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
Fistan is comparing two number pattern
the information below.
• Both patterns start with the number 1.
• Pattern A follows the rule “add 3”.
• Pattern B follows the rule “add 4".
ow do each of the first 5 terms in Pattern A
mpare to the first 5 terms in Pattern B? As
et of your answer, list the first 5 terms of each
tern.
Answers
Answer:
See below.
Step-by-step explanation:
Each term increases by 3 for A and 4 for B. Either do this calculation manually on a table, or use a spreadsheet to calculate all terms quickly.
The ten first terms for A and B are shown.
A B Difference
1 1 1 0
2 4 5 1
3 7 9 2
4 10 13 3
5 13 17 4
6 16 21 5
7 19 25 6
8 22 29 7
9 25 33 8
10 28 37 9
We can see that the difference between the two patterns is that B increases more rapidly until there is a difference of 9 by the 10th term.
Multiplying a number by 3 is equal to sum of the number and 5.
Answers
Answer:
this makes no sense
Step-by-step explanation:
The number that when multiplied by 3, equals the sum of the number and 5 is 2.5.
How can we solve for 2.5?First assume that the number we are looking for is x.
One side of the equation will be:
= 3 × x
= 3x
The other side of the equation would be:
= 5 + x
Equating these numbers gives:
3x = 5+ x
3x - x = 5
2x = 5
x = 5/ 2
x = 2.5
In conclusion, the number is 2.5.
Find out more on operations involving solving for numbers at https://brainly.com/question/18897826.
HELP PLEASEE !!! Only correct answers and please no links
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.
© 2018 StrongMind. Created using GeoGebra.
What is the probability of rolling an even number or flipping a tail?
Enter your answer as a reduced fraction, like this: 3/14
Answers
Answer:
Both are 1/2
Step-by-step explanation:
Count just the tails, that's the numerator
Count all the heads and tails, that's the denominator.
And for the 2nd fraction:
Count just the evens, that's the numerator
Count all the even and odd numbers, that's the denominator.
Answer: The answer to this question is 3/4
Step-by-step explanation:
In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.
Hence, the probability is given by: p=9/12=3/4
Solve for x:
A. 37
B. 19.25
C. 10.375
D. 41
(4x-6)
71
Answers
Answer:
Answer = B.19.25
Step-by-step explanation:
(4x-6)=71
4x=71+6
4x=77
x=77÷4
x=19.25
Choose the system of equations that best represents the situation below:
The sum of two numbers is 25 choose the system that best represents the situation below and their difference is 7. Find the two numbers.
A. x + y = 18
B.x + y = 25
2 + y = 7
C. x - y = 25
2 - y = 7
D. x+y= 25
x - y = 7
Answers
Answer: x = 16, y = 9
D. x + y = 25
x - y = 7
Step-by-step explanation:
Let x be a number and y be another. First, I will write the problem out using equations. Then I can solve by graphing, see attached. Their point of intersection is the answer, x = 16 and y = 9.
The sum of two numbers is 25
x + y = 25
Their difference is 7
x - y = 7
D. x + y = 25
x - y = 7
For every 2 sheep in the field on monday, how many chickens were in the field?
Answers
Answer:
This needs more context im sorry
Step-by-step explanation:
How many 5-digit numbers contain at least one 3?
Answers
Answer:
37,512
Step-by-step explanation:
Total # of 5 -digit numbers =9×104=90,000
Total # of 5 -digit numbers that do not contain 3=8×94=52,488
Total # of 5 -digit numbers that contain at least one 3=90,000−52,488=37,512
Simplify 4 - 2m + 4m +1
Answers
Answer: 2m+5
Step-by-step explanation:
4−2m+4m+1
Combine −2m and 4m to get 2m.
4+2m+1
Add 4 and 1 to get 5.
5+2m
Answer: 2m + 5
Step-by-step explanation:
Just do:
4 - 2m = 2m4m + 1 = 5So, 2m + 5
The radius of a circle is 12.7 ft. Find the circumference
to
the
nearest
tenth
to the nearest tenth.
Answers
Answer:
79.8
Step-by-step explanation:
Please help! No links no files :(
Answers
Answer:
Step-by-step explanation:
Area of a triangle:
base = 4 units
height = 3 units
[tex]\boxed{\text{Area of triangle = $\dfrac{1}{2}*base*height$}}[/tex]
[tex]\sf = \dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square \ units[/tex]
[tex]4x^{3} + x8x^{2}[/tex]
Evaluate
Answers
Answer:
12x^3
Step-by-step explanation:
they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3
just add them and you're set
ing a Reflection in the
Coordinate Plane continued
Triangle XYZ is reflected across the y-axis to form
figure
help
Answers
Answer:
equals 1864 and this head and this talk
What is the cube of 6?
A. 216
B. 42
C. 36
D. 18
Answers
Answer:
A
Step-by-step explanation:
Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216
5,5/2,5/4 find the ninth term
Answers
Answer:
T9 = 5/256
Step-by-step explanation:
This is a geometric progressionYou can tell it by looking at the pattern of the progression whether each term +- or ×÷.
From the question,
First term, a = 5
Common ratio, r = (5/2)/5 = ½
n = 9
Using the formula for nth term of a geometric progression,
[tex] t_{n} = a {r}^{n - 1} [/tex]
T9 = 5(½)^(9-1)
= 5/256
An angle measures 12.8° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
180 angles usually up and down from each other
Step-by-step explanation:
85.2
94.8
How long does this lease last?
Answers
A rectangle with length of 4/9 foot and a width of 2 feet
Answers
Answer:
area of rect = 8/9
Step-by-step explanation:
Area of rect.= (L*W)
Area = (4/9) (2)
Area = (4/9) (2/1)
Area = 8/9
Answer:
8/9 feet
Step-by-step explanation:
Area=l*w
4/9ft*2ft
4/9*2/1=8/9ft
How much will you lose
Answers
Answer:
i don't know how much will l loose
Find the length of the third side. If necessary, round to the nearest tenth
Answers
11^2+12^2=x^2
121+144=x^2
265=x^2
x=16.3
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use Pythagoras theorem !
[tex]\qquad \sf \dashrightarrow \:h {}^{2} = p {}^{2} + b {}^{2} [/tex]
where,
h = hypotenuse = unknown b = base = 11 p = perpendicular = 12[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 12{}^{2} + 11 {}^{2} [/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 144{}^{} + 121[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 265[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} = \sqrt{265}[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} \approx16.3[/tex]
Alice has 2290 dollars, Cindy has 987 more than Alice
What is the amount of money combined with Alice and Cindy?
Answers
Answer: 3,277
Step-by-step explanation: all you have to do is add 2290 and 987 toghther
Answer:
5567 $.
Step-by-step explanation:
The amount of money Alice has = 2290 $.
Cindy = Amount of money Alice has + 987
= 2290 + 987
= 3,277.
Now,
The amount of money combined = 2290 + 3277
= 5567 $.
Can someone please help me? :(
Answers
Answer:
A
Step-by-step explanation:
4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3
At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.
What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?
Answers
The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37
What is ratio?Ratio is a term that is used to compare two or more numbers.
Therefore,
At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,
The Junior population at 2:00 pm is as follows;
12 pm to 2pm is 120 minutesThen, 120 / 15 = 8
20 × 8 = 160 students
The junior student increased by 120 by 2pm.
The Senior population at 2:00 pm is as follows;
45 × 8 = 360 students
360 senior student left by 2 pm.
Therefore,
Junior student by 2pm = 700 + 160 = 860 students
Senior student by 2 pm = 110 - 360 = 740 students
The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37
learn more on ratio here: https://brainly.com/question/20331008
What is the surface area of this triangular pyramid?
Answers
Area of one face = 1/2 x base x height = 1/2 x 5 x 3 = 7.5 square inches.
there are 3 of those faces : 7.5 x 3 = 22.5 square inches.
the bottom triangle = 1/2 x 5 x 4.3 = 10.75 square inches
total surface area = 22.5 + 10.75 = 33.25 square inches
I need help on this image below
Answers
Answer: 70 degrees
Step-by-step explanation:
Scrooge Mc duck has $16 in savings at the beginning of a month she then decides to save a dollars every week write an inequality in its simplest terms that represents the solution describing how many weeks it takes Scrooge to accumulate at least $120
Answers
Answer:
120 <= 16+(w*d)
108<=d*w
Step-by-step explanation:
let w = weeks and d = dollars saved per week
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!
What are two transformation that will produce a figure that is congruent to the original figure?
Answers
Answer: Translation, reflection, rotation
Step-by-step explanation:
1/secA+tanA = 1-sinA/cosA
Answers
Answer:
Below.
Step-by-step explanation:
1 / secA+tanA = 1 / [1/cosA+sinA/cosA))]
= 1/ [(1 + sinA)/cosA]
= cosA/(1+sinA)
Now check if this is identical to 1-sinA/cosA:
1-sinA/cosA = cosA/(1+sinA)
Cross multiply:
(1-sinA)(1+sinA) = cos^2A
1 - sin^2A = cos^2A
sin^2A + cos^2A = 1
This is a known idenity.
So the original identity is true.
John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?
(x + 4)^2 = - 4
(x+2)^2 = - 4
(x+4)^2 = - 8
(x + 2)^2 = - 8
Answers
Answer:
[tex](x + 2) ^{2} = - 8[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 4x + 8 = 0 \\ {x }^{2} + 4x = - 8 \\ {x}^{2} + 4x + 4 = - 8 + 4 \\ ( x + 2)^{2} = - 4[/tex]
Describe the outlier boundaries for the data set.
16, 18, 19, 16, 20, 18, 24, 22
Answers
Answer:
Any value less than 16 or greater than 24 is an outlier. :)
Step-by-step explanation:
In the data set, the smallest value is 16 and the largest value is 24 so that is why I think any value less than 16 or greater than 24 is an outlier. :)
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