In the diagram below, P and Q are points on a circle with centre O.
PQT is a tangent to the circle.
Angle OPQ=18∘
Work out the size of angle PQT.
Answers
Answer:
∠PQT = 72°Step-by-step explanation:
According to the diagram shown, ∠OPQ = ∠OQP = 18°. If PQT is a tangent to the circle, it can be inferred that line OQ is perpendicular to line QT. Ths shows that ∠OQT = 90°.
Also from the diagram, ∠OQP + ∠PQT = ∠OQT;
∠PQT = ∠OQT - ∠OQP
Given ∠OQP = 18° and ∠OQT = 90°
∠PQT = 90°-18°
∠PQT = 72°
Related Questions
In a town, 45% of all households have a pet and 35% have children. 40% of all household have children and pet find the probability of that household.
Answers
Given: cos∅ =-4/5 , sinФ = -12/13 , ∅ is in the third quadrant, and Ф is in the fourth quadrant. Evaluate Sin(∅+Ф)
Answers
Answer:
63/65
Step-by-step explanation:
the angles are in fourth and third quadrants so all the sin and cos values are minus
Which polygons are similar? 3 4 2 1 If someone can help me with this and as fast as possible i would amazingly appreciate it
Answers
Answer:
1 and 4
Step-by-step explanation:
1 and 4 are similar
have 3 congruent angles
Because they have the same degree in the same area and if you plug in the degree and find the missing side you’ll get the same as 1
Marjorie needs to cut 7 yards of fabric into sections that are 7 of a yard long. How many sections will she be able to cut from the
fabric?
A
2
B.
14
C.
6/7
D.
49
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
So she needs sections that are 1/7th of a yard long
There are 7 'sevenths' in one yard
Multiply this value by the number of yards:
7 x 7 = 49
The answer would be D. 49
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Stay Brainly! ヅ
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Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. Priya made a mistake: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the mean and median of the data set
Answers
Answer: The mean will increase and the median would not change
Step-by-step explanation:
Recorded data by Priya :
Data: 1,8,6,2,4
Mean of data = (1+8+6+2+4)/5
=21/5 = 4.2
Median of data = 1,2,4,6,8
Median = 4
Correct data: 1,18,6,2,4
Mean of data = (1+18+6+2+4)/5
=31/5 = 6.2
Median of data = 1,2,4,6,18
Median = 4
Therefore ; according to the evaluation above, the median will remain unchanged, but the mean increased from 4.20 to 6.20.
A patient was given medicine. She took 5 ml of
medicine 3 times in one day. How much medicine did
she take in total that day?
Answers
Answer:
15 ml.
Step-by-step explanation:
That is 3 * 5 ml = 15 ml in one day.
Answer:
h9978y
Step-by-step explanation:
Given r=2, s=5, t=8; what is 12s - 2rt + 101?
Answers
Given:
r = 2s = 5t = 8To find out:
Find the value of 12s - 2rt + 101?
Solution:
12s - 2rt + 101
=> 12 × 5 + 2 × 2 × 8 + 101
=> 60 + 32 + 101
=> 92 + 101
=> 193
Julie needs to cut 4 pieces of yam, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the
length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the
total length of all of the yarn that she ends up cutting, y is the graph of the equation continuous or discrete?
Answers
Answer:
She has to cut another piece = 7.75 inches
Total length = 4x + 7.75
This is what y represent, so
y = 4x + 7.75
The graph of the equation is continuous
Find the 7th term of the arithmetic sequence. 2, 13, 24, 35, 46,...
Answers
Answer: 68
Step-by-step explanation: Each time the number goes up by 11, you can just add 22 ( 2 more steps to the sequence) to the last one given to get the 7th term
Dorinda worked 2 part- time jobs and earned $234.50 for working a total of 30 hours at both jobs. She is paid $7.50 per hour at Job A and $8.00 per hour at Job B. How many hours did Dorinda work at Job A?
Answers
Answer:
Dorinda worked at Job A for 11 hours
Step-by-step explanation:
Step one
This is a word that leads to simultaneous.
Let us begin by modeling the system of equation from the problem
Let x and y be the number of hours worked in both jobs A and B respectively
Step two
x+y=30---------1
7.5x+8y=234.50----2
Solving the equations simultaneously we have
1. Multiplying equation 1 by 8 and equation 2 by 1 and subtracting from equation 2 to find y
8x+8y=240---------1
- 7.5x+8y=234.50----2
=0.5x=5.5
x=5.5/0.5
x= 11hrs
Substituting x=11 in equation 1 we can find y
11+y=30
y= 30-11
y= 19hrs
Which inequality matches the graph
Answers
Answer:
D) x ≤ 3
Step-by-step explanation:
The inequality that matches the graph is x ≤ 3. This is because x is less than or equal to 3 as shown in the graph.
