Answer:24
Step-by-step explanation:
By Pythagoras
a^2=b^2 +c^2
74^2-70^2=c^2
C=√576
C=24
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
Plane V and Plane J intersect at which of the following?
they intesect at line a
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
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
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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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.
Work out 4 x (1+5-8)
Answer:
-8
Step-by-step explanation:
1+5=6
6-8=-2
4x-2=-8
Answer:
8
Step-by-step explanation:
if you want to work this out use the order of operationsparenthesis is first (1+5-8)we would first do 1 + 5 = 6then 6-8which the answer would make negative6 - 8 = -2then you would do a positive x negative4 x -2 = 8cause a positive x negative = positiveWhich is a property of an angle
Answer:
it had made of two lines including an angle...
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...?
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
Letters w, x, y, and z are angle measures. Lines r and s are intersected by line m. At the intersection of lines m and r, clockwise from the top, the angles are w, x, blank, blank. At the intersection of lines m and x, clockwise from the top, the angles are: 92 degrees, y, z, blank. Which should equal 92° to prove that r ∥ s? w x y z
Answer: Angle w and angle z should equal 92° to prove that r║s
Step-by-step explanation: Let us start by constructing the lines r and s, and then draw a transversal to intersect both lines as stated in the question. At the intersection of lines m and r, we have clockwise from the top angles w, x and the other two blank. This is as shown in the picture attached.
Also at the intersection of lines m and s, clockwise from the top, the angles are 92, y, z and a blank. This is also clearly marked in the picture attached.
If the two lines r and s are parallel, then it means;
(1) Angle 92 is equal to angle z (opposite angles are equal)
(2) Angle z is equal to the blank underneath angle x (corresponding angles on two parallel lines are equal)
(3) Angle 92 is equal to the blank underneath angle x (alternate angles on two parallel lines are equal)
(4) Angle 92 is equal to angle w (corresponding angles on two parallel lines are equal)
Therefore, of all four angles marked as w, x, y and z angles w and z should equal 92° to prove that line r is parallel to line s.
Answer:
Its W i took the test and got a 100
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:
42kg in the ratio 1:5
Answer:
7 kg and 35kg
Step-by-step explanation:
hope it helps
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
Pamela and her friend Nicole are each baking apple pies and tarts for a bake sale, using the same recipes. Pamela baked 5 apple pies and 7 apple tarts, using a total of 68 apples. Nicole made 5 apple pies and 9 apple tarts, which used 76 apples. How many apples does each dessert require?
Answer:
Each apple pie requires 8 apples, and each apple tart requires 4 apples.
Step-by-step explanation:
We see that both Pamela and Nicole bake the same amount of apple pies, but different amounts of apple tarts. Because of this, we can subtract the two to try to figure out the amount of apples for each apple tart. We subtract 68 from 76, giving us 8. Nicole baked 9 apple tarts, while Pamela baked 7, and 9-7=2. So we can bake two apple tarts with 8 apples, so one apple tart requires 4 apples (we divide by 2). Now that we know the amount of apples per each apple tart, we multiply 7 apple tarts that Pamela made by 4 apples, giving us 28. We subtract that from the total amount of apples Pamela used, which was 68, giving us 40. From this we can deduct that 5 apple pies need 40 apples, and we divide by 5, giving us 1 apple pie requires 8 apples.
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:
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
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]
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)
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°
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.
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:
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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
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)
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
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
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
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
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
