Answer:
Isolate the angle 2x, by following the reverse "order of operations".
Step-by-step explanation:
Explanation:
Step 1: Add 1 to both sides:
2
cos
2
(
2
x
)
=
1
Step 2: Divide both sides by 2:
cos
2
(
2
x
)
=
1
2
Step 3: Take the square root of both sides:
cos
(
2
x
)
=
√
2
2
or
cos
(
2
x
)
=
−
√
2
2
(don't forget the positive and negative solutions!)
Step 4: Use inverse of cosine to find the angles:
2
x
=
cos
−
1
(
√
2
2
)
or
2
x
=
cos
−
1
(
−
√
2
2
)
Step 5: Find angles that work:
2
x
=
π
4
or
2
x
=
7
π
4
or
2
x
=
3
π
4
or
2
x
=
5
π
4
Step 6: Solve for x:
x
=
π
8
,
7
π
8
,
3
π
8
,
5
π
8
or .785, 5.5, 2.36, 3.93
(decimal approximations are seen on the graph below)
Wildlife sanctuary has 38 species of birds.
They have 15 of each kind. A national
zoo in the same city has 42 species of
birds with 12 of each kind. Do they have
the same number of birds?
Firstly, solve 38C15.
Then solve 42C12.
Compare your answers.
The goal here is to see if 38C15 = 42C12.
Here is the formula:
nCr = n!/(r!(n - r)!
Go for it.
Find the approximate length of the bolded arc.
Answer:
Step-by-step explanation:
When finding the volume of a triangular prism, why is it necessary to multiply by 1/2 or divide by 2?
What is 468,839 rounded to the nearest hundred thousand?
Answer:
500,000
Step-by-step explanation:
Answer:
500,000
hope this is right
x^2+ 3 has a value of 28. What term in the sequence has a value of 28?
Answer:
5th term
Step-by-step explanation:
x^2 +3 = 28
Subtract 3 from each side
x^2+3-3 =28-3
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
(x could be -5, but there are not usually negative terms in a sequence)
Answer:
The value of X1 is -5, X2 is +5.
help me get this answer please
Answer:
First, we find how many red beads there are:
2 + 1 + 3 = 6
12 - 6 = 6
Red beads = 6
Now we add the red beads and the purple beads:
Purple beads = 3
Red beads = 6
3 + 6 = 9
9/12 = 3/4
Hope this helps!
What is the exact value of the trigonometric function?
(4 pts)
cos(600)
Answer:
45 man all day long
Step-by-step explanation:
i say 45 because it just is.
Which is NOT the formula for an area of a rectangle?
Group of answer choices
A = 1/2 X h X (Base 1 + Base 2)
A = L X W
A = bh
A = Base X Height
2x +1=x+3 plzzz give the answer
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2
READ CAREFULLY! - 50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 779 students in the school, you would expect ______ students in the entire school to prefer Coke. Enter an answer rounded to the nearest whole number.
Answer:12/50 * x/588
Step-by-step explanation:= 141.12
588 - 141.12 = 446.88
I would expect 447 students to prefer Coke.
Hope this helps
please help im stuck on this
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
<3 is 79 degrees and they are corresponding angles
Answer: The answer to the first question is measure 3 is 79 degrees. For the second one the angles are known as corresponding angles.
Step-by-step explanation:
Corresponding angels are two angles that are the same degree measure and are on the same side.
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
how does 3.1416 come
Answer:
It is the value of pie(22/7)
Johnny buys a desk on sale for $300.00. If the regular price
is $450.00, what is the percent of discount?
Answer: 33.33%
This MAY be wrong, but when I calculated it, the total discount came out to 149.985, which I think can be rounded up to 150
Which expression is equivalent to -14 - 32d
A. -7(2-5d)
B. 7(2-5d)
C. 7(-2+5d)
D. -7(2+5d)
Helpppppppppppppppppppppppp
Please identify the reason of why e ach statement is true. (The blank ones I haven't answered)
Answer:
I'm not sure about "11" but 12. is "by the definition of right angles", and 16. is "by the SAS(side angle side) congruency theorem"
Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters
Answer:
i
Step-by-step explanation:
dont know
Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jeans to take
Answer:12,376
Step-by-step explanation:
Given
Connie has 17 Pairs of jeans
She has to choose 6 pairs out of 17
We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]
[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]
What’s the least common factor of two and six
Answer:
6
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 6
Explanation: least common multiple
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
2. Jose is looking for a job while he takes part-time college classes. The
salaries for three jobs he is interested in are shown below. How much
more will he earn as a veterinary tech than a barista for the four years he
is in school? *
BARISTA:
19,630$
ANIMAL
GROOMER:
$22,230
VETERINARY
TECH:
$32,490
A. $41,040
B. $10,260
C. $12,860
D. $51,440
Answer: 51,440
Step-by-step explanation:
If a Veterinary tech earns 32,490 and a Barista earns 19,630
You're gonna create the equation ( 32,490 x 4 ) and get 129,960. Then your gonna subtract ( 19,630 x 4 ) from 129,960 and get around 51,440.
Also, you get the 4 from the number of years he works, which is 4.
If AB has endpoints A(-15,9) and B(0,3) what is the slope of AB
Answer:
-2/5
Step-by-step explanation:
slope= (y2-y1)/(x2-x1)
= (3-9)/(0+15)
= -6/15
= -2/5
4.B.83
How much must be deposited today into the following account in order to have get 35,000 in 5 Years
An account with monthly compounding and an APR of 4%
should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed)
Answer:
$ 28,665.11 must be deposited today into the account.
Step-by-step explanation:
Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:
X x (1 + 4/12) ^ 5x12 = 35,000
X x (1 + 0.333) ^ 60 = 35,000
X x (1,333) ^ 60 = 35,000
X x 1.220999 = 35,000
X = 35,000 / 1.22099
X = 28,665.11
Thus, $ 28,665.11 must be deposited today into the account.
A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
If anyone knows this I will give them brainiest
Answer:
x = 12
m(QS) = 52°
m(PD) = 152°
Step-by-step explanation:
Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)
Thus:
m<R = ½[m(PD) - m(QS)]
50° = ½[(12x + 8) - (4x + 4)] => substitution
Solve for x
Multiply both sides by 2
2*50 = (12x + 8) - (4x + 4)
100 = (12x + 8) - (4x + 4)
100 = 12x + 8 - 4x - 4 (distributive property)
Add like terms
100 = 8x + 4
100 - 4 = 8x
96 = 8x
96/8 = x
12 = x
x = 12
✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°
✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°
Please help me !!!!!!!!!!!!!!!!!!!
Answer:
5) arccos A = 28°
6) arcsin A = 53°
Step-by-step explanation:
5) cos A = 30/34
6) sin A = 32/40
5)
For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).
In this case,
cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17
6)
For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.
In this case,
sin(A) = opposite / hypotenuse = 32 / 40 = 4/5
A way to remember sine, cosine, and tangent is SOHCAHTOA, where
SOH is Sine = Opposite / Hypotenuse
CAH is Cosine = Adjacent / Hypotenuse
TOA is Tangent = Opposite / Adjacent
Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Corinne filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?
Answer:
Ben
Step-by-step explanation:
Ben filled
[tex]25 \div 20[/tex]
Which is 1 minute and 25 seconds
Corrine filled
[tex]27 \div 24[/tex]
Which is 1.125 so about 1 minute and 13 seconds
Can someone help me! it would mean the world! and tysm! <3
Answer:
143 students
Step-by-step explanation:
multiply then add :)
Answer:
143 students
Step-by-step explanation:
78 boys
5/6 times as many girls
78 x 5/6 = 65 girls
78 + 65 = 143 students in total
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4 of the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Answer:
7/20
Step-by-step explanation:
You have to add 1/4 and 2/5 which gets you 13/20. And since the glass would be full, 20/20 is full, so then you have to subtract 20/20 from 13/20 which gives you 7/20.
pls help i fr HAVE TO PASS THIS SIX WEEKS
Answer:
pretty sure its 68 or 66 dont put 34 tho lol