Answer:
[tex] \purple {\bold {m\angle PTR=136\degree}} [/tex]
[tex] \orange {\bold {m\angle PQR=68\degree}}[/tex]
Step-by-step explanation:
PS and RS are tangents to the circle with center T at points P and R. (given)
TP and TR are radii of the given circle.
[tex] \therefore PS\perp TP\: \&\: RS\perp TR[/tex]
(radius is perpendicular to the tangent)
[tex] \therefore m\angle TPQ= m\angle TRS =90\degree [/tex]
In quadrilateral SPTR
[tex] m\angle TPQ+ m\angle TRS+m\angle PSR +m\angle PTR=360\degree [/tex]
[tex] 90\degree+ 90\degree+44\degree +m\angle PTR=360\degree [/tex]
[tex] 224\degree +m\angle PTR=360\degree [/tex]
[tex] m\angle PTR=360\degree - 224\degree[/tex]
[tex] \purple {\bold {m\angle PTR=136\degree}} [/tex]
By inscribed angle theorem:
[tex] m\angle PQR=\frac{1}{2} \times m\angle PTR[/tex]
[tex] m\angle PQR=\frac{1}{2} \times 136\degree[/tex]
[tex] \orange {\bold {m\angle PQR=68\degree}}[/tex]
Andrew is paid £250 a week.
Each week, he
shares his pay with his sister in the ratio 3 : 2
saves 12% of his share.
How many weeks will it take Andrew to save £360?
Answer:
20 weeks
Step-by-step explanation:
The calculation of The number of weeks it will take to save £360 is given below:
Now $250 should be divided into a ratio of 3:2
He keeps = 150
And, he gives her = 100
As he saves 12% of his share
i.e.
= 12% of 150
= 18
Now the number of weeks is
= 360 ÷ 18
= 20 weeks
Help me please help me, I need the answer because only have 1 hour for finish and my grades is so bads and these is extra credit please if you don't know the answer don't answer, the homework is in the link
only copy the link and paste in goggle and don't tell me that the link doesn't work
https://web.kamihq.com/web/viewer.html?state=%7B%22ids%22%3A%5B%221aidR33WNrqCQpoLGI61LsJGSRfxNwOk3%22%5D%2C%22authuser%22%3A%220%22%2C%22from%22%3A%22classroomopenext%22%7D&kami_user_id=7473954
Answer:wow
Step-by-step explanation:sad
Victor baked 30 chocolate chip cookies, 18 peanut butter cookies, and 24 sugar cookies. He wants to split them into equal and identical bags to sell at the bake sale. What is the greatest number bags of cookies Victor can make?
Answer:
Six bags.
Step-by-step explanation:
The greatest common factor of 18, 24, and 30 is 6.
He can make 6 bags. Each would have 5 chocolate chip cookies, 4 sugar cookies, and 3 peanut butter cookies.
simplify.
(14h⁴︎+3h³) - (9h⁴︎+2h³)
Answer:
31874
Step-by-step explanation:
I think that's right?
please tell me
A person stands 6 feet tall. The distance from the top of their head to the end of their
shadow on the ground is 10 feet. How long is their shadow? Round to the nearest
tenths where necessary.
Answer:
It's quite simple and there is no need for rounding, the answer should be 8ft
Step-by-step explanation:
Here's why,
This problem can be solved with the Pythagorean Theorem, since in draws a triangle.
The picture should explain it, let's double check:
6^2+8^2=10^2
36+64=100
Looks like it checks out
Answer:
I agree, the answer should be 8ft
At which value(s) of x does the graph of the function f(x) have a vertical asymptote? Check all that apply
F(x)=x-5/3x(x+1)
The vertical asymptotes are x= 0 and x = -1 option (D) and option (F) are correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
F(x) = (x-5)/3x(x+ 1)
To find the vertical asymptotes:
3x = 0
or
x = 0
x + 1 = 0
or
x = -1
Thus, the vertical asymptotes are x= 0 and x = -1 option (D) and option (F) are correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Solve for X. Please help! 35 points
Round 125 to the nearest hundred.
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
100
Step-by-step explanation:
as in the tens place it is 2 its lesser than 5 so it will be 100
I hope im right!!
Answer:
125 rounded to the nearest hundred is 100.
Step-by-step explanation:
Have a nice day!!!
Help Asap 30points best answer!!!!
Answer:
c.
Step-by-step explanation:
a negative fraction is lower than a positive.
So its negative, then positive, then the biggest fraction, which is 3/2.
If you need more clarification, please let me know :)
PLS HELP write a value that satisfies the equality Ix-3l=6
Answer:
9
Step-by-step explanation:
get rid of the brackets
x-3=6
then add 3 to both sides
x=6+3
now add
x=9
your answer your looking for is
9
I hope this helps!!!
Have a good day!!
a) 5(3z-2)=-16-3(2z+5)
b) 5(2 –3k) + (3k –2) = -4
Help me pls. literally can’t figure it out.
click pic to make it bigger thanks.
If we decrease both dimensions on a figure, how is the figure's area affected?
The area increases.
The area becomes 0.
The area decreases.
The area remains the same
Answer:
The area decreases.
Answer:
The area decreases.
Step-by-step explanation:
If we decrease both dimension on a figure, the figure is smaller.
Michael wants to plant a circular flower garden in his backyard. If the radius of his garden is 12.5 feet, what is the circumference of the garden in terms of pi?
Which table represents a linear function?
Answer:
wheres the pic tho
Step-by-step explanation:
?????????
{57, 53, 53, 71, 73, 57, 61, 58, 78. 64, 54, 69, 56, 58, 49, 56, 53, 52, 82, 62, 61, 60, 71, 75, 60} Whats the mean? the median and mode. what is the range. and the iqr? what is the five number summary? what is Q3? and the data set is?
Mean of the data is 62.12, median is 60, mode is 53, range is 32, Q3 is 69.
What is mean?Mean is the sum of numbers divided by the numbers. It is also known as average.
How to calculate values?Fow calculating mean we have to find sum of numbers which is calculated in figure as 1553.
Mean=1553/25=62.12
Mode is basically the number having higher frequency which is 53.
Median is[ (n+1/2)th term,(n/2)th term]/2
=(60+60)/2
= 60.
Range is basically the difference of smallest number and largest number divided by 2=82-49=32
Q3=3(N+1)/2
=3(25+1)/2
=18.5th term which is 69.
Hence mean of the data is 62.12, median is 60, mode is 53, range is 32, Q3 is 69.
Learn more about mean at https://brainly.com/question/1136789
#SPJ2
1.Donald is 16 years old, and his neighbor Betty is 24 years old. What will the ratio of their ages be in 10 years?
A.16 : 24
B.2 : 3
C.26 : 34
D.13 : 17
2.If you were asked to divide $1120 into three shares proportional to 6, 7 and 3. What is the value of the largest share
A.$490
B.$90
C.$400
D.$270
BC =
Round your answer to the nearest hundredth.
B
200
?
А
4
Answer:
Step-by-step explanation:
Bc right?
A racehorse as a 3/10 chance of winning a derby. How could you simulate this probability in
order to run chance experiments?
Solve the inequality: 2(4+2x)≥5x+5
Answer: solving for x would be x ≤ 3
Step-by-step explanation:
Hope this helps! have a good day!
Answer:
Inequality form:
x≤3
Interval Notation:
(-∞,3]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
At Sophia's gymnastics camp, the gymnasts spent 2 hours and 45 minutes on the balance beam and 2 hours and 50 minutes on practicing vaulting. If the gymnastics camp ended at 2:25 P.M., what time did it start?
Answer: 8:50 am
Step-by-step explanation:
Well, you have to add the hours together, and remember that there is 60 minutes in an hour. You wouls get 5 hours and 35 minutes, or 5:35. You just count backwards from there. Hope this helped!
pls help :) plssssss
Answer:
I'm kinda guessing 35 degrees.
Step-by-step explanation:
It was simple math and I don't know if there's a certain way you are supposed to do this. Sorry if I'm incorrect.
Answer:
35 degrees im pretty sure
Step-by-step explanation:
goodluckk
You spent $175 on a pair of shoes and three shirts. Each shirt cost the same amount. The shoes cost four times the amount of one shirt.
A) Graph the system of equations.
B) What was the price of the shoes and each shirt?
