Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = s / 4 sqrt(2)
Multiply each side by 4 sqrt(2)
4 sqrt(2) *sin 45 = s
4 sqrt(2) * 1/ sqrt(2) =s
4
Help PLEASE!
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box.
Answer:
The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3
P( E∪F) [tex]= \frac{24}{36}[/tex]
Step-by-step explanation:
Given Each number cube has sides numbered 1 through 6
Two distinct number cubes are rolled together
Total number of exhaustive cases n(S) = 36
Let 'E' be the event of getting sum is even
n(E) = {(1,3),(1,5), (2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4), (4,6),(5,1),(5,3),(5,5),(6,2),(6,4),(6,6)} = 17
[tex]P(E) = \frac{n(E)}{n(S)} = \frac{17}{36}[/tex]
Let 'F' be the event of getting sum that is a multiple of '3'
n(F) = {(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3),(6,6) = 12
[tex]P(F) = \frac{n(E)}{n(S)} = \frac{12}{36}[/tex]
n((E∩F) = {(2,4),(3,3),((4,2),(5,1),(6,6)} =5
[tex]P(En F) = \frac{n(En F)}{n(S)} = \frac{5}{36}[/tex]
The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3
P( E∪F) = P(E) + P(F) - P( E∩F)
[tex]\frac{17}{36} +\frac{12}{36} - \frac{5}{36} = \frac{24}{36}[/tex]
Write a rational expression that simplifies to x-3,x≠1
Aswer:
[tex]\frac{(x-1)(x-3)}{x-1}[/tex]
Step-by-step explanation:
Answer:
x-3:m=1
Step-by-step explanation:
Classify ∠COB in the image below as either Acute, Obtuse, Right, or Straight.
Answer:
obtuse
Step-by-step explanation:
The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.
Angle COB is 140 degrees, which is Obtuse
Obtuse means between 90 degrees and 180 degrees, exclusive.
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is black? Give your answer as a fraction in lowest terms.
Please help!!!
Answer:
1/4
Step-by-step explanation:
there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4
Find the quotient/correct answer
Answer & Step-by-step explanation:
In the problem, we are asked to find the quotient. The quotient is the number that we get once we divide two numbers.
We are asked to find the quotient of 9⁵ ÷ 9⁵.
When a number is divided by itself, then the answer is always going to be 1.
So, the quotient of 9⁵ ÷ 9⁵ is going to be 1.
the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner
Answer:
(1,1)
This is the answer
Mr. Green’s lawnmower holds 600milliliters of gasoline in the tank. He just filled his 6-liter gas can at the station. How many times will he be able to fill his lawnmower tank from the gas can
Answer: 10 times
Step-by-step explanation:
1 litre = 1000 ml
6 litres = 6000 ml
Lawnmover holds 600 ml
So 6000 ml will fill
6000/600 = 10 times
Plane V and Plane J intersect at which of the following?
they intesect at line a
You are renting some tables for a party and have to choose between two different rental companies. The first charges $15 per table. The second charges $40 plus $11 per table. Based on this information , the second company is cheaper if you rent more than _____ tables.
Answer:
10
Step-by-step explanation:
15x = 40 + 11x
4x = 40
x = 10
10 tables they would cost the same, so more than 10 tables would make the second company cheaper
Mr. Smith tells you that a right triangle has a hypotenuse of 19 and a leg of 10. He asks you to find the other leg of the triangle. What is your answer?
Answer: Since it is not a perfect square my answer is the square root of 261 or 16.16 which is rounded to the nearest hundredth.
Step-by-step explanation:
10^2 + b^2 = 19^2
100 + b^2 = 361
-100 -100
b^2 = 261
b= [tex]\sqrt{261}[/tex]
there are two spinners. spinner A has 2, 4, 6 on it. spinner B has 3, 6 and 9 on it. wat is the probability of scoring more than 3
Answer:
5/6
Step-by-step explanation: im not sure if this is right...?
Write Successor of 999 please help me
Answer:
1000
Step-by-step explanation:
The successor of 999 is 1000
999+1=1000
SUCCESSOR
The number which comes immediately after a particular number is called its successor. The successor of a whole number is the number obtained by adding 1 to it. Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.
At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale
Answer:
$ 14
Step-by-step explanation:
$ 40 --- 100%
$ x --- 35%
x = 40*35/100 = 14
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x - 3
5 < 10x - 3
2 - 2x < 8x
Answer:
5< 10x -3
add like terms first
make sure X's are on one side and numbers on the other
Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3?
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x - 3
Brainliest? Use the elimination method to solve the system of equations.
Answer:
A
Step-by-step explanation:
x+y=7
x-y=3
Firstly get x on its own.
You do this by adding the equations together. -y + y=0 (ethey cancel out but x+x=2x and 7+3=10
from this it shows us 2x=10
Now het x on its own by dividing by 2
this leaves us with x=5
Now input this into any of the two equations and you will get y.
For example,
5+y=7
7-5=y
y=2
input this into the equations (x,y)
which leaves us with...
(5,2)
Please help I’m stuck I would really appreciate it if you could help me in geometry <3
c will prove that b is parallel
Which of the following are linear measurements?
A) Length and width
B) Depth and height
C) Diameters, clearance, end play, and thickness
D) All of the above
Answer:
a. length and width
Step-by-step explanation:
option a is correct answer
Jacqui makes $35 an hour working as an accounting assistant. She works 40 hours each month. Jacqui will have made $___ after she’s worked 7 months.
Answer:
she'll have $9800
Step-by-step explanation:
35 (money in an hour) times 40 (hours each month) is 1400 (money mad in a month)
1400 times 7 (how many months) is 9800
Jacqui have earned $9800 after she’s worked 7 months.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Jacqui makes $35 an hour working as an accounting assistant.
She works 40 hours each month.
Here, number of hours she worked in 7 months
= 40×7
= 280 hours
Total money = 280×35
= $9800
Therefore, Jacqui have earned $9800 after she’s worked 7 months.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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Which multiplication expression is equal to 2/3 ÷ 1/2
2/3 ÷ 1/2 = 1.33333333333 or 1.3 for short
-Peter
Answer:
2*2/3 = 4/3
Step-by-step explanation:
2*2/3 = 4/3
Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.
A number line going from 0.5 to 5. 0 dots are above 0.5 0 dots are above 1. 2 dots area above 1.5. 1 dot is above 2. 3 dots are above 2.5. 1 dot is above 3. 2 dots are above 3.5. 1 dot is above 4. 0 dots are above 2.5. 0 dots are above 5.
The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?
A. The median will decrease.
B. The mean will decrease.
C.The median will increase.
D. The mean will increase.
Let's see if we can recreate the histogram from the description.
Time count
0.5 0
1 0
1.5 2
2 1
2.5 3
3 1
3.5 2
4 1
4.5 0
5 0
The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.
For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5. When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.
Answer: B the mean will decrease
Answer:
B
Step-by-step explanation:
This is because the mean will decrease
help please, i will mark brainliest
Answer:
40
Step-by-step explanation:
We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40
40 beats at 1 minute → 40 ÷ 1 = 40
80 beats at 2 minutes → 80 ÷ 2 = 40
120 beats at 3 minutes → 120 ÷ 3 = 40
160 beats at 4 minutes → 160 ÷ 4 = 40
200 beats at 5 minutes → 200 ÷ 5 = 40
Which is a property of an angle
Answer:
it had made of two lines including an angle...
In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle, and round your answers to the nearest tenth. ∠A = 82.2°,∠C = 62.8°, c = 17.1 ∠A = 82.2°, ∠C = 62.8°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 17.1
Answer:
(A)∠A = 82.2°,∠C = 62.8°, c = 17.1
Step-by-step explanation:
In Triangle ABC
∠B=35°
a=19
b=11
Using Law of SInes
[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} \\\dfrac{19}{\sin A} =\dfrac{11}{\sin 35^\circ} \\11*\sin A=19*\sin 35^\circ\\\sin A=(19*\sin 35^\circ) \div 11\\A= \arcsin [(19*\sin 35^\circ) \div 11]\\A=82.2^\circ[/tex]
Now:
[tex]\angle A+\angle B+\angle C=180^\circ\\35^\circ+82.2^\circ+\angle C=180^\circ\\\angle C=180^\circ-[35^\circ+82.2^\circ]\\\angle C=62.8^\circ[/tex]
Using Law of Sines
[tex]\dfrac{c}{\sin C} =\dfrac{a}{\sin A} \\\dfrac{c}{\sin 62.8^\circ} =\dfrac{19}{\sin 82.2^\circ}\\c=\dfrac{19}{\sin 82.2^\circ}*\sin 62.8^\circ\\\\c=17.1[/tex]
Therefore:
∠A = 82.2°,∠C = 62.8°, c = 17.1
The correct option is A.
Answer:
it is a
∠A = 82.2°,∠C = 62.8°, c = 17.1
Step-by-step explanation:
give the other dude brainliest he is correct
How can I Simplify -(x+5)+3x
Answer:
2x - 5
Step-by-step explanation:
Distribute the negative sign outside of the parentheses first to get
-x -5 + 3x
Combine like terms
= 2x - 5
Answer:
2x-5
Step-by-step explanation:
=-(x+5)+3x
=-x-5+3x opening brackets
=-x+3x-5
=2x-5
Please help! Correct answer only please! I need to finish this assignment by today.
Out of the people who have already taken their seats at a seminar, 3 people have blond hair while 6 people do not. What is the experimental probability that the next person to take a seat will have blond hair?
Simplify your answer and write it as a fraction or whole number.
P(blond) =
Answer:
1/3
Step-by-step explanation:
there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)
The experimental probability that the next person to take a seat will have blond hair is 1/3.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.
So, the experimental probability that the next person to take a seat will have blond hair is:
P(blond) = 3/(3+6) = 3/9 = 1/3.
Learn more about probability here:
brainly.com/question/11234923
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7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it
sweeps an area of 48 cm. (Taken=22/7)
(3 marks)
Page 2 of 3
Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π = [tex]\frac{22}{7}[/tex]
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 × [tex]\frac{22}{7}[/tex] × (3.5)²
48 = Ф/360 × [tex]\frac{22}{7}[/tex] ×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Factor the trinomial by grouping.
6x^2 - 7x-20
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
You have 6x^2 - 7x-20, you add and take 8x so now you have
6x^2 - 7x +8x -8x -20 now you take 6x^2 and the +8x and factorize
6x^2 +8x = 2x( 3x +4 )
and you have -7x -8x-20 = -15x -20 factorize
-5(3x +4 ) add all up.
2x(3x +4) -5(3x +4) and you have
(3x+4)(2x-5)
In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only . What is the number of the students who were there altogether ( universal set)
Answer:
23 students
Step-by-step explanation:
In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only.
Those that read maths only = 4, Those that read statistic only =7, Those that read statistics and physics only = 3, those that read maths and statistics only = 1.
Therefore those that read all three subjects = 15 - 7 - 3 - 1 = 4
Those that read maths and physics only = 12 - 4 - 4 - 1 = 3
Those that read physics only = 11 - 3 - 4 - 3 = 1
The number students = 4 + 7 + 3 + 1 + 4 + 3 + 1 = 23 students
42kg in the ratio 1:5
Answer:
7 kg and 35kg
Step-by-step explanation:
hope it helps
Solve the system algebraically. -6x+3y=27 -5x-3y=-16
Answer:
A) -6x+3y = 27
B) -5x-3y = -16 We add the 2 equations
-11x = 11
x = -1
Putting 1 into equation B)
5 -3y = -16
-3y = -21
y = 7
Step-by-step explanation: