Answers
Answer:
Step-by-step explanation:
x = 6
arc RT = 49°
What is tangent?"It is a line that intersects the circle exactly at one point."
What is secant?"It is a line that intersects circle at two points."
For given example,
arc QT = (27x + 3)°
arc RT = (9x – 5)°
∠RST = (10x – 2)°
From figure we can observe that line ST is tangent and line SQ is secant.
∠RST is the angle subtended by tangent ST and secant SQ
We know, the angle subtended by the tangent and the secant is half the difference of the measures of the intercepted arcs.
⇒ ∠RST = (QT - RT)/2
⇒ 10x - 2 = [(27x + 3) - (9x - 5)] /2
⇒ 2(10x - 2) = 27x + 3 - 9x + 5
⇒ 20x - 4 = 18x + 8
⇒ 20x - 18x = 8 + 4
⇒ x = 6
So, arc RT would be,
⇒ 9x - 5 = 9(6) - 5
⇒ 9x - 5 = 49°
Therefore, arc RT = 49°
Learn more about tangent and secant here:
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Related Questions
( Need help !!!!!!!!!! Pls )
Answers
What is the volume of a sphere with a radius of 60.5 ft, rounded to the nearest tenth
of a cubic foot?
Answers
Answer:
If rounded to the nearest tenth of a cubic foot, would be: 927587.2
Step-by-step explanation:
The equation of finding the equation of the volume of a sphere is "4π[tex]\frac{radius^{3} }{3}[/tex]"
If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.
Hope this helps!
a cylinder with the radius of 12 feet and height of 1.2 feet. What is the total surface area of the cylinder in square feet?
Answers
Answer:
995.26
Step-by-step explanation:
I'm not sure but this is what I got
HELP PLZ I'LL MARK BRAINLIEST!
Answers
Answer:
138.23
Step-by-step explanation:
Select 2A316 in base 10.
Answers
The width of a rectangular shed is 8 feet, and its length is 14 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?
Answers
Answer:
That one
Step-by-step explanation:
It's kinda obvious if you look at the choices.
Answer:
8+14
Step-by-step explanation:
plz help me please please
Answers
Answer:
5%
Step-by-step explanation:
Answer:
5% increase
Step-by-step explanation:
30/600 equals .05 or 5%
if h(x)=3^x then h (-4) =
Answers
Answer:
1/81
Step-by-step explanation:
In h(x)=3^x, replace each instance of x with -4:
h(-4) = 3^(-4), or
1
h(-4) = ----------- = 1/81
3^4
[tex]\huge{\mathbb{\tt { PROBLEM:}}}[/tex]
if h(x)=3^x then h (-4) =
[tex]\huge{\mathbb{\tt { ANSWER:}}}[/tex]
[tex] \frac{1}{81} [/tex]
[tex]\huge{\mathbb{\tt { EXPLANATION:}}}[/tex]
In h(x) = 3^x , you must replace each instance of with -4:
h(-4)=3^(-4)
[tex]h(4)= \frac{1}{3^4} = \frac{1}{81} [/tex]
#CarryOnLearning
#LetsEnjoyTheSummer
→X x K i m 0 2 x XThere is a manhole cover with a radius of 1 foot. What is the manhole cover's diameter?
Answers
Step-by-step explanation:
This seems like you just want to figure out the circumference of the manhole cover. The formula for the circumference of a circle is pi (3.14) multiplied by the diameter (d) of the circle so, circumference=πd. (π is the symbol for pi and approx. equals 3.14)
Circumference = πd
= 3.14(d)
= 3.14(3)
= 9.42 ft.
The length of the brass grip-strip will be 9.42 ft.
If the problem was stated in terms of the radius of the manhole cover then the formula would be circumference = 2πr which is the radius multiplied by 2 then multiplied by pi.
The radius of a circle is the distance from the center to the edge and the diameter is the distance from one edge of the circle to the other passing through the center of the circle.
Well, if the grip strip were of no width and could be straightened out to a line (which a piece of rubber cut in a circle couldn't be), then the length of the grip would correspond to the circumference of the manhole cover.
Circumference = 2*PI*radius = PI*diameter so your answer is 3*PI feet long.
What is the measure of the other acute angle? Pls explain how you got your answer
Answers
Answer:
30 degrees
all triangles equal 180 degrees
90+60=150
180-150=30
Step-by-step explanation:
The depth of a river changes after a heavy rainstorm, Its depth, in feet, is modeled as a function of time, in hours. Consider this graph of the function. Enter the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18. Round your answer to the nearest tenth
Answers
Answer:
The average rate of change for the depth of the river measured as feet per hour is approximately 0.3 feet/hour
Step-by-step explanation:
The depth of the river in feet with time is given by the function with the attached
From the graph, we have;
The depth of the river at hour t = 9 is f(9) = 18 feet
The depth of the river at hour t = 18 is f(18) = 21 feet
The average rate of change, A(x), for the depth of the river measured as feet per hour is given as follows;
[tex]A(X) = \dfrac{f(b) - f(a)}{b - a}[/tex]
Therefore, for the river, we have;
[tex]A(X) = \dfrac{f(18) - f(9)}{18 - 9} = \dfrac{21 - 18}{18 -9} = \dfrac{3}{9} =\dfrac{1}{3}[/tex]
The average rate of change for the depth of the river measured as feet per hour A(X) = 1/3 feet/hour
By rounding the answer to the nearest tenth, we have;
A(X) = 0.3 feet/hour.
Simplify w x 12 x 3
Helppp
Answers
Answer:-x • (w2 - 12)
——————————————
3w
what is the volume of the right triangle prism shown
Answers
Answer:
42cm3
Step-by-step explanation:
v = 0.5× b × h × l
= 0.5 × 4 × 3 × 7
= 42cm3
Hello um I need help if anyone could help me with this that would be perfect:))!!
Answers
Answer:
1. If D= whole numbers then the answer is B.0 if it is integers the answer is A.-10
2. The answer is D. That number is an irrational number.
Step-by-step explanation:
Im pretty sure that #1 is B.0, but since there are no labels and i haven't done this in a while, I wasn't quite sure. Sorry.
Identify the figure, name the bases,faces,edges, and vertices
Answers
Answer:
It’s a square-based pyramid
base(1) is the square on the bottom- ABCD
Faces(4) are the triangles on the sides eg- AED, DEC, CEB, BCA
There are 8 edges, four being at the bottom around the base and the other four being alone the faces
Finally there are 5 vertices, four being at the corners of the base and the fifth being the tip of the pyramid
Step-by-step explanation:
I DON'T WANT A LINK I WANT AN ANSWER CAN YOU ANSWER THIS QUESTION I NEED IT DONE ASSP How large is the distance from one end of your state to the other (North to South)? What is the distance from the east coast to the west coast of your state? Your state is the ___________ largest in the United States.
My state is Virginia
Answers
The dot plots below display the pre- and post-test math scores for students in of Mr. Perez's
math classes.
The mean for the Pre-Test scores is 4.
The mean for the Post-Test scores is 10.
The mean absolute deviation of both tests is 2.
Describe the difference between the means as a multiple of the MAD.
Answers
Answer:
so one the MAD is wrong its actually 1 for both and
The multiple would be 4 and 10.
Step-by-step explanation:
4x1=4
10x1=10
Your parents gave you $0.35 on Sunday and then gave you twice as much money on Monday as they did on Sunday. On Tuesday, they gave you twice as much money as they gave you monday. The pattern continued for a week. How much money did your parents give you on Saturday??
Answers
Answer:
$22.40 im pretty sure its right
Step-by-step explanation:
sorry if im late and mark me brainliest if im right
Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?
Answers
Elena is graduating from high school. She will attend a private, 4-year university and study to become a Certified Public Accountant. The annual cost for her tuition, room and board, and books is $22,255. Elena's parents have a college fund with $ 54,000 to help with the costs. Elena received a scholarship for $500 per semester for four years .
Answers
Answer:
Reminder to eat drink and take care. :)
Step-by-step explanation:
Answer:
8,255 reminder to eat today
On a standardized exam, the scores are normally distributed with a mean of 120 and
a standard deviation of 10. Find the z-score of a person who scored 115 on the exam
Answers
Answer: z= -0.5
Step-by-step explanation: mean m=120 and deviation s=10.
Z = (x-m)/s= (115-120)/10
Answer: z=−1.1
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{104-115}{10}
z=
10
104−115
Plug in values
z=\frac{-11}{10}
z=
10
−11
Subtract
z=-1.1
z=−1.1
Divide
The proportion of supermarket customers who do not buy store-brand products is to be estimated. Suppose 500 customers are selected from the roughly 20,000 customers who shop at the stores citywide. The sample proportion of supermarket customers who do not buy store-brand products equals 33.5%. Which value(s) can be labeled as statistic(s)?
Answers
Options :
A.
33.5%
B.
20,000 and 33.5%
C.
500 and 20,000
D.
20,000
Answer:
A.) 33.5%
Step-by-step explanation:
A statistic value is simply a numerical statistical estimate or value which is obtained from the sample data or value. Here the statistic is the statistical value which is obtained the sample of 500 customers selected from the about 20000 population value 500 itself is the sample size while 33.5% is the sample. Proportion of supermarket customers who do not buy store-brand products.
20,000 = population size ;
500 = sample. Size
33.5% =. Statistic
75/100 reduced by 10
Answers
Answer: 3/4. fraction to decimal calculator to find what's an equivalent decimal for the fractional number 3/4.
0.75 is a decimal and 75/100 or 75% is the percentage for 3/4.
Step-by-step explanation:fraction simplification calculator to find what's a reduced or simplest form for 75/100 at its lowest terms. 3/4 is a simplified fraction for 75/100
Tamika is making a flag design in the shape of a parallelogram. Which x- and y-values must she use in order to guarantee that the flag is in the shape of a parallelogram?
Answers
Answer:
x = 1/2
y = 3
Step-by-step explanation:
Remark
The diagonals of a parallelogram cut each other in half. That means that x lengths are equal and the y lengths are equal
Equations
3y = y + 6
10x = 6x + 2
Solution for x
10x = 6x + 2 Subtract 6x from both sides
10x - 6x = 6x - 6x + 2
4x = 2 Divide by 4
4x/4 = 2/4
x = 1/2
Solution for y
3y = y + 6
3y - y = y- y + 6
2y = 6
y = 3
Answer:
Step-by-step explanation:
What is the area?
O 90 square kilometers
O 45 square kilometers
O 27 square kilometers
O 36 square kilometers
Answers
3 of the 100 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?
Answers
Answer:
97/100
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Probability that the DVRs is not faulty = total number of faulty videos / total number of videos
total number of faulty videos = 100 - 3 = 97
total number of videos = 100
97/100
HURRY! ANSWER QUICK PLEASEEE
Answers
Answer:
See explanation below
Step-by-step explanation:
Total number = (Rate)(time)
---------------------------------------
t = cd
t = qh
t = wm
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
SHOW YOUR WORK!!!
Calculate the volume of the following three-dimensional object
Answers
Answer: 6773.27
Step-by-step explanation: volume formula for the cone is pie(radius)^2(height/3) just plug in your information into the formula and viola
Vincent paints 75% of his statues. He paints 60 statues. How many statues does Vincent have in total?
Answers
Answer:
80
Step-by-step explanation:
Let the total number of statues be s. Then 0.75s = 60, and s = (4/3)(60 statues) = 80
He has 80 statues total.
helpppp pleaseee????
Answers
Answer:
6.68 cm radius
Step-by-step explanation: