The radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
Length of the arc of a circle:
s = 7.34 units
The measure of central angle:
θ = 81 degrees = 1.413 radians
s = rθ
r is the radius of the circle
7.34 = r(1.413)
r = 5.19 ≈ 5.2 units
Thus, the radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°
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Answer:
The radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°
Step-by-step explanation:
What is the slope of the line shown below?
A. 2/7
B.-7/2
C.-2/7
D. 7/2
Answer:
-2/7
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1-3)/( 3 - -4)
= (1-3)/( 3+4)
= -2/7
What is the domain of the function y = StartRoot x + 6 EndRoot minus 7?
Answer: B
Step-by-step explanation:
Edge 2023
PLEASE HELP ME ASAPPPP
Which statement best describes the relationship between the two figures? Figure QRTS is bigger than figure Q’R’T’S’. Figure QRTS is congruent to figure Q’R’TS’. The measure of angle R is equal to the measure of angle Q’. The measure of angle S is equal to the measure of angle T’.
Answer: Figure QRTS is congruent to figure Q'R'T'S'.
Step-by-step explanation:
A reflection is a rigid motion, and rigid motions preserve congruency.
Packs of stickers
Buy for €1.50a pack
Sell For £2.25 a pack
Media buys 5 pack's and sells them all
How Much profit does she
Make ?
Answer:
€3.75
Step-by-step explanation:
1. Formulate:
5×(2.25 - 1.5)
2. Calculate:
5×(2.25-1.5)
5× 0.75
=3.75
Answer
3.7/ €3.7
Find the inverse of the function.
y = -3x - 9
Write your answer in the form ax + b. Simplify any fractions.
y =
Answer: [tex]y=-\frac{1}{3} x-3[/tex]
Step-by-step explanation:
To find the inverse of a function you must first swap the places of x and y
[tex]x=-3y-9[/tex]
Now solve for y
Step 1: Flip the equation.
[tex]-3y-9=x[/tex]
Step 2: Add 9 to both sides.
[tex]-3y-9+9=x+9\\-3y=x+9[/tex]
Step 3: Divide both sides by -3.
[tex]\frac{-3y}{-3} =\frac{x}{-3} +\frac{9}{-3} \\y=-\frac{1}{3} x-3[/tex]
What does each decreasing portion of the graph represent? bouncing a ball
Each decreasing portion of the graph indicates the ball has been thrown upward and is traveling toward the ground.
What is a graph?A graph can be defined as a type of chart that is used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.
By critically observing the graph attached in the image below, we can infer and logically deduce that each decreasing portion of the graph indicates the ball has been thrown upward and is traveling toward the ground.
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A company is considering producing some new products. Based on past records, management believes that there is a 70% chance that each of these will be successful, and a 30% chance of products were predicted to be successful based on market research 90% of the time. However, failure. Market research may be used to revise these probabilities. In the past, the successful for products that failed, the market research predicted these would be successes 20% of the time.
The probability that the results indicate an unsuccessful market for the product and the product is actually unsuccessful is P=0.77.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Events:
S: success
F: failure
MS: market research forecast a success
MF: market research forecast a failure
The information we have is:
P(S)=0.70
P(F)=0.30
P(S|MS)=0.90
P(F|MS)=0.20
If P(F|MS)=0.20, we can derive that P(F|MF)=0.80. That is, the failed products were predicted to be a failure based on market research 80 per cent of the time.
We also can conclude that P(S|MF)=0.10.
We can calculate the probability of having a forecast of a failure, given that the product is actually unsuccessful as:
[tex]P(MF|F) = \dfrac{P(F|MF)\times P(F)}{P(F|MF)\times P(F)+P(S|MF)\times P(S)}[/tex]
[tex]P(MF|F) =\frac{(0.8\times 0.3)}{0.8\times 0.3)+(0.1\times 0.7}[/tex]
[tex]P(MF|F) =\dfrac{0.24}{0.31}=0.77[/tex]
The probability that the results indicate an unsuccessful market for the product and the product is actually unsuccessful is P=0.77.
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Find the area of a circle with a diameter of 10 ft. ( = 3.14)
Answer:
78.5 ft² or25πStep-by-step explanation:
Find the area of a circle with a diameter of 10 ft.
Area of a Circle
A = π × r²
r = diameter : 2
10 : 2 = 5 ft (radius)
A = π × 5²
A = 3.14 * 25
A = 78.5 ft²
Which expression can be used to an identity with [(sin)(sec)]^2 + 1?
