Answers
Step-by-step explanation:
a.
the arc angle AC = 180° (since this is a diameter).
the arc angle BC = 60°.
so,
arc angle AB = arc angle AC - arc angle BC = 120°.
b.
the exterior angle of a circle segment at the circle arc is half of the interior angle at the center of the same segment.
the angle A = arc angle BC / 2 = 30°.
c.
the same principle as in b.
the angle C = arc angle AB /2 = 60°.
d.
the arc angle AD = the angle at AOD (that is how arc angles are defined).
the angle AOD = the angle AOF.
the sum of all angles in a triangle is always 180°.
angle AOD = AOF = 180 - 90 - angle A = 60°.
e.
as explained, this is the same as the arc angle AD and therefore the same as d.
it is 60°.
f.
the arc angle CE = the arc angle AD = 60°.
remember, the angles of intersecting lines are the same (just side mirrored) on both sides of each line.
g.
the arc angle ABE = arc angle AB + arc angle BC +
+ arc angle CE = 120 + 60 + 60 =
= 240°
h.
the angle AOE = the arc angle AE = the remainder of 360 minus the arc angle ABE of g.
so, angle AOE = 360 - 240 = 120°
Related Questions
A rectangle has sides measuring (12x - 2) units and (x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)
Part B: What is the expression that represents the perimeter of the rectangle? Show your work. (5 points)
Part C: What are the degree and classification of the expression obtained in Part A? (3 points)
Answers
The area equation is:
A = (12x - 2)*(x + 8)
Which is a polynomial of degree 2, and the perimeter is:
P = 26x + 12
How to write the area of the rectangle?
Remember that for a rectangle of length L and width W, the area is written as:
A = L*W
Here we know that:
L = (12x - 2)
W = (x + 8)
Then the equation for the area is:
A = (12x - 2)*(x + 8).
How to write the perimeter?For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W).
Replacing what we know, we get:
P = 2*(12x - 2 + x + 8) = 2*(13x + 6) = 26x + 12
What are the degree and classification of the area equation?The area equation is:
A = (12x - 2)*(x + 8).
Notice that this is a polynomial that is made of the product of two polynomials of degree 1, so this is a polynomial of degree 2.
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The average score for the statistics exam was a 75 with a standard deviation of 8. A student was told that they received a
score 1.45 standard deviations below the mean. What was their score?
Answers
A mean is an arithmetic average of a set of observations. The score of the student is equal to 63.4.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given the mean score was 75, while the standard deviation was 8. Therefore, the score of the student is,
Scre of the student = μ - 1.45σ = 75 - 1.45(8) = 63.4
Hence, the score of the student is equal to 63.4.
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Question 4 of 10
If a tree diagram were drawn to determine the number of possible outcomes
when choosing one of 3 salads, one of 5 entrées, and one of 9 desserts, how
many leaves would there be?
O A. 17
OB. 45
C. 135
Answers
Because 3*5=15 15*9=135
help me with this for 50 points.
Answers
Answer:
1/2 or 1:2
Step-by-step explanation:
3 circles to 6 squares
3/6 simplified is 1/2
What expression is equivalent to
27+2 x 32
Answers
Answer:
well when its simplyfied its 91
Step-by-step explanation:
27 + 64 mutipliction first
27 + 64 = 91
2. Which theorem would show that x = 5 in the diagram?
Answers
Answer:
Midsegment theorem for Traoezoids
Step-by-step explanation:
I hope it helps you
10. The following measurements from yaw marks left at the scene of an accident were taken by law
enforcement officers. Using a 31-ft-long chord, the middle ordinate measured approximately 3
ft. The drag factor for the road surface is 1.02.
a. Determine the radius of the yaw mark to the nearest tenth of a foot.
1
Determine the minimum snood that it
Answers
The radius of the yaw mark to the nearest tenth of a foot is 11.2 ft
The minimum speed 11.1634 miles per hour.
What is Yaw mark?Yaw marks are always curved. They are, initiated by a steering input. They're what's left from a tire that is still rolling but is simultaneously sliding laterally.
