Answers
Answer:
m<RUS = 65°
m<UST = 15°
Step-by-step explanation:
Hi there!
We are given circle O, with a diameter of US
The measure of arc RU is 50°, and the measure of arc UT is 30°
We want to find the measure of <RUS and <UST
First, let's start with <RUS
As stated before, we were given the diameter of a circle - that is segment US
Notice how ΔRUS (which contains <RUS) contains the diameter US - this means that the portion of the circle that contains ΔRUS is a semicircle.
If that portion is a semicircle, then that means that m<URS is 90°
Next, we know that the measure of arc RU is 50°
Notice how <RSU is an inscribed angle, meaning that it is created by 2 chords, and that its vertex is on the circle itself
Inscribed angles are half the measure of the arcs they intercept. The arc that <RSU intercepts is arc RU, which means that the measure of <RSU is 25°
Now, to find m<RUS, you can do m<URS - m<RSU, as the acute angles in a right triangle add up to 90°
In that case:
m<RUS = m<URS - m<RSU
via substitution, m<RUS = 90° - 25°
m<RUS = 65°
Now we need to find the measure of <UST
Notice how m<UST is also an inscribed angle
The arc it intercepts is arc UT, which we were given has a measure of 30 degrees
Therefore, m<UST = half of the measure of arc UT
Via substitution,
m<UST = 1/2 * 30
m<UST = 15°
Hope this helps!
Related Questions
Find the volume of the prism. An oblique rectangular prism with length of 4 meters and width 7 meters. The height of the prism is 8 and one-half meters.
Answers
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Length of rectangular prism = [tex]\sf\red{4m}[/tex]
[tex]\rightarrow[/tex] Width of rectangular prism = [tex]\sf\red{7m}[/tex]
[tex]\rightarrow[/tex] Height of rectangular prism = [tex]\sf\red{8.5m}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
Volume of given Rectangular Prism.[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] We can find the volume of given rectangular prism by using the formula:
[tex]\sf\blue{Length × Width ×Height}[/tex]
So, let's begin:
[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{Length × Width ×Height}[/tex](putting the value of length, width and height from the above given)
[tex]\rightarrow[/tex][tex]\sf{=\:4× 7 ×8.5}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:28×8.5}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:238m^3}[/tex]
Therefore, volume of the given rectangular prism = [tex]\sf\purple{238m^3.}[/tex]
______________________________
Hope it helps you:)
. Assuming that the pool is 10 ft deep, approximately how many cubic heters of water will this pool hold when filled? (3.3 feet 1 meter)
Answers
Answer:
The answer is true
Step-by-step explanation:
hope this helps
NEED AN ANSWER RIGHT NOW I HAVE ALMOST NO TIME PLEASE
The zeros of a quadratic relationship are 3 and 7. The optimal value is -3. Is the optimal value a maximum or minimum? Explain.
TYSM IF SOMEONE HELPS
Answers
Answer:
Minimum
Step-by-step explanation:
The zeros of a quadratic equation are the points at which the parabola intersects the x-axis.
[tex]\sf x=3 \implies x-3=0[/tex]
[tex]\sf x=7 \implies x-7=0[/tex]
[tex]\sf \implies y=a(x-3)(x-7)[/tex] (for some constant a)
[tex]\sf \implies y=ax^2-10ax+21a[/tex]
The optimal value is the y-coordinate of the vertex.
[tex]\sf \implies vertex=(x,-3)[/tex]
The x-coordinate of the vertex is the midpoint of the zeros:
[tex]\sf x=\dfrac{7-3}{2}+3=5[/tex]
[tex]\sf \implies vertex=(5,-3)[/tex]
Therefore, the vertex will be in Quadrant IV and so the parabola opens upwards into Quadrant I.
So the optimal value is a MINIMUM since the vertex is the minimum point of the curve.
