Answers
Answer:
can you post a pic pls
Step-by-step explanation:
=============================================================
Explanation:
You subtract the arc measures, and then divide the result in half.
The order of subtraction is larger arc minus smaller arc.
Angle ABC = ( (arc AC) - (arc DE) )/2
Angle ABC = (90 - 40)/2
Angle ABC = 50/2
Angle ABC = 25 degrees
Side note: segments AB and BC are considered secant segments.
The next section will go into a more in-depth look. The next section is optional.
-------------------------------------
Alternative Method:
Refer to the diagram below. I've added points D and E to the diagram.
Based on those points, let
x = measure of minor arc CEy = measure of minor arc DANote how inscribed angle CAB subtends the arc CED. The measure of arc CED is 40+x. Half this is (40+x)/2, which is the measure of inscribed angle CAB. Through similar logic, inscribed angle ACB is (40+y)/2.
Also, note how the four arc pieces of the full circle are: AC = 90, EC = x, DE = 40, and AD = y.
The four arc pieces must add to 360 as they form a full circle
AC+EC+DE+AD = 360
90+x+40+y = 360
x+y+130 = 360
x+y = 360-130
x+y = 230
y = 230-x
From this, we can rewrite the expression for inscribed angle ACB
angle ACB = (40+y)/2
angle ACB = (40+230-x)/2
angle ACB = (270-x)/2
Now because the interior angles of a triangle must add to 180, we can then use this fact to find angle ABC
(angle ABC) + (angle CAB) + (angle ACB) = 180
angle ABC = 180 - (angle CAB) - (angle ACB)
angle ABC = 180 - (40+x)/2 - (270-x)/2
angle ABC = 180 - 40/2 - x/2 - 270/2 + x/2
angle ABC = 180 - 20 - x/2 - 135 + x/2
angle ABC = 25 degrees
Ultimately the x terms cancel out when we combine the -x/2 and +x/2 together.
Related Questions
A garden is being created in an area that is shaped like an isosceles trapezoid, as shown. Topsoil is needed to fill the garden, to a depth of 2 ft. Each bag of topsoil has 16 square feet of soil. How many bags will be needed to fill the garden? 4ft 3.46 ft 8ft
Answers
Answer: 12
Step-by-step explanation:
finding the slope to points
Answers
4. Nancy placed 78.089. Which of the following numbers is closest to 78.089?
78.089
78
+
79
A 78
C 78.09
B 78.08
D 78.1
Answers
C is the closest to 78.089
5.
Learning Task 4: Solve the following word problems.
1. Mr. Pablo bought a residential lot. The lot is in the shape of a trapezoid as shown in the illustration. What is the area of
the lot
12 m
10 m
20 m
2. Maria Ailyn bought a lot in a parallelogram shape. Its base is 24 meters and its height is 16 meters. What is the area of
ota
Answers
Answer:
160 m²
384 m²
Step-by-step explanation:
The area of a trapezium is given by :
A = 1/2(a + b)h
h = height ; a and b = lengths
From the diagram :
A = 1/2(12 + 20)10
A = 1/2(32)10
A = 16 * 10
A = 160 m²
2.)
Area of parallelogram = base * height
Base = 24 ; h = 16
A = 24 * 16
A = 384 m²
What is the value of x, the side length of the smallest square (please show work) Thanks!
Answers
Answer:
8 cm
Step-by-step explanation:
Ok lets on the biggest square we have 17 cm
17cm is the hypotenuse for the right triangle
The second largest's area is 225 cm^2
Sq root of 225 cm^2, is 15
To find x, lets plug the info we have to the pythagorean theorom
[tex]a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm[/tex]
The side length of the smallest Square is 8 cm
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the measure of angle 7?
Answers
Answer:
measure of Angle 7 would also be (3y - 8), by the alternate exterior angles theorem
Hope this helps!
NEEED HELP 20 minutes
Gloria has two number cubes with faces numbered 1 through 6. She will roll each number cube once.
Part A Make an organized list to show the sample space for rolling the two number cubes once.
(You can make a list or a tree diagram to represent the sample space.)
Part B How many possible outcomes are in the sample space for rolling the two number cubes once?
Part C Gloria wants to roll the number cubes once and get a sum of 8 on the top faces.
List the outcomes in the sample space that have a sum of 8.
Part D What is the probability that Gloria will get a sum of 8 on the top faces when she rolls the two number cubes once?
Answers
Answer:
Step-by-step explanation:
There are 36 possibilities. That's a lot. I'll give you the two sets of them to give you the idea of how to set it up.