The formula for determining radius from a chord and middle ordinate is
[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]
To find the radius of the yaw mark, we have to use the formula
[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]
where c is the length of the chord and m is the middle ordinate
As the tires leave a yaw mark with a 31 foot chord and a middle ordinate of 3 feet.
So,
[tex]r^{2}= \frac{31^{2}}{8*3}+\frac{3}{2}[/tex]
[tex]r^{2}= 40.041 +1.5\\r^{2}=41.541[/tex]
Now to find the minimum speed, we are going to use the formula: [tex]s=\sqrt{15fr}[/tex]
where 'f' is drag factor and 'r' is the radius
drag factor is 0.2, f=0.2
and r= 41.541 ft
So, [tex]s=\sqrt{15* 0.2*41.541}\\s=\sqrt{124.623}\\s= 11.1634 mph[/tex]
The minimum speed before the brakes are applied was 11.1634 miles per hour.
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Juan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, nine of them are a kind that his mother would want. If Juan chooses one randomly, what is the probability that he will choose a kind that his mother would want?
A. 40%
B. 30%
C. 0.3%
D. 9%
Answers
Answer:
B
Step-by-step explanation:
because 30% out of 30 is 9
Please help me my friends
What is the perimeter of this rectangle?
Answers
The length and width of the rectangle will be √68 and √17. Then the perimeter of the rectangle will be 2 (√17 + √68).
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The graph is shown below.
Then the perimeter of the rectangle will be
P = 2 (length + width)
The length of the rectangle will be
L² = 2² + 8²
L² = 4 + 64
L² = 68
L = √68
The width of the rectangle will be
W² = 1² + 4²
W² = 1 + 16
W² = 17
W = √17
Then the perimeter will be
P = 2 (√17 + √68)
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The ratio of cats to dogs at the veterinarian is 21:39. What percent of the total animals are cats?
Answers
Answer:
35%
Step-by-step explanation:
Assuming that there are no other animals in the vet other than dogs and cats, that means the total amount of animals is 21 + 39, which is 60 animals. To find the percent of cats, simply place the number of cats based on the ratio (21) over the total number of animals (60) and multiply by a 100:
21/60 = 0.35
0.35 x 100 = 35%
Hope this helps!!
Answer:
35%.
Step-by-step explanation:
Fraction that are cats = 21 / (21+39)
= 21/60
= 100 * 21/60
= 35%.
A rectangular park has a perimeter of 374 feet and a length of 65 feet.
What is the width of the park?
Answers
Answer:
122 feet
Step-by-step explanation:
We know that the length of the park is 65 feet long and the park is rectangular. Therefore we add 65+65 to find the total of both length sides.
65+65=130
Next we subtract 130 from the total amount of 374 to find the total of both width sides.
374-130=244
Now we divide what is left by 2 to find the width of an individual side.
244÷2=122
The width is 122.
Check your answer by inserting the numbers into the equation for perimeter.
P=2W+2L
374=(2×65)+(2×122)
374=130+244
374=374
What is this a picture of
Answers
Answer:
inscribed angle
Step-by-step explanation:
That is an inscribed angle in a circle ....
Answer:
inscribed angle
Step-by-step explanation:
The vertex (point, corner) of the angle is ON the circle, this is an inscribed angle.
You earn $1,600 per pay period. Your deductions are $110, $66, and $14. What is your net pay?
Answers
Answer:
Your net pay is
[tex]$1410[/tex]
Step-by-step explanation:
All we have to do is add the deductions and then subtract them from what your earn.
[tex]1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410[/tex]
Need this answered ASAP can’t find it anywhere online
Answers
Answer:
The value of the rational expression when x = -3 is undefined.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra II
Rational Functions
Asymptotes, HolesStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \frac{x}{x^2 - 9} ,\ x = -3[/tex]
Step 2: Find Value
[Rational Expression] Substitute in x:[tex]\displaystyle\begin{aligned}\frac{x}{x^2 - 9} ,\ x = -3 & \rightarrow \frac{-3}{(-3)^2 - 9} \\\end{aligned}[/tex][Order of Operations] Evaluate:
[tex]\displaystyle\begin{aligned}\frac{x}{x^2 - 9} ,\ x = -3 & \rightarrow \frac{-3}{(-3)^2 - 9} \\& \rightarrow \frac{-3}{0}\end{aligned}[/tex]
∴ since we can't divide by 0, our rational expression when x = -3 will have to be undefined.
___
Topic: Algebra II
What is the discriminant of the quadratic equation 2x + 5x = 1?
0-18
0-16
022
24
Answers
The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.
--
Use this formula
b²-4acPlug in
You get 24
Answer:
24
Step-by-step explanation:
Discriminant
b² - 4ac (when ax² + bx + c = 0)
Assuming the given equation is: 2x + 5x² = 1
Rewrite the equation so that it equals zero:
⇒ 5x² + 2x - 1 = 0
Therefore, a = 5 b = 2 c = -1
Input these into the discriminant formula and solve:
⇒ 2² - 4(5)(-1) = 4 + 20
= 24
Therefore, the discriminant of the quadratice equation is 24.
15
Select the correct answer.
If f(x) = (x+1)-¹ and g(x)
= x^-2, what is the domain of f(x) = g(x)?
Answers
Answer:
Step-by-step explanation:
[tex]f(x)=g(x) \implies \frac{1}{x+1}=\frac{1}{x^{2}}[/tex]
This means the denominators cannot equal to (because then the fractions would be undefined) so the domain is [tex]x \in \mathbb{R} -\{-1,0\}[/tex]
Bao owns a small business selling used books. She knows that in the last week 60 customers paid cash, 3 customers used a debit card, and 27 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form.
Answers
Answer:
It would be a 3/10 or 30% chance.
Answer:
Step-by-step explanation:
3/10 or .30 or30%
Tutorial
A line passes through the points (0, -8) and (-9, -9). What is its equation in slope-intercept
form?
Answers
Explanation: m= (y2-y1)/(x2-x1)
(-9 - -8) / (-9 - 0) = -1 / -9 = 1/9
1/9x is the slope
B = -8 since it’s x value is 0
So in y=Mx+b form the solution is
Y=1/9x-8
Answer:
[tex]\boxed{\sf{y=\dfrac{1}{9}x-9}}[/tex]Step-by-step explanation:
To find:
Passes through the points of (0,-8) and (-9,-9).To use:
The slope and slope-intercept form formula.Given:
The slope of a line is often indicated by the letter m.
It can be calculated by selecting any two points on the line and calculating the rate of change between them.
[tex]\underline{\text{Slope:}}[/tex]
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
y2=(-9)y1=(-8)x2=(-9)x1=0Solve.
[tex]\Longrightarrow: \sf{\dfrac{-9-\left(-8\right)}{-9-0}=\dfrac{-1}{-9}=\boxed{\sf{\dfrac{1}{9}}}[/tex]
The slope is 1/9.
Slope-intercept form:
All points (x,y) on the line have m slope and (0,b) y-intercept that satisfy the equation.
⇒ y=mx+b, y=b+mx and y=mx+cThe m represents the slope.
The b represents the y-intercept.
The y-intercept is -8.
[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{1}{9}x-8 }}[/tex]
Therefore, the correct answer is y=1/9x-8.I hope this helps, let me know if you have any questions.
Learn more about slope-intercept form at:
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Pls help me with this
Answers
Let's find the area!!
«------«----------»----------»
2 × 5 + 2 × 5 + 3 × 210 + 10 + 620 + 626«------«----------»----------»
Therefore, your answer is D. 26cm^2!!!!!
please help will mark Brainliest!!
Answers
Answer:
Because -4 is 4 units away from 0.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Need help asap thanks
Answers
Subtract and you get -1
See picture
Hey there!
Answer :[tex] \displaystyle{ \red{ \boxed{ \green{ \bold{m = - 1}}}}}[/tex]
[tex] \\ [/tex]
Explanation:To find the slope of a line using two points [tex] \displaystyle{(x_1 , y_1)} [/tex] and [tex] \displaystyle{(x_2 , y_2)} [/tex] , we can use the slope formula.
This formula corresponds to the quotient of the change in y [tex] \: [/tex] over [tex] \: [/tex] the change in x :
[tex] \displaystyle{m = \frac{ \blue{y_2} - \orange{y_1}}{ \green{x_2} - \red{x_1} }}[/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow [/tex] We are given the points (-2 , 3) and (-5 , 6) where:
[tex] \red{x_1} [/tex] = -2 [tex] \orange{y_1} [/tex] = 3[tex] \green{x_2} [/tex] = -5[tex] \blue{y_2} [/tex] = 6[tex] \\ [/tex]
[tex]\displaystyle{ \hookrightarrow m = \frac{\blue{6} - \orange{3}}{\green{-5} - \red{(-2)}}} \\ \\ \displaystyle{\implies m=\frac{3}{-3}} \\ \\ \displaystyle{\purple{\implies} \boxed{\bold{m=-1}}}[/tex]
Therefore, the slope of the line is -1.
[tex] \\ [/tex]
▪️Learn more about finding the slope of a line from 2 points :
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What does 2 3/4 x 2 add all together?
Answers
Step-by-step explanation:
its confusing the way the numbers are placed. But..
if the question is 2 whole number times 3 ÷4x2
=2×3/4×2
=6/8
=3/4
if it's 2 whole number, 3/4 fraction, multiplied by 2
2³/⁴ × 2
=4×2+3=11/4
=11/4 ×2
=11/2 or 5 1/2
Pleaseeee show work
Answers
Answer:
The ladder is 9.54m (√91) tall
Step-by-step explanation:
(the blue triangle is all you would need to draw and the work in yellow)
The probabilities for four different simple events are given. Of the four, which is LEAST LIKELY to occur?
Question 1 options:
0.01
0.35
0.5
0.9
Answers
Answer:
Step-by-step explanation:
We are supposed to find the least likely, which means we are looking for the smallest number.
.9 is the largest
.5 is next
.35 is second to smallest
A is the answer 0.01
Still stuck? Get 1-on-1 help from an expert tutor now.
To identify the density of a figurine made using an unknown material, the figurine is dropped into a basin filled with water and found to displace 184.8 mL of water. The figurine is then put on a scale and found to be 3.8 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3
Answers
Step-by-step explanation:
here you go hopw it helps you
What is 6 + pi + 7 to the 6th power. ( 6 + 3.14 + 7 + 7^6)
Answers
Hey there!
(6 + 3.14 + 7 + 7^6)
= 6 + 3.14 + 7 + 7^6
= 9.14 + 7 + 7^6
= 16.14 + 7 * 7 * 7 * 7 * 7 * 7
= 16.14 + 49 * 49 * 49
= 16.14 + 2,401 * 49
= 16.14 + 117,649
= 117,665.14
Therefore, the answer should be:
117,665.14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the theoretical probability of choosing perfect squares from the natural numbers from 2 to 100
inclusive.
Answers
25÷5=5 if five dot is throw in the air the probability of five seeing on the dot will be slim
A quarterback is standing on the football field preparing to throw a pass. His receiver is standing 20 yards down the field and 15 yards to the quarterback’s left. The quarterback throws the ball at a velocity of 60 mph towards the receiver at an upward angle of 30° (see the following figure). Write the initial velocity vector of the ball ⃑ , in component form.
Answers
Answer:
I did the work and uploaded the answer as a picture for you
I hope it was helpful!!
Step-by-step explanation:
Look at the street map. What street intersects with Polk Street?
A. Union Street
B. Church Street
C. Geary Street
D. Fulton Blvd.
Answers
Answer:
Geary street :D
they intersect here
click on the photo. it's not a link it's a screenshot of where they intersect
A marble is 2 centimeters long. A rock is 75% longer than the marble. How long is the rock?
Answers
Answer:
3.5 centimeters
Step-by-step explanation:
75% of 2 cm = .75 x 2 = 1.5 cm
2 cm + 1.5 cm = 3.5 cm
