Answers
Answer:
51°
Step-by-step explanation:
the given angle of 102° is the arc angle between the 2 segment end points on the circle arc.
and this arc angle is always a seen from the center of the circle.
by moving the reference point back (to the other side of the circle) to the circle arc that angle is cut in half.
you could move that point to anywhere on the arc of the circle outside of the 2 endpoints, and the angle stays always the same.
FYI - now, if you move that point into the top half-circle between the 2 end points, the perspective flips around, and that angle becomes half of the 360-102 = 258° arc angle.
Related Questions
The lengths of two sides of a triangle are 5 inches and 8 inches. Which of the following lengths could be the length of the third side of the triangle? Select all that apply.
Answers
By using the triangular inequality, we conclude that the other side must measure more than 3 inches and less than 13 inches.
Which values could the length of the third side take?
Remember that the triangular inequality says that the sum of any two sides on a triangle is larger than the other side of the triangle.
If we define the missing side of the triangle as x, then we must have:
5 + x > 8
8 + x > 5
8 + 5 > x
From the third inequality we get the upper bound:
13 > x.
From the first inequality we get the lower bound:
x > 8 - 5 = 3
Then:
3 < x < 13
This means that the other side of the triangle must measure more than 3 inches and less than 13 inches.
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Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it
Answers
The value that could replace variable x in the table is (15 - m)8
How to the value of x in an expression ?The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.
From the table, the time to answer the whole multiple choice question is as follows:
total time = 3m
From the table, the total time taken to answer the free response question is as follows:
total time = (15 - m)8
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Answer: I believe it's C 8(15 - m)
Step-by-step explanation:
Which of these is a recurring cost of car ownership?
A. Windshield replacement
B. Driver's license application fee
C. Gas
O D. Bumper replacement
Answers
A number x is at least 5 and is at most 8
Answers
Answer:
[tex]5 \leqslant x \leqslant 8[/tex]
please help will give brainlest
Answers
Answer:
18
Step-by-step explanation:
Here,
given,
a=3 and b=6
Then
4a+b=?
Put respective values on 4a+b
4*3+6
=12+6
=18
Answer:
18
Step-by-step explanation:
step 1:4a+b=
step 2:(4x3)+6=
step 3:12+6=
answer=18
hope this helps
The radius of a circle is 13 ft. Find its area in terms of pi.
Answers
Answer:
The area of the circle would be 530.93 sq ft.
Step-by-step explanation:
The formula is A = π r². We know that the radius or r is 13, meaning that the new equation is A = π 13². 13 to the second power is 169 meaning that the formula would now be A = π(169). 169 times π is 590.93 getting you your answer. I hope this helped! :)
A=pi radius squared
A=(13x13)pi
A=169pi
The question asked to answer in the terms of pi, so you leave pi in the answer, don’t multiply it.
The ratio of adults to children at a party is 3:5
What fraction of the party are adults?
There are 72 people at the party.
Work out the number of children at the party.
Answers
The ratio of adults to children at a party is 3:5. There are 72 people at the party. Find out number of children.
✭ Explanation -:In this question we are provided with the ratio of adult and children 3 : 5 respectively. It is given that 72 people are there at the party. We are asked to calculate number of children.
We are asked to calculate number of children
Let us assume number of adults and children as 3x and 5x
It is given that total number of people are 72.
According To Question
3x + 5x = 72
→ 8x = 72
→ x = 72/8 = 9
x = 9
Adults = 3x = 3 × 9 = 27 people
Children = 5x = 5 × 9 = 45 people
Hence, there are 45 children in the party.(Refer to the attached image)
Answers
[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Given following:
A = 56°B = 77°a = 38 mb = ? mSolve for b (distance between school and mall):
[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]
[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]
[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]
Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each piece. Juan has a piece of string that is 12 as long as Aisha's seventh-longest piece. (Note: The problem states the seventh-longest piece, not the seventh-longest length.)
How long is Juan's piece of string?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
2 5/8 inches
Step-by-step explanation:
There are 2 pieces 5 3/4 inches long.
There is 1 piece 5 1/2 inches long.
There are 4 pieces 5 1/4 inches long.
The seventh longest piece is one of the pieces measuring 5 1/4 inches.
Juan's piece is 1/2 as long as 5 1/4 inches.
1/2 × 5 1/4 inches = 1/2 × 21/4 = 21/8 inches = (16/8 + 5/8) = 2 5/8 inches
A cell phone tower that is 70 meters tall is built on level ground
and casts a shadow 230 meters long at a particular moment.
find the angle of elevation of the sun relative to an observer
standing at the tip of the shadow.