At the beginning of a population study , a city had 370,000 people. Each year since the population had grown by 7.9%. Let t be the number for years since start of the study. Let y be the city’s population. Write an exponential function showing the relationship between y and t
Answers
Answer:
Population = starting population * ( 1 + rate) ^ years
y = 370,000 * (1.079) ^ t
Step-by-step explanation:
Use the parabola tool to graph the quadratic function f(x)=(x−2)(x−6). Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
Answer:
Step-by-step explanation:
(x-2)(x-6)= x^2-8x+12
vertex (4,-4)
Answer:
Step-by-step explanation:
i need help asap pllz help !!
Answers
Answer:
14/28
Step-by-step explanation:
14/28 reduces down to 1/2
Coleen, had a choise between 3/10 of a bag of candy or 3/6 of a bag of candy.if she want to get as much candy as possible, which one should she choose?
Answers
Answer:
3/6 of a bag of candy
Step-by-step explanation:
When you do butterfly method, u may have learned or not but u do.
3/10, 3/6
and you multiply across
So, 6x3=18 and 10x3=30
and 3/6 has a higher value, so its correct
What is the rule for the reflection?
ry-axis(x, y) → (–x, y)
ry-axis(x, y) → (x, –y)
rx-axis(x, y) → (–x, y)
rx-axis(x, y) → (x, –y)
Answers
Answer:
ry-axis(x, y) → (–x, y)
rx-axis(x, y) → (x, –y)
Step-by-step explanation:
When you reflect over the x axis, the y values change. When you reflect over the y axis, the x values change.
Answer:
Option C is your answer
I says on my notes but it won't show you for some reason
I've done this before.
Step-by-step explanation:
What was the ORIGINAL price of an item that cost $55.50 AFTER a 75%
discount? *
Answers
Answer:
$222
Step-by-step explanation:
A Roth IRA is advertised to pay 1.5% annual interest. You researched the rate of inflation to be 1.15% this year. What is the actual or real rate of return on the IRA?
Answers
Answer: 0.35%
Step-by-step explanation:
Given the following :
Advertised interest rate = nominal rate = 1.5%
Inflation rate = 1.15%
The real rate of return is calculated by:
[(1 + nominal rate) / ( 1 + inflation rate)] - 1
[(1 + (1.5/100)) / (1 + (1.15/100))] - 1
[(1 + 0.015) / ( 1 + 0.0115)] - 1
[ 1.015 / 1.0115] - 1
1.0034602 - 1 = 0.0034602
Real rate of return = (0.0034602 * 100)%
Real rate of return = 0.346%
Answer: 0.35%
Step-by-step explanation:
You estimate that there are 64 marbles in a jar. The actual amount is 46 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.
Answers
Answer:
percentage error = 39.1%
Step-by-step explanation:
You estimate that there are 64 marbles in a jar. The actual amount is 46 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.
Given that You estimate that there are 64 marbles in a jar.
The actual amount is 46 marbles
Actual marbles = 46
Your estimate = 64
[tex]\% error =\frac{estimated - actual}{actual}[/tex]
% error = | estimate - actual | / actual × 100%
estimate amount - actual amount = 64 - 46 = 18
[tex]= \frac{18}{46} \times 100\\\\=0.391\times 100\\\\=39.1 \%[/tex]
Therefore, percentage error = 39.1%
help with geometry..need help...if any of you is good with geometry
What transformations would result in the image shown? (question for the first image)
a.Δ ABC is reflected over both axes.
b.Δ ABC is reflected over the y-axis and translated down 5 units.
c.Δ ABC is reflected over the x-axis and translated right 5 units.
d.Δ ABC is translated right 5 units and down 5 units.
Which transformations would result in the image shown?
a.ABCD is reflected over both axes.
b.ABCD is translated right 4 units and down 3 units.
c.ABCD is reflected over the x-axis and translated right 4 units.
d.ABCD is reflected over the y-axis and translated down 3 units.
Answers
Answer: For the first image, D will be the correct answer. For the second image, A will be the correct answer.
Step-by-step explanation:
The first image has a quite simple answer because translating the shape just means moving every point in the direction given according to some many units. In this case, we would be translating points A(-4,3), B(-3,1), and C(-1,2) 5 units right and 5 units down to get us the prime points of A'(1,-2), B'(2,-4), C'(4,-3).
In the second image, a reflection just describes a flip over some line, known as the line of reflection. We change the point's signs depending on the line of symmetry we are given when reflecting (in this case, the y axis). Reflecting the trapezoid over the y axis will result in a change of signs of the x values of the given points. Point A of the trapezoid is located on coordinate (-2,2), after the reflection, it will be located on point (2,2). Points B will reflect from point (-1,2) to point (1,2). Point C will reflect from (-1,1) to (1,1). Finally, point D will reflect from point (-3,1) to (3,1). After this reflection, we have to perform the same one except only the y values of our coordinates will change because we are reflecting over the x axis. After you graph the trapezoid from the previous reflection, do the same thing by just changing the y values of the coordinates to get your desired image.
Answer:
D
A
Hope this helps!
The data set below shows prices for concert tickets in 10 major cities. Find the interquartile range (IQR) of the set. How do the middle 50% of the prices vary?
Answers
Answer: IQR = 16
Step-by-step explanation:
Given the following data:
Cost of concert :
CITY : Q, R, S, T, U, V, W, X, Y, Z
Price : 35,36,42,38, 24,29,25, 44,49, 26
Interquartile range (IQR) = Q3 - Q1
Where,
Q3 = the upper quartile
Q1 = lower quartile
Rearranging the data:
24,25,26,29,35,36,38,42,44,49
Q3 = 42
Q1 = 26
IQR = (42 - 26) = 16
Answer:
18 (for the IQR)
Step-by-step explanation:
Well, follow the equation the other person did. You'd get the right answer if you do the stuff right. And for people where it has another part to it, the answer would be D.
I hope this helps :)
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s.
Answers
Answer:
$12 per shirt
Step-by-step explanation:
$300/25=$12
Answer:
11.96 per shirt
Step-by-step explanation:
299/25 = 11.96 you do this instead of 300/25 because it says less than 300
Work out the Find the area of the isosceles triangle with sides of 13cm and a base of 10cm. Show your workings
Answers
Answer:
60 cm²
Step-by-step explanation:
a=c= 13 cm
b= 10 cm
A=?
------------
A=bh/2
h is the leg of the right triangle with hypotenuse 13 cm and other leg 10/2 cmh= √13²-5²= √169-25= √144= 12 cmA= 10*12/2= 60 cm²When answering pls write the number of the question ur doing that will be amazing thank u soo much
Answers
Step-by-step explanation:
No. 1
sin33° = x / 14
No. 2
Sin Z = 36.87°
No. 3
A = 62
No. 4
C = 36.87°
Hope this helps :)
Answer:
36.87
Step-by-step explanation:
Which ratio is also equal to StartFraction R T Over R X EndFraction and StartFraction R S Over R Y End Fraction?
Answers
Answer:
ST/XY
Step-by-step explanation:
(RT/RX)/(RS/RY)= ST/XY
if the shapes are equal and the same then the ratio are equal
if RT is corresponds to RX and RS is corresponds to RY then TS corresponds to TS
PLZZZZZZZZ HLPPPPPPPPP MEEEEEEEEEEEE
Answers
Answer:
D.8
Step-by-step explanation:
A cube's volume is basically the side length multiplied by itself 3 times, so if it was increased by a factor of 2, it would mean 2x2x2 which equals 8.
A softball pitcher pitches a ball at a speed of 74 miles per hour. What conversion factor can be used to find the speed of the ball in feet per second?
Answers
Answer:
5280 ft
-----------
1 mile
Step-by-step explanation:
We need to convert miles to feet and hours to seconds
1 mile = 5280 ft
and
1 hours = 3600 seconds
5280 ft
-----------
1 mile
1 hour
----------
3600 seconds but since this isn't an option
Three people become infected with a virus that spreads quickly. Each day that passes, the number of infected people doubles. How can the number of infected people be determined from the number of days that have passed?
Answers
Answer: raise 2 to the number of days, and then multiply this value by 3.
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Find the area of the shape below
Answers
Answer:
32 units^2
Step-by-step explanation:
This is a trapezoid
The area of a trapezoid is found by
A = 1/2 (b1+b2) h
A = 1/2 ( 4+12) *4
A = 1/2 (16) *4
A =32
Answer:
I think the answer is 32.!
Step-by-step explanation:
Anyone please correct me if I'm wrong.
I would divide the 12 into 3 to get 4 for the 3 parts.
I will start with the triangle on the left 4 times 4=16. Divide it 1/2, which you get 8.
On the triangle on the right is the same, so 8.
The middle is 4 times 4=16.
Last 8+8+16=32.
I think the answer is 32 units.!
Pls help me solve :The salary of a man was increased in the ratio 40:47. Calculate the percentage increase in the salary A. 85.1%. B. 58.5%. C. 17.5%. D. 14.9%