Please answer and take seriously will give brainliest
Step-by-step explanation:
1. making the equation:
shoes = x
shirts = y
175 = x + 3y
x = 4y
2. graph it (I'm using desmos)
the green line is for 175 = x + 3y and the purple one is for x = 4y
3. find the price
x = 4y
175 = 4y + 3y
175 = 7y
y = 175/7 = $25
price of the shirt = $25
x = 4y = 4*25 = $100
price of a pair of shoes = $100
100 POINTS!!! ONLY 1 QUESTION! WILL GIVE BRAINLIEST. Please EXPLAIN how you got the answer
Answer:
A
Step-by-step explanation:
its hard to explain but pretty much if you didn't know the ^x+1 is the x intercept except when its graphed its no marked at (1,0) its mark ate (-1,0) because it always takes the inverse
if you go over to the right 3 then your adding 3 to the x intercept or subtracting 3 from ^x+1 so it would be ^x-2
the y intercept part is easy all you have to do is subtract 2 from the y intercept so it would be +2
hope this helps :D
Answer:
yes equation A is your answer
Help I will be marking brainliest!!!
A. 2270 feet
B. 2548 feet
C. 4455 feet
D. 9813 feet
If you can, show work. Thanks❤️
Step-by-step explanation:
A camera is positioned 5000 ft from the base of a rocket launching pad. the angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. let's assume the rocket rises vertically and its speed is 800 ft/s when it has risen2548 ft. (round your answers to three decimal places.)
Answer: B
Step-by-step explanation:
We are given an angle and a distance, and to solve for the height we need to make a triangle.
First, I'm going to assign sides to the triangle:
Side a: This is going to be the distance from the camera to the launch pad.
Side b: This is going to be the distance from the launch pad to the rocket (the rocket's height)
Side c: This is going to be the distance from the rocket to the camera (this is the hypotenuse of the triangle)
Now that we have sides, we can solve for the height. The height is the distance from the launch pad to the rocket, so it will be side b. We know that the camera is 5000 ft away from the launch pad, so we can say that side a is 5000 ft. It also tells us the camera is angled up at 27 degrees, so we can say angle B is 27 degrees.
We have a known side that length that is adjacent to a known angle inside of a right triangle, and we want to find the length of the opposite side. In this situation we can use the function tangent.
tan(theta) = opposite / adjacent
If we plug values into this equation we get:
tan(B) = b / a
tan(27 degrees) = b / 5000
b = tan(27 degrees) * 5000
b = 2547.627
b rounded to the nearest foot is 2548 ft, which is answer B
If a wheel makes 12 of a rotation in 2 seconds, what is the angular velocity, in radians per second?
Answer:
angular velocity = 12π Radians per second
Step-by-step explanation:
The angular velocity is a measure of the rotation/revolution speed of an object, relative to another point.
In order to present the answer in radians per second, let us first establish the relationship between radians and rotations/revolution.
one complete revolution = 360° = 2π Radians
∴ 1 roration = 2π Radians
12 rotations = 12 × 2π Radians = 24π Radians
Angular velocity in radians = 24π Radians in 2 seconds
Now let us convert to radians per seconds.
24π Radians = 2 seconds
2 seconds = 24π Radians
∴ 1 second = (24π Radians) ÷ 2
1 second = 12π Radians
∴ angular velocity = 12π Radians per second
Someone please help this is due in 1hr!!!!!!!
answer both for a ( brain list , thanks , and a 5 star review)
Answer:
1/ 6
7/ 12
Step-by-step explanation:
Answer:
7a) 1/7
7b) 7/12
Step-by-step explanation:
For 7a) you know that the denominator of 5/6 is equal to 6 so that means you should make 1 have a denominator of 6. To do that, you have to multiply the denominator and the numerator by 6 to get 6/6-5/6=?. With this, you could easily solve the two fractions because they have equal denominators. You subtract the numerator and keep the denominator. 6-5=1 so the answer is 1/6.
For 7b) I would first convert 1 3/12 into an improper fraction. To do that, you have to multiply the whole number by the denominator then add the numerator. It will look like this 12x1+3/12 which is equal to 15/12. This makes the question easier to solve. You then want to convert 2/3 to have a denominator of 12. To do that, you have to multiply 4 on the numerator and denominator. This will turn the fraction into 8/12. After you do that, you can easily subtract the fractions again. you do 15-8/12 which is equal to 7/12.
If this answer has helped you, please mark this answer as brainliest
i need to know the intercept for both and i don't know how to find it
for y=2x the x intercept is 0 and the y intercept is 0. for 7y=6x-20 the x intercept is 3.1 and the y intercept is 3
what is the constant term in the expression 8 * y + 9x ^ 2 y - 5x -2
A - 5
B - 2
c 8
d 9
answer is
-2
that is option b