Answer:
720
Step-by-step explanation:
The lock requires that repetition is not allowed.
The possibles numbers are 0 - 9, that is, 10 digits.
The first number in the combination can be picked from the 10 digits.
This means that there are 10 possible choices.
The second number in the combination can now only be picked from 9 digits.
This means that there are 9 possible choices.
The third number in the combination can now only be picked from 8 digits.
This means that there are 8 possible choices.
Therefore, the number of possible outcomes in the combination is:
10 * 9 * 8 = 720 outcomes
Find the distance between the points.
(4,6),(9,6)
Answer:
5
Step-by-step explanation:
Find the difference between coordinates:
(x²-x1) = (9 - 4) = 5
(y²-y1) = (6 - 6) = 0
Square the results and sum them up:
(5)² + (0)² = 25 + 0 = 25
Now Find the square root
What is the slope of the line shown?
Answer:1/2 slope
Step-by-step explanation:
Answer: -2
Step-by-step explanation: Using rise/run, take two points of the line. I took the points (3,1) (2,3). I then went down 2 (run) and then I went 1 to the right(run). Since the graph goes by 2, the equation is -4/2 resulting in the answer -2.
In a survey of 150 people, 60 like cricket only 40 like football only
and 30 do not like them, by drawing Venn-diagram firid the number
of people who like both:
[tex]the \: answer \: is \: 20. \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Corey and David both have lots of video games. The number of games Corey has can be represented by x . Ricky has 3 times as many games as Corey. The total number of games is 64 . What is x, the total number of games Corey has?
Answer:
21.3333333
Step-by-step explanation:
64/3=x
64/3=21.3333333
Sorry if its wrong.
The diagram shows a regular pentagon with centre O.
Answer:
56
Step-by-step explanation:
The size of angle x is 54°.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
All the diagonals of a pentagon are equal so, their opposite angles of equal diagonals are also equal.
The angle 'O' is a complete angle
∴ ∠O = 360°
Angle between diagonals =360/5= 72°
The sum of all interior angles of triangle is 180°
x+x+ 72°=180°
2x=180-72
2x=108°
x=54°
Hence, the size of angle x is 54°.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
Can some one plz help me solve this problem! I need help ASAP ! Help me I will mark you as brainlizt!
Answer:
a) y = -5 b) y = -4 c) y = 4 d) y = 11
Step-by-step explanation:
a) (-2+2)²-5
b) (-1+2)²-5
c) (1+2)²-5
d) (2+2)²-5
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
Step-by-step explanation:
The answer is b
There are 41 students in 6th grade Group A of a junior high school,
and the number of boys is 3 more than the number of girls.
How many boys and girls are there in the class, respectively?
Answer:
23 boys 21 girls
Step-by-step explanation:
so what i would do is 41/2 =20.5 (we round up becaue its people) 21
so if there are 3 more boys then we have 23 boys and 21 -3(to make it equal in half) 18 girls
i might be wrong im not in this level of math yet
Select all that apply.
Which of the following name a line in the drawings
Answer:
DB
It's the only line that is not a segment.
Step-by-step explanation:
please help me with question b) and please explain!!
look at the attached image
Answer:
17
Step-by-step explanation:
let x be the number of boxes to be shaded to make it 80%
x = 80% of total number
= 80/100 of 25
= 80/4
= 20
So 20 need to be shaded to fill 80%
Now, 13 of the grids are already shared so the amount of more squares that need to be shaded = 20-13
= 17 squares
Answer the following Questions
Which of the following points lie on the x-axis?
A(1, 1), B (1.0). c (0,1)D (0,0), E (-1,0), F (0-1), G (4,0), H (0,7)
Answer:
B, D, E and G lies on X axis
Find median of the data. 14, 18, 16, 122, 22, 19, 12
Answer:
18
Step-by-step explanation:
The order from least to greatest is 12,14,16,18,19,22,122.
The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.
if cos =5\13 and 90°≤ø≤180,evaluate cotø,secø,cosø
Answer: [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]
Step-by-step explanation:
90° ≤ θ ≤ 180° means that it is in Quadrant II → x is + , y is -
[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]
Bryan owns a pet store. He puts one parrot in per cage, he has one parrot extra. If he puts two parrots per cage, he has a cage extra. How many parrots and cages does he have?
Answer:
4 parrots
3 cages
Step-by-step explanation:
Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):
[tex]P=C+1\\C-1=\frac{P}{2}[/tex]
Solving the linear system:
[tex]P-1-1=\frac{P}{2}\\0.5P = 2\\P=4\\C=P-1=4-1=3[/tex]
Bryan has 4 parrots and 3 cages.
The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the parallel lines and transversal. Sorry! Would appreciate if you give the answer by Tuesday! Thanks
Answer:
At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.
At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.
Step-by-step explanation:
Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.
We know that the sum of interior angles equals 180°.
So, a + b = 180°
a + 14a = 180°
15a = 180°
a = 180/15
a = 12°
At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°
The angle vertically opposite to a is d = a = 12°
The angle vertically opposite to a is b = e = 168°
At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°
the angle vertically opposite to angle b is g = b = 168°
the angle vertically opposite to f is h = 12°
Given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:
m<1 = 12°
m<2 = 168°
m<3 = 168°
m<4 = 12°
m<5 = 12°
m<6 = 168°
m<7 = 168°
m<8 = 12°
Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.
Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.
Thus:
m<1 : m<6 = 1 : 14Recall:
Same-side interior angles are always supplementary. That is,
m<1 + m<6 = 180 degrees.
Let's apply ratio to find the measure of <1 and <6.
m<1 = ratio of <1 / sum of ratio x 180[tex]m \angle 1 = \frac{1}{1 + 14} \times 180\\\\m \angle 1 = \frac{1}{15} \times 180\\\\m \angle 1 = 12^{\circ}[/tex]
m<6 = ratio of <6 / sum of ratio x 180[tex]m \angle 6 = \frac{14}{1 + 14} \times 180\\\\m \angle 6 = \frac{14}{15} \times 180\\\\m \angle 6 = 168^{\circ}[/tex]
Since we know the measure of <1 and <6, we can find the measure of others as follows:
m<2 = m<6 = 168° (corresponding angles are congruent)m<3 = m<6 = 168° (alternate interior angles are congruent)m<4 = m<1 = 12° (vertical angles are congruent)m<5 = m<1 = 12° (corresponding angles are congruent)m<7 = m<6 = 168° (vertical angles are congruent)m<8 = m<4 = 12° (corresponding angles are congruent)In conclusion, given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:
m<1 = 12°
m<2 = 168°
m<3 = 168°
m<4 = 12°
m<5 = 12°
m<6 = 168°
m<7 = 168°
m<8 = 12°
Learn more here:
https://brainly.com/question/15937977
Fully Factorise 5p^2 + 13p
Answer:
The answer is p(5p+13).
Step-by-step explanation:
You have to take out the common factors :
[tex]5 {p}^{2} + 13p[/tex]
[tex] = p(5p + 13)[/tex]
Therefore, the factorisation stop here. As 5 and 13 are not common to each other.
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thnk me...
7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
hour.
a) Find the distance between the two towns. (2 marks)
b) If her average speed was increased by 2 kilometers per hour, how much time would she take
for the journey? (2 marks)
Answer:
a.) 20 kilometers
b.)1.67 hours
Step-by-step explanation:
a.) formula= speed =distance/time
Speed= 10km/hr
Distance=unknown
Time=2hrs
Therefore from formula, distance=speed x time
10 x 2
20 kilometers
b.) If average speed is increased by 2km/hr then
total speed= 2+10=12km/hr
Distance remains constant therefore distance= 20km
Therefore time =distance/speed
20/12
= 1.67 hours
I WILL MARK YOU BRAINLIEST!!!!
Answer:
0; one real roots
* the answer is C
Solve for x in the diagram below.
3x
75°
T =
Answer:
x=35
Step-by-step explanation:
The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.
3x+75=180
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.
3x+75-75=180-75
3x=180-75
3x=105
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=105/3
x=105/3
x=35
x is equal to 35.
After reading 7/9 of a book , 40 pages are left .How many pages are there in the book
Answer:
180 pages
Step-by-step explanation:
Answer: 180 pages
Step-by-step explanation:
Let the equation be
x - 7/9x = 40
9x - 7x = 360
x = 360 / 2 = 180
The book has total 180 pages
Means he has read (180 - 40) = 140 pages
HELP FAST ILL GIVE A DECENT AMOUNT OF POINTS! A cylindrical water tank with an open top has a volume of 3818m3 and a radius of 9 m. Calculate the height of the tank. Round your answer to the nearest whole number.
Answer:15m
Step-by-step explanation:
The volume of a cylinder= πr^2h
Radius=9m
Volume=3818
Height=?
3818=22/7 x 9^2 x h
26726=22 x 81 xh
26726=1782h
H = 14.9
Height= 15m
If there is something that is not clear, let me know
Please help!
there were 6000 people at a football match
10% of them left 2 minutes before the end of the game to avoid traffic
50% of the rest left as soon as the match ended
a) how many people in total had left the football match when it ended?
b) what percentage of the original crowd was still there?
10%+50%=60%
60% of 6000=3600
a)3600 people had left the match when it ended
b)6000-3600=2400
40% of the crowd was still there
Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45
Answer:
30
Step-by-step explanation:
Sum of ages= 40
Let the sons age be x
Fathers age = 3 times x or ,3x
So 3x+x=40
4x= 40
x= 40/4
= 10
Therefore the fathers age = 3x
= 3*10
= 30
Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct? A. Yes, she is correct. B. No, a must be the shortest side, then b, and c is the longest side. C. No, c must be the shortest side, then b, and a is the longest side. D. No, a and b are interchangable, and c is the longest side.
Answer: D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
Either A and B which are the two legs can be greater than the hypotenuse which is C. They hypotenuse has to always be greater than the two legs and the two legs have the same lengths but it can't be greater than the hypotenuse.
For example let's say you have a right angle with side lengths 3,4 and 5.
5 in this case has to be always the hypotenuse.
A could be either 3 or 4 but not 5
And B could also be 3 or 4 but not 5
because A squared plus B squared is always equal to the hypotenuse which is 5.
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
Answer:
D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
What is the slope of the line that contains the points (-23, -16) and (13, -16)?
Answer:
Use the slope formula to find the slope . m = 0
Step-by-step explanation:
Ans:
3/2. your welcome
Step-by-step explanation:
What the answer to this
Answer:
(2 x + 5) (x - 1) (x + 7) thus the answer is D.)
Step-by-step explanation:
Factor the following:
2 x^3 + 17 x^2 + 16 x - 35
The possible rational roots of 2 x^3 + 17 x^2 + 16 x - 35 are x = ± 1/2, x = ± 5/2, x = ± 7/2, x = ± 35/2, x = ± 1, x = ± 5, x = ± 7, x = ± 35. Of these, x = -5/2, x = 1 and x = -7 are roots. This gives 2 x + 5, x - 1 and x + 7 as all factors:
Answer: (2 x + 5) (x - 1) (x + 7)
a plane flies 1640 miles in 4 hours. what is the average speed of the plane?
Answer:
Speed = 410 miles/hour
Step-by-step explanation:
Speed = Distance / Time
Distance = 1640 miles, Time = 4 hours
Speed = 1640/4
Speed = 410 miles/hour
URGENT!! Please help if you can!!
Does this represent a nonlinear function, liner function, or no function at all?
Answer:
Not a function.
Step-by-step explanation:
It is not a function since it does not pass the vertical line test.
Answer:
not a function
Step-by-step explanation:
you can test it out by sliding your pencil thru the graph and making sure
the function doesn't cross thru the pencil twice
Describe ways you could look at two shapes and tell that one is not the image of the other under a rigid transformation
Answer:
see below
Step-by-step explanation:
a rigid transformation preserves lengths and angles
if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation
if the corresponding angles are the same that works too
Which image shows -1 7/8 on a number line? A. B. C. D.
Answer:
The number line is attached below.
Step-by-step explanation:
The number to be plotted on the number line is:
[tex]x=-1\frac{7}{8}[/tex]
The value of x lies between -2 and 0.
Draw a number line from -2 to 0 with intervals at every one-eight value.
Mark the point at [tex]x=-1\frac{7}{8}[/tex].
The number line is attached below.