Step-by-step explanation:
(1-4, 3-(-7))
=(-3,10)
prove that:
please do it fast
Answer:
Step-by-step explanation:
[tex]A+B=\theta\\B=\theta-A\\sin B=sin (\theta-A)\\sin A=\lambda[sin \theta cos A-cos \theta sin A]\\sin A[1+\lambda cos \theta]=cos A(\lambda sin \theta) \\\frac{sin A}{cosA} =\frac{\lambda sin \theta}{1+ \lambda cos \theta} \\[/tex]
[tex]tan A=\frac{\lambda sin \theta }{1+ \lambda cos \theta }[/tex]
Is 364 a prime or a composite number?
Answer:
364 is an even composite number.
Step-by-step explanation:
It is composed of three distinct prime numbers multiplied together.
in your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you were getting dressed, and you can’t see the color of the socks. How many socks must you pick to absolutely guarantee that you have a pair of blue socks to wear?
A.) 14
B.) 24
C.) 4
D.) 3
E.) 2
Answer:
A. 14
Step-by-step explanation:
The smallest number of socks to pull out to be assured that we get a blue pair of socks is 14. (Option A)
What is pigeonhole principle?If there are n objects to be putted into m containers such that n > m, then at least one container will have two objects.
Suppose the worst is happening when you're pulling the socks out.
The total number of colors is 2.
Now the worst case is when the pair is not completed until we draw all the yellow color.
That will happen at 12 + 1 = 13 draws (pair needs 2 blue, and the worst will happen that in initial trials, the yellow socks are not letting the pair get completed, which means at max 1 blue sock and rest 12 socks are drawn, which will get at max 13 draws).
But now any more sock pulled will have to be falling into the blue color category we already have. (this is exactly the pigeonhole principle's use).
After 13 times, you will start getting blue socks.
Since you need a pair of blue socks, you need to pull out socks 1 more time.
So total 14 pulls were required if the conditions were like resisting us at maximum.
In most of the cases, we might not need those 14 pulls, but 14 pulls is the minimum number that will assure you that the socks pulled have a blue pair of socks.
If the conditions are not worst, we would be lucky and that
Thus, the smallest number of socks to pull out to be assured that we get a blue pair of socks is 14. (Option A is correct).
Learn more about pigeonhole principle and socks pulling here:
https://brainly.com/question/8505936
Please help fast!
Round to the underlined place value position: 15.451 The underlined number is 4
Answer:
5 or above round up 4 or below round down
15.5
The numbers after the rounded digit becomes zeroes
Hope this helps
Step-by-step explanation:
Answer:
15.5 hope this helps
:)
Step-by-step explanation:
The equation –3y = 15 – 4x rewritten in slope-intercept form is
Answer:
4/3x -5
Step-by-step explanation:
A 130 cm3
B 175 cm 3
C 200 cm3
D 123 cm 3
Answer:
B-175cm 3
Step-by-step explanation:
L × W × H
7 × 5 × 5
The 7 comes from the area of the top rectangle which is 35 = 7×5.
Calculate the 4th angle of a quadrilateral if the other sides are 56, 115 and 120.
Answer:
69°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Subtract the sum of the given angles from 360, that is
4 th angle = 360° - (56 + 115 + 120)° = 360° - 291° = 69°
As an estimation we are told £3 is €4.
Convert £10.70 to euros.
Give your answer rounded to 2 DP.
Answer:
From the estimation,
£10.7 = €14.27
Step-by-step explanation:
Given the conversion rate between the pounds and the euro currencies, we are to convert an amount in pounds to euros
From the estimate;
3 pounds = 4 euros
Thus;
10.7 pounds = x euros
We are using x since the value in euros is not known presently.
To move from here, we simply cross multiply.
That would give;
3 * x = 4 * 10.7
3x = 42.8
x = 42.8/3
x = 14.2666
x = €14.27
Please help with this probability question im not sure on my answer
Answer:
.278
Step-by-step explanation:
There are 9 coins
P (nickel) = number of nickels/ total
= 5/9
Keeping the coin
We now have 8 coins, 4 nickels and 4 dimes
P (nickel) = number of nickels/ total
= 4/8 = 1/2
P(nickel, keep, nickel) = 5/9* 1/2 = 5/18=.2777777777
radius symbol in mathematics
Answer:
its just 'r'
Step-by-step explanation:
hope this helps
Answer:
Radius symbol in mathematics =r
Step-by-step explanation:
Other symbols are
π Pi
d Diameter
C Circumference
Which of the following best describes the use of the formula S = (n-2)180°,
where n is the number of sides?
Answer:
C. It is used to find the sum of interior angles
Also , it can be used to find the number of triangles in the polygon,
Step-by-step explanation:
Example :
Find the sum of interior angles whose no of sides is 6 and give the name of the polygon
Solution
S = (n-2)180°
S = (6-2)180°
S = (4)180°
S = 720°
The polygon is a Hexagon
I hope it helps :)
S = (n – 2)180° is used to calculate the sum of interior angles of the polygon. Then the correct option is A.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The sum of the interior angle of the polygon is given as,
S = (n – 1)180°
Where, n be the number of the sides.
Then the correct option is A.
More about the polygon link is given below.
https://brainly.com/question/17756657
#SPJ2
what is the slope of the line ?
Answer:
-3/4
Step-by-step explanation:
To find the slope of a line, you need to see how much it "rises" over a certain amount of "run". In other words, for a given amount of distance traveled along the x axis, how much it traveled vertically along the y axis. In this line, for every 4 units moved to the right, the line goes up by -3 units. Therefore, the slope of the line is -3/4. Hope this helps!
Answer:
m = -4/5
Step-by-step explanation:
Slope is the difference in y-values/difference in x-values.
Since the graph goes 4 units down and 5 units right, the slope is -4/5.
Please help I don’t know how to find angels
Answer:
PLEASE GIVE BRAINLIEST AND THANKS
50
Step-by-step explanation:
angles on a straight line add up to 180 degrees
Answer:
50
Step-by-step explanation:
Take
65 x 2 = 130
180 - 130 (because of the angle of the base) = 50 degrees
so angle C is 50 degrees
Which equation can be used to find the volume of this solid?
4 cm
5 cm
TTT
3 cm)
O V-3x5x4
O V-3+5+4
O V=5x4
OV=3x5
Answer:
V = 3×5×4 cm^3
Step-by-step explanation:
The solid used in the question is assumed to be a rectangular box.
The volume of a rectangular box is;
Volume = length × Breadth × height
Given the dimensions of the box as;
4cm by 5cm by 3cm.
The volume V of the box can then be written as the product of the dimensions;
V = 3cm × 5cm × 4cm
V = 3×5×4 cm^3
Answer:a
Step-by-step explanation:
Mr. Ray wanted to measure the height of a light post. He placed a mirror on the ground 32 feet from the light post, then walked backwards until he was able to see the top of the light post. His eyes were 6 feet above the ground and he was 9 feet from the mirror. Using similar triangles, find the height of the light post to the nearest tenth of a foot.
Answer:
Option (2) is the answer.
Step-by-step explanation:
From the figure attached,
AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.
Here AB = d = 6 feet
CD = w = 32 feet
BC = f = 9 feet
Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.
[tex]\frac{AB}{DE}=\frac{BC}{CD}[/tex]
[tex]\frac{6}{h}=\frac{9}{32}[/tex]
h = [tex]\frac{6\times 32}{9}[/tex]
h = 21.33 feet
h ≈ 21.3 feet
Therefore, height of the light post is 21.3 feet.
Option (2) is the answer.
Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 or more minutes.
Answer:
Step-by-step explanation:
can someone plz help me plz plz
Answer:
2
Step-by-step explanation:
The slope of the line is basically the gradient so I used the formula
(y2-y1) / (x2 - x1) which gives (-5-1) / (3-0) = 2
reciprocal of -2/3^6
Answer:
PLEASE GIVE BRAINLIEST AND THANKS
-0.00068587105
Step-by-step explanation:
An attendant recorded the data in the table showing the types and colors of vehicles that parked in a parking lot. (Refer to the table in the image attached.) 1. What is the experimental probability that the next vehicle in the lot is a red car?
Answer:
There are 22% of chances that the next vehicle in the lot is a red car.Step-by-step explanation:
The event is a red car vehicle. So, the experimental probability would be the ratio between the total number of red car vehicles and the total number of cars.
Notice that there are 22 red vehicles in total, and there are 100 cars in total. So, the ratio is
[tex]P=\frac{22}{100} = \frac{11}{50} = 0.22[/tex]
Therefore, there are 22% of chances that the next vehicle in the lot is a red car.
The circle passes through the point (3,6). What is it’s radius?
Answer:
c. 5
Step-by-step explanation:
In the attached image we can calculate the radius in a very simple way, if we focus on the axis of the "y" we have that there is a distance that would be the diameter of the circle and goes from -2 to 8.
Between -2 and 8, there is a quantity of 10 units, since:
8 + 2 = 10
they are added because we want to know the total distance, therefore the diameter is 10, and we know that the radius is half the diameter, so:
r = d / 2
r = 10/2
r = 5
therefore the radius is 5 units, that is, the answer is c. 5
you take 6 steps forward and 8 steps backwards how many steps have you taken?
It’s a subtracting integer question.
So would it be 6-(-8)?
Answer:
I think it would be simply 6-8
Step-by-step explanation:
becuase 6-(-8) is really 6+8, which isn't correct. It could also be 6-(8), but I'm not sure.
Help me I need this asap
Answer:
1) I think its helps to rename a function as tenths or hundredths when you want to write the decimal equivalent because for example if you wanted to rename this function 6/25 to 24/100 you can know were you put it in decimal (0.24).
2) It was a good idea to change 4/16 to 1/4 to determine a decimal equivalent because it would be easier to put 1/4 in a decimal equivalent.
3) You write the decimal 0.12 as 3/25
4) I dont know...sorry that I cant help with this...I dont know the answer to this question
Step-by-step explanation:
Can someone PLEASE help me!! I'm doing a test and I'm really stuck of this question! Each of the small squares in the figure below measures 2 meters on each side.
What is the area of the triangle?
Answer:
40 meters²
Step-by-step explanation:
Formula for the area of a triangle is [tex]\frac{1}{2} *b*h[/tex]
[tex]\frac{1}{2} *10*8=\\5*8=\\40[/tex]
The area of the triangle is 40 m²
PLEASE HELP ME WITH THIS QUESTION what is -48-(-12)
Answer:
-36
Step-by-step explanation:
-48+12=-36
Answer: -36
Step-by-step explanation: −48−(−12)
=−48−(−12)
=−48+12
=−36
Write the following series in summation notation. 1, 4, 9, 16, 25, 36
Answer:
[tex]\sum_{k=0}^{n}2k+1[/tex]
Step-by-step explanation:
Let's take a look at how much is added from one term to the next and see if we can recognize a pattern!
1 to 4: +34 to 9: +59 to 16: +716 to 25: +925 to 36: +11If we start by listing the first number in sequence, 1, we get the familiar list:
1, 3, 5, 7, 9, 11
Of course, this is simply the list of the first six odd numbers. To get the first term, we add the first 1 odd number, to get the second, we add first 2 (1 +3), to get the third, we add the first 3 (1 + 3 + 5), and so on. How do we shorten these sums so we're not writing out dozens of terms as the sequence goes on?
Sigma notation: Summing things upFor situations where we're adding up a lot of numbers that follow a predictable pattern, mathematicians came up with something called summation notation, or sigma notation, coming from the Greek S, Σ, short for "sum". Here's a simple example of a sum expressed in sigma notation:
[tex]\sum_{n=1}^{4}n=1+2+3+4[/tex]
Let's break this down. n acts as our counter. [tex]\sum_{n=1}[/tex] sets it to start counting at 1, and tells us to stop counting at n = 4. The [tex]\sum n[/tex] bit tells us what pattern we'll be following, in this case, each step of the way we'll be adding the value of the counter.
In summationSo how do we express the sum 1 + 3 + 5 + ... in sigma notation? First, we need an expression that describes the pattern algebraically. Ever odd number is 1 away from an even number, so we can either describe our list with the expression [tex]2k+1[/tex] (if we start at k = 0), or [tex]2k-1[/tex] (if we start at k = 1). I'll choose [tex]2k+1[/tex] for this problem.
We want to start counting at k = 0 , and we can choose whatever we want for our stopping point. Let's call that stopping point n, for the nth term in the series. In sigma notation, we can now write this series in the form
[tex]\sum_{k=0}^{n}2k+1[/tex]
Let's test it out for the first few values to see if it works!
n = 0: [2(0) + 1] = 1n = 1: [2{0) + 1] + [2(1)+1] = 1 + 3 = 4n = 2: [2{0) + 1] + [2(1) + 1] + [2(2) + 1] = 1 + 3 + 5 = 9Checks out!
To write the series in summation notation, we have to identify a pattern. After we identify the pattern, we get that the notation is:
[tex]S = \sum_{n = 1}^{\infty} n^2[/tex]
Terms:
The first term is 1, which is also the square of 1, as [tex]1^1 = 1[/tex]The second term is 4, which is also the square of 2, as [tex]2^2 = 2[/tex]The third term is 9, which is also the square of 3, as [tex]3^2 = 9[/tex]The fourth term is 16, which is also the square of 4, as [tex]4^2 = 16[/tex]The fifth term is 25, which is also the square of 5, as [tex]5^2 = 25[/tex]The sixth term is 36, which is also the square of 6, as [tex]6^2 = 36[/tex]From this, we can get a pattern that each term is the square of the index, and the notation is:
[tex]S = \sum_{n = 1}^{\infty} n^2[/tex]
A similar question is found at: https://brainly.com/question/16543477
Which unit price is the highest?
turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
O celery for $1.48 per pound
Answer: peppers
Step-by-step explanation:
Peppers cost the greatest amount per pound
$1.62 (peppers) > $1.51 (turnips) > $1.48 (celery) > $1.26 (carrots)
Answer:
pepper for 1.62 per pound
please help me quickly !!
Answer:
A.
Jada should have multiplied both sides of the equation by 108.
Step-by-step explanation:
-4/9=x/108
you must multiply both sides
108*-4/9 = x*108
=-9/4
9) v - 15 = -27 10) n + 16 = 9
Answer:
9) v= -12
10) n= -7
Step-by-step explanation:
9) v - 15 = -27
Add 15 from both sides
i.e. v - 15 + 15 = -27 + 15
v = -12
10) n + 16 = 9
Subtract 16 from both sides
i.e. n + 16 - 16 = 9 - 16
n = -7
Hope this helps!!!
What is the probability of landing on a green section using
the spinner shown below and choosing a red playing card
from the player's hand pictured?
Answer:
s
Step-by-step explanation:
s
The table shows the number of animals, by type, at a petting zoo.
Animal Number
Goats 5
Sheep 3
Cows 2
Rabbits 6
Select the true statements about the information in the table.
Choose all answers that apply:
(Choice A)
The ratio of cows to all animals is 1:16
(Choice B)
For every 3 rabbits there are 8 total animals.
(Choice C)
None of the above