Answer:
see explanation
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{14\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
x [tex]\sqrt{3}[/tex] = 28[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 28
-----------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )
14[tex]\sqrt{3}[/tex] = y [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
y = 14
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which is a true statement about the diagram?
m∠5 + m∠6 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠1 + m∠2 = 180°
m∠2 + m∠3 = m∠5
Answer:
m∠1 + m∠2 = 180°
Step-by-step explanation:
An interior angle and its exterior angle are supplementary (they add up to 180°).
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Have a blessed day!
Answer:
c
Step-by-step explanation:
A circle has a radius of 6. An arc in this circle has a central angle of 48 degress. What is the length of the arc?
Answer: [tex]1.6\pi[/tex]
Step-by-step explanation:
If a circle has a radius of 6, then the perimeter of the circle is 12pi, or about 37.68. A circle has 360 degrees. Thus, the arc takes up 48/360 of the circle. Thus, simply multiply [tex]\frac{48}{360} * 12\pi[/tex] to get 5.024 or 1.6pi.
Hope it helps <3
Can someone please help I don’t know which one is it please help me
Answer:
m= - 3
b= 3
Step-by-step explanation:
Consider the function. Which statement correctly describes the function’s behavior around its vertical asymptote?
A) As x → –2–, f(x) → ∞ and as x → –2+, f(x) → ∞.
B) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.
C) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → –∞.
D) As x → –2–, f(x) → ∞ and as x → –2+, f(x) → –∞.
Answer:
B) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.
Step-by-step explanation:
2020 edg.
A function assigns the values. The correct option is B.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The statement that correctly describes the function's behavior around its vertical asymptote is As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞. Thus, the correct option is B.
Learn more about Function:
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13. Gayle is getting ready for her first day of school. She has 7 new dresses to choose from and 4
new pairs of shoes. How many different outcomes are possible for Gayle to wear one dress and
one pair of shoes?
Answer:
49
Step-by-step explanation:
7 times 4 equals 49.
I NEED HELP PLEASE HURRY, THANKS! :)
Answer:
B
using SOHCAHTOA
COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3
Answer:
B.
Step-by-step explanation:
First, note that since [tex]sin(\theta)=2/3[/tex], this means that the opposite side is 2, the hypotenuse is 3, and the last, adjacent side is [tex]\sqrt{5\\[/tex].
Also note that we are told that [tex]sec(\theta)<0[/tex]. This means that [tex]\theta[/tex] cannot be in quadrants 1 nor 4 because (remember All Students Take Calculus?) in those quadrants cosine and secant are positive. Also, we know that sine is positive so we can conclude that [tex]\theta[/tex] is in the second quadrant.
In the second quadrant, sine is positive, cosine is negative, and tangent is negative. Now we can answer the question. We already know the side lengths: opposite=2, adjacent=[tex]-\sqrt{5}[/tex] (because it's in Quadrant II), and hypotenuse=3.
Therefore...
[tex]cos(\theta)=-\sqrt{5} /3[/tex]
[tex]tan(\theta)=2/(-\sqrt{5})=-(2\sqrt{5}/5)[/tex]
What is X^2-9=0 I really need the answers
Answer:
X^2-9=0 is x2 = 9
Step-by-step explanation:
PLEASE HELP!!
LeBron buys 500 shares of Tiger Corporation for $10 a share. The corporation’s president is caught committing fraud and the stock drops to $3 a share. LeBron sells all his shares. How much can he take off his income as a capital loss this year?
Answer:
$3500 he can take off his income as a capital loss this year.
Step-by-step explanation:
Capital loss:
1. It is the loss realized when any investment's value gets decreased.
2. quantitatively it is the difference of price at which the invest is bought and price at which the investment is sold.
3. The condition for capital loss is that , selling price of investment should be less that buying price of same investment.
_________________________________________
Given
No. of shares bought = 500
cost of 1 share = $10
cost of 500 share = 500 *$10 = $5000
Thus, buying price of invest = $5000
Now price of share drops to $3 per share
thus total price of share now = 500*$3 = $1500
Thus, he sold his investment at $1500
capital loss incurred by him = $5000 - $1500 = $3500 (Answer)
Answer:
$3,000
Step-by-step explanation:
When you do the math your total comes out to $3500, but the most money that you are allowed to take of your income as a capital loss is $3000 so the answer is $3000.