Answer:
A
Step-by-step explanation:
sin*sec=tan
tan^2+1=sec^2 by an identity
What is line r called and what are ∠1 and ∠2?
Answer:
The line r is the transversal and ∠1 and ∠2 are linear pairs.
Step-by-step explanation:
Angles such as matching angles, alternative angles, linear pair angles, etc. are created when a transversal intersects parallel lines.
Consequently, the parallel lines are p and q.
R is the transversal
The parallel lines p and q are divided by the transversal r.
As a result, lines 1 and 2 are linear pairs, and line r is the transversal.
Answer:
it is called a transversal (how do u not know this?)
Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.
A linear equation that represents the model is: x + 6 = 10; x = 4
How to solve linear equations?Let us first define the variables based on the attached image of the ball balance:
Let x = number of balls that contains the square.
On the left side, we have; square + 6 balls
On the right side, we have; 10 balls
To balance this, we have;
x + 6 = 10
x = 10-6
x = 4
Thus, a linear equation that represents the model is:
x + 6 = 10; x = 4
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If the hypotenuse of a 30-60-90 degree triangle is 14, what is the short leg?
Answer:
7 units
Step-by-step explanation:
The short leg is opposite the 30 degree angle
sin 30 = opposite side/ hypotenuse
Hypotenuse * sin 30 = opposite side = 14 * 1/2 = 7 units
Circle O is shown. Line segment J E is a diameter and line segment O B is a radius. A line is drawn from point J to point B to form a chord. Tangents B D and E D intersect at point D outside of the circle.
Use the diagram to complete the statements.
The measure of angle EJB is
the measure of angle BOE.
The measure of angle BDE is
the measure of angle BOE.
The measure of angle OED is
✔ equal to
the measure of angle OBD.
The measure of angle OED is the measure of angle OBD. Then the correct option is C.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Circle O is shown.
Line segment JE is a diameter and line segment OB is a radius.
A line is drawn from point J to point B to form a chord.
Tangents BD and ED intersect at point D outside the circle.
The radius and tangent are orthogonal to each other.
∠OED = ∠OBD = 90°
Then the correct option is C.
The complete question is given below.
Circle O is shown. Line segment J E is a diameter and line segment O B is a radius. A line is drawn from point J to point B to form a chord. Tangents B D and E D intersect at point D outside of the circle.
Use the diagram to complete the statements.
The measure of angle EJB is the measure of angle BOE.
The measure of angle BDE is the measure of angle BOE.
The measure of angle OED is the measure of angle OBD.
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Answer:
one-half, 180 minus, equal to
Step-by-step explanation:
Which of the following numbers of replications of an experiment would make
the results most conclusive?
A. 4
B. 12
C. 1
D. 2
►
A triangle has two sides of lenghts 8 and 10. what value could the length of the third sird side be?
Answer:
Step-by-step explanation:
sum of any two sides > third side
difference of any two sides < third side.
8+10=18
10-8=2
2<third side <18
Convert base ten to numeral 3 to base 3?
Answer:
10 in base 3
Step-by-step explanation:
3 in base 10 = 10 in base 3
Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2X - 3Y = 6 at X = 3
The slope-intercept expression for the line is, y=2x-6
The slope-intercept formula is the one we require for this issue.
y = mx + b is the expression that provides the answer.
where 'm' is the equation's scale's slope and 'b' is the y-intercept, or the point on the y-axis in which the line intersects, respectively.
Since, the x-intercept of the line 2x-3y=6 is (3, 0), we desire the following line's expression, which has a slope of 2, to pass over the position (3,0).
Use the formula y=mx +b, x=3, y=0 to get 'b'.
Hence,
0 = 2(3) + b
⇒ b= -6,
∴The expression for the line is y= 2x-6.
This line will cross at x=3 and 2x-3y=6.
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Select the graph that represents the correct answer to the equation.
5y = 3x - 5
Given:
The given equation is 5y=3x-5
Find: Draw the graph
Explanation:
It is given that 5y=3x-5. Substitute x=0 into the given equation we have
[tex]5y = 3x - 5[/tex]
[tex]5y = 3(0) - 5[/tex]
[tex]5y = - 5[/tex]
[tex]y=-1[/tex]
Now, substitute x=5 into the given
equation we have
[tex]5y = 3(5)-5[/tex]
[tex]5y = 15-5[/tex]
[tex]5y = 10[/tex]
[tex]y = 2[/tex]
The points are (0,-1) and (5,2).
Therefore, the required graph is
Hence, the required graph is obtained.
y - wy = m (solve for w)
I need an answer ASAP.
answer:
w = (-m+y)/y
Step-by-step explanation:
y-wy = m
-wy = m-y
y = -(m-y)/w
wy= -m + y
w = (-m+y)/y
.
If a participant skips hard to answer questions in a survey, it causes
A.nonadherent bias
B.sampling bias
C.response bias
D.nonresponse bias
E.researcher bias
Answer:
I think non response bias because response bias includes answering incorrectly on a survey to get it over with so that is my answer
Step-by-step explanation:
PLEASE ANSWER NOW I DON'T HAVE 1 MINUTE
A fair dice is rolled 3 times in a row. The outcomes are shown below.
Calculate the probability of all three events occurring.
Roll Outcome
1st even
2nd prime
3rd multiple of 5
Answer:
answer is 5
Step-by-step explanation:
I think so
if yes L I k e
NEED THIS DONE ASAP!! Thank you!!
Answer:
arc BC = 75 degrees
Step-by-step explanation:
The angle where chords cross is half the sum of the intercepted arcs. This relation can be used to find x and the angle and arc measures.
__
The angle relation is ...
1/2((8x +11) +(9x -7)) = (8x +6)
17x +4 = 16x +12 . . . . . . . multiply by 2 and simplify
x = 8 . . . . . . . . . . . . . . subtract 16x+4 from both sides
Then the measure of arc BC is ...
arc BC = 8x+11 = 8(8) +11 = 75 . . . degrees
_____
Additional comment
We can compute the other measures just to make sure they have the desired relationship.
angle BAC = 8x+6 = 70 . . . degrees
arc FD = 9x -7 = 65 . . . degrees
Since 70 = (65 +75)/2, these measures work out as expected.
Given ZW=20. Answer the questions please.
a) Corresponding angles of similar figures are congruent, so [tex]\angle B \cong \boxed{\angle Z}[/tex]
b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is [tex]\frac{25}{10}=\boxed{5/2}[/tex]
c) Since the scale factor is 5/2,
[tex]\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}[/tex]
From Kansas City to Denver is twice as far as from Kansas City to St. Louis the two distance together total 900 miles what are the two distance?
Answer:
KC to StL = 300
KC to Den = 600
Step-by-step explanation:
KC to StL was the base distance, so we'll call that x.
KC to Denver is twice as long, so we'll call that 2x.
If we add the together is is 900 miles total.
x + 2x = 900 Combine like terms
3x = 900 Divide by 3
x = 300
If x is 300, then 2x is 600.
Find x
proportions with similar triangles.
Answer:
32
(this is just an approximation due to the left triangle)
Lila wants to represent the following statement: seven times some number plus thirteen. How can she write this as an expression?
Answer: 7x+13
Step-by-step explanation:
7 is being multiplied by some number (x) and then the answer to that is added to 13.
Doug split a pack of cards so that he and his friends each got 6 cards. If there were 24 cards in the pack, how many friends did Doug share his cards with ?
Answer is not 4.
Answer:
3
Step-by-step explanation:
24 divided by 6 is 4, subtract Doug, there were 3 friends
What is the solution, if any, to the inequality |3x|_>0
O all real numbers
O no solution
O x_>0
O x≤0
Answer:
C , x>0
Step-by-step explanation:
anything times 0 is 0 and 3x has to be larger than 0
Express the division form of a+bi (1+3i) divided by (2+i)
THERE ARE 5 RED MARBLES, 8 BLUR MARBLES, AND 12 GREEN MARBLES IN A BAG. SEVERAL TRIALS ARE PERFORMED WITH THE RESULTS SHOWN IN THE TABLE. WHAT IS THE EDPERIMENTAL PROBABILITY OF RANDOMLY DRAWING A GREEN MARBLE?
The experimental probability is 56% i.e., 28.
What is probability?
The probability is the measure of the likelihood of an event to happen.
Given:
Total marbles= 8 + 12 + 5= 25 marbles
Total trials= 12+28+10 = 50 trials
So, the experimental probability is 56% for the green marble.
= 56% of 50
= 56 /100 *50
= 56/2
= 28
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