Answer:
D. 76
Step-by-step explanation:
a = 90°
a + b + 14 = 180°
90 + b + 14 = 180°
b = 180 - (90 + 14 )
b = 76°
The measure of ∠ b is 76°.
What is Cyclic Quadrilateral?
A Cyclic Quadrilateral is defined as a quadrilateral that is contained by a circle is referred to as a cyclic quadrilateral. This indicates that a circle connects the quadrilateral's four vertices. Concyclic vertices are referred to as such. Circumcenter and circumradius are terms used to describe the circle's center and radius, respectively.
According to given figure as:
Angle ∠ a = 90°
∠ a + ∠ b + 14° = 180° ( three angles of triangle)
90 + ∠ b + 14 = 180°
∠ b = 180 - 90 - 14
∠ b = 180 - 104
∠ b = 76°
Hence, the measure of ∠ b is 76°.
Learn more about Cyclic Quadrilateral here:
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Could Anyone Help ??!!!
Answer:
M = (-1, 0) on the x-axis
Step-by-step explanation:
You know the midpoint is the average of the coordinates of the end points:
M = (S +T)/2
M = ((-4, -3) +(0, 3))/2 = (-4+0, -3+3)/2 = (-2, 0)/2
M = (-1, 0)
The midpoint is (-1, 0). It lies on the x-axis because the y-coordinate is 0.
Yesenia sells sports equipment and is a paid a commission of 5.55% her sales. What is the total commission for a week if she sells $8,880 in sports equipment
Answer:
Yesenia's total commission for the week is $492.84
Step-by-step explanation:
Yesenia sells sports equipment and is paid commission
Yesenia's commission=5.55%
Weekly sales=$8,880
Total commission = 5.55% of $8,880
= 5.55/100 × 8,880
=0.0555 × 8,880
=492.84
Total commission=$492.84
Yesenia's total commission for the week is $492.84
The Bionic Woman gives Batman a 12 second
start in a 2 kilometre race. If the Bionic Woman
runs at 5 km/min, and Batman runs at 3 km/
min, who will win the race and by how many
seconds?
Answer:
Bionic Woman wins by 4 seconds.
Step-by-step explanation:
Given:
Speed of Batman = 3 km/min
Speed of Bionic woman = 5 km/min
Total distance = 2 km
Start given to Batman = 12 seconds
To find:
Winner of the race and by how many seconds?
Solution:
Start given to Batman = 12 second start
Let us find the Distance traveled by Batman in 12 second.
12 seconds = [tex]\frac{1}{5}[/tex] minutes
[tex]Distance = Speed \times Time[/tex]
[tex]Distance = 3 \times \frac{1}{5} = 0.6\ km[/tex]
Hence, distance left for batman to be traveled = 2 - 0.6 = 1.4 km
Time taken by Batman = [tex]\frac{1.4}{3} \times 60[/tex] seconds = 28 seconds
Distance for Bionic woman to be traveled = 2 km with 5 km/min
Time taken by Bionic Woman = [tex]\frac{2}{5}[/tex] minutes = 24 seconds
Bionic woman is taking lesser time, So the winner of the race will be Bionic woman.
She will win by 28-24 = 4 seconds
So, answer is:
Bionic Woman wins by 4 seconds.
8 + 5 x (11 - 5) - 9
Please help me
I got 60 as my answer
you ALWAYS do your parentheses first
then you do 8+5 and that equals 13•6-9
13 times 6 is 78. then you subtract 9 which will leave you with 60. hope that helped ☺️
Hariette would like to review the income and expenses that were actually paid last month so she can determine how much to set aside for her estimated taxes. What accounting method should Hariette choose when she runs the Profit & Loss report? Cash (basis) Accrual (basis) Modified (basis) Hybrid (basis)
Answer:
Hybrid basis
Step-by-step explanation:
There are different methods of accounting used by businesses depending on their peculiar needs. Below are the type of accounting methods:
- Cash basis is when revenues and expenses are recognised when cash is recieved or paid out.
-Accrual basis is when revenue and expenses are recognised when they are earned. For example if services are rendered to a client that will pay in a week's time, since service has already been given it is considered that the future payment has been earned.
- Modified basis combines elements of cash and accrual basis. For example considering short term assets like accounts receivable and accounts payable as cash items. Long term assets are recorded on accrual basis.
