Note: Consider we need to find the possible number of ways to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Given:
Number of letters = 4
Number of letters selected without replacement = 2
To find:
The total possible number of ways.
Solution:
We have 4 letters A, B, C and D.
So, the number of ways to select first letter is 4.
After selecting a letter the number of remaining letters is 3.
So, the number of ways to select second letter is 3.
Now, the total number of ways to select 2 letters, without replacement, from the 4 letters A, B, C, and D is:
[tex]4\times 3=12[/tex]
Therefore, the required number of ways is 12.
The coordinates of the vertices of BEA are B(1,2), E(-5,3), and A(-6,-3). Prove that BEA is isosceles. State the coordinates of point R such that quadrilateral BEAR is a square. Prove that your quadrilateral BEAR is a square.
Answer:
Step-by-step explanation:
New Note 2
Given coordinates:
B(1,2)
E(-5,3)
A(-6,3)
Part A, isosceles triangle
Need to find lengths of sides
BE^2 = ((-5-1)^2+(3-2)^2) = 36+1 = 37
BA^2 = ((-6-1)^2+(-3-2)^2) = 49+25 = 74
EA^2 = ((-6-(-5))^2+(-3-3)^2) = 1+ 36 = 37
Since BE^2 = EA^2, BE=EA, or triangle BEA is isosceles, with vertex at E.
Part B, find point R so that BEAR is a sqare
Need to show that the vertex angle, BEA is a right angle.
BA is diagonal and E is 90° if
BE^2 + EA^2 = BA^2
or
37+37 = 74
Hence angle BEA is right anglesd, and the two legs are eaual with length sqrt(37)
To find point R, we find the translation from point E to point B, i.e. from the vertex to end of one of the legs.
EB = B - E = (1-(-5))-(2-3) = <6,-1>
To find point R, apply this translation to the end of the other leg, i.e. point A,
R=A(-6,-3) + <6,-1>=R(0,-4)
Check:
RE (diagonal)^2 = ((0-(-5))^2+(-4-3)^2) = 25+49 = 74 checks
RB^2 = ((0-1))^2+(-4-2)^2) = 1+36 = 37 checks
RA^2 = ((0--(-6))^2+(-4-(-3))^2) = 36+1 = 37 checks
Simplify for ez points!
Answer:A
Step-by-step explanation: divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4
Based on the pattern in the picture, how many squares do you think will be used to create the 5th figure? make a table.
Answer:
I think it is 7 squares.
Step-by-step explanation:
As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.
the difference between two positive Integers is 36 . the quotient, when one integer is divided by the other is 4 . find the two integers and solve explain
Answer:
They are both even numbers and they both go into eachother at least once
Step-by-step explanation:
helpppp!!!
Make a conjecture about the number of units produce in 50 hours
Solve for x algebraically x/4 ≤ 6
Answer:
x ≤ 24
Step-by-step explanation:
x/4 ≤ 6
Multiply each side by 4
x/4 *4 ≤ 6*4
x ≤ 24
Answer:
[tex]x\leq 24[/tex]
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
This is for math pls help I need this done
Answer:
its upside down turn it around
Step-by-step explanation:
what is law of sines
Answer:
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles
The Law of Sines (or Sine Rule) is very useful for solving triangles:
a/sin A=b/sin B=c/sin C
hope this helps
have a good day :)
Step-by-step explanation:
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!
Answer:
A. Yes, [tex]12\cdot 32> 360[/tex]
B. An underestimate could lead to you being stranded on a road trip in the middle of nowhere without guess. When it comes to these things, it's better to have more than necessary. After all, you'd rather have gas and not need it than need it and not have it.
Step-by-step explanation:
A. We can quickly calculate that 12 x 30 = 360. We need to travel 10 more miles to get to 370, but we have 2 miles per gallon and 12 gallons of gas, or 12 x 2 = 24 more miles! Upon further inspection it is evident that 12 x 32 = 360 + 24 = 384 which is indeed larger than 370.
B. Answer contains explanation.
Plssssss helpppp meeee
Answer:
The paperclip measures 7.5 centimeters.
Step-by-step explanation:
shelly is rolling a six-sided number cube and recording her results in a chart.
Which is BEST supported by the data in the chart?
A.When viewing the data for rolling a six, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.
B.When viewing the data for rolling a two, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.
C.When viewing the data for rolling a four, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.
D.When viewing the data for rolling a one, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.
***(NO LINKS AND ACTUALLY ANSWER)***
Answer:
A is your answer
Step-by-step explanation:
The answer that is BEST supported by the data in the chart is A. When viewing the data for rolling a six, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.
What is Probability?This refers to the likelihood of an event to occur when different independent and dependent variables are factored in.
Hence, from the given chart, we can see that it shows the results of Shelly after she rolls a six-sided number cube and the best answer that supports the data on the chart is that as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.
Read more about probability here:
https://brainly.com/question/24756209
#SPJ2
Rectangle A and Rectangle B are similar. Rectangle A has side lengths of 12 and 15. Rectangle B has a side length of 60. What are the possible values for the length of the other side of Rectangle B? Select all that apply.
24
30
48
75
Answer:
75
Step-by-step explanation:
since rectangle A with 12 moves to 60 meaning it was multiply by 5 so therefore we multiply the 15 by 5 giving 75
Find the following value
Answer:
∠ BCA = 45°, ∠ AWD = 90°
Step-by-step explanation:
All angles are right angles by definition.
Diagonals bisect the angles , so
∠ BCA = 45°
Diagonals are perpendicular bisectors of each other, so
∠ AWD = 90°
Maggie and jillian are both collecting postcards. Maggie has 4 times as many postcards as jillian. Maggie has 40 postcards.
How many postcards does jillian have?
Answer:
10
Step-by-step explanation:
braniyest pls
hey! i’ll give brainliest please help
Answer:
a mans car...
Step-by-step explanation:
a man's car breaks down while driving to work
because all the other ones are in their head
Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7
Answer:
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Step-by-step explanation:
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Solve the angle using trigonometry
Answer:
Step-by-step explanation:
Um angle T and R don't exist on this triangle. Only sides and Angles A B C.
But remember Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
S o/h C a/h T o/a
Question 4 (1 point)
What is the area of a circle whose circumference is 28TT? Use 3.14 as the value of IT.
A. 1230.88 Square Units
B.615.44 Square Units
C.307.72 Square Unit
D.2461.76 Square Units
Answer:
B
Step-by-step explanation:
[tex]Circumference=2\pi r=28\pi \\2r=28\\r=14\\Area= \pi r^2=\pi 14^2=3.14*14^2=615.44[/tex]
Simplify: -10m + 2m4 – 13m – 20m4
Answer:
-23m-18m^4
Step-by-step explanation:
-10m+2m^4-13m-20m^4
(-10m+-13m)+(2m^4-20m^4)
-23m+-18m^4
-23m-18m^4
If this helps please mark as brainliest
inez sells 24.8 acres of land for 22,568 what is the price per acre
Answer:
£910
Step-by-step explanation:
You have to divide the amount of acres by the overall price.
Hope this helped
PLEASE HELP ASAP ILL MAKE BRAINLIEST HURRY
The graph below shows the amount of money earned based on the number of hours spent tutoring.
Select all the true statements based on the graph.
A
Point C represents the total amount earned after tutoring for 4 hours.
B
The total amount earned is $6 after tutoring for 90 hours.
C
The total amount earned is $15 per hour.
D
The point (5,75) represents that $75 was earned after tutoring for 5 hours.
Answer: C and D
Step-by-step explanation:
Answer:
A and B are both credible on the graph.
Someone help me with 20 and 19 ASAP please and thank you!!
19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.
20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be
2 * 3^2 + 5
= 2* 9 + 5
=18 + 5
=23
PLEASE HELP. I NEED ASAP WILL GIVE BRAINLIEST. WORTH A LOT OF POINTS
Ronald was given the pair of equations shown below, which are in slope-intercept form (y = mx + b):
y = 3x − 2
y = 5x − 6
Part A: Ronald does not know how to solve the system of equations. Help him by writing the slope (m) and y-intercept (b) for each equation, and in your own words, explain how you can solve the pair of equations graphically.
Part B: Now that you have helped get Ronald started, solve the system and write the solution to the pair of equations in (x, y) format so Ronald can check his work and answer.
Step-by-step explanation:
y = mx +b
m - the slope; b- y-intercept
therefore;
y = 3x - 4
m = 6; b = -4
y = 5x - 3
m = 5; b = -3
The coordinates of the point where the lines are crossed are the solution to the system of linear equations.
How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)
y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)
***look at the img for graph reference***
Part B: x = 1; y = 2
Please help me!
Find the indicated sum for each sequence.
S9 of –9, 36, –144, 576, ...
Answer:
the answer is to multliply it by -4
Consider a triangle ABC like the one below. Suppose that =C109°, =a46, and =b36. (The figure is not drawn to scale.) Solve the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
take 109 degree as reference angle
using sin rule
sin 109=opposite/hypotenuse
0.94=c/36
c=0.94*36
c=33.84
c=33.8
Someone please help me thank you
Answer:
(3,0) and (7,8)
Step-by-step explanation:
I assume you are looking for the points at which the parabola and line cross. In that case, this is rather simple. You can look at it and see where on the graph the points are.
if y=4x what does m equal
Answer:
m equals 4
Step-by-step explanation:
m represents the slope of the line.
The line equation is y = mx + b, which means that m = 4 and b = 0
What is taxes? What is Texas' tax rate?
Expand and combine like terms.
(4b^2+ 3) (4b^2- 3) =
1
SEE ANSWER
Answer:
Step-by-step explanation:
(4b^2+3)(4b^2-3)
since it is the expanded form of formula a^2-b^2=(a+b)(a-b) we can write,
=(4b^2)^2-(3)^3
=16b^4-9
I need an Answer Immediately pls!!!!!!!!!
Answer:
2,033-993.50= 1039.50/74.25= 14
Step-by-step explanation:
not sure the exact equation but p would be 14 and you'd do something similar to that shown above