1 1
1 2
1 3
1 4
1 5
1 6
Now you can list all the reverse numbers
2 1
3 1
4 1
5 1
6 1
Do this pairing all the way down and then add the doubles amount.
B: 36 (Stated Above)
C:
4 4
3 5
5 3
6 2
2 6
D
There are 36 possible outcomes.
The Probability is 5/36
The Probability is 0.1388 .... repeating.
15) Find the product. Show all your work.
Reduce all your answers into simplest
form
3 - x
5
л |N
Answers
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
3 [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{30}{20}[/tex] = [tex]\frac{3}{2}[/tex]
or another way
[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{3}{2}[/tex]
5 Victor knows that 2 + 7 = 7+2 and 2•7= 7•2
Answers
Answer:2^7 ≠ 7^2
Step-by-step explanation:
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2
The only factor is 2
7^2 = 7 * 7
The only factor is 7
Comparing the factors when written as a repeated multiplication,
2^7 and 7^2 have no common factor :
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128
7^2 = 7 * 7 = 49
Fay read an article that said 26% of Americans can speak more than one language. She was curious if this
figure was higher in her city, so she tested H, : p=0.26 vs. H : p > 0.26, where p represents the
proportion of people in her city that can speak more than one language.
She found that 40 of 120 people sampled could speak more than one language. The test statistic for these
results was 2 1.83.
Assuming that the necessary conditions are met, what is the approximate P-value for Fay's test?
You may round to three decimal places.
P-value
Answers
Answer:
0.0336
Step-by-step explanation:
the hint says so
According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.
How to find the p-value of a test?
It depends on the test statistic z, as follows.
For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z.In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.
The test statistic is z = 1.83, which has a p-value of 0.966.
1 - 0.966 = 0.034.
Hence, the approximate p-value for Fay's test is of 0.034.
You can learn more about p-values at brainly.com/question/13873630
The ratio of blue cars to red cars in a garage is 7:6. If there are
28 blue cars in the garage then how many red cars must be in the garage?
Answers
Answer:
24 Red Cars
Step-by-step explanation:
Step 1 : Create a ratio
7:6 = 28:x
Step 2 : Find the relation between the two.
28/7 = 4
Step 3 : Multiply 6 by 4 to find x
6 * 4 = 24
Edit : Reread question
Answer:
24
Step-by-step explanation:
7/6=28/x
7x=28*6
7x=168 ...both divide by 7
x=24
red cars in garage 24
Need help lol. last day to turn this in and failing by 1 point please help
Answers
m2=65°
m3=29°
m4=115°
m5=65°
m6=36°
m7=144°
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answers
Answer: Trapezoid
Step-by-step explanation:
Trapezoids are parollelograms, that’s all
A sphere has a radius of 15ft find the volume of the sphere
Answers
Answer:
14130= I rounded
Step-by-step explanation:
This is the formula
4/3 x pi x r cubed
radius :15
pi = 3.14
substitue the Values
4/3 times 3.14 times 15 times 15 times 15.
3375 = 15 times 15 times 15
3375 x 3.14 = 10597.5 x 4/3
14130
Answer:
14,137.1669 ft^3
Step-by-step explanation:
1. Cube the radius: 15^3 = 3375
2. Multiply the cubed radius by 4/3: 3375*4/3 = 4500
3. Multiply the equation by 3.14159 (pi): 4/3(3.14159)(3375) = 14,137.1669 ft^3
4. Round your answer as needed.
What is the Mean and the Median of this set of test scores?
{76, 82, 54, 100, 100, 82, 100, 93, 100, 93}
Answers
Answer:
Mean: 88
Median:93
Step-by-step explanation:
To find the mean, add all the numbers to get the sum, then divide by how many numbers there are.
Put the numbers from smallest to largest, then find the number in the middle if there’s an odd amount of numbers. If there is an even amount of numbers, find the two in the middle, add them together, and divide by 2 to get the median.
Mean: 76+82+54+100+100+82+100+93+100+93 = 880/10 = 88
Median: 54, 76, 82, 82, 93, 93, 100, 100, 100, 100
There is an even amount of numbers (10)
The two in the middle are 93 and 93
93+93=186/2=93
He decides to conduct a chi-square goodness-of-fit test to see whether his high school's distribution differs significantly from that of the publication. Pasquale’s statistics teacher tells him that his information does not meet the conditions necessary for a goodness-of-fit test. Which condition has not been met? Data are collected using a random sample or randomized experiment n≤0.10N All expected counts are greater than 5.
Answers
Answer:
Step-by-step explanation:
Is anyone good at geometry if so can someone help me please ?
