Thank you :)
Answers
==============================================================
Explanation:
f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.
x^2-2x+3 = -6x
x^2-2x+3+6x = 0
x^2+4x+3 = 0
(x+3)(x+1) = 0 .... see note below
x+3 = 0 or x+1 = 0
x = -3 or x = -1
Note: 3 and 1 multiply to 3, and also add to 4.
---------------------
Once we get the x values, we plug them into either equation to find the y value.
So if x = -3, then
f(x) = x^2-2x+3
f(-3) = (-3)^2-2(-3)+3
f(-3) = 9 + 6 + 3
f(-3) = 18
or we could say
f(x) = -6x
f(-3) = -6(-3)
f(-3) = 18
Both versions produce the same output when x = -3.
The second version is easier to work with.
Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.
-----------
We'll use this idea for x = -1 now
f(x) = x^2-2x+3
f(-1) = (-1)^2-2(-1)+3
f(-1) = 1 + 2 + 3
f(-1) = 6
or we could say
f(x) = -6x
f(-1) = -6(-1)
f(-1) = 6
Like before, both versions of f(x) produce the same output when the input is x = -1.
The other solution is (-1, 6)
Both sides of an equation can be multiplied by the same number without changing the solution of the equation.
Answers
Answer:
Just as you can add or subtract the same exact quantity on both sides of an equation, you can also multiply both sides of an equation by the same quantity to write an equivalent equation. Let's look at a numeric equation, to start.
Step-by-step explanation:
The nth term of a number sequence is n2-3
(a) Find the 4th term of this sequence.
b) Show that 40 is not a number in this sequence.
Answers
Here's the solution,
nth term = n² - 3
So, 4th term :
=》(4)² - 3
=》16 - 3
=》13
4th term of the sequence is 13
now, let's assume that 40 is a number in the sequence, then
=》40 = n² - 3
=》40 + 3 = n²
[tex]n = \sqrt{43} [/tex]
but, the term of the sequence should be a natural number, so our assumption was wrong, hence 40, can't be a number of this sequence.
How to find y intercept without a graph HELP
Answers
Answer:
You need to use the graph's equation and find the answer of y when x is 0 as this will give y when it is on the y axis.
To do this, substitute in 0 were x is in the equation and you will find the y intercept
should i commit sucide??????????????
Answers
Answer:
no
Step-by-step explanation:
1. I will pray for you
2. God is watching
Mr. Claussen needs a total of 15 pounds of ground beef to make hamburgers for a company picnic. He finds that 2 pounds of ground beef cost $4.40.At this rate, how
much should Mr. Claussen plan on spending for the 15 pounds of ground
beef?
A $66.00
B. $33.00
C. $19.40
D. $2.20
Answers
Answer: your answer should be 33.00/B
Step-by-step explanation:
Because u need to divide 15 by 2 = 7.5
Then Times that my 4.40
U get 33 dollar
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answers
Answer:
It's Tan.
Multiple Thumbs-up ^_^
What do I put in 1,2,3,4,5,6 I need help plz timed test
Answers
Answer:
The value of x = 6.5 units
Step-by-step explanation:
Given triangle is a right angle triangle;
Length of base = 2.5 unit
Length of perpendicular = 6 unit
Find:
The value of x
Computation:
Using Pythagoras theorem;
Hypotenuse² = Base² + Perpendicular²
Hypotenuse² = 2.5² + 6²
Hypotenuse² = 6.25 + 36
Hypotenuse² = 42.25
Hypotenuse = √42.25
Hypotenuse = 6.5 unit
The value of x = 6.5 units
ASAP PLEASE HELP FAST if you can do any of them please do
Answers
Answer:
Number 7: D. 378 ft
And I'm Not Sure About The Others
Step-by-step explanation:
Answer:
question 8 : 157 m²
Step-by-step explanation:
cone volume:. π×r²×h/3
3,14×25×6/3 = 157 m²
Determine whether AB is tangent to the circle with center c
Answers
9514 1404 393
Answer:
yes, no, no
Step-by-step explanation:
The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.
__
a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent
__
b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent
__
c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent
Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?
Answers
Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.