Additional Information to create the equation of the quadratic
Vertex form of quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
[tex]\sf \implies y=a(x-5)^2-3[/tex]
[tex]\sf \implies y=ax^2-10ax+25a-3[/tex]
To find the value of a, compare the constants of both equations:
[tex]\sf 21a=25a-3[/tex]
[tex]\sf \implies -4a=-3[/tex]
[tex]\sf \implies a=\dfrac34[/tex]
So the final equation is:
[tex]\sf factor \ form \implies y=\dfrac34(x-3)(x-7)[/tex]
[tex]\sf standard \ form\implies y=\dfrac34x^2-\dfrac{15}{2}x+\dfrac{63}{4}[/tex]
[tex]\sf vertex \ form \implies y=\dfrac34(x-5)^2-3[/tex]
Which of the following is formula that represents The Pythagorean
Theorem?
Answers
Look at the diagram for the answer
Hope that helps!
Please helpp!!!!!!!!!!!!!!! I will mark brainlist
Answers
If you into 0 for x you get 4. It is not straight line or constant rate of change because slope is x^2 which is a parabola. If you input -3 you don’t get -5 you get 13. And lastly, y is a function of x means y changes according to the x input, which is the case here.
Answer:
statements 2 & 5 are true
Step-by-step explanation:
1. False because is a quadratic nonlinear equation
2. True, 4 is the ordered to the origin
3. False, the rate not being linear is not constant
4. False, because when the input is -3 the output is 13
[tex]y = (-3)^{2} +4=9+4=13[/tex]
5. True, y depends on x
Hope this helps
find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place
Answers
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}[/tex]
Is the sequence An a function? Why or why not?
Answers
Answer: A sequence is a type of function. Remember, a function is any formula that can be expressed in "f(x) = x" format, but a sequence only contains integers at or greater than zero.
Hope this helps! Have a good day! :)
Suppose that 22% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Round to 2 places.
Answers
*50 points* Pls help. Pls answer both part A and Part B. Look at the picture for question.
Answers
Answer:
Eleanor has made an error in Step 1
She clearly intended to multiply both sides by 2, but forgot to multiply the [tex]-9x[/tex] part of the RHS.
Step 1 should be: [tex]x+18=8(2x-6)-18x[/tex]
Correct solution
Given: [tex]\dfrac12(x+18)=4(2x-6)-9x[/tex]
Step 1: [tex]x+18=8(2x-6)-18x[/tex]
Step 2: [tex]x+18=16x-48-18x[/tex]
Step 3: [tex]x+18=-48-2x[/tex]
Step 4: [tex]66=-3x[/tex]
Step 5: [tex]x=-22[/tex]
Let
[tex]Let \\ \displaystyle\sf S = \sum_{k=1}^n \dfrac{n}{n^2+kn + k^2} [/tex] and ,
[tex]\displaystyle \sf T_n =\sum_{k=0}^{n-1}\dfrac{n}{n^2+kn+k^2}[/tex] ,
[/tex]
where n = 1,2,3,4..... Then ,
[tex]A)\quad S_n < \dfrac{\pi}{3\sqrt3} \qquad \qquad B)\quad S_n >\dfrac{\pi}{3\sqrt3}\\\\ C)\quad T_n >\dfrac{\pi}{3\sqrt3}\qquad\qquad D)\quad T_n < \dfrac{\pi}{3\sqrt3}[/tex]
Answers
Answer:
A, D
Step-by-step explanation:
You want to know the bound for the values of Sn and Tn, given their definitions as ...
[tex]\displaystyle S_n=\sum_{k=1}^n{\dfrac{n}{n^2+kn+k^2}}\\\\T_n=\sum_{k=1}^{n-1}{\dfrac{n}{n^2+kn+k^2}}[/tex]
ValuesAll we need to do to determine the correct answer choices is evaluate the sums for some value of n.
For n=2, the value of S2 is ...
S2 = 2/(4+2+1) +2/(4+4+4) = 2/7 +2/12 = 19/42 ≈ 0.4524
For n=2, the value of T2 is ...
T2 = 2/(4+2+1) = 2/7 ≈ 0.2857 . . . . . 1/(3n) less than the value of Sn
Both of these values are less than π/(3√3) ≈ 0.6046.
The correct answer choices are ...
A) Sn < π/(3√3)
D) Tn < π/(3√3)
__
Additional comment
For the purpose here, it is not necessary to determine the limiting value of either Sn or Tn. It is only necessary to demonstrate which side of the given value the terms of either sequence lie.
<95141404393>
b – 12 = 36
A.b = 34
B.b = 48
C.b = 26
D.b = 28
Answers
Which of the following polyhedra have the same volume?
Select each geometry shape which have the same volume.
A.
A hemisphere with a radius of 2 cm.
B.
A sphere with a radius of 14 cm.
C.
A cone with a radius of 2 cm and a height of 4 cm.
D.
A cylinder with a radius of 13 cm and a height of 13 cm.
Answers
Answer:
A and C
Step-by-step explanation:
We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.
__
A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.
So, the only figures that might have similar volumes are the hemisphere and the cone.
HemisphereV = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³
ConeV = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³
__
The hemisphere (A) and the cone (C) have the same volume.
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.
On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Which graph represents g(x)?
On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).
On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).
Answers
it goes through the point (2, 10), has a vertex at (5, 1) and goes through the point (8, 10)
What are the domain and range of the function f(x) = 3x + 5
Answers
Step-by-step explanation:
Here,let x = 1,2,3 and 4
Then,
Domain =(1,2,3,4)
Again,
f(1)= 3*1 + 5
=3 + 5
=8
f(2)=3*2 + 5
=6 + 5
=11
f(3)=3*3 + 5
=9 + 5
=14
f(4)=3*4 + 5
=12 + 5
=17
Therefore, Range=(8,11,14,17)
solutions answer equations
Answers
Answer:
x² - 6x = 7
x² - 6x + 9 = 7 + 9
(x - 3)² = 16
x - 3 = ± 4
x - 3 = 4 and x - 3 = -4
x: {-1, 7}
Largest value of x = 7
Smallest value of x: -1
I hope this helps!
Which of the following is the correct factorization of the polynomial below?
64x^3 + 27
A. (16x + 8)(3x^2 - 12x + 9)
B. (4x + 3)(16x^2 - 12x + 9)
C. (3x^2 + 4)(3x - 16x + 16)
D. The polynomial is irreducible.
Answers
they easiest way to find the right answer is to look at the 2 first terms and checking if they equal 64x³
doing so:
A:
48x³+...
B:
64x³+...
C:
9x³-48x³+...
= -39x³+...
-> the answer should be B, to make sure this is the right answer, you can just solve B
B:
(4x+3)(16x²-12x+9)
= 64x³- 48x²+36x+48x²-36x+27
= 64x³+27
-> answer B is correct
PLEASE HELP PLEASE HELP I WILL GIVE BRAINLIEST
Answers
Answer:
Jenna's line would be: C Line L
Step-by-step explanation:
The x coordinates and y coordinates from Jenna's table matches up with the points on Line L. Hope this helped! :)
Question 5 of 10
Factor the polynomial: x(3x + 5) - 4(3x + 5)
A. -4x(3x + 5)
B. (3x + 5)(x + 4)
C. 4x(3x + 5)
D. (3x + 5)(x-4)
HURRY PLEASE
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Take (3x + 5) common in there :
[tex]\qquad \tt \dashrightarrow \:x(3x + 5) - 4(3x + 5)[/tex]
[tex]\qquad \tt \dashrightarrow (3x + 5) (x - 4)[/tex]
So, choice D is correct
HELPPP PLS .
A cube is 10 inches tall. What is the width of the cube ?
Answers
Answer:
Width = 10 inches
Step-by-step explanation:
A cube is a six-sided shape where each side consists of a square. Since the length of a square is the same measure of the width, then the cube will "work the same way", and the length, width, and height of the cube will all be the same length.
A vet is preparing a diet for a group of dogs. Each serving should be no larger than 8
ounces and must contain at least 29 units of Nutrient I and at least 20 units of Nutrient II.
The diet will be prepared from a combination of 2 brands, brand A and brand B. Each ounce
of brand A contains 3 units of Nutrient I and 4 units of Nutrient II. Each ounce of brand B
contains 5 units of Nutrient I and 2 units of Nutrient II. Brand A costs 3 cents/ounce and B
costs 4 cents/ounce. Determine how many ounces of each brand of dog food should be used
per serving in order to meet the given requirements at a minimum cost.
Answers
Four identical circles are lined up in a row with no
gaps between them such that the diameters for a
segment that is 68 centimeters long. What is the
combined area of all the circles to the nearest
hundredth? Use 3.14 for Pi
Answers
Answer: 907.46
Step-by-step explanation:
Read the power and then check all that apply.
34 = 3 × 3 × 3 × 3
Answers
3 to the fourth power is 81
Match each value to what it represents. 25 = 32 1. 32 power 2. 5 exponent 3. 2 base
Answers
Answer:
The power is 32 because that is what 2 to th 5 is , 2 is the base as its the number being multiplied 5 times which leaves 2 as the exponent.
What is the smallest number which is reversed when 2 is added to its double?
Answers
Answer:
We know that to reverse a number, we should swap the numbers in TENS and ONES position. Therefore, the general form of its reverse 'ba' is (10 \times b) + a. Let us try to find the sum of both these numbers. Therefore, the sum of two-digit numbers and their reverse is always a multiple of 11.
Step-by-step explanation:
#carryonlearning
Brainlest me please
The fastest helicopter in the world is the CH-47F Chinook, with a maximum speed of 315 km/h. What distance can it fly in 12 minutes?
Answers
Answer:
63 km
Step-by-step explanation:
Given :
Speed = 315 km/hTime = 12 minutesSolving :
Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.
There are 60 minutes in an hourTherefore, 12 minutes is equal to :12/60 hours1/5 hours0.2 hoursCalculating distance
Distance = Speed x TimeDistance = 315 km/h x 0.2 hDistance = 63 kmAnswer:
frist convert 315k/h into m/s
then convert 12min into sce
=12*60
=720
distance = v*t
=315*720
=226800m
If p(x)=x3-1 then find p(1) and P(-1)
Answers
Step-by-step explanation:
p(x)=x³-1
p(-1)=(-1)³-1=(-1)-1=(-2)
p(-1)=(-2)
p(1)=(1)³-1=1-1=0
p(1)=0
Using the chart, determine which college is the LEAST expensive.
Answers
Answer:
college c
Step-by-step explanation:
bc its the least amount of money and has the second highest loan default
i need help with this
Answers
Answer:
Step-by-step explanation:
Circumference is given by the formulas :
[tex]2\pi r[/tex] or [tex]\pi d[/tex]
Since we are given the diameter we can use the second one :
We are told to use 3.14 for π :
C = (3.14)×(16)
C = 50.24
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
To work out r we simply half the diamter:
16÷2 = 8
Now we put this into the area formula:
π(8)² = 64π
We are told to use 3.14 as pi so:
64π = 64×3.14 = 200.96
Answer:
Circumference = 50.24 in
Area = 200.96 in²
Step-by-step explanation:
First, let us find the circumference of the circle.
For that, let us use this formula.
C = π d
Given that,
d ⇒ diameter ⇒ 16 in
Let us find now.
C = π d
C = 3.14 × 16
C = 50.24 in
And now let us find the area of the circle.
Before that, let us find the radius.
d = 2r
16 = 2r
Divide both sides by 2.
8 in ⇒ radius
Let us use the below formula to find the area of the circle.
A = π r²
A = 3.14 × 8 × 8
A = 200.96 in²
How many different triangles can you make if you are given the measurement for two angles and the length of a side that is NOT shared?
Answers
Answer:
One triangle
Step-by-step explanation:
I hope this helps :)
how do I get help with my math work?
Answers
Answer:
post your question and someone will respond