NO LINKS PLEASE
Answers
Answer: A 274.1
Step-by-step explanation: A=(n)(a)(ri/2). So, when eveverything is plugged in it would be (7)(8.7)(9/2)=274.05
You can and should use this formula for any regular polygonHow many sides does a polygon have if the sum of the interior angles is 2240
?
Answers
Answer:
Note: it seems a typo, should be 2340 instead of 2240
Sum of interior angles of a polygon:
S = 180(n - 2)We have:
S = 2340Find n:
180(n - 2) = 2340n - 2 = 2340/180n - 2 = 13n = 1515 sides
90(2n-4)=Sum of interiors
2240=90(2n-4)2240=180n-360180n=2600n=2600/180n=14.4=14x^2+ 6x + 8
Vertex:
Axis of symmetry:
Y-intercept:
X-intercept:
Answers
Answer:
( + 2 ) ( + 4 )
Step-by-step explanation:
Answer:
See below for answers and explanations (along with a graph)
Step-by-step explanation:
To calculate the vertex, we can transform the expression into an equation in the form of y=a(x-h)²+k and take (h,k) as our vertex. By completing the square, we see that y=x²+6x+8 is the same as y=(x+3)²-1, implying that our vertex is (-3,-1)
To calculate the axis of symmetry, it is defined as the vertical line that passes the x-axis, defined as x=h, therefore the axis of symmetry is x=-3
To calculate the y-intercept, it is defined as the y-value when x=0, therefore the y-intercept would be y=(0)^2+6(0)+8=8, so y=8 or (0,8)
To calculate the x-intercepts, which are the x-values when y=0, we can factor the expression and set it equal to 0 so we can use the Zero Product Property. Therefore, if x²+6x+8=0, then (x+2)(x+4)=0, implying that x+2=0 and x+4=0 are solutions. This means that our x-intercepts are x=-2 and x=-4 or (-2,0) and (-4,0).
Note that there are different ways to achieve these answers. See the graph for a visual reference (you may need to click on it to zoom in).
Solve for n.
n + 184 = –375
Answers
Answer:
n=-559
Step-by-step explanation:
Hope this helps and have a great day. :)
Answer:
n= -559
Step-by-step explanation:
So in order to solve this, you need to subtract 184 on both sides.
n+184=-374
-184=-184
-----------------------
n= -559
So the answer is n= -559
Hope this helped!!! :)
A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _____ as the interval from the sample of size 100.
Answers
Answer:
A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.
50 PTS for answer!! I need help! "Work this one out," said Monica to her colleague. "I drive from my home to the office every morning. At the back of my house is a short, fairly narrow driveway approximately 300 yards long. I drive my car down this driveway in a westerly direction, yet when I stop the car at the end of the driveway it is facing east."
"Does the driveway go round in a circle?" asked the colleague.
"No," replied Monica, "it is absolutely straight."
What is the explanation?
Answers
es norte sur este y oeste es un camino completamente recto esta en circulo por ue esta la brujula que apunta al norte y al sur
Two friends are to meet at the library. Each independently and randomly selects an arrival time within the same one-hour period. Each agrees to wait a maximum of fifteen minutes for the other to arrive. What is the probability that they will meet
Answers
Answer:
The probability that they will meet is 0.4375
Step-by-step explanation:
Let A and B be two friends who choose to meet the same one-hour period.Since there are 60 minutes in an hour therefore n= 60
A can wait for 15 minutes
So the probability of A to meet is given by P(A)= (15/60)= 1/4
Similarly
B can wait for 15 minutes
So the probability of B to meet is given by P(B)= (15/60)= 1/4
The probability that A cannot meet is given by 1- P(A)= 1-1/4= 3/4
Similarly
The probability that B cannot meet is given by 1- P(B)= 1-1/4= 3/4
And
The probability that both A and B cannot meet is given by = 3/4*3/4= 9/16
So the probability that both will meet = 1- 9/16= 7/16= 0.4375
From the equation below, where is the center of the circle located and what is the radius?
(x – 4)2 + (y + 8)2 = 16
A) Center: (4, -8) Radius = 4
B) Center: (-4, 8) Radius = 4
C) Center: (4, -8) Radius = 16
D) Center: (-4, 8) Radius = 16
Answers
Answer:
B Center: (-4, 8) Radius = 4
Step-by-step explanation:
plz plz plz plz help me plz it is due in 1 hour and no links plz
Answers
A= 1/2 • 40 • 14 = 280 cm2
A= 1/2 • 56 • 10 = 280 cm2
Extra note: any side of a triangle can be a base. Once you choose a base, there will be only one corresponding height.
MARK ME BRAINLIEST TYSM!
Have a nice day!
PLEASE HELP W GEOMETRY #4 and 5!!!!!
Answers
Answer:
Given diagram is not pentagon it is hexagon.
answer for 5 no question is 66 degree.
Step-by-step explanation:
Hope it helps u!!
which expression defines function h?
Answers
Answer:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^3 + 9x^2 -12x[/tex]
[tex]g(x) = x - 1[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
Required
What defines h(x)
Looking at the degree of f(x), g(x) and h(x), we have:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
See proof
[tex]h(x) = (\frac{f}{g})(x)[/tex]
This gives:
[tex]h(x) = \frac{f(x)}{g(x)}[/tex]
[tex]h(x) = \frac{3x^3 + 9x^2 -12x}{x - 1}[/tex]
Factorize
[tex]h(x) = \frac{(3x^2 + 12x)(x - 1)}{x - 1}\\[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
what’s the value of x ?
Answers
Answer:
x=70
Step-by-step explanation:
Because these angles are on the opposite sides of each other, they have to add up to 180. This will make the equation 2x-5+45=180. Simplify this to get 2x+40=180. Subtract 40 from both sides to get 2x=140. Divide each side by 2 to isolate x. x=140/2. Simplify this to get x=70.
If this helps please mark as brainliest
A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There are different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below:
Student type
Region undergraduate graduate
East $10 $15
Central $12 $18
West $15 $21
The requirements for the survey are as follows:
The survey must have at least 1500 students
At least 400 graduate students
At least 100 graduate students should be from the West
No more than 500 undergraduate students should be from the East
At least 75 graduate students should be from the Central region
At least 300 students should be from the West
The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region.
Clearly state the problem (objective function, constraints)
Answers
Answer:
Objective Minimize 10x1 +15x2 + 12x3+18x4+15x5+ 21x6
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
Step-by-step explanation:
Let
X1 = # of undergraduate students from the East region,
X2 = # of graduate students from the East region,
X3 = # of undergraduate students from the Central region,
X4 = # of graduate students from the Central region,
X5 = # of undergraduate students from the West region, and
X6 = # of graduate students from the West region.
Then the cost functions are
y1= 10x1 +15x2
y2= 12x3+18x4
y3= 15x5+ 21x6
According to the given conditions
The constraints are
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500------- A
15X2 +18X4+21X6 ≥ 400---------B
21X6 ≥ 100
X6 ≥ 100/21
X6 ≥ 4.76
Taking
X6= 5
10X1 ≤ 500
X1 ≤ 500/10
X1≤ 5
18X4 ≥ 75
X4 ≥ 75/18
X4 ≥ 4.167
Taking
X4= 5
Putting the values
15X5+ 21X6 ≥ 300
15X5+ 21(5) ≥ 300
15X5+ 105 ≥ 300
15X5 ≥ 300-105
15X5 ≥ 195
X5 ≥ 195/15
X5 ≥ 13
Putting value of X6 and X4 in B
15X2 +18X4+21X6 ≥ 400
15X2 +18(5)+21(5) ≥ 400
15X2 +195 ≥ 400
15X2 ≥ 400-195
15X2 ≥ 205
X2 ≥ 205/15
X2 ≥ 13.67
Taking X2= 14
Now putting the values in the cost equations to check whether the conditions are satisfied.
y1= 10x1 +15x2
y1= 10 (5) + 15(14)= 50 + 210= $ 260
y3= 15x5+ 21x6
y3= 15 (13) + 21(5)
y3= 195+105= $ 300
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500
5+14+x3+5+13+5≥ 1500
x3≥ 1500-42
x3≥ 1458
y2= 12x3+18x4
y2= 12 (1458) + 18 (5)
y2= 17496 +90
y2= $ 17586
The cost can be minimized if the number of students from
Undergraduate Graduate
East Region X1≤ 5 X2 ≥ 13.67
Central X3≥ 1458 X4 ≥ 4.167
West X5 ≥ 13 X6 ≥ 4.76
This will result in the required number of students that is 1500
Constraints:
East Undergraduate must not be greater than 5
East Graduate must not be less than 13
Central Undergraduate must be greater than 1458
Central Graduate must be greater than 4
West Undergraduate must be greater than 13
West Graduate must be greater than 4
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The east region has a least cost of $260 and west region has a cost of $300.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
In ΔPQR, the measure of ∠R=90°, RP = 7.6 feet, and QR = 5 feet. Find the measure of ∠Q to the nearest degree.
Answers
Answer:
15.9454=15.9
Step-by-step explanation: