Answers
[tex] \huge\rightarrow\sin( θ ) = \frac{ - 2 \sqrt{5} }{5} [/tex]
To find↷cos(θ) in IV quadrantAnswer↷[tex] \huge\rightarrow\cos( θ ) = \frac{ \sqrt{5} }{5} [/tex]
Solution↷We know that,
sine is the ratio of adjacent side over the hypotenuse.
[tex] \rightarrow\sin( θ ) = \frac{ - 2 \sqrt{5} }{5} = \frac{adjacent \: side}{hypotenuse} \\ [/tex]
also,
cosine is the ratio of base over the hypotenuse.
[tex]\rightarrow\cos( θ ) = \frac{?}{5} \\ [/tex]
base = √(h²-a²)h= hypotenusea= adjacent side[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{ {5}^{2} - ( - 2\sqrt{ 5} {}^{} ) {}^{2} } }{5} \\ [/tex]
[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{ {5}^{2} - {(2\sqrt{ 5})}^{2} } }{5} \\ [/tex]
[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{25 - 20} }{5} \\ [/tex]
[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{5} }{5} \\ [/tex]
since ,cosine is always positive in the quadrant IV, option 3rd =√5/5 is correct ✓
Note:-
★theta to be used as A
[tex]\\ \rm\Rrightarrow sinA=\dfrac{-2\sqrt{5}}{5}[/tex]
Now
cosA=1-sin²A[tex]\\ \rm\Rrightarrow cosA=\sqrt{1-(dfrac{-2\sqrt{5}}{5})^2}[/tex]
[tex]\\ \rm\Rrightarrow cosA=\sqrt{1-\dfrac{20}{25}}[/tex]
[tex]\\ \rm\Rrightarrow cosA=\sqrt{\dfrac{25-20}{25}}[/tex]
[tex]\\ \rm\Rrightarrow cosA=\dfrac{\sqrt{5}}{5}[/tex]
Option C
Related Questions
Fifteen is 3/8 of what number
Answers
Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓
15=3/8x (let x be the number)
Multiply by 8 on both sides to get rid of the fraction :
15*8=3x
120=3x
divide by 40 on both sides ↓
40=x
So 15 is 3/8 of 40.hope helpful ~
I need this ASAP!!!!!
Answers
Answer:
7/5 y intercept 1
Step-by-step explanation
Answer:
B: slope 5/7 Y-intercept is 1
Step-by-step explanation:
To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.
The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.
the Y intercept is 1 because on the vertical line the line passes through 0,1.
If the two acute angles of a right triangle are congruent, then what is the measure of each acute angle?
Answers
Let A={1,2,3,4,5} and B={2,4} what is AnB
Answers
Answer:
AnB = { 2,4}
Step-by-step explanation:
A={1,2,3,4,5} and B={2,4}
AnB means A intersect B or what is common to both A and B
AnB = { 2,4}
A rectangle has a length of 9 m and a width of 5 m. What is its perimeter?
14 m
40 m
28 m
26 m please help me
Answers
9 m length and 5m width.
to find:perimeter
solution:perimeter of rectangle= l+l+b+b
= 9+9+5+5
= 28m
You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?
Answers
Answer:
2.3% is the percentage of the Salary
Step-by-step explanation:
I know it's not A. I need help please
Answers
Answer:
139 degrees
Step-by-step explanation:
The sum of the interior angles of a polygon :
sum = ( n-2) * 180 where n = number of sides
For this one there are 5 sides
so ( 5-2) * 180 = 540 degrees
angle U = 90 degrees
90 + 82 + Y + 121 + 108 = 540 Y=139 degrees
Answer:
It is C. 139
Step-by-step explanation:
Angles of TVXXYZ is 720 degrees. We know that angles Z, W and X are 82 degrees, 108 degrees and 121 degrees (311 degrees after adding them). T= 180-28=152 degrees
V=90+28=118 degrees
152+118=270 degrees
270+311=581
720-581=139 degrees
The answer is C. 139 degrees
The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain? A. {2, 4} B. {-2, -4} C. {12, 14} D. {-12, -14} E. {0, 5}
Answers
Answer:
The answer is A. {2,4}
Step-by-step explanation:
I took the test on edmentum. 100%
A repairman charges a flat fee of $50 to come to a customer's house, plus a charge per hour for any work completed. The repairman charged a customer $154 after 4 hours of work. Which function will calculate the cost of the repairman after x hours of work?
Answers
Answer:
50 - 4x = 154;
Step-by-step explanation:
50 - 4x = 154
154 - 50 = 104
104 / 4 = 26
x = 26
Find the sum of
-3/7 and its opposite
Answers
solve for x: 4x+1/2(2x+4) >12
Answers
Answer: x>2
Step-by-step explanation:
[tex]4x+\frac{1}{2} (2x+4) > 12[/tex]
Step 1: Simplify both sides of the inequality through the Distributive Property
[tex]4x+\frac{1}{2} (2x+4) > 12\\4x+(\frac{1}{2})(2x)+(\frac{1}{2})(4) > 12\\4x+x+2 > 12\\5x+2 > 12[/tex]
Step 2: Subtract 2 from both sides to isolate x
[tex]5x+2-2 > 12-2\\5x > 10[/tex]
Step 3: Divide both sides by 5 to full isolate x
[tex]\frac{5x}{5} > \frac{10}{5} \\x > 2[/tex]
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]4x+\frac{1}{2}(2x+4) > 12 < ==multiply\ the\ \#s\ in\ the\ parenthesis\ first\ using\ \frac{1}{2}\\\\4x+x+2 > 12 < ==combine\ any\ like\ terms\\\\5x+2 > 12 < ==subtract\ 2\ from\ both\ sides\\-2 \ \ \ \ \ -2\\\\5x > 10 < ==divide\ both\ sides\ by\ 5\\/5 \ \ \ \ /5\\\\x > 2[/tex]
This means that x can be any value that is greater than 2.
Hope this helps!
Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate
Answers
Answer:
12 eggs/carton
Step-by-step explanation:
The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton
help please find x and y, 10 points and brainliest to best answer
Answers
Answer:
y =8
x=80
Step-by-step explanation:
5y-10=3y+6
5y-3y=6+10
2y =16
y=8
x+30+x-10=180
2x+20=180
2x=160
x=80
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answers:
Class C has the least variabilityClass B has the highest scores on average========================================================
Explanation:
The variability can be measured using the range. It's to measure how spread out the data set is. The smaller the range, the less the variability. The smallest of which is found in class C.The average can be measured by the arithmetic mean. We go for the largest mean, which in this case is class B.Answer:
Class C has least variability and Class B has highest variability.
I think it will help you
Range= Large- Small Data
find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
Answers
Answer:
1.9
Step by step answer
step1 finding the mean
(7+4+7+7+2+10+12+8+7+5)/10 = 6.9
step2 Difference between each data
Difference between 7 and 6.9 is 0.1
Difference between 4 and 6.9 is 2.9
Difference between 7 and 6.9 is 0.1
Difference between 7 and 6.9 is 0.1
Difference between 2 and 6.9 is 4.9
Difference between 10 and 6.9 is 3.1
Difference between 12 and 6.9 is 5.1
Difference between 8 and 6.9 is 1.1
Difference between 7 and 6.9 is 0.1
Difference between 5 and 6.9 is 1.9
step3 add all the Difference
0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4
step4 divde it by n
19.4/10 = 1.9
so the answer is 1.9
PLEASEEEE HELLPPPP!!!!!!!!!!!!!!!!
Answers
180-165=x
X=15
What is the form of the Difference of Squares identity?
A. a^2 + b^2=(a - b)(a - b)
B. a^2- b^2 = (a+b)(a - b)
C. a^2 - b^2 = (a - b)(a - b)
D. a^2- b^2 = (a+b)(a + b)
Answers
The answer is B
seeing there are 3 way to put it
(a+b)(a-b)=a 2-b 2
(a+b)(a-b)=a^2-b^2
(a+b)(a-b)=a2-b2
and option B matches with the second way to put it i hope this helps
44 is the sum of 14 and Rick's savings.
Answers
You need to fill a cylindrical glass with water. the glass is 6 inches tall and 2
inches across at the widest point. how many cubic inches of water is needed to
fill the glass? enter the answer exactly as it appears on your calculator. no
rounding this time.
Answers
volume = pi x r^2 ×h
where r is radius and h is height.
h= 6 in
r= 1
V=(22/7)×1^2 ×6
V=18.857in^3
Step-by-step explanation: Since the glass cup is cylindrical in shape, we use the formula for find volume of a cylinder iff the glass cup is to be filled full.
The volume of water will be equal to the volume of the cup. Across the widest point means diameter, hence half diameter gives radius.
multiply (x-3)(x-6) with steps please
Answers
x
2
−
9
x
+
18
x
2
-
9
x
+
18
Please help Will give BRAINLIEST !!! :)
Answers
Answer:
D no. is for sure another I also don't know. So sorry.......
PLEASE HELP ASAP 20 POINTS!!!
Answers
Answer:
D, I think…
Step-by-step explanation:
I used PEMDAS to go through and simplify and see which values match.
-2x+4y=28
-3x +2y = 6
Solve for x
Answers
Answer:
x=4, y=9
Step-by-step explanation:
Solve with substitution.
HELP HELP I GIVE BRANLISEST
Answers
Area of triangle:-
1/2(6)(12)6(6)=36cm²Area of rectangle (Including semicircle)
12(21)252cm²Area of semicircle
πr²/2π(6)²/218πcm²56.52cm²TOTAL area:-
36+252-56.52288-56.52231.48cm²Answer:
231.48 cm²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.
Area of the rectangle:
= 12 x 21
= 252 cm²
Area of the semicircle:
= 1/2 π(12 ÷ 2)²
= 1/2 · 3.14 · 6²
= 1/2 · 3.14 · 36
= 56.52 cm²
Area of the triangle:
= 1/2 x 6 x 12
= 36 cm²
Shaded area:
= area of rectangle - area of semicircle + area of triangle
= 252 - 56.52 + 36
= 194.48 + 36
= 231.48 cm²
From a point, 50 feet from the base of a building, the angle of elevation from ground level to the top of the building is 66°. find the height of the building to the nearest hundredth of a foot
Answers
Answer:
112.30 ft
Step-by-step explanation:
The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...
Tan = Opposite/Adjacent
tan(66°) = height/(50 ft)
Solving for the height gives ...
height = (50 ft)tan(66°) ≈ 112.30 ft
The height of the building is about 112.30 feet.
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
To use the Pythagorean theorem:
⇒ define Pythagorean theorem
(look at the diagram attached for a better understanding)
Information Given:
length of the two legs: 5, 9Information Wanted:
length of hypotenuseSolve:
[tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]
Rounded to nearest tenth:
Answer: Length of hypotenuse is 10.3
Hope that helps!
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are exactly that.
See picture for full problem. Please and thank you so very much.
Answers
Answer:
50 degrees
Step-by-step explanation:
the attached photo might help
An equation is shown below: 3(2x − 7) = 9
Part A: How many solutions does this equation have?
Part B: What are the solutions to this equation? Show your work.
Answers
Answer:
1 solution
Step-by-step explanation:
3(2x-7)=9
dustribute: (3)(2)+(3)(-7x)=9
6+-21x=9
subtract 6 from both sides: -21x=3
Divide both sides by -21: x=-1/7
so your 1 solution is x = - 1/7
HEL PLS ITS MY HOMEWORK AND I REALLY NEED HELP
Answers
Answer and explanation:
Take the area formula:
A = L * W
Then manipulate it to fit the context of which unknown you are finding:
Problem 1
[tex]\dfrac{36 = 4 * W}{4}[/tex]
[tex]9 = W[/tex]
So, the length of side c is 9 mm.
Problem 2
[tex]\dfrac{21 = W * 21}{21}[/tex]
[tex]1 = W[/tex]
So, the length of side a is 1 m.
Problem 3
[tex]\dfrac{49 = 7 * W}{7}[/tex]
[tex]7=W[/tex]
So, the length of side t is 7 cm.
M - 125, find the measure of
Answers
Answer:
125
Step-by-step explanation:
Assuming the lines are parallel :
n = 180-125
= 55
x = n
x = 55
z = 180-55
= 125