Answers
Hope this helps!!
Related Questions
1. What is the decimal equivalent of 3/
9? 0.2 0.3 0.4 0.5
Answers
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answers
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]Analyze: 30 + 11 when c=4
Answers
Answer:
23
Step-by-step explanation:
3c + 11
3(4) + 11
12 + 11
23
In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?
Answers
Answer:
750 of 100,000 chips would be expected to be defective.
Step-by-step explanation:
(3/400) and (?/100,000)
100,000 ÷ 400 = 250.
Multiply 250 by 3 to find the number of defective chips.
250 x 3 = 750.
Write an inequality for the statement the temperature is greater than 100°F
Answers
T > 100 oF
Complete the following equation <, >, or = 3.20_ 3.02
Answers
Answer:
Step-by-step explanation:
Complete the following equation using , or = 3.20 ___ 3.02 A.
The following equation 3.20 > 3.02
find the greatest Common factor Of the Monomials 14p^2, 21pq and 35q2 is?
Please Help :(
Answers
Answer: the greatest common factor is 7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
help! parallel, perpendicular, or neither?
Answers
Answer:
parallel
Step-by-step explanation:
Because a is pependicular to k
Hope that’s helpful :)
The equation shown has an unknown number ⍰÷3/4=4/9
Answers
Answer:
9
Step-by-step explanation:
EXPLAIN YOUR WORK PLZ
AJ worked 48 hours last week. He earns $15.40 per hour plus overtime, at the usual rate, for hours exceeding 40 hours. What was his gross pay?
A $644.80
B$739.20
C$800.80
D$1,108.80
Answers
Answer:
D
Step-by-step explanation:
It will be $1,108.0 Because if you devide 40 by the hours, Plus the pay which is 15.40 You will get D
Ab and cd intersects at e, aec=5x+12 and deb=8x-3
Answers
Answer:
x = 5
Step-by-step explanation:
Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.
8x - 3 = 5x + 12
3x = 15
Simplify the expression to standard form
-2.5(-3+ 4n+8)
Answers
Answer:
-12.5-10n
Step-by-step explanation:
jjjjjjjvuvubibuvuvuvibibivi
Answer:
distribute to get:
7.5 -10n -20
-10n - 12.5
Together Mike and Sara ran 42 laps on the
track. Sara ran twice as many laps as
Mike did. Write a system of equations and
solve it to see how many laps they each ran.
Answers
Answer:
i dont know the system of equations since i only calculated it until i got the right answer but sara did 28 laps and mike did 14
An interior designer wants to place this bed in a home, and she is especially concerned about the headboard, which is 6 feet wide and 5 feet tall. She’ll place the headboard on a wall that is 7 feet wide and 9 feet tall. She needs to know the area of the space that will remain after she places the bed against the wall
Answers
Answer:
Step-by-step explanation:
Area of the Wall minus the Area of the headboard
Area = length x width in this use tall as length and wide as width
Area Wall - Area Headboard = (Tall wall)(Wide wall) - (Tall head)(Wide head)
= (9)(7) - (5)(6) feet
= 63 - 30 feet
= ???? I'll let you finish it
The area of the space that will remain after she places the bed against the wall is 30 feet².
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
The headboard, which is 6 feet wide and 5 feet tall.
The headboard on a wall that is 7 feet wide and 9 feet tall.
So, Area of remaining space
= Area of the Wall - Area of the headboard
= (9)(7) - (5)(6) feet
= 63 - 30
= 30 feet²
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ5
The local movie theater charges $13 for adult tickets and $7 for children’s tickets. Yesterday they sold 115 tickets and made $943. How many adult and children tickets did they sell?
Answers
Answer:
i need more info
Step-by-step explanation:
Is parallelogram BCDE a rectangle?
