PLs, help me with this math question, and please answer if you only know it.
Answers
Answer:
Step-by-step explanation:
This is quite a doozy, so try and follow along. If you don't know your circle stuff well, it will be more difficult for you to understand how all this comes together.
First, we were given that angle CBD = 55. That means that angle CED is also 55 since they are both inscribed angles and they both intercept the same arc, arc CD. Angle BFC is congruent to angle 5 because they are vertical and vertical angles are congruent, so that means that triangle BFC is congruent to triangle EFD because of Angle-Angle-Side. Now that we got that out of the way, let's move on. We will come back to that in a bit.
Angle 1 intercepts arc BE and since angle 1 is an inscribed angle, it is half the measure of its intercepted arc. Therefore,
∠1 = 25° ; angle BCE also equals 25 degrees since they are both inscribed and they both intercept the same arc (again, arc BE).
If angle BCE is 25, and angle CBD is 55, then angle F, by the Triangle Angle Sum Theorem, must equal 180 - 25 - 55 = 100. And if Angle F = 100, then
∠5 = 100° . Angles 4 and 5 are supplementary, therefore,
∠4 = 80°
Since angle CBD was given as 55 and is an inscribed angle for arc CD, then arc CD is twice the measure of its inscribed angle and arc CD is 110 degrees. Angle 6, then, is one-half the difference of arc CD and arc BE so
∠6 = 30°
Angles 2 and 3 are congruent since they are both inscribed and they both intercept the same arc (arc DE); and since triangles BFC and EFD are congruent, by CPCTC, sides BF and EF are congruent...which means by the IsoscelesTriangle Theorem, angle 2 and angle BEC are congruent. 180 - 80 = 100 and divide that in half to get that
∠2 ≅ ∠3 = 50°
Lastly, angle 7 is half the measure of its intercepted arc (arc BE, given as 50), therefore,
∠7 = 25°
Related Questions
if one of the factor of x²+x-20 is (x+5) find other factor
Answers
Answer:
Step-by-step explanation:
x^2+x-20
=x^2-(5-4)x-20
=x^2-5x+4x-20
=x(x-5)+4(x-5)
=(x-5)(x+4)
therefore the other factor is (x+4)
Answer:
(x - 4)
Step-by-step explanation:
METHOD 1 (Long Division Method):-
[See the attachment for full solution of Method 1]
One factor of x² + x - 20 is already given. To find the other factor , divide the polynomial with the factor and the quotient you'll get after dividing will be the second factor of the polynomial.
METHOD 2 (Factorising) :-
Factorise x² + x - 20.
Split the middle terms.[tex]=> x^2 + 5x - 4x - 20[/tex]
Take 'x' common from first two terms and take '-4' common from last two terms.[tex]=> x(x + 5) - 4(x + 5)[/tex]
Take '(x+5)' whole common from the expression.[tex]=> (x + 5)(x - 4)[/tex]
(x + 5) & (x - 4) are the factors of x² + x - 20.
PLEASE!! I JUST REALLY NEED SOME HELP RIGHT NOW!! T∆T
Using the 45o -45o -90o triangle theorem, solve this triangle.
Answers
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45=opposite/hypotenuse
1/[tex]\sqrt{2}[/tex]=l/11[tex]\sqrt{2}[/tex] (do cross multiplication)
l[tex]\sqrt{2}[/tex]=11[tex]\sqrt{2}[/tex]
l=11[tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]
l=11
hey! please help i’ll give brainliest
Answers
Answer:
A (Option 1)
Step-by-step explanation:
Answer:
A
hope this helps
have a good day :)
Step-by-step explanation:
Which is closest to the volume of the figure shown below?
7 mi
2 mi
351.9 cubic mi.
Ob
117.3 cubic mi.
Ос
29.3 cubic mi.
Od
7.3 cubic mi.
