Find the perimeter RST. Round answer to the nearest tenth. Show all the work !!!
Answers
Given:
The figure of a triangle RST on a coordinate plane.
To find:
The perimeter of the triangle RST.
Solution:
From the given graph it is clear that the vertices of the given triangle are R(-2,7), S(-5,1) and T(-7,-5).
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{\left(-5-\left(-2\right)\right)^2+\left(1-7\right)^2}[/tex]
[tex]RS=\sqrt{\left(-5+2\right)^2+\left(1-7\right)^2}[/tex]
[tex]RS=\sqrt{\left(-3\right)^2+\left(-6\right)^2}[/tex]
on further simplification, we get
[tex]RS=\sqrt{9+36}[/tex]
[tex]RS=\sqrt{45}[/tex]
[tex]RS=3\sqrt{5}[/tex]
Similarly,
[tex]ST=\sqrt{\left(-7-\left(-5\right)\right)^2+\left(-5-1\right)^2}[/tex]
[tex]ST=2\sqrt{10}[/tex]
[tex]RT=\sqrt{\left(-7-\left(-2\right)\right)^2+\left(-5-7\right)^2}[/tex]
[tex]RT=13[/tex]
Now, the perimeter of the triangle RST is
[tex]Perimeter=RS+ST+RT[/tex]
[tex]Perimeter=3\sqrt{5}+2\sqrt{10}+13[/tex]
[tex]Perimeter=26.032759[/tex]
[tex]Perimeter\approx 26.0[/tex]
Therefore, the perimeter of the triangle RST is 26.0 units.
Related Questions
Find the measure of the indicated angle to the nearest degree (Image Attached)
Answers
Answer:
Y = 31.9° (rounded to 3 significant figures)
f(x) = 9x+7
find 20-3)
09c + 7
0 18c + 20
18c + 7
O -
180 - 20
Someone help?
Answers
Answer:
18c - 20
Step-by-step explanation:
substitute 2c - 3 into x,
f(2c - 3) = 9(2c - 3) + 7
=> f(2c - 3) = 18c - 27 + 7
=> f(2c - 3) = 18c - 20
Select ALL choices that are zeros of this function y=x2 +12x +32
Answers
Answer:
{-8, -4}
Step-by-step explanation:
Rewrite this function y=x2 +12x +32 as y = x^2 + 12x + 32; " ^ " indicates exponentiation.
Set this x^2 + 12x + 32 equal to zero (to find the zeros):
x^2 + 12x + 32 = 0. Let's solve this using the quadratic formula, which applies when ax^2 + bx + c = 0:
-b ± √(b^2 - 4·a·c)
x = -------------------------------
2a
The coefficients of the given quadratic are {1, 12, 32}. Thus, the discriminant is
b^2 - 4ac, or 12^2 - 4(1)(32), or 144 - 128, or 16. Therefore, we have:
-12 ± √16 -12 ± 4
x = -------------------- which simplifies to: x = --------------- = { -8, -4}
2 2
The zeros are {-8, -4}
Word Phrase
Algebraic expression
10 more than the product of 3 and x
9 less than the quotient of n and 5
8 times the product of 5 and t
3 times the sum of x and 5
A state park charges a $6.00 entry fee plus
$7.50 per night of camping.
Answers
Answer:
3x + 10
n/5 -9
8(5t)
3(x + 5)
6 + 7.5n
Please let me know if you have questions about these. I’m happy to try to explain.
The body of a dump truck is raised to empty a load of sand. How high is the 14-foot-long body from the frame when it is tipped upward by a 60° angle?
Answers
Answer:
12.12 feets
Step-by-step explanation:
Based on the attached diagram, we can apply trigonometric rule to obtain h :
Sinθ = opposite / hypotenus
Opposite = h
Hypotenus = 14
Sin 60 = h / 14
0.8660254 = h / 14
h = 0.8660254 * 14
Height, h = 12.12 feets
A rectangular prism has a width of 5cm, a height of 8 cm and a depth of 10cm. What is the volume of the prism
Answers
Answer:
400
Step-by-step explanation:
5 x 8 x 10 = 40 x 10 = 400
Answer:
400
Step-by-step explanation:
adding 5 and subtracting 5 are____
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Answer:
I do not understand
Step-by-step explanation:
Answer:
This question makes no sense but they cancel out
Step-by-step explanation:
pls help ill give brainliest if correct
no scams or links
Answers
Answer:
3rd one. Amsterdam is the same distance from sea level as Drachten.
Step-by-step explanation:
because Amsterdam is 2 below, and drachten is 2 above, but they are both 2 meters away from the sea level.
PLZ I NEED HELP NOW!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
Answer:
20 divided by 2 = 10
10 x 1/4 = 10/4 = 2 2/4 = 2 1/2
Ken makes 75 cookies. He gives 35 of them to his classmates and 13 of them to his teachers. He brings the rest home. He brings home
cookies.
Answers
So ken would bring home 27 cookies
which of the at eight o'clock, which of is the angle between the hour and the minute hands
Answers
Answer:
At 8 o'clock angle between the two hands is 120 degree.
Step-by-step explanation:
For even hours, it’s easy. There are 12 numbers on the 360 degree clock face so each number is 30 degrees. Now, if you are after 6 then “the angle” is the other way so for 8:00, 12–8 = 4*30 = 120 degrees.
The problem comes in when you are not at an even hour. At, say, 8:20, the minute hand has moved 120 degrees and the hour hand has moved 1/3 of 30 or 10 degrees so, the angle is now 8*30 - 4*30 + 10 = 240 - 120 +10 = 130 degrees.