- Hybrid basis is used when cash and accrual methods are used for various expenses and tax. Mostly it is used for internal accounting purposes.
In this scenario Hariette would like to review the income and expenses that were actually paid last month. This requires a cash basis that shows actual amount recieved and paid last month. Account receivable and payable are not considered.
In setting aside money for tax she will employ accrual basis accounting. It is an expense that is estimated for future use.
So the hybrid basis is the method that will be most suitable.
What is the value of x?
Answer:
8
Step-by-step explanation:
2x + 6y = 4
Since, graph passes through (x, - 2)
Therefore, plug y = - 2 in the above equation.
2x + 6*(-2) = 4
2x - 12 = 4
2x = 12 + 4
2x = 16
x = 16/2
x = 8
Solve 5h + 2(11 - h) = -5 (Find h. Explain each step please.)
Answer:
h = -9
Step-by-step explanation:
Distribute the 2 to the parentheses:
5h + 2(11 - h) = -5
5h + 22 - 2h = -5
Add like terms:
3h + 22 = -5
3h = -27
h = -9
Answer:
h = -4.5
Step-by-step explanation:
5h + 2(11-h) = -5
5h + 2(11-h)
+h +h
6h + 2 x 11 = -5
6h + 22 = -5
- 22 -22
6h = -27
/6 /6
h = -4.5
I hope this helps, I know the explanation is kinda confusing but I tried my best to explain :))
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What is the missing constant term in the perfect square that starts with 22 – 12x ?
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Report a problem
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Answer:
36
Step-by-step explanation:
[tex](x {}^{2} - 6)(x {}^{2} - 6)[/tex]
then we get,
[tex]x {}^{2} - 12x + 36[/tex]
Find the value of unknown 3x -2 = 4 *
3x - 2 = 4
Move the -2 to the other side of the equals sign to make it 4 + 2, it is now a positive because when you moved it to the other side of the equals sign the negative always changes to a positive.
Now;
3x = 4 + 2
3x = 6, divide each side by 3.
x = 2.
PLEASE HURRY......What is the absolute value of –8? Use the number line to help answer the question. A number line going from negative 8 to positive 8. A point is at negative 8. –16 –8 8 16
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
I took the test.
Amber would like to go on the field trip this Saturday. However, she was scheduled to work 10 hours and she makes $8.50 an hour. Additionally, the field trip activity fee was $30. What is her opportunity cost to go on the field trip?
Answer:
The opportunity cost is $85.
Step-by-step explanation:
The scheduled for work = 10 hours.
Money that Amber makes by earning = $8.50 per hour.
Total money earned by Amber = 10 ×8.50 = $85
The fee of the filed trip = $30
Now we have to find the filed trip’s opportunity cost. Since we know that the opportunity cost is the amount that is left in order to get the best alternative. Therefore, if Amber goes on a field trip then he has to forgive the earning. So, the total earning $85 is the opportunity cost.
Write an equation for the graph below in slope-intercept form:
Answer: y<1x-2
Step-by-step explanation:
Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.
First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it already indicates that the y intercept is -2 .
(0,-2)
(2,0) Use these points o the find the slope.
0- 2 = -2
-2 -0 = -2
-2/-2 = 1 The slope is one so the equation will be y = 1x - 2 But since this is not an inequality we have to change the equal to sign to an inequality sign.
Looking at the line, it is a dashed line so the inequality sign will be > or <
The painted side of the graph represents the solutions of the graph and that is all underneath the graph so the inequality will be y < 1x-2
What is the difference between 5√3 and √27
Answer:
2√3
Step-by-step explanation:
5√3 - √27
= 5√3 - √9√3
= 5√3 - 3√3
=2√3
At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the probability that more than half of these babies are female is closest to? a. 0.61, b. 0.70, c. 0.39, d. 0.47, 0.53 (I will award you the brainiest)
Answer:
The probability that more than half of these babies are female is closest to 0.53.
Step-by-step explanation:
We are given that at a certain hospital, the probability of a child being born female is 0.5. 80 babies are born on a certain day.