Answers
The angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
A cell phone tower that is 70 meters tall is built on level ground and casts a shadow 230 meters long at a particular moment.The angle of elevation will be calculated by applying trigonometric property in the triangle given below;-
[tex]tan\theta=\dfrac{P}{B}[/tex]
[tex]tan\theta=\dfrac{70}{230}[/tex]
[tex]\theta=tan^{-1} (\dfrac{70}{230})[/tex]
[tex]\theta[/tex] = tan[tex].^{-1}[/tex](0.3043)
[tex]\theta[/tex] = 16.9
Therefore angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
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what is x?
please help
Answers
Answer: the answer is x =4
Step-by-step explanation:
Answer:
35 I did this before
Step-by-step explanation:
If you roll a standard number cube 95 times, how many times do you expect the cube to show a one or a three?
Answers
Answer:
32 times
Step-by-step explanation:
the probability in getting a certain number is you first find out the chance of rolling one side on a die. There are six sides, and there is two numbers on it you want a 3 and a 1. so you would get 2/6 would be the fraction of what you what most likely get, so you would multiply 95 by 2/6 you get the correct answer
Work out the area of this circle.
Take pi to be 3.142 and give your answer in 2 decimal places.
Answers
Answer: 63.63 m²
Explanation:
Area of circle:
π(radius)²Here given:
radius: (diameter/2) = (9/2) = 4.5 m
π should be taken as 3.142
So area of circle:
3.142(4.5)² = 63.6255 ≈ 63.63 (rounded to two decimal place)Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the area of this circle.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
→ [tex]\bf{Area_{circle}=\pi r^{2}}[/tex]
Notice that we are asked to use 3.142 for [tex]\pi[/tex] (pi).
The radius isn't given to us; what we have instead is...the diameter.
To find the radius, we divide the diameter by 2.
[tex]\ddot\bigstar[/tex] Remember this...
[tex]\fbox{\bf{To\;find\;the\;radius,\;we\;divide\;the\;diameter\;by\;2}}[/tex]
Thus, the radius is
[tex]\bf{9\div2=4.5}[/tex]
Now substitute the values (3.142 for pi and 4.5 for r):
[tex]\bf{A=3.142\times4.5^{2} }[/tex]
Simplifying,
[tex]\bf{A=3.142\times20.25}[/tex]
Simplifying,
[tex]\bf{A=63.6255\:m}[/tex]
Rounding to 2 decimal places (D.P.):
[tex]\bf{A=63.63\:m}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students :)
if the sine ratio is given, then how can sin 0/2 be determined?
Answers
Step-by-step explanation:
If you know, the sine. You must find the cos ratio, using the Pythagorean trig theorem.
Next, you use the half angle identity for sin
[tex] \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos(a) }{2} } [/tex]
Example.
[tex] \sin( \alpha ) = \frac{ \sqrt{3} }{2} [/tex]
We must find
[tex] \sin( \frac{ \alpha }{2} ) [/tex]
First, use the Pythagorean identity
[tex] \sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) = 1[/tex]
[tex]( \frac{ \sqrt{3} }{2} ) {}^{2} + \cos {}^{2} (a) = 1[/tex]
[tex] \frac{3}{4} + \cos {}^{2} (a) = 1[/tex]
[tex] \cos {}^{2} (a) = \frac{1}{4} [/tex]
[tex] \cos( \alpha ) = \frac{1}{2} [/tex]
Now use the half angle identiy
[tex] \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} } [/tex]
[tex] = \frac{ \sqrt{1 - \frac{1}{2} } }{ \sqrt{2} } [/tex]
[tex] = \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } [/tex]
[tex] = \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2} [/tex]
So the answer for our example is 1/2
please answer this !!
Answers
uhm i dont know sorry but i can't help you
What percentage of 2 hours is 12 minutes?
Answers
Answer:
10%
Step-by-step explanation:
1. Convert 2 hours to minutes
2(60) = 120 min.
2.Calculate the percentage
[tex](\frac{12}{120} )(100)=10[/tex]
12 minutes is 10% of 2 hours
Hope this helps
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction A.The coefficient of the solution is 6.4, the difference of the original coefficients. B.The exponent of the solution is –12, the difference of the original exponents. C.The coefficient of the solution must be greater than or equal to one but less than 10. D.The quotient is 3.0 × 10-12 E.The solution is a very large number
Answers
The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The expressions are given below.
