Use the circle below to answer the question.
Q
R
680
Р
C
S
The Circle is centered at point C. Line segment PQ is parallel to SR.
What is the measure of angle QPS?
Answers
The measure of angle QPS in circle C is 112°
What is a circle?
A circle is the locus of a point such that its distance from a fixed point known as the circle center is always constant. The sum of angles in a circle is 360 degrees.
From the circle:
PQ is parallel to SR, hence: ∠PQR + ∠QRS = 180°
∠PQR + 68 = 180
∠PQR = 112°
Also, PS = QR (from the endpoint of the diameter), hence:
∠QPS = ∠PQR = 112°
The measure of angle QPS in circle C is 112°
Find out more on circle at: https://brainly.com/question/24375372
Related Questions
Solve for x .
A) 48
B)42
C)47
D) 44
Answers
Answer:
B. 42.
Step-by-step explanation:
x/35 = 30/25
25x = 30*35
x = (30*35)/25
= 1050/25
= 42.
this season the baseball team won 3/5 of its games. assuming there’s no ties, what is the ratio of games won to games lost
Answers
Answer:
3:2
Step-by-step explanation:
if they won 3/5 games, then the other 2 were lost so the ratio would be 3:2
For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 210 miles in 7 hours, how many
miles does it travel in 4 hours?
Answers
Answer:
120 miles.
Step-by-step explanation:
Use long division to find how many miles the car travels in 1 hour then we multiply by 4
: (7÷210=30)×4=120miles. Hope this helped ;D
What is the center and radius for the circle with equation 2x2 - 8x + 2y2 +12y + 14 = 0?
A A
(2,-3); r = 6
B
00
(293); r = 16
(-2,3); r = 6
0
D
(-2,3); r = 16
Answers
Answer:
[tex](2,\, -3)[/tex].
[tex]r = \sqrt{6}[/tex].
Step-by-step explanation:
Let [tex](a,\, b)[/tex] denote the center of this circle. Let [tex]r[/tex] ([tex]r > 0[/tex]) denote the radius of this circle. The equation of this circle would be:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].
Expand to obtain an equivalent equation:
[tex]x^{2} + (- 2\, a) + y^{2} + (- 2\, b) + (a^{2} + b^{2} - r^{2}) = 0[/tex].
Since this equation and the given equation describe the same circle, their corresponding coefficients should match.
Notice that the coefficients of [tex]x^{2}[/tex] and [tex]y^{2}[/tex] in this equation are both [tex]1[/tex]. However, the corresponding coefficients in the given equation are both [tex]2[/tex]. Thus, divide both sides of the given equation by [tex]2\![/tex] to match the coefficients of the [tex]x^{2}[/tex] and [tex]y^{2}[/tex] terms:
[tex]x^{2} + (- 4\, x) + y^{2} + 6\, y + 7 = 0[/tex].
Coefficients of [tex]x^{2}[/tex] and [tex]y^{2}[/tex] are now matched after the division.Coefficients of [tex]x[/tex] should match: [tex](-4) = (-2\, a)[/tex], such that [tex]a = 2[/tex].Coefficients of [tex]y[/tex] should match: [tex]6 = (-2\, b)[/tex], such that [tex]b = (-3)[/tex].The constants should also match. Thus:
[tex]a^{2} + b^{2} - r^{2} = 7[/tex].
Substitute in [tex]a = 2[/tex] and [tex]b = (-3)[/tex]; given that [tex]r > 0[/tex], the value of [tex]r[/tex] would be:
[tex]r = \sqrt{2^{2} + 3^{2} - 7} = \sqrt{6}[/tex].
Pls help me solve part a and part b
Answers
Find the missing angle measure of the triangle.
Answers
Answer:
58
Step-by-step explanation:
65 + 57 = 122
A triangle is 180 degrees
180 - 122 = 58
58 is the missing measurement
if 9 is added to a number x the result is greater than 17. Find the range of values of x
Answers
Answer:
See below.
Step-by-step explanation:
x+9>17
-9 -9
x>8
-hope it helps
Diane, Henry, and Abdul have a total of $82 in their wallets. Diane has $8 less than Henry. Abdul has 3 times what Henry has. How much does each
Answers
Answer:
let's suppose
Diane: D= H – 8
Henry: H
Abdul: A = 3H
D+H+A=82
D=10
H=18
A=54
The train station clock runs too fast and gains 5 minutes every 3 days.
How many minutes and seconds will it have gained at the end of 4 days?
Answers
Answer:
first find the average per day. 5/3= 1 & 2/3... 2/3 of a minute is 40 is 60/3=20 seconds. so 4 days would be the full 5 minutes plus another 1 minute and another 40 seconds.. so by day 4 it would be 6 min and 40 seconds.
select the correct form for 562,932 I want the correct form
Answers
Answer: five hundred sixty-two thousand nine hundred thirty-two
Step-by-step explanation: Student instructed to give the word form of a given value.
Answer:
The correct word form is:
Five hundred sixty-two thousand nine hundred thirty-two.
---
Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
What % of people surveyed
were 6-10 and 21-25 years old
Answers
Add total people:
5 + 20 + 40 + 30 + 20 = 115 people
Add people 6-10 to 21-25 = 20 + 20 = 40
Divide the two age ranges by total people:
40/115 = 0.34782609
Multiply by 100 to get percent:
0.34782609 x 100 = 34.782609% Round off as needed
Choose the angles that are coterminal with -225° with -45° -125° -225° -495° 45° 135° 225° 495°
Answers
Answer:
-225°, 135°, 495°
Step-by-step explanation:
Adding or subtracting multiples of 360° will give angle values that are coterminal with a given angle.
-225° -360° = -595° (not on the list)
-225° +0·360° = -225°
-225° +360° = 135°
-225° +2·360° = 495°
Angles -225°, 135°, 495° are coterminal with -225°.
3 ounces cost $273
Find the unit rate
Answers
Answer:
$91 per ounce
Step-by-step explanation:
If 3 ounces cost $273, we can divide both sides by 3 to find the unit rate. To make this clearer, we use the variable [tex]x[/tex] for ounces. Then, we have the equation
[tex]3x=273[/tex].
Dividing both sides by 3, we have
[tex]x=91[/tex].
The cost of one ounce is $91.
Numbers x and y both squared and added
And ASAP pls
Nira here :)
Answers
Answer:
2x² + 4y²
according to your given information.......
Find the radius of the cylinder with the given volume
WILL GIVE BRAINLIEST
Answers
Answer:
6.71 mm
Step-by-step explanation:
Find radius R
Volume = πR²H
4500π = πR²*100
R² = 45
so R = √45 = 3√5 = 6.71 mm
zearn lesson really hard
Answers
Answer:7541
Step-by-step explanation:
all you have to do is add the bottom
2 ft is equal to how many meters?
Answers
Answer:
2 feet is equal to 0.609 meters
One meter is equal to roughly 3.281 feet.
So two feet is less than one meter.
To find how many meters a certain amount of feet is, you divide by 3.281
2 ÷ 3.281 = 0.609
2 feet is equal to 0.609 meters
Answer:
0.61 meter
Step-by-step explanation:
In a survey of a community, 58% like to listen to the radio only and 18% like to watch the T.V. only. If the number of people who like to listen to the radio is thrice the number of people who like to watch the T.V., then,
(i) Find percentage of people who donot like both of them.
ii Represent the above information in venn diagram.
Answers
The percentage of those that did not like both of them is 76%
Venn diagrams and set notationLet the total number of people in the community be 100%
n(u) = 100
If 58% like to listen to the radio only and 18% like to watch the T.V. only, then;
n(R) = 58 - x
n(T) = 118 - x
where x is the percentage of people who do not like both of them. Taking the sum;
58 + x + 18 = 100
x + 76 = 100
x = 100 - 76
x = 24
Hence 24% of people like both of them.
The percentage of those that did not like both of them is 76%
Learn more on sets here: https://brainly.com/question/13458417
Determine if true:
3x5+8=23
Answers
Answer:
True
Step-by-step explanation:
3x5=15
15+8=23
23=23
Answer:
True
Step-by-step explanation:
3 x 5 = 15
15 + 8 = 23
how do you calculate Ending Inventory if beginning inventory is 15000 the purchases is 24,000 and the cost of good sold is 23,000.
Answers
The ending inventory is: $14000
NO LINKS!!! Draw and solve each triangle.
1. a= 3, b= 4, C= 40°
2. a= 3, c= 2, B=110°
3. a= 12, b= 13, , c= 5
4. a= 5, b= 8, c = 9
Answers
The missing values are highlighted in bold, which are approximate to four decimal places (with the exception of B = 90 in problem 3).
Lowercase letters a,b,c are side lengths; Uppercase letters A,B,C are angles opposite the sides mentioned.
The drawings are shown below.
==========================================================
Explanation:
Problem 1
Use the Law of Cosines to solve for side c
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 3^2 + 4^2 - 2*3*4*cos(40)
c^2 = 6.61493337
c = sqrt(6.61493337)
c = 2.57195128
c = 2.5720
Now apply the Law of Sines to find angle A
sin(A)/a = sin(C)/c
sin(A)/3 = sin(40)/2.57195128
sin(A) = 3*sin(40)/2.57195128
sin(A) = 0.74976647
A = arcsin(0.74976647)
A = 48.57015285
A = 48.5702
Once we know two angles of a triangle, we can then subtract their sum from 180 to get the third missing angle.
A+B+C = 180
B = 180 - (A+C)
B = 180 - (48.57015285+40)
B = 91.42984715
B = 91.4298
-----------------------------------
Problem 2
Like with the previous problem, we can use the Law of Cosines to solve for the missing side.
b^2 = a^2 + c^2 - 2*a*c*cos(B)
b^2 = 3^2 + 2^2 - 2*3*2*cos(110)
b^2 = 17.10424172
b = sqrt(17.10424172)
b = 4.13572747
b = 4.1357
Now use the Law of Sines to find angle A
sin(A)/a = sin(B)/b
sin(A)/3 = sin(110)/4.13572747
sin(A) = 3*sin(110)/4.13572747
sin(A) = 0.68164014
A = arcsin(0.68164014)
A = 42.9719427
A = 42.9719
Then we can wrap things up like so
A+B+C = 180
C = 180 - (A+B)
C = 180 - (42.9719427+110)
C = 27.0280573
C = 27.0281
-----------------------------------
Problem 3
Use the Law of Cosines to find angle A.
a^2 = b^2 + c^2 - 2*b*c*cos(A)
12^2 = 13^2 + 5^2 - 2*13*5*cos(A)
144 = 194 - 130*cos(A)
-130*cos(A) = 144 - 194
-130*cos(A) = -50
cos(A) = (-50)/(- 130)
cos(A) = 0.38461538
A = arccos(0.38461538)
A = 67.38013505
A = 67.3801
We could use the Law of Cosines to find angle B, but I'll use the Law of Sines instead.
sin(A)/a = sin(B)/b
sin(B) = b*sin(A)/a
sin(B) = 13*sin(67.38013505)/12
sin(B) = 0.99999999998574
sin(B) = 1
B = arcsin(1)
B = 90
It turns out we have a 5-12-13 right triangle (though usually c is the longest side instead of b).
Now we could use the Law of Cosines to find angle C, but the steps shown below are much quicker in my opinion that don't involve any trig functions.
A+B+C = 180
C = 180 - (A+B)
C = 180 - (67.38013505 + 90)
C = 22.61986495
C = 22.6199
-----------------------------------
Problem 4
The steps will basically be identical to problem 3, but with different numbers of course.
First we need the Law of Cosines to find angle A.
a^2 = b^2 + c^2 - 2*b*c*cos(A)
5^2 = 8^2 + 9^2 - 2*8*9*cos(A)
25 = 145 - 144*cos(A)
-144*cos(A) = 25 - 145
-144*cos(A) = -120
cos(A) = (-120)/(-144)
cos(A) = 0.83333333
A = arccos(0.83333333)
A = 33.55730976
A = 33.5573
Now use the Law of Sines to find angle B.
sin(A)/a = sin(B)/b
sin(B) = b*sin(A)/a
sin(B) = 8*sin(33.55730976)/5
sin(B) = 0.88443328
B = arcsin(0.88443328)
B = 62.18186103
B = 62.1819
Lastly,
A+B+C = 180
C = 180 - (A+B)
C = 180 - (33.55730976 + 62.18186103)
C = 84.26082921
C = 84.2608
-----------------------------------
Side notes:
The phrasing "solve the triangle" means to find all three sides and all three angles.Each answer is approximate with the exception of B = 90 in problem 3.Intermediate calculations were done to eight decimal places. The final answers are to four decimal places. In the first two problems, we can prove only one triangle is possible due to the SAS triangle congruence theorem.For the last two problems, only one triangle is possible because of the SSS triangle congruence theorem.I used GeoGebra to make each triangle shown below.26. Let S = (-1,0,2,4,7). Find f(S) if
a) f(x)= 1.
b) f(x)=2x + 1.
c) f(x) = x/5
. d) f(x)=(x2 + 1)/3).
Answers
Answer:
d.f(x)=(×2 +1)/3).
Step-by-step explanation:
I think that was my answer
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answers
Answer:
Infinetly many (d)
Step-by-step explanation:
The graphs are the same, so they will all have the same solutions.
hope this helps!
ibrahim
NO LINKS!! A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x), in feet, can be modeled by f(x)= -0.0.25x+x+6, where x is the ball's horizontal distance, in yards, from the quarterback. What is the ball's maximum height and how far from the quarterback does this occur?
Answers
Answer:
Maximum height = 16 yards
This occurs 20 yards from the quarterback.
Step-by-step explanation:
Given function: [tex]f(x)=-0.025x^2+x+6[/tex]
To find the maximum (turning point), differentiate the function:
[tex]f('x)=-0.05x+1[/tex]
Set the derivative to zero and solve for [tex]x[/tex]:
[tex]\implies f'(x)=0[/tex]
[tex]\implies -0.05x+1=0[/tex]
[tex]\implies 0.05x=1[/tex]
[tex]\implies x=20[/tex]
Substitute found value of [tex]x[/tex] into the function to find the maximum height:
[tex]f(20)=-0.025(20)^2+(20)+6=16[/tex]
Therefore, the maximum height is 16 yards.
This occurs 20 yards from the quarterback.
The maximum height of the football can be 16 yards and this occurs 20 yards from the quarterback. The concepts of differentiation are used to solve this problem.
Differentiation is a fundamental mathematical concept that is generally used to obtain the rate of change or slopes of a line.
It is given that the height of the football is modeled as the following function:
f(x) = -0.025x² + x + 6
where x is the ball's horizontal distance (in yards) from the quarterback.
To obtain the maximum height of the ball, the equation is needed to be differentiated and set equal to zero as follows:
[tex]\dfrac{d}{dx}f(x) = 0\\\dfrac{d}{dx}(-0.025x^2+x+6)=0\\-0.025\times2x +1 = 0\\-0.05x+1 = 0\\x = \dfrac{1}{0.05}\\x = 20[/tex]
Substitute this value of x in f(x) to find the maximum height,
f(20) = -0.025(20)² + 20 + 6
f(20) = -0.025 × 400 + 26
f(20) = -10 + 26
f(20) = 16
Therefore, the maximum height is 16 yards and this occurs 20 yards from the quarterback.
Learn more about Differentiation here:
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The complete question is as follows:
A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x), in feet, can be modeled by f(x) = -0.025x²+x+6, where x is the ball's horizontal distance, in yards, from the quarterback. What is the ball's maximum height and how far from the quarterback does this occur?
for function f(x) =-3x+3 find f(0).
Answers
Answer:
f(0)=3
Step-by-step explanation:
f(0) = -3 x 0 + 3
f(0)=3
pls help me find the awnser
Answers
Answer:
I have no clue thats why is got this app
Answer:
57 units³
Step-by-step explanation:
Volume = length • width • height
Fill in the numbers:
V = 3 4/5 • 2 1/2 • 6
I am making them into improper fractions to make it easier:
V = 19/5 • 5/2 • 6
Multiplying the length and the width:
V = 95/10 • 6
Multiplying the height in:
V = 57
A bag of marbles contains five red marbles three green marbles and six yellow marbles what is the probability of randomly choosing a marble that is green
Answers
6. How do you write 100 as a power of 10?
Answers
Answer:10 to the 2nd power
Step-by-step explanation:
1 All sides are congruent. Paralelogram Rhombus Rectangle Square
Answers
Answer:
Rhombus
Square
Step-by-step explanation:
Rhombuses and squares have sides that are always congruent.
Look at VSW and ZTSW in the image below.
Which of the following is the best description for this pair of angles?
O complementary
O supplementary
O acute
O straight
Answers
Answer:
Supplementary
Step-by-step explanation:
VSW and TSW combine and make 180. Complementary is when they make up to 90
Supplementary