Let X = Number of babies that are female
The above situation can be represented through binomial distribution which means X ~ Binom(n = 80, p = 0.51)
Here, n = number of samples taken and p = probability of success
For finding the probability we will use the normal approximation because the sample size is greater than 30 (n > 30), i.e;
Mean of X, [tex]\mu[/tex] = [tex]n \times p[/tex]
= 80 [tex]\times[/tex] 0.51 = 40.8
Standard deviation of X, [tex]\sigma[/tex] = [tex]\sqrt{n \times p\times (1-p)}[/tex]
= [tex]\sqrt{80 \times 0.51 \times (1-0.51)}[/tex] = 4.5
So, X ~ Normal([tex]\mu=40.8, \sigma^{2} = 4.5^{2}[/tex])
Now, the probability that more than half of these babies are female is given by = P(X > 40) = P(X > 40.5) {using continuity correction}
P(X > 40.5) = P( [tex]\frac{X-\mu}{{\sigma}} }[/tex] > [tex]\frac{40.5-40.8}{{4.5} } }[/tex] ) = P(Z > -0.07) = P(Z < 0.07)
= 0.5279 ≈ 0.53
The above probability is calculated by looking at the value of x = 0.07 in the z table which has an area of 0.5279.
Hence, the probability that more than half of these babies are female is closest to 0.53.
Please help, thank you!
Answer:
15
Step-by-step explanation:
3x+4x+8=5x+10
7x+8=5x+10
7x-5x=10-8
2x=2
x=1
AC=5x+10=5(1)+10=15
3.
In the figure. ABCD is a parallelogram. Find the area and the
perimeter of ABCD.
Answer:
Step-by-step explanation:
I am not sure if this is correct but I hope it helps
Find the length of the missing side.
Does the construction demonstrate how to bisect a segment correctly by hand? I need dire help with this one:(
The price for each notebook is p. The number of the
notebooks bought by Lily, Jim and Jessica is a, b and c.
Which of the following expression represents the total cost
of all the notebooks bought by the three people?
Answer: price of total notebooks = p(a+b+c) or pa+pb+pc= price of total notebooks
Step-by-step explanation:
you have to add all the number of notebooks or a b and c and then multiply it by the price of each notebook. there are multiple ways to do this but those are the ways I could think of.
if a=2, b=3 and c=6 then you have to add 2+3+6 to equal 11 then multiply 11 by the price of each notebook, say p=$4.50 your equation would be 4.50*11 which is $49.50, and that would be the total of all the notebooks. these numbers metaphorical of course, but hope that puts it into perspective.
.The diagonal of a quadrilateral shaped field is 32 m and the perpendiculars dropped on it from the remaining opposite vertices are 10m and 14m. Find the area of the field.
Answer:
Area of the field = 384
Step-by-step explanation:
Given:
diagonal = d = 32 m
perpendiculars dropped on it from the remaining opposite vertices:
h1 = 10 m
h2 = 14 m
Sum of perpendiculars:
h1 + h2 = 10 + 14
= 24
Area of the field = 1/2 x d x (h1 + h2)
= 0.5(32)(24)
Area of the field = 384 m²
15•(3 + b) = 45 + b
Use properties and definitions of operations to show that the statement is true. Justify each step.
1. Simplify: 8x ÷ (-1/4)
Answer:
-32x
Step-by-step explanation:
Dividing a fraction is the same as multiplying its reciprocal, so we can rewrite the expression as 8x (-4).
We then solve, getting -32x.
Answer:
-32x
Step-by-step explanation:
Hello!
when you divide by a fraction you multiply the denominator to the dividend
8x * -4 = -32x
The answer is -32x
Hope this helps!
Find the slope of the line passing through (-4,6) and (10,8)
Answer:
1/7
Step-by-step explanation:
In order to determine the slope, we must find the change in y over the change in x:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{8-6}{10--4}[/tex] = 2/14= 1/7.
Therefore, the slope between these two points is 1/7.
Answer:
1/7
Step-by-step explanation:
To find the slope when given two points, use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-4,6) be x₁ and y₁ and let (10,8) be x₂ and y₂:
[tex]m=\frac{(8)-(6)}{(10)-(-4)} =2/14=1/7[/tex]
Therefore, the slope of the line passing through the two points is 1/7.
Passes through (3, 1) and is perpendicular to the line y=2x+1
Answer:
y = -1/2x + 5/2 or y = -0.5x + 2.5
Step-by-step explanation:
perpendicular lines have reciprocated slopes (opposite signs and values)
y = 2x + 1 → y = (-1/2x) + b
plug in (3,1) to find b
1 = -1/2(3) + b
1 = -1.5 + b
2.5 = b
y = -1/2x + 5/2 or y = -0.5x + 2.5
Answer:
y = -1/2 x +5/2
Step-by-step explanation:
y = 2x+1 is in slope intercept form ( y = mx+b) where 2 is the slope
We want a line perpendicular
Perpendicular lines have slopes that multiply to -1
m * 2 = -1
Divide by 2
m = -1/2
The slope of the perpendicular line is -1/2
y = mx+b
y = -1/2x +b
Using the point (3,1)
1 = -1/2 *3 +b
1 = -3/2 +b
Add 3/2 to each side
2/2 +3/2 = b
5/2 = b
y = -1/2 x +5/2
There are only two orthodontists in a village and both wore braces until last month. Dr. Carter now has straight teeth and a clean office. Dr. Shuman now has crooked teeth and a messy office. Based only on this given information, which orthodontist should you go to if you want your teeth straightened? Explain your reasoning.
Answer:
Dr Carter
Step-by-step explanation:
I would want to visit Dr. Carter for an orthodontis appointment for multiple reasons. One, he can prove that he doesn’t do his work sloppily as his office is clean, and two, he can prove that his treatments work. since his teeth are now perfectly straight, that shows that his Braces really work, whereas Dr. Shuman’s treatments either don’t work or take a lot longer for results to appear.
Is x=3 a solution for the equation: 3x + 7 = 13
Why or why not ?
Answer:
No.
Step-by-step explanation:
There are two different ways to do this - solve for x in the given equation or substitute the value for x and see if you get a true statement.
3x + 7 = 13 subtract 7 from both sides
3x = 6 divide by 3 on both sides
x = 2
3(3) + 7 = 13
9 + 7 = 13
16 ≠ 13
Therefore, x = 3 is not a solution for 3x + 7 = 13.
Replace the values of m and n to show the solutions of this equation.
x^2 + 6x - 5 = 0
Answer: x = 2, x = 3 ( whichever is m and whichever is n )
Step-by-step explanation: h
x^2 + 6x - 5 = 0
( x - 2 ) ( x - 3 ) you take the x^2 and you split it into separate groups
the negatives will give you a positive 6, but also a negative 5. you want to use multiples of 6 to add up to -5. so you do ( x - 2 ) and ( x - 3 ) and it doesn't matter what order you do the numbers!! both are negative trying to add up to a negative.
then you want to get x.
x - 2 = 0
add two to the 0 and x = 2
then the other x
x - 3 = 0
add the three to the 0 and x = 3
Answer:
x=-3+[tex]\sqrt{x} 14[/tex]
Step-by-step explanation:
I got it right on plato
Find the distance between the two points (-4, 6) and (3,-7) Your answer
Answer: 14.76 or the square root of 218
Step-by-step explanation:
To find the distance find the change in the x values and y values then square them and add them to find their square root.
-4 -3 = -7
6 - (-7) = 13
7^2 + 13^2 = c^2
49 + 169 = c^2
218 = c ^2
c= 14.76
A turtle moves an an average speed of 12 inches/hour. How long does it take the turtle to travel 8 inches?
Answer:
40 minutes
Step-by-step explanation:
We can solve this problem through finding the proportion...
Let the time taken to travel 8 inches at the speed be x
Hence, 12:60 :: 8:x
We must multiply the extremes and the nears..
Hence,
12x=60×8
x=60×8/12
x=40 minutes
A skydiver weighing 160 lb (including equipment) falls vertically downward from an altitude of 20,000 ft and opens the parachute after 18 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.7|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity vis measured in ft/s. Assume that acceleration due to gravity has magnitude 32 ft/s; remember that weight is the product of mass and gravitational acceleration.
Required:
a. Find the speed of the skydiver when the parachute opens.
b. Find the distance fallen before the parachute opens.
c. What is the limiting velocity vL after the parachute opens?
d. Determine how long the sky diver is in the air after the parachute opens.
e. Plot the graph of velocity versus time from the beginning of the fall until the sky diver reaches the ground.