Answers
Find the values of x and y that make these triangles congruent by the HL Theorem
Answers
Answer:
number 3
because because because because because because because because because
Step-by-step explanation:
because because because because
4w2 + 3W
- 1
5w - 2
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answers
Question:
A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answer:
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Step-by-step explanation:
Given
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Required
Determine an expression for the area
Area is calculated as:
[tex]Area = Length *Width[/tex]
[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]
Expand
[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]
Collect like terms
[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Which of the following correctly completes the square for: x^2+2x=48
A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26
Answers
Answer:
(x+1)²= 49, the answer is B
Step-by-step explanation:
x² + 2x = 48
x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]
(x+1)²= 49, the answer is B
Answer:
hey I'm pretty sure it's B. (x+2)²=49
Step-by-step explanation:
x²+2x+(2\2)²=48 + (2\2)²
(x+1)²=49
2 over 2 by the power of 2 = 1
((will give brainliest)) What is the output of the function y = 12 + 3x if the input is 5.
Answers
Answer:
y = 27
Step-by-step explanation:
The output is the value of y when x = 5
Substitute x = 5 into the function , that is
y = 12 + 3(5) = 12 + 15 = 27 ← output
to solve you plug in the input into x and rewrite the equation as y=12+3(5) then you add 12+15 and get y=27
Which expressions are equivalent to this exponential expression?
6-10
6-4
06-6
0 66
0
1
0
O
1
36
Answers
Answer:
6*6=36
Step-by-step explanation:
6*6. 6 with exponent of 2=36
Can someone help me with this??
Answers
Answer:
A
Step-by-step explanation:
When dilating an object, you multiply the x and y values by whatever scale you want to dilate the object by. It cannot be C because 2/5 is less than 1, which means that the object would shrink. So the answer must be A
At the craft store, Amelia bought a bag of purple and yellow marbles. She received 75 marbles in all. 15 of the marbles were purple. What percentage of the marbles were purple?
Answers
Answer: 20%
Step-by-step explanation:
Given
Total marbles are 75
Out of this 15 are purple
Percentage of purple marbles is given by
[tex]\Rightarrow \dfrac{15}{75}\times 100=20\%[/tex]
So, purple marble constitutes of 20%
what is the answer to 7(2x + 9)
Answers
Answer:
14x + 63
Step-by-step explanation:
[tex]7(2x+9)\\\\14x+63\\\\\left \{ {{7*2x=14x} \atop {7*9=63}} \right.[/tex]
Hope this helps.
happy april fools day you nerds now take my points
Answers
Answer:
WOW THANK YOU SO MUCH!
Step-by-step explanation:
I'm more of a dog lover and not a nerd, but hey I'll take what I can get!
If your like dogs, can you guess what kind of dog this is?
(yes they are all the same breed just different coat colors)
A 30 year fixed rate mortgage at 4.5% with principal of $150,000 has a monthly payment of $760 per month. After
30 years, what is the total amount spent on interest?
A) $6,750
B) $123,600
c) $156,750
D) $273,600
Answers
Answer:
A 30 year fixed rate mortgage at 4.5% with principal of $150,000 has a monthly payment of $760 per month. After
30 years, what is the total amount spent on interest?
A) $6,750
B) $123,600
c) $156,750
D) $273,600
Step-by-step explanation:
[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.
Answers
Answer: I dont know AZ
Please look at the picture and answer my question I need help!
Answers
Answer:
64oz=4lb
Step-by-step explanation:
When converting ounces to pounds there is a 16:1 ratio, or there is 16 ounces in every pound.
To solve this, simply do 64/16 and you'll get your answer of 64oz=4lb.
64/16=4
64oz=4lb
help please !!!! (will give brainliest)
Answers
Montana has a temperature of -0.7 so to get to 0 degrees you need to add 0.7. Once you get to zero you need to add 18.1 (Florida’s temperature) and then add 18.1 + 0.7 to get 18.8
how do you find the range of 0.3 0.9 0.2 0 0.7 0.9 0.4