Answers
Answer:
[tex] \sqrt{3} \div 2[/tex]
Step-by-step explanation:
there are multiple ways to get to the result. and it took me a little while to figure out your symbolic. I am not sure about the context of your problem, so I try to give you 2 ways.
1. similar triangles.
they have the same angles, and therefore the change factor for their side lengths (to change from one similar triangle to the other) must be the same for all sides.
tan of an angle is the length of the outside tangent touching the circle starting at x=1,y=0 and going up perpendicular all the way until it crosses the line from the center of the circle enclosing the angle.
so, we have one triangle of the corners ABC, where A=(0,0), B=(1,0), C=(1,tan of the angle = sqrt(3)).
and we have a similar triangle ADE, where A=(0,0), D=(cos of the angle=1/2,0), E=(1/2,m).
we know because of the described similarity that the sides BC and DE must have the same ratio as e.g. AB and AD.
AB=1, AD=1/2, so the ratio AD/AB = 1/2.
now, BC=sqrt(3). DE=m and must follow the same ratio as AD/AB. DE/BC=1/2.
=> m/sqrt(3)=1/2 => m=sqrt(3)/2
2. circle equation : x^2 + y^2=r^2
x=1/2, y=m, r=1
(1/2)^2 + m^2 = 1^2 (= 1)
1/4 + m^2 = 1
m^2 = 3/4
m = sqrt(3)/sqrt(4) = sqrt(3)/2
Related Questions
Please help me I don't understand. If you explain it too it would really help.
Answers
Answer:
12 square feet
Step-by-step explanation:
To find the area of a triangle you have to multiply the base and height and divide it by two
6 * 4 = 24
24 / 2 = 12
Answer:
12sq.ft
Step-by-step explanation:
Area of∆=1/2x base x height
=1/2 x4 x6
=1/2 x 24
=12
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE DO
Pls i need help on these I HAVE BEEN STUCK
Answers
Answer:
C for Question 3
B for Question 4
find the volume of the figure below for A, B, C
Answers
Answer:
a is .... 50
b is .... 63
c is .... 24
Step-by-step explanation:
formula LxWxH
a.
5*2=10
10*5=50
b.
7*3=21
21*3=63
c.
4*3=12
12*2=24
I need an answer immediately!!!!!!!
Answers
Answer:
y = 3x - 8
Step-by-step explanation:
_______________
Select the correct answer Which equation matches the function shown in the graph A.y=sin(x+pi) B. y=sin(x+pi/2) C.y=sin(x-pi) D. y=(x-pi/2)
Answers
Answer:
y= sin(x+pi/2)
Step-by-step explanation:
I graphed all of the answers with a calculator and this equation was the only one that had points above the 2 pi on the x axis.
Answer:
Theyre right the correct answer is y = sin(x + pi/2)
Step-by-step explanation:
Took the test just confirming
Flo Rida currently has $5 to go to Mexico. He is selling his famous cupcakes for $25 a dozen to raise money.
Answers
Answer:
8 dozen
Step-by-step explanation:
There are 20 people in a room, If they all shake each other's hands once and only once, HOW MANY handshakes are there altogether?
Answers
PLEASE HELP ME I AM BEING TIMED, I WILL MARK THE BRAINLIEST TO WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS!
Answers
Answer:
a)9
Step-by-step explanation:
i dont know what b is sorry
Answer: (a) = The gcf of 63 and 36 is 9. (b) = 9 x (7 - 4)
Step-by-step explanation:
Help ASAP thank you!
Answers
…………….
he small ball inside the cubed display case has a volume of 8 cubic inches. If the free space inside the display case is 208 cubic inches, then how tall is the display case?
6 inches
8 inches
10 inches
9 inches
Answers
Answer:
6 inches
Step-by-step explanation:
Step 1
Find the volume of the display case
From the above question:
Volume of the small ball = 8 inches
Volume of the free space inside the display case = 208 cubic inches
Volume of the display case = Volume of small ball + Volume of free space
= 8 cubic inches + 208 cubic inches
= 216 cubic Inches
Step 2
How tall is the display case?
The display case is shaped like a square. Hence,
The length of the display case = cube root (Volume of the display case)
= cube root(216 cubic inches)
= 6 inches
Therefore, the length of the cubic display case = 6 inches
Answer:
If the free space inside the display case is 208 cubic inches, then the display case is 6inches tall.
Carlos bought 6.5 pounds of bananas for $5.20. What is the price per pound of the bananas that Carlos bought?
What quantity of bananas would one dollar buy?
Answers
Answer:
Quantity of banana purchase in $1 = 0.8 pound
Step-by-step explanation:
Given:
Cost of 6.5 pound of banana = $5.2
Find:
Price of one pound banana
Quantity of banana purchase in $1
Computation:
Price of one pound banana = 6.5 / 5.2
Price of one pound banana = $1.25
Cost of one pound banana is $1.25
Quantity of banana purchase in $1 = 1 pound / 1.25 dollar
Quantity of banana purchase in $1 = 0.8 pound
faktor sepunya terbesar bagi 24,36 dan 72
Answers
Answer:
Use a text book, so that you get the concept
Katarina tosses a thumbtack on the ground 20 times to see if it lands on its side or if it lands with the point
facing up (there are no other possible outcomes). Let S = the number of times it lands on its side.
Is S a binomial variable? Why or why not?
Answers
Answer:
This situation satisfies each of the conditions for a binomial variable, so
S
SS has a binomial distribution.
Step-by-step explanation:
True. Each trial has two outcomes (lands on side or doesn't), results of each trial are independent, there is a fixed number of trials (
20
2020), and the probability of success is the same for each trial.
(from Khan Academy)
Answer: This situation satisfies each of the conditions for a binomial variable, so S has a binomial distribution.
Step-by-step explanation:
Ravi borrows $950 from his parents with a simple interest rate of %5. If it takes him 2 years to pay back the money, how much interest will he owe?
Answers
Answer:
he will owe $1,047 in total and $97.37 in interest
round to the nearst tenth
Answers
Answer:
Step-by-step explanation:
A charter bus service charges a flat fee of $150, plus $3.50 per mile (one way distance) for a bus. If the band paid exactly $2050 for TWO buses, how far did the band travel?
Answers
Answer:
Number of miles= 250
Step-by-step explanation:
Giving the following information:
Fixed cost= $150
Unitary cost per mile= $3.5
Total cost= $2,050
First, we will establish the total cost formula for ONE bus:
Total cost= 150 + 3.5x
x= number of miles
For two buses:
Total cost= 150*2 + (3.5*2)x
Total cost= 300 + 7x
Replacing the total cost information:
2,050= 300 + 7x
1,750/7 = x
250 =
Number of miles= 250
the ratio of men to women working for a company is 4 to 7 if there are 231 employees total how many women work for the company.
Answers
Answer:
297
Step-by-step explanation:
Hello could someone answer this? Thank you!
Answers
Step-by-step explanation:
m arc AD = (2×108) - 142 = 216-142= 74°
m<A = 180-108= 72°
Yo fam I really need help with this. Its like parametric equations or smt and I really don't understand. Please include work, I'll give brainliest to any answer with work.
Answers
Which equation is represented by the graph below?
Answers
what is lm in the triangle at the right
Answers
There is no file attached it is blank can’t help you if I can’t see what i am suppose to be doing
which quadrilateral has diagonals that are congruent but do not bisect each other
Answers
Hope this helps!
I've had to repost this question like 4 times because ppl put fake answers, pls put the answer if u know it and dont lie
Answers
Answer:
189.05 ft^3
Step-by-step explanation:
I think this is the right answer but I'm not 100% sure.
So first, you need to find the area of the rectangular prism. 5*5=25, and there are 5 of these rectangles (4 sides and the bottom), so the total is 125 ft^3. I don't think you would include the area of the top, as the top is not flat, and has a pyramid on it.
To find the area of the pyramid, there is a somewhat complicated and long equation that I can't write here, but you can look up the formula for the area of a square pyramid.
The area of the pyramid is around 64.05 ft^3. 125+64.05=189.0500 rounded to the nearest hundredth is 189.05 ft^3.
Which statements are true about the following regular polygon? Check all that apply.
A polygon with 6 sides.
All of the interior angles are acute.
All of the interior angles are obtuse.
The sum of the interior angles is 720°.
The polygon can be divided into three triangles.
Each interior angle measures 120°.
The sum of two interior angles have the same measure as a straight angle.
Answers
Answer: B,C, and E 100% on edge 2021
Step-by-step explanation:
sorry for the delayed response xx. Goodluck everyone on your finals.
Dan used 942 units of electricity from July to October
The meter reading in July was 32 347 units.
a)
Work out the meter reading in October.
b)
Each unit costs 14p.
How much do 942 units cost?
Answers
Answer:
13,188
Step-by-step explanation:
14 × 942
That will give you 13,188
Answer:
a) 33289
b) £131.88
Step-by-step explanation:
→ To find the meter reading add the July reading to the units used
32347 + 942 = 33289
→ Multiply the unit price by the units used
0.14 × 942 = 131.88
Find the area of the figure and choose the appropriate result
Answers
Answer:
41.7
Step-by-step explanation:
A = 6*4 = 24
B = 3.5 * (3.8-2) = 6.3
C = 3*3.8 = 11.4
A + B + C = 41.7
John went shopping for a pair of jeans.
The whole store was 40% off. If the
jeans John picked out were originally
$70, how much would the jeans cost with
The discount?
Answers
Answer:
it should be 42 hope it helps
Step-by-step explanation:
Please help me asap!
Answers
Answer:
Let's analyze the example first:
We have:
3, 4, 6 target 42 answer: (3 + 4)*6
If we solve the equation, we get:
(3 + 4)*6 = 7*6 = 42
So, we need to reorder the first 3 numbers in an expression, such that the solution of the expression is the target number.
a) 2, 5, 6 Target 40
We know that 5*8 = 40
and that 2 + 6 = 8
Then the answer is:
(2 + 6)*5
b) 3, 4, 6 target 12
Here we know that 4*3 = 12
and 6 - 3 = 3
Then the answer is:
(6 - 3)*4
c) 4, 6, 10 target 1.
We know that the quotient of two equal numbers is 1.
And 4 + 6 = 10
Then the answer here is:
(4 + 6)/10
d) 3, 5, 6 target 21
We know that 3*5 = 15
And 15 + 6 = 21
Then the answer here is:
3*5 + 6
e) 2, 7, 10 target 6.
Here is a harder one.
We know that 2*3 = 6
And that 10 - 7 = 3
Then the answer ere is:
2*(10 - 7)
f) 3, 6, 15 target 3
Here we can use:
(15 - 6) = 9
And 9/3 = 3
Then the answer is:
(15 - 6)/3
Rewrite the expression as an exponent with a base of x: (x^6)^4
Answers
Answer:
it´s good
Step-by-step explanation:
?
2
Find the arc length of the partial circle.
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer
Answers
9514 1404 393
Answer:
3π units
Step-by-step explanation:
The full circumference of a circle with radius 2 is ...
C = 2πr
C = 2π(2) = 4π
The arc shown is 3/4 of the full circle circumference so is ...
3/4C = (3/4)(4π) = 3π . . . units