(9.6 x 10⁻⁸) and (3.2 x 10⁴)
Then the quotient of the expressions will be
⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)
⇒ (3 x 10⁻⁸) / (10⁴)
⇒ 3 x 10⁻⁸ x 10⁻⁴
⇒ 3 x 10⁻⁸⁻⁴
⇒ 3 x 10⁻¹²
Then the correct option is D.
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1 euro = $1.09 $1= 62 rupees Change 400 euros into rupees using these exchange rates.
Answers
Answer:
27,032 Rupees
Step-by-step explanation:
$1.09 x 400 = $436
$436 x 62 = 27,032
(Hope this helps and that it's not wrong ^-^)
which of the following is located over the center of the base of a regular pyramid
A vertex
B slant height
C face
D edge
Answers
Answer:
vertex
Step-by-step explanation:
The graph of y=cosx is translated by (30,-1). What is the equation of the translated graph?
Answers
The equation on the graph is shown (I really hope this helps)
Equation of the translated graph is;
⇒y = cos(x - 30) - 1
What is equation of translated graph?
Equation of the translated graph is solved as;
g(x) = f(x + k) + C
Where, k and C are points.
Given that;
The equation is;
y = cos x
Since, Graph of function y = cosx is translated by (30, -1).
So, Equation of translated graph will be;
y = cos(x - 30) - 1
Hence, The equation of the translated graph will be;
⇒ y = cos(x - 30) - 1
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Mo buys a house for £120 000 He sells the house for £150 000 Work out the percentage profit that Mo makes.
Answers
Step-by-step explanation:
profit amount=150000-120000
profit amount=30000
profit %= profit amount/cost price*100
therefore profit percent=30000/120000*100
there for profit %=25%
The percentage of profit will be equal to 25%
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
The profit percentage will be calculated as:-
Profit amount = 150000-120000
Profit amount = 30000
Profit %= profit amount/cost price*100
Profit percent=30000/120000*100
Profit percentage = 25%
Therefore the percentage of profit will be equal to 25%
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Over the last 3 months, Janet exercised a total of 101 hours. She exercised 4 hours more during the second month than the first month. In the third month, she exercised 3 hours less than the second month.
Create an equation that represents this situation, where h represents the number of hours Janet exercised during the first month.
Answers
In 1st month let she exercised h hours
in second month she exercised h+4 hours
in third month she exercised h+4-3=h+1 hours
Now
h+h+4+h+1=1013h+5=1013h=96h=32hoursAnswer:
Let's say the unknown variable is h
In 1st month let she exercised h hours
in the 2nd month she exercised h+4 hours
in the 3rd month she exercised h+4-3=h+1 hours
Now, to display the sequence:
h+h+4+h+1=101
3h+5=101
3h=96
h=32hours
A quart of stain covers 100 square feet. How many quarts should you buy to stain the wheelchair ramp? (Assume you do not have to stain the bottom of the ramp.)
Answers
This shows that the number of quarts she should you buy to stain the wheelchair ramp is 9 quart
Surface area of a pyramidThis the sum of all the area of the surfaces. The given figures is made of 3 rectangles and 2 triangles
Determine the surface area
TSA = (25*25) + (2 * 5*301/12) + (5*2.08333)
TSa = 625 + 258.33333 + 10.41665
TSA = 893.74995
If a quart of stain covers 100 square feet, the total nuber to buy is given as:
Number to buy = 894/100 = 8.94
This shows that the number of quarts she should you buy to stain the wheelchair ramp is 9 quart
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Solve for x.
(x−2)^2+2=38
x= ___ or x= ___
Answers
Answer:
[tex]x \: = \: \boxed{ \bold{ - 4 }}\: \: \text{or} \: \: x \: = \: \boxed{ \bold{ 8}}[/tex]
Step-by-step explanation:
[tex](x \: - \: 2 {)}^{2} \: + \: 2 \: = \: 38[/tex]
[tex] {x}^{2} \: - \: 4x \: + \: 4 \: + \: 2 \: = \: 38[/tex]
[tex] {x}^{2} \: - \: 4x \: + \: 6 \: = \: 38[/tex]
[tex] {x}^{2} \: - \: 4x \: + \: 6 \: - \: 38 \: = \: 0[/tex]
[tex] {x}^{2} \: + \: 4x \: - \: 8x \: - \: 32 \: = \: 0[/tex]
[tex]x \: \times \: (x \: + \: 4) \: - \: 8(x \: + \: 4) \: = \: 0[/tex]
[tex](x \: + \: 4) \: \times \: (x \: - \: 8) \: = \: 0[/tex]
When it happens that the product of the factors is the same as zero. It is divided into two possible cases.[tex]x \: + \: 4 \: = \: 0 \\ x \: - \: 8 \: = \: 0[/tex]
We solve the two equations:[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]
Answer:[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]
MissSpanishThe marked price of a watch is 30% above the cost price. When it is sold allowing 20% discount on it, there is a gain of Rs 150. Find the marked price and the cost price of them.