At 8:40 the minute hand has moved 8*30 = 240 degrees and the hour hand has moved 2/3 of 30 or 20 degrees so the angle is now 8*30 - 8*30 + 20 = 20 degrees
In circle A, marc BC is 67° and marc EF is 74°:
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Answers
Answer:
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Step-by-step explanation:
just took the test
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Answers
Answer:
(8, 2)Step-by-step explanation:
Initial point is: (x, y) = (8, 3)
When you move up or down, you change the y-coordinateWhen you move left or right you change the x-coordinateMove down 1 unit:
(x, y) → (x, y - 1)The new point is:
(8, 2)Think About the Process What is true about a figure and an image created by a translation? The
vertices of parallelogram GRAM are G(-9, -9), R(-8, -6), A(-4,-6), and M(-5, -9). Graph
GRAM and G'R'A'M', its image after a translation 11 units right and 2 units up.
What is true about a figure and an image created by a translation? Select all that apply.
A. Each point in the image moves the same distance and direction from the figure.
B. The figure and the image are the same size.
C. Each point in the image has the same x-coordinate as the corresponding point in the figure.
OD. The figure and the image are the same shape.
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Answers
Answer:
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Step-by-step explanation:
A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service. If a passenger has $20, how many minutes can he travel in the taxi?
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 42 minutes
Explanation:
0.40x + 3.20 = 20
0.40x = 16.8
x = 42 minutes
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
hello please help i’ll give brainliest
Answers
Answer:
a is the answer I guess.
(-2)÷50
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!
Answers
Answer:
J
Step-by-step explanation:
i looked it up on a graphic calculator, just trust me lolz
good luck!!!
Tyler owned the librarian late fees he had to pay a 3% fee on the cost of the books, which was $35.62. What was he charged for a late fee?
Answers
Answer:
$1.07 for the late fees.
Step-by-step explanation:
You can find the fee for this price by finding 3% of the $35.62 (total cost of the books). You can find this number by multiplying (35.62*.03).
35.62*.03
1.0686
Round up because you cannot have part of a cent.
$1.07 for the late fees.
f(x)=2x-8 find a function help ;-;
Answers
(I think this is the answer)
A bathtub can hold 66 galons of water. The faucet adds 5.5 gallons of water to the bathtub evvery minute. Find out how many minutes it takes to fill the empty bathtub. WRITE EQUATION YOU USED!
Answers
Answer: 12 minutes
Step-by-step explanation:
66/5.5
12 minutes
Answer:
12 min
Step-by-step explanation:
5.5 t=66
t=66/5.5=660/55=12 minutes
uhmm...hi... can someone plss answer this...
plss don't waist ma póints.
Answers
1: 6, because both are congruent
2: 14, because if half is seven then the whole line is double.
3: (Sorry, I’m not sure on this one).
4: Right triangle
5: 42, because A = (xy) / 2
So HT=6
2) a kite’s diagonals are perpendicular so GH= 7
7+7=14
3)AMH divides into two equal parts so we divide by 2
35/2 = 17.5
17.5
4)scalene triangle
5)area = 0.5 d1xd2
0.5 x 12x 7=42
Hello please help me, i am in middle school, i failed two classes last semester and i failed one class this semester, will i flunk?
Answers
Answer:
u should be fine. if anything summer school should help you. college does not care about your middle school grades but you should try your hardest to pass. You have to at least pass
Step-by-step explanation:
Find the value of 4!
O A. 24
O B. 16
O C. 12
O D. 10
Answers
Answer:
A) 24
Step-by-step explanation:
4!
4 x 3 x 2 x 1
24
The Answer choices are either
45
95
50
90
Answers
The answer would be 95
please help me............
Answers
Answer: 167* and 562*
Step-by-step explanation: 62x72x89x57x81x93x75x8=167//562
The dimensions of Jared's classroom are shown in the diagram.
12 m
4 m
6 m
4 m
2 m
8 m
What is the area of the classroom?
A. 36 m2
B. 48 m2
OC.-64 m2
OD. 72 m2
Answers
Answer:
64 m2
Step-by-step explanation:
12x6=72m2
2x4=8m2
72-8=64m2
The area for the given dimensions of Jared's classroom is, 64 m²
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
The dimensions of Jared's classroom are,
12 m, 4 m, 6 m, 4 m, 2 m, 8 m
we can divide the area of classroom in two parts,
first A₁, having side lengths of 6 m & 8 m
second A₂, having side lengths of 4 m & 4 m
Jared's classroom area = A₁ + A₂
A₁ = 6 × 8
= 48
A₂ = 4 × 4
= 16
A = A₁ + A₂
= 16 + 48
= 64
The area of classroom is 64 m²
To learn more about Area check:
https://brainly.com/question/16151549
#SPJ2
im confused again please help
Answers
I think the answer is A.CMIIW
The scatter plot shows the number of tickets sold and the price of the tickets.
Using the trend in the scatter plot, about how much will people pay for a ticket If 50 tickets are sold?
A.$50
B.$41
C.$25
D.$5
Answers
Answer:
5$
Step-by-step explanation:
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.6 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answers
Answer:
41.6 centimeters
Step-by-step explanation:
The right triangle formula: c^2 = a^2 + b^2
c is the hypotenuse side of the triangle
a and b are the legs of the triangle.
Find the hypotenuse : c^2 = (24)^2 + (34)^2
c = square root of ( (24)^2 + (34)^2)
c = square root of ( 576 + 1,156)
c = 41.6173