Question 3(Multiple Choice Worth 3 points)
(6.03)
What is the coefficient of the variable in the expression 2 - 5x - 4 + 8?
1. -5
2. O-4
3. 02
4. 08
Answer:
-5
Step-by-step explanation:
The coefficient is the number that goes in front of the variable
The only variable is x and the number in front is -5
The coefficient is -5
Answer:
-5 i did the test
Step-by-step explanation:
A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k. solution
Answer:
the value of k is 7
Al aplicar el teorema de Pitágoras en alguno de los triángulos que aparecen en la figura, solo un planteamiento es el correcto, ¿cuál es?
Seleccione una:
a. h2 + b2 = c2
b. c2 + b2 = a2
c. Ningún planteamiento es correcto
d. a2 + m2 = b2
Question:
Found a picture which relates to the question asked. It can be found in the attachment below.
Answer:
b. c2 + b2 = a2
Step-by-step explanation:
According to Pythagoras rule :
The longest side of the triangle is the hypotenus
The opposite and adjacent sides depends on the particular angle provided or one which is to be calculated.
The opposite side is one drawn across a given angle, while the side next to the Given angle is called the adjacent side.
FROM △ABC ;
THE longest side is 'a' = hypotenus
Opposite side = c
Adjacent = b
From Pythagoras :
(Hypotenus)^2 = (Opposite)^2 + (adjacent)^2
Hence,
a^2 = c^2 + b^2
translate into an algebraic expression: b is decreased by 40% and decreased again by 40% . What is the result ?
Answer:
The result is 0.36b
Step-by-step explanation:
Here. we want to translate the wordings into an expression of algebra.
Firstly, we decrease b by 40%
40% is same as 40/100 = 0.4
So decreasing b by 40% = b-0.4(b) = b-0.4b = 0.6b
Now we want to decrease 0.6b by another 40%
= 0.6b -0.4(0.6b)
= 0.6b - 0.24b
= 0.36b
Find the solution to the problem and show your steps. -7x+9=3x+49
Answer:
x=-4 is the answer
Step-by-step explanation:
-7x+9=3x+49
Subtracting 3x on both sides
-7x-3x+9=49
Subtracting 9 on both sides
-10x=49-9
-10x=40
x=-4
I hope this will help you :)
A rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of One-fifth to be placed near a door. What is the area of the reduced rug, in square feet? 5 25 50 100
Answer:
5 Feet-
Step-by-step explanation:
I did the test-
Find the degree of the polynomial: [tex]2x^{2} y-4x^{5} +6xy^{3}[/tex]
Answer:
5Explanation:
sum of the power of 2x^2y=2+1=3
sum of the power of 4x^5=5
sum of the power of 6xy^3=1+3=4
Highest power=5
Therefore, The degree of given polynomial is 5.
Hope this helps...
Good luck on your assignment..
Simplify the polynomial (3a^2+4a+25) - (2a^2+4a-5)
Answer:
The polynomial simplified would be a^2 + 30
I hope this helps you:))
P.S. Might I recommend a good online calculator for these types of problems. It's called Symbolab. I use it every day and it's a lifesaver. It shows the step-by-step and has a plethora of different actions like simplifying, inverse, and line.
What are the x-intercepts of y=2x^2+6x-20?
Answer:
the x-intercepts are -5 and 2
Step-by-step explanation:
[tex]y=2x^2+6x-20[/tex]
x-intercept is when y is set equal to zero
So, y = 0
[tex]0 = 2x^2+6x-20[/tex]
[tex]2x^3+6x-20 = 0\\Taking \ 2 \ common\\2(x^2+3x-10) = 0\\Dividing \ both \ sides \ by \ 2\\x^2+3x-10 = 0\\Using \ mid\ term \ break \ formula\\x^2+5x-2x-10 = 0\\x(x+5)-2(x+5)=0\\Taking \ (x+5) \ common\\(x+5)(x-2) = 0[/tex]
Either,
x+5 = 0 OR x-2 = 0
x = -5 OR x = 2
So, the x-intercepts are -5 and 2
Answer:
The x-intercepts would be (2, 0) and (-5, 0).