Answers
Answer:
Marked price: Rs. 4875
Cost price: Rs. 3750
Explanation:
(i) Cost price: 100%
(ii) Marked price: (100% + 30%) = 130%
(i) Let the cost price be p
(ii) Marked price: 130% × p = 1.3p
Given, 20% discount then sold at 80%
Discount price: (130% × 80%) × p = 1.04p - discounted price
Gain price: 1.04p - p = 0.04p
Cost price:
0.04p = 150
p = 150/0.04 = 3750 ← This is the cost price.
Marked price:
1.3p = 1.3(3750) = Rs. 4875
About how many students do not prefer non- fiction?
x
A. 60
B. 75
C. 100
D. 150
E. 180
Help
Answers
Answer:
B. 75%
Step-by-step explanation:
If about a quarter ( 25% ) do like non-fiction, then we know that the rest do not prefer it ( 75% )
75 + 25 = 100
Can Someone Please Help Me With This, Thanks! :)
On Monday a builder built 5/9 of a wall. On Tuesday he added the last 180 bricks to finish the wall. How many bricks are there in the wall?
Answers
Answer:
405
Step-by-step explanation:
So he built 5/9 of the wall, than added the extra 180 bricks to finish the wall.
so 5/9 + 180 = 9/9
so 180 = 4/9 Because 5/9 + 4/9 = 9/9
So to figure out how many bricks are in the wall we want to know what 1/9 of bricks equals and to work this out we need to divide 180 by 4
which equals 45.
Now we know that 1/9 = 45
so now to figure out what 9/9 is just multiply 45 by 9 which equals 405
Answer:
405 bricks in total
Step-by-step explanation:
1 - 5/9 = 4/9
So 4/9 of the bricks are remaining, and "the last 180 bricks" is equal to 4/9
Using ratio method:
4/9 : 180
5/9 : x
x = 180 × 5/9 ÷ 4/9
x = 225
So 180 + 225 = 405 bricks in total
In the triangle below, what is the measure of B?
A. 18°
B. 56°
C. 90°
D. 28°
Answers
The measure of the angle B from the isosceles triangle is equal to 28°. (Correct choice: D)
What is the measure of the missing angle?
In this problem we have the case of an isosceles triangle, that is, a triangle with two sides of equal length and two angles of same measure. By properties from isosceles triangles, we know that the measures of sides AC and BC are the same and angles B and C are the same.
Then, if we know that AC = AB = 10 and m ∠C = 28°, then the measure of the angle B is equal to 28°.
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The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference between their present ages?
Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is correct. In your explanation, include the equations and calculations necessary to support or contradict Caitlin's answer.
Answers
A ratio shows us the number of times a number contains another number. Caitlin is right.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the ages of Mandy and Sandy is 2:5. Therefore, the ratio will be,
M/S = 2/5
M = 2S/5
After 8 years, their ages will be in the ratio 1:2, therefore,
(M+8)/(S+8) = 1/2
2M + 16 = S + 8
2M - S = -16 + 8
Substitute the value of M,
2(2S/5) - S = -8
-0.2S = -8
S = 40
Now, if we substitute the value of S in the first ratio,
M/S = 2/5
M/40 = 2/5
M = 16
Now, if we take the difference in their ages the difference will be 24(40-16).
Since the difference is 24, we can conclude that Caitlin is right.
Hence, Caitlin is right.
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Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? (5, 4), (-5, -4) (5, 4), (5, -4) (5, 4), (4, 5) (5, 4), (-5, 4)
Answers
The set of ordered pair that has point symmetry in respect to origin is (5, 4), (-5, -4).
What is the point of symmetry?
This is a term that is used to refer to the points that are on the same distance from the origin but are on opposite sides.
The line that connects the points are known to move through the origin such that when measured on the graph, the distances between these points but they are opposite because they are in negatives and positives on the two sides.
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Answer:
the answer is (5,4),(-5,4)
Step-by-step explanation: