Answers
Answer:
42°
Step-by-step explanation:
given OA and OC are perpendicular, the angle between the lines are 90°
this means that ∠AOB and ∠BOC add up to 90°, i.e.
(6x-6) + (5x+8) = 90
6x-6 + 5x+8 = 90
11x - 6 +8 = 90
11x + 2 = 90 (subtract 2 from both sides)
11x = 90- 2
11x = 88 (divide both sides by 11)
x = 8
Hence, m∠BOC
= 6x - 6
= 6(8) - 6
= 48 - 6
= 42°
Related Questions
Analyze the diagram below and complete the instructions that follow.
Find sin ZNOM.
Answers
Answer:
sin NOM = 3/5
Step-by-step explanation:
sin NOM = opposite/ hypotenuse = MN/OM
OM² = 4² + 3² = 25
OM = √25 = 5
sin NOM = MN/OM = 3/5
A function is represented by the table. x y 3 -2 5 -26 7 -50 The rate of change of the function represented in the table is . For the given x- and y-values, the function is .
Answers
Answer:
Step-by-step explanation:
Here is your x/y table, a bit more organized:
x | 3 5 7
y | -2 -26 -50
The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:
Between the first 2 coordinates (3, -2) and (5, -26):
[tex]m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12[/tex]
Between coordinates 2 and 3 which are (5, -26) and (7, -50):
[tex]m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12[/tex]
The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:
[tex]y-y_1=m(x-x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:
[tex]y-(-2)=-12(x-3)[/tex] and
y + 2 = -12x + 36 and
y = -12x + 36 - 2 so the equation for the line in slope-intercept form is
y = -12x + 34
Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!
Answer:
hi its -12 and decreasing.
Match the measureable quantity given by its formula with the appropriate unit(s).
speed = distance/time
square meters
area = (length)(width)
meters per second
volume = (length) (width)(height)
UUOO
meters
perimeter = 2 (length) + 2 (width)
cubic centimeters
Intro
rity
Done
Answers
Answer: i hope this helps (answer is down below)
Step-by-step explanation:
Area goes to square meters
speed goes to meters per second
volume goes to cubic centimetres
perimeter goes to meters
Help me real quick plz, will give more points and 5 star rate if right answer is given.
Answers
Step-by-step explanation:
I think D
But I am not sure
sorry unknowingly I typed option A
Answer:
D
Step-by-step explanation:
What is the numerator of the simplified sum? StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction
Answers
Answer:
4x + 6
Step-by-step explanation:
Given
[tex]\frac{x}{x^2+3x+2}[/tex] + [tex]\frac{3}{x+1}[/tex]
Before we can add the fractions we require them to have a common denominator.
Factor the denominator of the first fraction
[tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3}{x+1}[/tex]
Multiply the numerator / denominator of the second fraction by (x + 2)
= [tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3(x+2)}{(x+1)(x+2)}[/tex] ← fractions now have a common denominator
Add the numerators leaving the denominators
= [tex]\frac{x+3(x+2)}{(x+1)(x+2)}[/tex]
= [tex]\frac{x+3x+6}{(x+1)(x+2)}[/tex]
= [tex]\frac{4x+6}{(x+1)(x+2)}[/tex] ← simplified sum with numerator 4x + 6
The missing term in the following polynomial has a degree of 5 and a coefficient of 16. Which statement best describes the polynomial? It is not in standard form because the degree of the first term is not greater than six. It is not in standard form because the degree of the first term should be equal to zero. It is in standard form because the exponents are in order from highest to lowest. It is in standard form because the coefficients are in order from highest to lowest.
Answers
Answer:
A.) It is not in standard form because the degree of the first term is not greater than six.
Step-by-step explanation:
Line A passes through the points (-8, 5) and (-5, 4). Line B passes through the points (0, 1) and (4, -1). Which of the following describes the relationship between line A an line B?
.
Lines A and B are parallel, because they have the same slope
.
Lines A and B are parallel, because they have opposite reciprocal slopes.
.
Lines A and B are perpendicular, because they have opposite reciprocal slopes.
.
Lines A and B intersect, because their slopes have no relationship.
Answers
Answer:
Last option is the correct choice.
Step-by-step explanation:
Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]
Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]
Lines A and B intersect, because their slopes have no relationship.
Best Regards!
Lines A and Line B intersect, because their slopes have no relationship.
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given,
Line A passes through the points (-8, 5) and (-5, 4)
Let
x₁ = -8, y₁ = 5
x₂ = -5, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m₁ = (4 - 5)/(-5 - (-8))
m₁ = (4 - 5)/(-5 + 8)
m₁ = -1/3
So, the slope of the line A is -1/3
Line B passes through the points (0, 1) and (4, -1).
m₂ = (-1 - 1)/(4 - 0)
m₂ = (-2)/(4)
m₂ = -1/2
So, the slope of the line B is -1/2
Hence, Lines A and Line B intersect, because their slopes have no relationship.
Learn more about Slope of Line here:
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What are TWO equivalent expressions for 2(3j+ 5 + 6j) Remember I need TWO equivalent expressions.
Answers
Answer:
Hope it helps:) 18j+10
Step-by-step explanation:
(2)(3j+5+6j)
(2)(3j)+(2)(5)+(2)(6j)
6j+10+12j
18j+10
The probability that Paul wins in a raffle is given by the expression
p.
Write down an expression for the probability that Paul does not win.
Answers
Answer:
[tex]1 - p[/tex]
Step-by-step explanation:
Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that
[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].
So
[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].
But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.
h=(-5) answer needed now!!!!
Answers
Answer:
-2
Step-by-step explanation:
h(-5) represents the y value when x is -5.
The table shows the ages of players on a football team.
Age
Frequency
a) Work out the mean age of the team.
Round your answer to 1 decimal place.
19
2.
20
3
21
1
b) A new player joins the team and raises
the mean age to 22.
22
4
23
1
Work out the age of this new player.
Answers
Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
Ash and Misty are both travelling by train. Ash's train travels 80 km in 50 minutes. Misty's train travels 160 km. It leaves at 12:35 and arrives at 15.05. Work out the difference, in km/h, between the average speed of their trains.
Answers
Answer:
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Step-by-step explanation:
For Ash's Train;
Distance travelled d1 = 80km
Time taken t1 = 50 minutes = 5/6 hour
Average speed = distance travelled/time taken
v1 = d1/t1
Substituting the values;
v1 = 80/(5/6)
v1 = 96km/h
For Misty's train;
Total distance travelled d2 = 160 km
Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes
t2 = 2.5 hours
v2 = d2/t2 = 160/2.5
v2 = 64 km/h
the difference, in km/h, between the average speed of their trains is;
∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Answer:
32km/h
Step-by-step explanation:
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 823, makes the most sense
Answers
Answer:
He's wrong, he should have divided both sides by 3
b≤8.66666
Step-by-step explanation:
Answer:
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2/3, makes the most sense?
Step-by-step explanation:
A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two airplanes are separated by an angle of 58°. The large plane is 5.2km from the observation tower. a. Draw a diagram to represent this situation. b. How far is the small plane from the observation tower, to the nearest tenth of a kilometer?
Answers
Answer:
7.9km
Step-by-step explanation:
(a)See attached for the diagram representing this situation.
(b)
In Triangle ABC
[tex]\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ[/tex]
Next, we determine the value of Angle B.
[tex]\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ[/tex]
Finally, we find b.
[tex]\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)[/tex]
The distance between the small plane and the observation tower is 7.9km.
20 points!!!! match the justification to each statement in the solution of x + 12.7 =-25.2.
Answers
Answer: x + 12.7 = -25.2 ✓given
x + 12.7 -12.7 = -25..2 -12.7 ✓ Subtraction property of equality
x + 0 = -37.9 ✓ Additive inverse and simplification
x = -37.9 ✓ Identity property
Step-by-step explanation: Put the steps in order. Then it makes some sense. Why is the step "legit"?
I NEED HELP ASAP! THANKS :)
Answers
Answer: A) stretched vertically by 2 and shifted up 6 units
Step-by-step explanation:
y = A log(Bx - C) + D where
A = vertical stretch by a factor of AB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up, negative = down)Given: f(x) = log x
g(x) = 2 log x + 6
→ A = 2 vertical stretch by a factor of 2
→ D = +6 vertical shift UP 6 units
0.45?
How much do this equal
Answers
Answer:
.45
$0.45
45%
45/100
Step-by-step explanation:
ASAp !!!!!!!!!!! Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800
Answers
The set the describes the domain of P(h) is (b) {h| 0 ≤ h ≤ 60}
How to determine the domain?In this case, the domain represents the set of hours he is permitted to work
From the question, we understand that he cannot work more than 60 hours
This means that, the least number of hours to work is 0, and the highest is 60
So, the domain is 0 to 60
When represented properly, the domain of P(h) is (b) {h| 0 ≤ h ≤ 60}
Read more about domain at:
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The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.
Answers
Answer:
sequence is 19, 15, 11 ....
so nth term is : -4n+(19+4)
therefore : -4n + 23
Answer:
-4n + 23
Step-by-step explanation:
If the sum of first 9 terms of an A.P is equal to sum of its first 11 terms, then what is the sum of its 20 terms?
Pls Anyone help me!!
Answers
Answer:
Put the values into the formula....let me know if you need help....
Step-by-step explanation:
Answer: 0
Step-by-step explanation:
Sum of the first 9 terms = 9/2 (2a + 8d)
Sum of the first 11 terms = 11/2 (2a + 10d)
S9 = S11
9a + 36d = 11a + 55d
2a = -19d
2a + 19d = 0...........(1)
S20 = 20/2 (2a + 19d)
= 20/2 (0) . .. ............from (1)
S20 = 0
The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.
Which statement is true about the data?
-The mean of Box A is greater than the mean of Box B.
-The mean of Box B is greater than the mean of Box A.
-The median of Box A is greater than the median of Box B.
-The median of Box B is greater than the median of Box A.
Answers
Answer:
D: The median of Box B is greater than the median of Box A.
Step-by-step explanation:
edg2020
The median of Box B is greater than the median of Box A. Then the correct option is D.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.
The mean is given as the ratio of the sum of the observation and the number of the observation.
The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.
The mean of Box A will be
⇒ (32 + 32 + 28 + 28 + 28 + 28 + 25 + 25 + 35 + 32) / 10
⇒ 29.3
The mean of Box B will be
⇒ (48 + 20 + 32 + 20 + 32 + 32 + 40 + 20 + 21 + 28) / 10
⇒ 29.3
The median of Box A will be
⇒ 25
The median of Box B will be
⇒ 30
The median of Box B is greater than the median of Box A.
Then the correct option is D.
More about the mean link is given below.https://brainly.com/question/521501
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Find the number of sides of a polygon if each interior angle is 150°
Answers
Answer:
12
Step-by-step explanation:
The interior angle and exterior angle sum to 180° , thus
exterior angle = 180° - 150° = 30°
The sum of the exterior angles of a polygon = 360° , thus
number of sides = 360° ÷ 30° = 12
Which of the following linear equations passes through points (-1,5) and (1,-5)?
Answers
Answer:
y = -5x
Step-by-step explanation:
What is 25 x 10^6 in standard form
Answers
Answer:
25 x 10^6 in standard form
= 25,000,000
Step-by-step explanation:
brainleist!
Answer:25,000,000
Step-by-step explanation:
2. Find the LCM of 3, 11, and 12.
O 396
0 264
O 132
O 33
Answers
Answer:
132
Step-by-step explanation:
3 x 44= 132
11 x 12 = 132
Answer:
C)132
Hope this helps
Explanation) LCM(3, 11, 12) = 132
i’ve tried multiple ways to answer this question, and i’m so stuck! :( could anyone help me please!
Answers
Answer:
160 ounces
Step-by-step explanation:
32 ounces x 5=160 ounces
There are 135 people in a sport centre. 73 people use the gym. 73 people use the swimming pool. 67 people use the track. 36 people use the gym and the pool. 35 people use the pool and the track. 32 people use the gym and the track. 14 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?
Answers
Answer:
P = 11/135 = 0.0815
Step-by-step explanation:
we can said that:
14 people use all three facilities18 people use just gym and track (32 people use the gym and the track less the 14 people that use all three facilities)21 people use just pool and track (35 people use the pool and the track less the 14 people that use all three facilities)22 people use just gym and pool (36 people use the gym and the pool less the 14 people that use all three facilities)14 people use just the track (67 people use the track less the 18 people that use just the gym and the track, the 21 people that use just the pool and the track and 14 people that use all three facilities)16 people use just the pool (73 people use the swimming pool less the the 21 people that use just the pool and the track, the 22 people that use just the gym and the pool and 14 people that use all three facilities)19 people use just the gym (73 people use the gym less the 18 people that use just the gym and the track, the 22 people that use just the gym and the pool and 14 people that use all three facilities)So, there are 124 people that use the gym, the pool or the track. This is calculated using the information above as:
14 + 18 + 21 + 22 + 14 + 16 + 19 = 124
Finally, there are 11 ( 135 - 124 = 11 ) people that don't use any facility, so the probability that a person doesn't use any facility is:
P = 11/135 = 0.0815
Answer:
0.0815
Step-by-step explanation:
HELP PLSSSS,I DON'T GET IT
Answers
Answer:
Step-by-step explanation:
I THINK IT C
A point D (3, 2) is rotated clockwise through 90°. Find the new coordinates of D'.
Answers
Answer:
the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)
Step-by-step explanation:
Here are Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151,
149
What is the variance rounded to the nearest tenth?
Answers
Answer:
The variance rounded to the nearest tenth is 691.8
Step-by-step explanation:
Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149
No. of observations n = 11
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157[/tex]
Formula of variance : [tex]\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex]
[tex]\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}[/tex]
[tex]\sigma^2=\frac{7610}{11}[/tex]
[tex]\sigma^2=691.81[/tex]
Hence the variance rounded to the nearest tenth is 691.8