Answers
Answer:
c. 29.3 cubic mi
Step-by-step explanation:
Applying,
V = πr²h/3.............. Equation 1
Where V = volume of the cone, r = radius of the circular base, h = height of the cone, π = pie
From the diagram,
Given: h = 7 mi, r = 2 mi
Constant: π = 3.14
Substitute these values into equation 1
V = 3.14(7×2²)/3
V = 29.3 cubic mi
Hence the right answer is c. 29.3 cubic mi
Heights of players on basketball team
qualitative Or quantitative?
Answers
Answer:
It is Quantitative.
Step-by-step explanation:
Quantitative data is information about quantities; information that can be measured with numbers.
Qualitative data describes qualities or characteristics; information collected using questionnaires, interviews, or observation, and frequently appears in narrative form.
Examples:
It is 25° Celcius today. - Quantitative
I drooled after smelling freshly baked cookies. - Qualitative
Tips:
Think of Quantitative as Quantity; numbers.
Think of Qualitative as Quality; description/characteristics.
Question 54
Jonathan wants to fence off a rectangular area for his dog. He has 24 metres of fencin
he wants the largest possible area what should the dimensions of the fenced off area be
Answers
Answer:
6 + 6 + 6 + 6= 24
Step-by-step explanation:
ad four sixes
a dime is dropped from a building at 1.024 ft . if the equation for height as a function of time is h(t)=-16t^2+ initial height where is t is time in seconds and h(t) is height in feet, how many seconds will it take for the dime to hit the ground?
Answers
Answer:
The dime hits the ground after 8 sec.
Step-by-step explanation:
Set h(t) = -16t^2 + h(0) equal to 0: -16t^2 + 1,024 ft = 0, or:
16t^2 = 1,024 ft, or:
t^2 = 64 ft^2
Then t = +8 sec
The dime hits the ground after 8 sec.
Of the first 52 contestants, exactly 12 contestants win the game. How does the actual number of winners compare to the expected number of winners? What needs to happen for the experimental probability to approach the theoretical probability? Explain
pls help me
Answers
Answer:
Expected number of winners with 52 contestants:52*5/13 = 20.The experiment result is almost twice less (12 vs 20).In order to change the results of experimental probability some of the letters may need swapped, (probably the letters are in alphabet order) but for this we need more data.
Step-by-step explanation:
Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times. Theoretical probability is probability that is determined on the basis of reasoning. Probability is a value between (and including) zero and one.
also whats your discord
HELP:::: Find the volume
Answers
Answer:
94,080 cm^3
Step-by-step explanation:
V= L • W • H
V= 42 • 35 • 64
V= 94,080
Hope this helps, good luck!
Step-by-step explanation:
42x35= 1,470
1,470x64= 94,080cm³
Hope it helped!
Determine the value of x.
A) 12
B) 2√3
C) 12√3
D) 6√3
Answers
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 6 )
x = 6[tex]\sqrt{3}[/tex] → D
A baker is selling pies his first customer buys 1/2 of all the pies plus 1/2 of a pie. His second customer then buys 1/2 of the pies plus 1/2 of a pie the last customer buys 1/2 of the pies plus 1/2 pie. he has no more pies. how many did he start with?
Answers
Answer:
7 pies
Step-by-step explanation:
The first customer buys half of the pies (3-1/2) plus 1/2 of a pie (technically 4 pies in total) -----> there are 3 pies left.
The second customer buys half of the pies leftover (1-1/2) plus another 1/2 (technically 2 pies in total) -----> this leaves 1 pie.
The last customer buys half of the pies leftover (1/2) plus another 1/2 (technically 1 pie in total) -----> this leaves 0 pies.
Find the length of arc XW. Round your answer to the nearest hundredth.
Answers
Answer:
15.08 m
Step-by-step explanation:
The angle XZW :
XZW + 108° = 180°
XZW = 180° - 108°
XZW = 72°
Length of an arc = θ / 360 * πd
d = diameter = XV = 24
Length of arc XW = (72/360) * π * 24
Length of arc XW = 15.0796
Length of XW = 15.08 m
Answer:
15.08
Step-by-step explanation:
How do you find the area of a circle???
Answers
triangle 15 13 b. .................................
Answers
Answer:
d) 7.5
Step-by-step explanation:
15sqrd= 225
13sqrd= 169
225-169= 59
[tex]\sqrt{59}[/tex]=7.5(1dp)
The number of patients treated at Dr. Frank's dentist office each day was recorded for nine days: 18,
19, 19, 4, 14, 8, 22, 3, 1. Using the given data, find the mean for this sample.
A. 12
B.19
C. 29
D. 14
Answers
Answer: 12
Step-by-step explanation: The mean is basically the average. So, start by lining up the numbers from smallest to largest. 1, 3, 4, 8, 14, 18, 19, 19, 22. Then, add them all together. You get 108. Then, divide 108 by the number or numbers in the data set, which in this case is 9. So 108 divided by 9 = 12. Your answer is A. --> 12
Hope that helped!!
what is the Q3 of the following set of data? 106,117,152,132,148,101,124,110,167,139,112
Answers
Answer:
148
Step-by-step explanation:
First, sort the list in order from smalles to largest:
101, 106, 110, 112, 117, 124, 132, 139, 148, 152, 167
There are 11 numbers in the list, so the median is the 6th number, 124.
The third quartile (Q3) is in the middle of the right-hand half:
132, 139, 148, 152, 167
2.5kg of sultana brand costs $4.80 and 1.5 kg of Weetabix costs $2.95, show with working which is the best buy?
Answers
2.5kg of sultana brand cost 4.80$
price of 1 kg sultana brand = 0.520$ per kg
1.5 kg of weetabix costs $2.95
price of 1 kg weetabix brand = 0.509$
The best buy is weetabix !
Write True or False. You can use the measures of the angles formed by two lines and a transversal to determine whether the two lines are parallel.
Answers
Answer:
I think that the answer is true (explanation might not be 100% accurate)
Step-by-step explanation:
Given that for 2 lines to be parallel, they have to never intersect at any point, meaning they both have to be straight and "facing" the same way. If either line has a tilt/angle of any sort, then they are not parallel.
What is the slope (rate of change)
Someone please help me with this im not good with graphs.
Answers
Answer:
1
Step-by-step explanation:
1. To get the slope, you need to divide the rise by the run.
2. Pick two points each on the X-axis and pick corresponding points on the Y axis and then name them y2, x2 and y1, x1.
3. The rise will be y2-y1
4. The run will be x2-x1
5. Therefore, the slope is rise/run = (y2-y1)/(x2-x1)
In this case, let's take 2 on the X axis as x2 and the corresponding point on the Y axis as y2 which in this case happens to also be 2.
Now, let's take 1 on the X axis as x1 and the corresponding point on the Y axis as y1 which is also 1.
now using the formula (y2-y1)/(x2-x1), we get: slope = (2-1)/(2-1) = 1
Find area of the composite figure..
Answers
Answer:
627square inches
Step-by-step explanation:
Area of the composite figure.. = area of triangle + area of parallelogram
Since the triangle is an equilateral triangle;
Area of the triangle = r²sintheta
Area of the triangle = 18²sin60
Area of the triangle = 324sin60
Area of the triangle = 324(0.8860)
Area of the triangle = 280.584 square in
Area of the triangle = 281 square inches
Area of parallelogram = absintheta
Area of parallelogram = 20(20)sin60
Area of parallelogram = 400(0.8660)
Area of parallelogram = 346.4square inches
Area of parallelogram = 346 square inches
Area of the figure = 346 + 281
Area of the figure = 627square inches
Mike has a total of 50 quarters and dimes. The coins total value is $10.55. How many quarters
does he have?
PLEASE DUE IN 10 MINUTESSS
Answers
Answer:
Mike will only need 42 quarters to make 10.50
Step-by-step explanation:
Two square pyramids are similar.
The sides of the bases are 4 cm and
12 cm. The height of the smaller
pyramid is 6 cm. Find the height of
the larger pyramid.
Answers
Answer:
18 cm
Step-by-step explanation:
Since the pyramids are similar then the ratio of corresponding sides are equal, that is
12 ÷ 4 = 3
Then the height of the larger pyramid is 3 times the height of the smaller.
height of larger pyramid = 3 × 6 = 18 cm
Help..? Pleaseee , it has to do with the Pythagorean Theorem. But I have no idea how to do it
Answers
a ²+ b ² = c ²
a and b are the shorter sides, while c is the hypotenuse, or longest side. Let’s say the side we are looking for is “b”.
Let’s first rearrange the equation, then sub in.
a ²+ b ² = c ²
b ² = c ²- a ²
b = √ (c ²- a ²)
b = √(17 ²- 15 ²)
b = √(289-225)
b = √ 64
b = 8
Se va a colocar una escalera que mide 5 metros (m) de longitud sobre una pared. El fabricante de la escalera recomienda que, por seguridad, el ángulo que forme la escalera con el piso sea de 78°, ¿Cuál será la distancia sobre el piso del pie de la escalera a la pared?
Answers
Answer:
4.9 m
Step-by-step explanation:
Resolvemos la pregunta anterior usando la función trigonométrica de seno
sin θ = Opuesto / Hipotenusa
θ = 78 °
Hipotenusa = Longitud de la escalera = 5 m
Opuesto = Distancia sobre el suelo = x
sin 78 = x / 5m
Multiplicar cruzada
x = sin 78 × 5 m
x = 4.8907380037m
Aproximadamente
= 4.9 m
someone PLEASE HELP if you know what you're talking about!! i really need this!
The circumference is about ___ m.
Use 3.14 for π.
Answers
Answer:
The circumference is:
14.6 x 3.14 = 45.844 (m)
Step-by-step explanation:
Helpppppppppppppppppppp
Answers
Answer:
10 games for $25
Step-by-step explanation:
level up: y = 1.5x + 10
infinity arcade: y = 2x +5
x = # of games
1.5 (10) + 10 = 2 (10) + 5
15 + 10 = 20 + 5
25 = 25
PLEASE HELP DUE IN AN HOUR NO LINKS PLEASE.
Answers
Answer:
y = 3/2 when x = 15
Step-by-step explanation:
y = k / √1+x
2 = k / √1+8 = k/3
k = 6
y' = 6 / √1+15 = 6/4 = 3/2
What are the areas of #6 and #8?
Please help me out
Answers
Answer:
Number 6 is 295 ft^2
Number 8 is 24 m^2
Answer:
[tex]unshadded \: region = {2}^{2} + {2}^{2} \\ = 4 + 4 \\ = 8 \\ totol \ \: region = 8 \times 4 = 32 \\ \\ area \: of \: shadded \: region = 32 - 8 = 24[/tex]
Jack tool out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answers
Answer:
A = $32,732.58
A = P + I where
P (principal) = $25,000.00
I (interest) = $7,732.58
Step-by-step explanation:
Given data
Time= 6 years
Principal= $25,000
Rate= 4.5%
First, convert R as a percent to r as a decimal
r = R/100
r = 4.5/100
r = 0.045 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 25,000.00(1 + 0.045/12)^(12)(6)
A = 25,000.00(1 + 0.00375)^(72)
A = $32,732.58
ASAP
-WILL MARK BRIANIST
Answers
its A, C, and E
Good Luck
Answer:
I got A and C
Step-by-step explanation:
The variable in answer choice A would be when it says "An elephant eats 5 tons of food every day". In C the the number of min is reverse multiplies by the number of tests.