Answers
Answer:
true
Step-by-step explanation:
sinA² + cosA²=1
⇔(1/2)² + cosA²=1
⇔cosA=±(√3/2)
Yes, the triangle is a right triangle.
What is a right triangle?A triangle is called a right triangle if it has an angle measuring 90°.
Given that in a triangle if Sin A = 1/2 and Cos A = √3/2, then the triangle is a right triangle,
So,
Sin A = 1/2
Sin A = Sin 60°
A = 60°
Also, we know that the sine and cosine of an angle is complementary,
So,
Sin A = Cos (90-A)
Therefore, Cos(90-30)° = Cos 30° = √3/2
Therefore, ABC is a right triangle.
Hence the triangle is a right triangle.
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Related Questions
More trig ratios see attachment
Answers
Answer:
TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15
Step-by-step explanation:
Tan = opposite/adjacent, so 9/12
WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15
Tan again, is opposite/adjacent, so 12/9
Cos is adjacent/hypotenuse, so 12/15
Hopefully this helps! Let me know if you have any questions
Michael has $12.50 to buy school supplies. He spends $3.49 at one store for a package of glue sticks, but he still needs to buy for pens and a notebook. At the next store, he finds pens for $1.49 each. What is the most he can spend on a notebook if he buys the 3 pens? PLEASE HELP!
Answers
Answer: $ 4.54
Step-by-step explanation:
Determine an equation for the pictured graph. Write your answer in factored form.
Remember to start with f(x) = a (x – ri)(x - 52)...
8
7
2
y =
Answers
An equation for the pictured graph and the equation for the pictured graph in factored form is: y = rs - r - s + 1.
Let's assume the equation for the graph in factored form is: y = a(x - r)(x - s), where 'a' is a constant and 'r' and 's' are the roots of the equation (x-intercepts of the graph). Since we are given that the graph passes through the points (0, -2) and (1, 0), we can use this information to find the values of 'r' and 's.'
Using the point (0, -2):
When x = 0, y = -2.
We can substitute these values into the equation:
-2 = a(0 - r)(0 - s)
Simplifying, we get: -2 = a(-r)(-s) or -2 = ars.
Using the point (1, 0):
When x = 1, y = 0.
Substituting these values into the equation:
0 = a(1 - r)(1 - s)
Simplifying, we get: 0 = a(1 - r)(1 - s).
Now, we have two equations:
-2 = ars (Equation 1)
0 = a(1 - r)(1 - s) (Equation 2)
From Equation 1, we can solve for 'a' in terms of r and s:
a = -2 / rs.
Now, substitute this value of 'a' into Equation 2:
0 = (-2 / rs)(1 - r)(1 - s).
To make further progress, we can divide both sides by -2:
0 = (1 / rs)(1 - r)(1 - s).
Next, to eliminate the fractions, multiply both sides by rs:
0 = (1 - r)(1 - s).
Finally, expand the right side of the equation:
0 = 1 - s - r + rs.
The equation for the pictured graph in factored form is:
y = rs - r - s + 1.
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Jacob has a bag of marbles that contains 12 red, 5 blue, 8 green.
What is the probability he will select a blue marble?
Answers
Answer:
1:5
Step-by-step explanation:
Answer:
Blue has the least amount of marbles
Step-by-step explanation:
Red has the most, green has 8, but still more than blue. Blue has the least, and the human mind is attracted to things out of the ordinary. It is likely that our friend Jacob will choose a blue marble!
find the value of given expression
[tex] \sqrt{645 \times 645} [/tex]
Answers
[tex]208012.5[/tex]
Step-by-step explanation:
[tex] \sqrt{645 \times 645} [/tex]
[tex] = \sqrt{416025} [/tex]
[tex] = 208012.5[/tex]
Answer:
√{645×645}=√645²=±645 is your answer
Please explain why the correct answer is correct :)
Answers
Answer: your anawer is D
Step-by-step explanation:
Scale factor 3/4 Coordinates A(1,12) B(1,6) C (0,9) Triangle DEF is a dilation of triangle ABC What's the coordinates of triangle DEF?
Answers
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor (k). If k > 1, then it is a enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
Triangle DEF is a dilation of triangle ABC by a factor of 3/4. Hence the coordinates of triangle DEF is:
D(3/4, 9), E(3/4, 9/2), F(3/4, 27/4)
I need help with this
Answers
Jake wants to find out what his customers think of his new recipe. which is the best group survey to find this information?
Answers
PLEASE HELP MEEE :((((((((
Given the polynomial 21x 4 + 3y - 6x 2 + 34
What polynomial must be subtracted from it to obtain 29x 2 - 7 ?
What polynomial must be added to it to obtain a first degree polynomial?
Answers
Answer:
I don't know
Step-by-step explanation:
ok k ggceyubvsxhik n
increase £196 by 9%
old old working out need asap
Answers
Answer:
£213.64
Step-by-step explanation:
You do 196(0.09)
That's 17.64
The you add the two
196+17.64
The way I got 9 was from 9%.
To make it in decimal form you have to move the decimal over two places.
Hope this helps
Point A and Point B are 5 units apart.
aments
The coordinates of Point A are (-1,2).
ndar
The x-coordinate for Point B is -1.
h
What are the possible coordinates for Point B?
Answers
Answer:
[tex]\boxed{\textsf{ The possible values of y is \textbf{ 3 or -3 }.}}[/tex]
Step-by-step explanation:
Here Point A and B are 5 units apart . The coordinates of A are (-1,2) and B is (-1,y) .We need to find the possible coordinates of y . So let's use Distance Formula :-
[tex]\rule{200}2[/tex]
★ Distance Formula :-
If we need to find the distance between two points say , [tex]\sf ( x_1,y_1 ) \:\:\:\: \& \:\:\:\: ( x_2,y_2) [/tex] , then we can find out the distance as ,
[tex]\boxed{\boxed{ \sf Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } }}[/tex]
[tex]\rule{200}2[/tex]
Put on the respective values ,
[tex]\sf\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } \\\\\sf\implies Distance = \sqrt{ (-1+1)^2+(2-y)^2}\\\\\sf\implies Distance =\sqrt{ (2-y)^2 } \\\\\sf\implies 5^2 = (2-y)^2 \\\\\sf\implies 5 = \pm (2-y) \\\\\sf\implies 5 = (2-y) \qquad or \qquad 5= -(2-y)\\\\\sf\implies y = 2-5 \qquad or \qquad y = 5-2 \\\\\sf\implies\boxed{\pink{\frak{ y = \pm 3 }}}[/tex]
Natalie earns $15 per hour. The store offers her a raise-a 4% increase per hour. After the raise, how much will Natalie make per hour?
Answers
Answer:
15,6
Step-by-step explanation:
15×104/100=15,6
She make 15,6$ per hour
(b) Beth multiplies a number by 3 and divides the answer by 10.
By what fraction has the number been reduced?
Answers
Answer:
hshshsjksbsbsnakakalaoaj you are my world
Find the discriminant of x2 – 5.2 + 2.
Answers
Answer:
Step-by-step explanation:
x² - 5.2x + 2
Discriminant = (-5.2)² - 4 ⋅ 1 ⋅ 2 = 19.04
If a cordinate set (x,y) has two different scale factors this is a valid transformation..
A-yes
B-no
C-maybe
Answers
WRITE THE EXPANDED FORM OF THE EXPRESSION
-5/8 (y+x) =
Answers
Answer:
-5/8x -5/8y
Step-by-step explanation:
Use the distributive property to expand
Use the distributive property of multiplication to find 6 x 32
Answers
Answer:
..................
Step-by-step explanation:
[tex]2(3 + 16) [/tex]
Mary Beth is making 36 flower bouquets. 5/6 of the bouquets are tulips and the rest are roses. How many bouquets are roses?
Answers
Answer:
6
if 5/6 are tulips, that mean 1/6 are roses. you can find 1/6 of 36 by dividing by 6. 36÷6=6
The exchange at a post office is £1 =€1.17
How many euros would you get for £280
Answers
Answer:
327.6 Euros
Step-by-step explanation:
The exchange rate is 1 = 1.17 so to find euros multiply the total pounds by 1.17
280 * 1.17 =
327.6
Telephone calls arrive at the Global Airline reservation office in Louisville according to a Poisson distribution with a mean of 2.2 calls per minute What is the probability of receiving at least 2 calls during a one-minute interval? What is the probability that at most 2 minutes elapse between 1 call and the next
Answers
Answer:
The answer is "0.6227 and 0.5971".
Step-by-step explanation:
[tex]\to p(x\leq 2)=p(0)+p(1)+p(2)[/tex]
[tex]=e^{-2.2}(1+2.2^{1}+\frac{2.2^2}{2!})\\\\=0.6227[/tex]
[tex]\to x \sim emp(\frac{1}{2.2})\\\\\to f(x)=\frac{1}{2.2} emp1-\frac{x}{2.2}[/tex]
[tex]\to p(x \leq 2)=\int^{2}_{0} \frac{1}{2.2} emp1(-\frac{x}{2.2}\ dx[/tex]
[tex]=1-emp1-2|2.2\\\\=0.5971[/tex]
Suppose the diameter of a circle is 16 units . What is its circumference
Answers
Answer:
The circumference is 50.27
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!!
I need help pleaseeeeeeeeeee
Answers
Answer:
man this pmo i cant get the answer lol
Step-by-step explanation:
A class of 30 children voted for their favorite actor who has played James Bond.
How many did not vote for George Lazenby?
Answers
Answer:
we know that the average number of
the class is 30 so we divide 1/10*30
equals 3 pupils
A recipe uses 12 cups of flour for every 3 cups of sugar. If you were to make a recipe using 8 cups of flour, how much sugar should you use?
Answers
Answer:
2 cups!
im sure bc 4c for one 1c of sugar.
Step-by-step explanation:
12x=24
x=2
2 cups of sugar
-14x=168
Solve for x. Show your work
Answers
Answer:
The value of x = -12
Step-by-step explanation:
Given:
Equation;
-14x=168
Find:
The value of x
Computation:
-14x = 168
Divided -14 from both side
-14x / 14 = 168 / 14
- x = 12
The value of x = -12
Enter the fraction as a decimal and a percent 3/5
Answers
Answer:
3/5 is 0.6 as a decimal and 60% as a percent.
Step-by-step explanation:
To fine the answer as a decimal, we just divide 3/5 and we get 0.6. To find 3/5 as a percent, we will take 0.6 and multiply it by 100, which is 60%.
Find the greatest common factor of 9n² and 6m⁴?
Answers
Each side of a square courtyard is 17 yards long. It costs $28.73 per yard to replace the brick wall around the courtyard. How much would it cost to replace the brick wall?
Answers
Answer
1953. 64
Step-by-step explanation:
Solve the system of linear equations by substitution.
Y=2x
x +y =-9
The solution of the system is
Answers
Answer:
point form : (-3,-6) equation form : x= -3 y= -6
Step-by-step explanation: