Answers
Answer:
[tex]\angle\ ABC=70[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]
[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]
[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]
[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]
[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]
[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]
Related Questions
Find the area of the regular polygon. Round to the nearest tenth if
necessary.
7.5
5.1
Answers
Answer:
that will be 25 if you put 30 in the thing
If h(x) = 2x² - 5 find h(4x²)
Answers
Answer:
8x^4-5
Step-by-step explanation:
8x^4-5
Just substitute 4x^2 into x
Answer:
= 32x^4-5
Step-by-step explanation:
A triangle has coordinates at A(-2,0) B(-4,4) and C(1, 6). What are the new locations of the coordinates after a dilation by a scale factor of 4?
Answers
Answer:
Step-by-step explanation:
Simplify: [tex](8^{\frac{2}{3}) ^{4} }[/tex]
Answers
[tex]{ \large{ \sf{ \implies{(8 {}^{ \frac{2}{3} }) {}^{4} }}}}[/tex]
[tex]{ \large{ \sf{ \implies( \sqrt[3]{8} {}^{2} ) {}^{4} }}}[/tex]
[tex]{ \large{ \sf{ \implies{{(2 {}^{2} ) {}^{4} }}}}}[/tex]
[tex]{ \large{ \implies{ \sf{4 {}^{4} }}}}[/tex]
[tex]{ \large{ \therefore{ \sf{256} \: \: ans.}}}[/tex]
Mclane is playing a game where you get 5 points for correct answers and lose 3 points for incorrect answers. If he gets 6 questions correct and 7 questions incorrect, what was his final score?
Answers
Answer:
9
Step-by-step explanation:
final score = total points for correct answer - total points for wrong answer
total points for correct answer = 5 x 6 = 30
total points for wrong answer = 7 x 3 = 21
30 - 21 = 9 points
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answers
Answer:
points srry
Step-by-step explanation:
Write an equation of the line and interpret the slope.
Answers
Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700
Jenny sells two types of lanyards, solid color or
striped. She charges more for striped lanyards than
for solid color lanyards. The amount of money, in
dollars, that she collects from selling x lanyards of
one type and y lanyards of the other type can be
modeled by the expression 3x + 5y.
What does the variable y represent in this
situation?
A. The number of solid color lanyards sold.
B. The number of striped lanyards sold.
C. The selling price of one solid color lanyard.
D. The selling price of one striped lanyard.
Answers
Answer: The answer is B. The number of striped landyards sold.
Step-by-step explanation:
is 4/20 and 3/12 proportional
Answers
Answer:
no it is not
Step-by-step explanation:
you would have to get a common denominator which would be 60 so 12 times 5 is 60 and 20 times 3 is 60
then you multiply 4 by 3 and thats 12 and 3 times 5 is 15 so no they arent perportional
Answer Explanation: Simply do cross multiplication. If the numbers are not the same number, the ratios are not proportional. 48 does not equal 60. SEE IMAGE
Find the area of the parallelogram
Answers
Answer:
18 x 16 = 288
Step-by-step explanation:
Formula of a parallelogram:
BH
(B x height) Your base times your height.
Robert has x books. Marie has twice as many books as Robert has. Together they have 18 books. Which of the following equations can be used to find the number of books that Robert has?Choose one multiple choice answer
x+x+2=18
x+2x=18
2x=18
Answers
Answer:
2x=18
Step-by-step explanation:
2 times 9 equals 18 and if they both have 18 together the only anwser would be 2x=18 x=9 Another way I could put it to make it more simple is 2X9=18 or 29=18
yoo can some on help im just a dud that suck a ixl
Answers
is x²-x divisible by 2?
Answers
Answer:
Yes
Step-by-step explanation:
There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.
Answer:
Step-by-step explanation:
No, because [tex](x^2-x)/2[/tex] does equal [tex]x^2/2-x/2[/tex]. Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.
Find the surface area of this prism.
Round to the nearest tenth.
Answers
Answer:
The answer is 493.3
Step-by-step explanation:
6.72 x 12.7 x 5.78 = 493.28872
And 493.28872 rounded to the nearest tenth is 493.3 because the original number in the tenth place is 2 and then the digit before that is 8 which in this case is your rounding digit. Round up If the number is greater than 5 and round down if its less than 5. In this case its greater than 5 to that leaves you with 28 so now you have 493.28, 28 rounded to the nearest tenth is 30 and just take the 0 away, as if it didn't exist.
The surface area of the prism is 395 square centimeter.
What is volume?Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write volume as -
V = ∫∫∫ F(x, y, z) dx dy dz
Given is to fins the surface area of the prism given below.
The given prism is a cuboid. We can write the surface area of the cuboid as -
V = 2(LB + BH + LH)
V = 2(12.7 x 5.78 + 5.78 x 6.72 + 12.7 x 6.72)
V = 2(73.4 + 38.8 + 85.344)
V = 395 square centimeter
Therefore, the surface area of the prism is 395 square centimeter.
To solve more questions on Prisms, visit the link-
https://brainly.com/question/22147194
#SPJ2
What is 53/99 as a decimal
Answers
Answer:
0.53535353535354
53/99 as a decimal is 0.53535353535354.
Step-by-step explanation:
Just Divide 53 into 99
Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!! if it DID , FRIEND me!!
on Sundays,Crystal has breakfast at 8:30 a.m. her tennis lesson starts an hour and last for an hour. what time is her tennis lesson over?
Answers
Answer:
it ends at 10:30 am
Step-by-step explanation:
if you add 2 hours to 8:30 am it equals 10:30 am
pls answer this real answers if its right ill give brainliest
Answers
Answer: 7.5 batches
Step-by-step explanation:
60/6 is 10, so she needs to make 10 batches in total.
10-2.5=7.5
Answer:
no. of muffins = 60 muffins
no of muffins in each batch = 6 muffins
no. of batches which got over = 2.5 batches
no. of muffins baked = 6 * 2.5 = 15
no. of muffins to be baked = 60 - 15 = 45
no. of batches required to bake 45 muffins = 45 / 6 = 7.5
hope this answer helps you!
please mark as brainliest... thank you!
3÷ 1/2 1÷1/4 1/2÷2 1/3=4 2÷ 1/6 1/4÷3
Answers
Answer: [45]
Step-by-step explanation:
Had this same question
cuanto mide diametro si el radio es de 11 pulgadas? ;-;
Answers
Answer:
14 pulgadas
Step-by-step explanation:
a 7 pulgadas, entonces el diámetro es 2(7) = 14 pulgadas.
Solve the system of equations.
14x + 5y = 31
2x – 3y = -29
2 =
y =
Answers
Answer:
X,y=83/52 ,45/26
Step-by-step explanation:
just look up your answer and you will find the step by step. Hopefully this helped :)
Given the following group of numbers, 8, 2, 9,4, 2, 7, 8, 0, 4, 1, which of the following
is/are true?
I. The mean is 5.
II. The median is 4.
III. The mode is 2.
Answers
Answer:
III. The mode is 2
Step-by-step explanation:
Mean: (8+2+9+4+2+7+8+0+4+1)/10 = 45/10 = 4.5
Median: (2+7)/2 = 9/2 = 4.5
Mode: There is no mode since 2 and 8 both appear twice (in other words, since they have the same frequency, it's bimodal)
The closest possible choice is III. The mode is 2, but keep in mind that since the data set is bimodal, there is no single mode.
Mean is 45/10 is 4.5
Median is4
The correct answer is only 2
The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?
Answers
Answer: [tex]2514.28\ cm^3[/tex]
Step-by-step explanation:
Given
The height of the cylinder is [tex]h=8\ cm[/tex]
Circumference of the base is [tex]20\pi \ cm[/tex]
suppose 'r' is the radius of the cylinder
[tex]\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm[/tex]
The volume of a cylinder is [tex]V=\pi r^2h[/tex]
[tex]\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3[/tex]
What is the area of the circle? I need help please!
Answers
Answer:
Area is π(Pi) × Radius².
Soo, 3,14×5×5=78,54
I hope this is right
A rectangular prism has a volume of 220 cubic cm and a height of 5 cm it's base might have side that measure A. 11 cm and 4 cm B. 6 cm and 8 cm C. 12 cm and 3 cm D. 14 cm and 5 cm
Answers
Answer:
The answer is A 11 and 4= 44
Step-by-step explanation
What is the length of the arc by a central angle of 85 degrees and a radius of 8cm to the nearest tenth of a cm?
Answers
9514 1404 393
Answer:
11.9 cm
Step-by-step explanation:
Arc length is given by ...
s = rθ . . . . . . θ is the central angle in radians
Your central angle is 85°, so is (85/180)π radians = 17/36π radians.
Then the arc length is ...
s = (8 cm)(17/36π) ≈ 11.9 cm
The length of the 85° arc is about 11.9 cm.
The passengers on Fly Right Airlines have their choice of snacks: peanuts, raisins, or granola. They also have the choice of four beverages: juice, water, milk, or coffee. All choices are equally popular. What is the probability a passenger would choose granola and juice? .
Answers
Answer:
The probability of them picking granola is 1/3
The probability of them choosing juice is 1/4
Step-by-step explanation:
Hope it helps :)
5. Which two triangles in problems 1-4 are similar? Explain.
Help please
Answers
Answer:
Triangle 1(ABC) and Triangle 3(XYZ) are similar since all their angles are equal
In Traingle XYZ m of angle Y is 85 degree..
Hope it helps u...
What is the absolute value of -8.2?
Answers
Answer:
8.2
Step-by-step explanation:
YOU GOT A FISH TANK FOR YOUR BIRTHDAY. BEFORE YOU HEAD OFF TO THE PET STORE TO BUY SOME FISH TO FILL YOUR TANK, YOU WANT TO CALCULATE THE TANK'S VOLUME. THE FISH TANK IS A RECTANGULAR PRISM WITH A HEIGHT OF 8 CM, A WIDTH OF 7CM, AND A LENGTH OF 15 CM. WHAT IS THE VOLUME OF THE FISH TANK?
Answers
Answer:
Volume of the fish tank = 840 cm³
Step-by-step explanation:
Given:
Length of rectangular prism tank = 15 cm
Height of rectangular prism tank = 8 cm
Width of rectangular prism tank = 7 cm
Volume of the rectangular prism tank = Length × Width × Height
V = 15 × 7 × 8
V = 840 cm³
Volume of the fish tank = 840 cm³
Cuanto costara alforbrar un cuarto de 12 pies de ancho por 15 de largo si la alfombra vale 20.80 la yarda cuadradas
Answers
Respuesta:
416
Explicación paso a paso:
El Área de la habitación:
Largo * ancho
Longitud = 15 pies
Ancho = 12 pies
Área de la habitación = Largo * Ancho
Área de la habitación = 15 pies * 12 pies
Área de la habitación = 180 pies²
Conversión del área de la habitación en patio²
Dividir el área en pies² por 9
180 pies² ÷ 9 = 20 yardas²
Costo de la alfombra por yarda cuadrada = 20.80
Costo total de la alfombra = 20.80 * 20 = 416
