Answer: ∠1 = 52°, ∠4 = 40°, ∠7 = 100°, ∠10 = 49°, ∠13 = 65°
Step-by-step explanation:
There are three formulas you need to find the angles. Each formula is based on where the vertex lies.
On the circle: Measure of the angle = (1/2) the arc
∠4 = (1/2)°80 ∠10 = (1/2)(18° + 80°) ∠13 = (1/2)130°
= 40° = (1/2)98° = 65°
= 49°
Inside the circle: (1/2) Sum of the Big arc and Little Arc
∠7 = (1/2) (130° + 70°)
= (1/2)200°
= 100°
Outside the circle: (1/2) Difference of the Big arc and Little Arc
∠1 = (1/2)[(62° + 130°) - (70° + 18°)]
= (1/2) (192° - 88°)
= (1/2)104°
= 52°
Below is the solution for ALL of the angles
8. The sum of two numbers is 23 less than twice the first number. Their difference is 19 less than
twice the second number. Find each of the numbers.
Answer:
44, 21
Step-by-step explanation:
x+y = 2x-23
x-y = 2y - 19
Rewrite
-x + y = -23
x - 3y = -19
Use elimination.
Expected Value (50 points) Game: Roll two dice. Win a prize based on the sum of the dice. Cost of playing the game: $1 Prizes: Win $10 if your sum is odd. Win $5 if you roll a sum of 4 or 8. Win $50 if you roll a sum of 2 or 12. Explain HOW to find the expected value of playing this game. What is the expected value of playing this game? Show your work. (30 points)
Answer:
$7.89
Step-by-step explanation:
There are 36 possible outcomes when rolling two dice.
The sum will be odd if the first die is odd and the second is even or if the second is odd and the first is even. The probability of an odd sum is:
[tex]P(odd)=\frac{3}{6} *\frac{3}{6} +\frac{3}{6} *\frac{3}{6}\\P(odd)=0.5[/tex]
There is a probability of 1 in 2 of winning $10.
There are 8 ways to get a sum of 4 or 8 (1,3; 3,1; 2,2; 5,3; 3,5; 2,6; 6,2; 4,4). There is a probability of 8 in 36 or 2 in 9 of winning $5.
There are 2 ways to get a sum of 2 or 12 (1,1; 6,6). There is a probability of 2 in 36 or 1 in 18 of winning $50.
Any other outcome will not payout any amount.
The expected value is the sum of all possible payouts multiplied by their likelihood (including a 100% chance of paying $1 to play).
[tex]E=-1+10*\frac{1}{2} +5*\frac{2}{9}+50*\frac{1}{18}\\E=\$7.89[/tex]
The expected value is $7.89.
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1/8. There are 56 marbles in the bag and each is equally likely to be chosen. Work out how many red marbles there must be
Answer:
7 red marbles
Step-by-step explanation:
P( red) = red marbles / total marbles = 1/8
We know there are 56 marbles
red marbles/56 = 1/8
Multiply by 56
red marbles = 1/8 *56 = 7
There are 7 red marbles
I NEED HELP PLEASE! THANKS :)
Answer:
A
Step-by-step explanation:
First, let's do the difference of two squares:
[tex](1-cos^4(\theta))=(1-cos^2(\theta))(1+cos^2(\theta))[/tex]
Note that [tex]sin^2(\theta)=1-cos^2(\theta)[/tex] (Pythagorean Identity)
Thus, we can substitute:
[tex]sin^2(\theta)(1+cos^2(\theta))[/tex]
Now, and I'm serious, you just have to use your creativity. After a while, you will find that:
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
So:
[tex]1+sin^2(\theta)+cos^2(\theta)=1+1[/tex]
Thus, we have [tex]1+cos^2(\theta)=2-sin^2(\theta)[/tex]
Now, we can substitute:
[tex]sin^2(\theta)(2-sin^2(\theta))=2sin^2(\theta)-sin^4(\theta)[/tex]
Chris had a piece of rope that was 15 inches long. He wanted to cut the rope into pieces that were each 3/5 of an inch long. How many pieces of rope can he cut from the original rope?
Hey there! :)
Answer:
25 pieces.
Step-by-step explanation:
To solve for the amount of pieces that can be cut, we must divide fractions:
15 ÷ 3/5 = x
When dividing fractions, you must multiply by the reciprocal. Therefore:
[tex]\frac{15}{1}* \frac{5}{3} = \frac{75}{3} = 25[/tex]
Therefore, 25 pieces can be cut.
Answer:
25 3/5 inch long pieces
Step-by-step explanation:
If you have 15 inches and you cut it into less than inch pieces, you know for sure that it will be more than 15 but less than 30 because the peices are more than half an inch.
to find the answer, you divide 15 by 3/5 because each piece is 3/5 inches long
when you put this into a calculator 15/(3/5) you will get the answer 25.
So, ANSWER = 25 pieces of rope that are 3/5 inches long
Hope this helps and you will understand if you face a problem similar to this :)
Tim wants to build a rectangular fence around his yard. He has 42 feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.
Answer:
Rectangular fence dimensions:
x = 14 ft
w = 7 ft
A = 98 ft²
Step-by-step explanation:
Rectangular fence dimensions:
x length and w width
Then x = 2*w ⇒ w = x/2
Perimeter is
p = 2*x + 2*w
p = 2*x + 2* x/2
p = 2*x + x
3*x = 42
x = 14 ft and w = 14/2 ⇒ w = 7 ft
Bill drives 2 hours at a speed of 60 mph (miles per hour). Afterwards, he drives for 4 hours at a speed of 75 mph. What is his average
speed over the 6 hours that he spent driving
Answer:
70 mph
Step-by-step explanation:
Here we want to calculate average speed
Mathematically, average speed = Total distance/Total time
Kindly recall distance = speed * time
for the first part;
We have: 60 * 2 = 120 miles
For the second: 4 * 75 = 300 miles
Average speed = (300 + 120)/(4 + 2) = 420/6 = 70 mph
Given ∠R ≅ ∠T and ∠E ≅ ∠A, what other information is needed to prove ΔRED ≅ ΔTAN by AAS? a RE ≅ TA b RD ≅ TN c ∠D ≅ ∠N d None of these choices are correct.
Answer:
d None of these choices are correct.
Step-by-step explanation:
In ΔRED and ΔTAN
∠R ≅ ∠T... (given)
∠E ≅ ∠A... (given)
ED ≅ AN... (required)
Therefore, ED ≅ AN is needed to prove ΔRED ≅ ΔTAN by AAS Postulate.
Read the excerpt from A Vindication of the Rights of Woman. Let there be then no coercion established in society, and the common law of gravity prevailing, the sexes will fall into their proper places. And, now that more equitable laws are forming your citizens, marriage may become more sacred: your young men may choose wives from motives of affection, and your maidens allow love to root out vanity. What is the central idea of the excerpt? In proper societies, there are strict laws about marriage. Men will fall into submission when their wives are well educated. In equal roles, men and women will establish more meaningful marriages. Men and women should marry for reasons other than love and affection.
Answer:
In equal roles, men and women will establish more meaningful marriages.
Step-by-step explanation:
Marry Wollstonecraft in her feminist philosophy "A Vindication of the Rights of Woman" had projected the idea of equalizing the rights of men and women. She builds her argument against the theorists who do not consider education to be important for the female gender of the society. She presents her point by giving instances of how the education of women is indirectly related to the upliftment of the entire society. Wollstonecraft urges for equal fundamental rights to be shared by both men and women. An educated woman not just helps to become a good 'companion' of her husband but also raises her children in an efficient way.
To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step
Answer:
6x to find x on it's own you need to divide by the number infront,
Step-by-step explanation:
Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)
Answer:
0.0471
Step-by-step explanation:
Here, we want to find the area of the shaded region.
The area of the shade region = 1- area of the unshaded region
The area of the unshaded region is as follows;
P(b) - P(a)
and that is;
P(-1.88<x<2.12) = 0.95294 from z table
So the area of the shaded region = 1-0.95294 =
0.04706 = 0.0471 to 4 d.p
Help.me................
Answer:
the angle itself is 39
Step-by-step explanation:
first the angle 132 is apart of line segment jer so 180-132=48
48+93=141
180-141=39
Answer:
39º
Step-by-step explanation:
Once the angle 132º and angle ∠BER are supplementary angles (add up to 180 degrees), ∠BER = 48º.
Also, once the sum of a triangle's interior angles is 180º:
∠BER + 93º + (9x+3)º = 180º
48º + 93º + 9x + 3º = 180º
144º + 9x = 180º
9x = 36º
x = 4º
Therefore, the angle ∠EBR (green) is equal to 39º
For what values (cases) of the variables the expression does not exist: [tex]\frac{3}{4y+2}[/tex]
Answer:
y = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4y+2}[/tex]
The denominator of the expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that y cannot be, that is
4y + 2 = 0 ( subtract 2 from both sides )
4y = - 2 ( divide both sides by 4 )
y = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex] ← excluded value
What is the positive solution of x? - 36 = 5x?
Step-by-step explanation:
if you meant
x²-36=5x:
x²-5x-36=0
(x-9)(x+4)=0
x = 9 and x = -4
you want the positive one, so 9
Jordan is calculating the slope of the trend line in the scatterplot below. On a coordinate plane, a trend line has a positive slope. How can Jordan use the plot to check the reasonableness of his answer? His slope should be positive because the coordinates of all the plotted points are positive. His slope should be positive because the trend line is slanted up to the right. His slope should be negative because there are plotted points not on the line. His slope should be negative because the x-coordinate of each plotted point is less than the y-coordinate.
Answer:
His slope should be positive because the trend line is slanted up to the right.
Step-by-step explanation:
Assume the graph is like the one below.
The line is slanted up and to the right, so the slope is positive.
A is wrong. The points could all be positive and have a negative slope.
C is wrong. Most of the points are not on the line but the slope is still positive.
D is wrong. The slope does not depend on the values of x and y. It depends on the values of Δx and Δy.
Answer:
Step-by-step His slope should be positive because the trend line is slanted up to the right.
explanation:
Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? A. 90 degrees clockwise rotation B. 180 degrees rotation C. 90 degrees counterclockwise rotation D. 270 degrees clockwise rotation
Answer:
The correct option is;
A. 90 degrees clockwise rotation
Step-by-step explanation:
From the given information, we have;
The coordinates of the pre-image is K(-6, 9)
The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)
The transformation from (x, y) to (y, -x) can be obtained from either;
1) A rotation of 90° (clock wise)
2) A rotation of 270° counter clockwise
Therefore, the correct option that maps K(-6, 9) to K'(9, 6) is a 90 degrees clockwise rotation.
Answer: The person above me is correct! A. 90 degrees clockwise rotation
Step-by-step explanation:
Please help me I will mark BRAINLIST :))))
Answer:
47%
Step-by-step explanation:
The total number of student is 4+6+2+2+3+4+6+3 = 30 students
P( male) = male / total
= (4+6+2+2)/ total
=14/30
=.466666666
46.66666%
To the nearest whole percent
47%
What is the measure of angle A?
Answer:
38 degrees
Step-by-step explanation:
The angle can be found using the Law of Cosines:
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (3² +7² -5²)/(2·3·7) = 33/42
A = arccos(33/42) ≈ 38.213°
The measure of angle A is about 38°.
please fill in the final row (x)
Answer:
x = 11
Step-by-step explanation:
The Frequency column has to total 50 ( number of rolls on dice )
Thus total the given frequencies and equate to 50, that is
12 + 8 + 7 + 3 + 9 + x = 50
39 + x = 50 ( subtract 39 from both sides )
x = 11
Answer:
x=11
Step-by-step explanation:
12+8+7+3+9=39
50-39= 11
(-3)(-2)[-4-(-2)]
Slove the problem
Answer:
-12
Step-by-step explanation:
(-3)(-2)[-4-(-2)]
6[-4-(-2)]
6[-2]
-12
For which quadratic equation is the axis of symmetry x = 3
a. y = -x2 + 3x + 5
b. y = -x2 + 6x + 2
c. y = x2 + 6x + 3
d. y = x2 + x + 3
Answer:
b) y = -x2 + 6x + 2
Step-by-step explanation:
1. Which of the following measurements could be the three side lengths of a right triangle? a. 4 cm, 5 cm, 9 cm b. 12 cm, 20 cm, 25 cm c. 18 cm, 24 cm, 30 cm d. 2 cm, 3 cm, 5 cm
Answer:
b and c
Step-by-step explanation:
The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.
In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.
In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.
Using the Pythagorean Theorem, it is found that possible side lengths of a right triangle are given by:
c. 18 cm, 24 cm, 30 cm
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
The length of the hypotenuse is always greater than the length of the legs. The Pythagorean Theorem has to hold true, which holds only for option C, as:
18² + 24² = 30²
900 = 900
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
#SPJ2
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
Which situation would be represented by zero? An altitude of 37 feet. An altitude of 7 meters below sea level. An altitude of 8 meters above sea level. An altitude at sea level.
Answer: an altitude at sea level
Which of the following is a step in constructing angle bisectors using a compass and straight edge? a Construct a copy of the line segment b Without changing the compass's width, draw an arc across each leg of the angle. c Extend either leg backwards, away from the interior of the angle. d Start with a line segment AB that we will divide up into equal parts.
Answer:
start with a line segment to divide into equal parts
Step-by-step explanation:
that's the first step you take before you make the angle bisector because there's no point in doing the other steps before that
Answer:
Step-by-step explanation:
convercion haxadecimal al decimal 36A, 98D, 5F, 85E, 1B.
Answer:
874, 2445, 95, 27
Step-by-step explanation:
0 = 0
1 = 1
2 = 2
3 = 3
4 = 4
5 = 5
6 = 6
7 = 7
8 = 8
9 = 9
A = 10
B = 11
C = 12
D = 13
E = 14
F = 15
36A = 3 * 16^2 + 6 * 16^1 + 10 * 16^0 = 874
98D = 9 * 16^2 + 8 * 16 + 13 = 2445
5F = 5 * 16 + 15 = 95
1B = 1 * 16 + 11 = 27
2.
What is the probability of rolling a sum greater than 7 with two dice if the first die
rolled is a 3?
Answer:
1/3
Step-by-step explanation:
Assuming that both die are labelled 1 - 6, the successful outcomes are 3 and 5 or 3 and 6. This is 2 out of the 6 possible outcomes so the answer is 2/6 or 1/3.
Pleas answer this question now fast in two minutes
Answer:
3
Step-by-step explanation:
Adjacent angles have a common side and no common interior points.
HELP PLZZZZZZZZZ!!!!!!!
The median of the values in a data set is x. If 32 were subtracted from each
of the values in the data set, what would be the median of the resulting data?
A. X+32
B. X-32
C. X
D. 32 - x
Answer:
The answer is B: (x-32)
Answer:
B
Step-by-step explanation:
ape.x