Answers
Answer:
[tex]\text{A) }68\:\mathrm{cm}[/tex]
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a [tex]90^{\circ}[/tex], creating right triangles [tex]\triangle TOP[/tex] and [tex]\triangle SOP[/tex].
The Pythagorean Theorem states that the following is true for any right triangle:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the triangle
Thus, we have:
[tex]10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24[/tex]
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
[tex]TP=SP=24[/tex][tex]TO=SO=10[/tex]Thus, the perimeter of the quadrilateral PTOS is equal to [tex]24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}[/tex]
Answer:
the other one should get a brainliest.
I'm just answering to make it technically possible.
Related Questions
Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores
Answers
Answer:
The mean absolute deviation is: 7.44
Step-by-step explanation:
Given
[tex]Scores: 98, 78, 84, 75, 91[/tex]
Required
The mean absolute deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{98+78+84+75+91}{5}[/tex]
[tex]\bar x = \frac{426}{5}[/tex]
[tex]\bar x = 85.2[/tex]
The mean absolute deviation (M) is:
[tex]M = \frac{1}{n}\sum|x - \bar x|[/tex]
So, we have:
[tex]M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)[/tex]
[tex]M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)[/tex]
Remove absolute brackets
[tex]M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)[/tex]
[tex]M = \frac{1}{5}*37.2[/tex]
[tex]M = 7.44[/tex]
a b and c of a right angled are in the ratio 7:18:11
the smallest angle is 35
work out angles a b and c
Answers
Answer:
a=35° b=90° c=55°
Step-by-step explanation:
7:18:11
total ratio=7+18+11
=36
The smallest angle(a)
7/36 x s=35
7s/36=35
7s=35x36
7s=1260
7s/7=1260/7
s=180°
second angle (b)
18/36x180
=90°
third angle (c)
11/36x180
=55°
Please help I’ll give brainliest
Answers
Answer:
33
Step-by-step explanation:
The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33
how many solutions are there to the system of equations graphed below if the lines are parallel ?
Answers
A. Zero
They're parallel so they will never intersect therefore: no solutions :]
On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =
Answers
Answer:
5
just took the test
Answer:
Step-by-step explanation:
its 5
This is my hw. heelp
Answers
Answer:
1/14
Step-by-step explanation:
Question 1 of 5 Shelley has a bag containing three balls: one red, one yellow, and one green. All balls are equally likely to be chosen. Shelley will choose one ball without looking in the bag. What is the probability that Shelley will choose the yellow ball out of the bag?
Answers
Answer:
1/3=33 1/3%
Step-by-step explanation:
Since there is 3 balls.
Please help me i'm struggling!
Answers
Answer:
c
Step-by-step explanation:
Answer:
x is greater than or equal to 3
So it is the first answer.
Which linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
Answers
Answer:
y minus 9 = negative 2 (x + 1)
Step-by-step explanation:
i put it onto desnos graphing calculater and thats what i got
Answer:
A
Step-by-step explanation:
bannana
Please help me I would really appreciate it, If you can't that is okay but please try!
Answers
Answer:
Either A or B
Step-by-step explanation:
Its not C or D sorry I couldn't be much help, but I hope that makes it a bit easier?
please help me with this .
Answers
Answer:
20:1
Step-by-step explanation:
every 20 dollar she spends she save 1 dollar
What is the exponent for the expression 6 x 6 x 6 x 6 x 6?
Answers
Answer:
6^5
Step-by-step explanation:
Answer: 6^5
Step-by-step explanation:
I NEED HELP PLEASE ITS A SOLVE FOR X PROBLEM :(
Answers
Answer:
x = 4
Step-by-step explanation:
6(6 + x) = 5(5 + x + 3) => secant secant theorem
36 + 6x = 5(8 + x)
36 + 6x = 40 + 5x
Subtract 36 from each side
36 + 6x - 36 = 40 + 5x - 36
6x = 4 + 5x
Subtract 5x from each side
6x - 5x = 4 + 5x - 5x
x = 4
calculate the amount that will be in the bank after 4years if R3500 was invested at 9% p.a. simple interest
Answers
Answer:
4760
Step-by-step explanation:
Simple interest= principal× time ×rate/100
=3500×4×9/100
= 1260
Amount that will be in the bank after 4years= 3500+1260
=4760
Find the value of x
Answers
Answer:
X+6+2x=180
6+3x=180
3x=172
x=57 1/3
The sum of two consecutive integers is at least 36. What does the equation look like and what is the least possible pair of integers?
A.x+x+1≤36
18 and 17
B.x+x+1≥36
17 and 19
C.x+x+1≥36
18 and 19
D.x+x+1≤36
18 and 18
Answers
Answer:
The answer is B
Step-by-step explanation:
the ans has to be 36 or more. so A and D can't B the answer. amongst B and C the lowest possible value is B - 36. so 36 is the answer
Find the area of the triangle on problem #7 and what statement in true for the triangle on #8
Answers
Answer:
Step-by-step explanation:
Using the pythagorean theorem, a^2+b^2=c^2
32/2=16, 20 would be the hypotenuse, so it would be 20^2-16^2=a^2 because we want to find the middle line. 400-256=144. sqrt(144) = 12.
Then since it is an isosceles triangle, we can simply do 12*16=192
The answer for 7 is 192ft^2
For #8, the answer is short leg * sqrt(3) = long leg
On another note, you can find the hypotenuse of a 30-60-90 triangle by doubling the shortest leg
Find the circumference of a circle with radius, r = 6.5m.
Give your answer in terms of pie
Answers
Answer:
13π m
Step-by-step explanation:
circumference of a circle = 2πr
=2*π*6.5
=13π m
Answer:
13[tex]\pi[/tex] m
Step-by-step explanation:
The formula for circumference is 2r[tex]\pi[/tex], so...
2r[tex]\pi[/tex]
2(6.5)[tex]\pi[/tex]
=13[tex]\pi[/tex]
given m||n, find the value of x
Answers
Answer:
170º
Step-by-step explanation:
The angles are supplementary
x = 180 - 10
x = 170
Find the surface area plzzzzzz
Answers
Answer:
184 m²
Step-by-step explanation:
Surface Area = 2(10*2) + 2(10*6) + 2(2*6)
Surface Area = 2(20 + 60 + 12)
Surface Area = 2(92)
Surface Area = 184 m²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
For each steak, lobster, or chicken dinner in a restaurant, you have a choice of french fries or mashed potatoes. You get a choice of Water or Iced Tea to drink. If all combinations are equally likely to be ordered, find the sample space of the possible outcomes.
Answers
Please help I’ll give brainliest
Answers
Answer:
B. $1650
Step-by-step explanation:
the middle share = 3/(2+3+5) × $5500
= 3/10 × $5500 = $1650
does anyone know the answer for his ?
Answers
Part A
Whose scatter plot matches the data, and what is wrong with the incorrect scatter plot?
Answers
Answer: hello your question has some missing data attached below is the missing data
answer:
The second scatter plot
Step-by-step explanation:
The scatter plot that matched the data is the second scatter plot while the first scatter plot wrongly represents the data because values of the Iron not present in the data is also represented in the scatter plot and also some values present in the data table is also missing in the First scatter plot
Answer:
Hello, I am currently doing the same assignment and the brothers scatter plot would be wrong.
Step-by-step explanation:
If you do not believe me then check and see how the table says the iron used were 2, 3, 4, 5, 6, 7, 8, and 9 but in the brothers scatter plot it is shown to have the irons down as 1, 2, 3, 4, 5, 6, 7, and 8.
(in other words the other person who answered is correct)
Brian decided to start a dog-walking service. He's going to charge each dog owner $4.50 to walk one dog and $6.75 to walk two dogs. Approximately how much will he earn if he walks 13 single dogs and 9 sets of two dogs?
Answers
Answer:
$119.25
Step-by-step explanation:
13 × 4.50 = 58.5
9 × 6.75 = 60,75
58.5 + 60.75 = 119.35
Answer:
$119.25
Step-by-step explanation:
you have to multiply 4.50 x 13 than you multiply 6.75 x 9, which is 60.75 and 58.50. next you add 60.75 and 58.50 and get your answer of $119.25.
what is nine times a number x, in algebraic expression?
Answers
Answer:
Not possible to answer.
Please help me with this question!!
Answers
Answer:
ok so for g times h you would have to foil it and then you would multiply it by f of X
Maggie timed how long it took
her to finish a jigsaw puzzle.
The first time she finished in
12 minutes. She was able to
finish the puzzle twice as fast
the second time and three times
as fast the third time. How
long did it take her to finish
the puzzle the second and third
times?
What is the answer
Answers
The first time she finished in 12 minutes.
The second time she finished in 12/2=6 minutes
The third time she finished in 12/3=4 minutes
write equivalent fractions for 2 3/4+1 2/3 using a common denominator.
Answers
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
Given y= -5x^2 +30x -9, find the axis of symmetry.
x= -30
x= 6
x= 3
x= -3
Answers
Answer:
8
Step-by-step explanation:
pls mark me brainliest
-5(x²-6x+9)+45-9
-5(x-3)²+36
Standard form
y= a(x-p)²+q
a=-5,p= 3 and q=36
axis of symmetry :x= p
=>x= 3
Hope it helps you...