Step-by-step explanation:
To find the x-intercepts, substitute in 0 for y and solve for x.
0 = 2x^2 + 6x - 20.
Solve the equation.
x = 2, -5.
There are 1,000 cubic centimeters in 1 liter, 1,000 cubic millimeters in 1 milliliter, and 1,000 milliliters in 1 liter. How many cubic millimeters are there in 200 cubic centimeters?
Answer:
200,000 cubic milliliters
Step-by-step explanation:
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If ! is an operation such that
a!b= 2b + 2a/3b, what does
9!3 equal?
Answer:
8
Step-by-step explanation:
Following the operation given with a = 9 and b = 3, then
9!3
= (2 × 3) + [tex]\frac{2(9)}{3(3)}[/tex]
= 6 + [tex]\frac{18}{9}[/tex]
= 6 + 2
= 8
How many coordinates can you find along this function? When graphed F(x)=mx+b when m=2 and b=1.
Answer:
assuming the graph is a 10 by 10 there would be 10 diffrent whole number coordinates.
What is the midpoint
of AB?
A has coordinatt 6
B has coordinate -10
Answer:
-2
Step-by-step explanation:
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Answer:
Third choice is correct
Step-by-step explanation:
-2x-y=-2
-y=2x-2
y=-2x+2
3x-y=-2
-y=-3x-2
y=3x+2
These two lines intersect at (0, 2)
There are ten meerkats in a colony. Every night, two meerkats stand guard while the others sleep. During a certain period of nights, every meerkat stands guard with every other meerkat exactly once. During that period, how many nights of sleep does each meerkat get?
Answer:
Each gets 36 nights of sleep every 45 nights.
Step-by-step explanation:
This is called the handshake problem, which is the same problem as n guests (including host) attend a party. At the end, everyone shakes hands with everyone else. The number of handshakes is each person shakes hands with (n-1) other persons to give n(n-1) handshakes. However, this counts each handshake twice (A with B and B with A), so the actual number of handshakes is n(n-1)/2
For n=10, then number of "teams" of two meerkats is 10(10-1)/2 = 45.
So each meerkat gets to be on duty 9 nights out of 45, or gets 36 nights of sleep every 45 nights.
help!!!! What is the area of the triangle?
Answer:
Option 4 ) Area = 24 cm²
Step-by-step explanation:
Area of Triangle = [tex]\frac{1}{2} Base * Height[/tex]
Where Base = 8 cm, Height = 6 cm
Area = [tex]\frac{1}{2} (8*6)[/tex]
Area = 48 / 2
Area = 24 cm²
Answer:
Sorry if i was incorrect that time but this time i'll tell u the correct answer
Let the length of 3rd side of triangle be x
X>(8-6) and x < (8+6) cms
Or 2cms <x<
14 cms Answer
Which of the following best describes how muckrakers brought about reform in the Progressive Era?
Muckrakers presented Americans with facts about corruption in government and industry and encouraged them to investigate further.
Muckrakers presented Americans with facts about corruption in industry and government that prompted them to demand change.
Muckrakers presented government officials with different ways to reform existing legislation.
Muckrakers presented government officials with facts about different industries and demanded change.
Answer:
B
Step-by-step explanation:
Both A and B are similar but the difference is that muckrakers did not present facts to encourage more investigation, they presented facts to make a change. There are many examples but one major one is Upton Sinclair and his book "The Jungle". It exposed the meat industry and how corrupted it was. This led to many changes such as new food safety laws.
Answer:
B edg
Step-by-step explanation:
Which of the following explains why cos 60º = sin 30° using the unit circle?
I got 7. check my answer please :)
Answer:
7
Step-by-step explanation:
We look at where the two circles for Russian and Chinese overlap
The numbers in that area are 2 and 5
2+5 = 7
Answer:
Your answer is correct.
Step-by-step explanation:
5 speak Chinese and Russian, but 2 speak all languages
So add 5+2 to get 7.
So your answer is correct.
simplify (2) - (x2-x3+2x-1)
Answer:
-x + 3
Step-by-step explains:
Um... You can do it on a computer...
Translate into an algebraic expression 40 increased by x%
Answer:
x+2/5x
Step-by-step explanation:
x%of 40 is 2/5x
...40 increased by x% of it self = x+2/5x
set these 2 distances to equal each other