By applying fundamental trigonometry and the values for common angles, we have that (1 - cos² 60°) · (1 + cos² 300°) is equivalent to 2 · sin² 120° + sin⁴ 60°.
How to determine an equivalent trigonometric expression by means of formulasIn this question we have to prove the trigonometric expression by means of fundamental trigonometric relationships and known values for certain angles. We proceed to prove that one side of the expression is equivalent to the other side:
(1 - cos² 60°) · (1 + cos² 300°) Givensin² 60° · (2 - sin² 300°) sin² α + cos² α = 12 · sin² 60° - sin² 60° · sin² 300° Distributive property2 · sin² 120° + sin⁴ 60° Sine is an odd function/ResultBy applying fundamental trigonometry and the values for common angles, we have that (1 - cos² 60°) · (1 + cos² 300°) is equivalent to 2 · sin² 120° + sin⁴ 60°.
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Find the measure of the angle in the rectangle in the picture below:
Answer:
72°
Step-by-step explanation:
need help please with info
Answer:
So the whole thing is 180, we already have 3x+12, it's C.
Because A would be 3x +180 (1803x) +something else which would bring it over 180.
Step-by-step explanation:
C is the answer because 180 is the toal and it isn't going over 180 right away.
Answer:
C. (3x +12) + x = 180°
Step-by-step explanation:
(3z+12)° is obtuse. x° is acute.
Both are supplementary angles that are linear pair that add up to 180°
(3x + 12)° + x° = 180°
4x + 12 = 180°
4x = 168°
x = 42°
Plug x into (3x + 12)°
3*42° + 12
126 + 12
138°
Multiplying and factoring polynomial expressions (9th grade)
Answer:
1. 2(a^2 + 3a + 9)
2. 5(x^2 - 1)
3. 3(t + 8)(t - 2)
4. n(4 - n)
Step-by-step explanation:
For 1, you can only factor out the constant from each.
For 2, you can also only factor out the constant, but remember that you include the 1 when dividing 5 by 5.
For 3, you can factor out the constant and the variables.
For 4, you can only factor out the variable.
help me please it urgent i have homework anyone there
Answer:
14.9g + 9.5c
Step-by-step explanation:
g stands for $ earned training & c stands for $ earned working with customers
Anthony trained for 8.5 hours so, 8.5 hours x g $ earned at training = 8.5g
He worked with customers for 4.3 hours, so 4.3 hours x c $ earned with customers = 4.3c
Anthony's total $ earned is 8.5g + 4.3c
Madison trained for 6.4 hours so, 6.4 hours x g $ earned at training = 6.4g
She worked with customers for 5.2 hours, so 5.2 x c $ eared with customers = 5.2c
Madison's total $ earned is 6.4g + 5.2c
Anthony 8.5g + 4.3c
Madison 6.4g + 5.2c
If you add both their $ earned training, you get 14.9g
If you add both their $ earned with customers, you get 9.5c
To total what they both earn it would be 14.9g + 9.5c
How to solve for “?”
With work please. I know the answer just not how to get it. Thanks!
Check the picture below.
Find f(g(2)) simplify completely f(x)= 6x+9 g(x)=3x
Answer:
45
Explanation:
Given:
f(x)= 6x+9
g(x)=3x
Go from right to left in such function questions
⇒ f(g(2))
⇒ f(3(2))
⇒ f(6)
⇒ 6(6) +9
⇒ 36 + 9
⇒ 45
Answer:
f(g(2)) = 45
Step-by-step explanation:
f(x) = 6x + 9g(x) = 3xFinding g(2)
g(2) = 3(2)g(2) = 6Solving f(g(2))
f(g(2))f(6)f(6) = 6(6) + 9f(6) = 36 + 9f(6) = 45f(g(2)) = 45On a coordinate plane, how are the locations of the points (-7 , -4) and (7 , -4) related?A.
A. locations unrelated
B.reflection across the x-axis
C.reflection across both axes
D. reflection across the y-axis
Answer: reflection across y axis
Step-by-step explanation:
I really need help, struggling. Question is in image.
Answer:
164
Step-by-step explanation:
Checkpoint 2= -187
Checkpoint 1= -23
The negatives mean how much lower they are from the surface.
To find "how much lower," we need to subtract -23 from -187.
-187-(-23) is the same as -187+23 (2 negatives=1 positive)
-187+23= -164.
However, it's not negative in the answer because by asking how much lower, we don't need to have a negative. "How much lower" is a distance, and a distance is always positive.
Simplify:
−
(
7
p
+
6
)
−
2
(
−
1
−
2
p
)
−(7p+6)−2(−1−2p
Answer:
−(7p+6)−2(−1−2p) = - 3p - 4
Step-by-step explanation:
−(7p+6)−2(−1−2p) = -7p - 6 + 2 + 4p
= (-7p + 4p) + (2 - 6)
= -(7p - 4p) - (6 - 2)
= - 3p - 4
At 6 o'clock in the morning the
temperature
was -5°C. By 4 o'clock in
the afternoon, the temperature was
16°C.
1. What was the change in
temperature?
Answer:
21 degrees
Step-by-step explanation:
Answer:
21°C
Step-by-step explanation:
If the temperature was -5° in the morning and 16° in the morning, then that means there was an increase in temperature. To find the exact change in temperature, we need to find what plus -5 would be equal to 16.
-5 + x = 16
-5+5 + x = 16+5
x = 21
From this, we can see that the change in temperature was 21°C.
hope this helps!
3 no d anf
answer needed
with process
Answer:
d) ordered pairs are equal
e) ordered pairs are not equal
Step-by-step explanation:
d) ( 3+4 , 2 - 1)
x-co ordinate = 3 + 4= 7
y-co ordinate = 2 - 1 = 3
(3+ 4 , 2-1) = (7 , 3)
(3+4 , 2-1) & ( 7 ,3) are equal
f)Compare the x -co ordiante and y - co ordiante of the two pairs
p +q = q + p {addition closed under commutative property}
but q - p ≠ p - q {Subtract is not closed under commutative}
(p +q, q - p) & ( q + p , p -q ) are not equal
Which number is a solution of the inequality x less-than n3gative 4? Use the number line to help answer the question.
A number line going from n3gative 9 to positive 1.
–3
0
2
Answer:
-3
Step-by-step explanation:
because a positive minus a negative depending on what the positive = a negative
Are the number of telephone numbers within a particular area code determined by permutations, combinations, both, or neither? Are there any restrictions? Explain your answer with details.
Answer:
Phone numbers are an example of permutations. In the United States, each phone number consists of ten digits, three for the area code and seven for the unique phone number. (There is also a "1" preceding each phone number to indicate that the first three digits are the area code.)
Step-by-step explanation:
Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
4. √(5) * √(5) * √(9)
[tex]\sqrt 5 \cdot \sqrt 5 \cdot \sqrt 9\\\\=\left( \sqrt 5\right)^2 \cdot \sqrt{3^2}\\\\=5\cdot 3\\\\=15[/tex]
What is the overlap of data set 1 and data set 2? high moderate low none
The overlap of data between both sets of data is low, hence the correct option is B. See below for more.
What is Data Overlap?From the information provided, we can tell that two of nine samples for both populations correspond.
This results in a data-sharing of around 22%. This reading cannot be categorized as 'medium' because there isn't a lot of matching data.
It also but it's also 'none' because there is a non-negligible match. Hence the correct answer is C - Low.
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Lucy’s age, x, 12 years from now, how old will Lucy be?
Answer:
x+12
Step-by-step explanation:
bc her age in twelve years is her age plus 12
The thickness of a book varies directly with
the number of pages in the book. A book is
1.8 cm thick and contains 350 pages. What is
the thickness of the first 84 pages of the book?
[tex]\qquad \qquad \textit{direct proportional variation}\\\\\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill }\\\\\textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill }\\\\[-0.35em]~\dotfill[/tex]
[tex]\stackrel{\textit{"th" varies directly with "p"}}{th=kp}\qquad \textit{we also know that} \begin{cases} th=1.8\\ p=350 \end{cases} \\\\\\ 1.8=k(350) \implies \cfrac{9}{5}=350k\implies \cfrac{9}{1750}=k~\hfill \boxed{th=\cfrac{9}{1750}k} \\\\\\ \textit{when p = 84, what is "th"?}\qquad th=\cfrac{9}{1750}(84)\implies th=\cfrac{54}{135}\implies th=0.432[/tex]
negative 4 minus 6 is less than 50
Answer:
your question is not quite clear.
are you trying to ask ask this " Are negative 4 minus 6 less than 50 ?
if so then it can also be translated mathematically as " - 4 - 6 = 50
then the answer is YES.
Step-by-step explanation:
because - 4 - 6 is -10
- 10 is less than 50
Because in the number line
e.g -10, -9, -8 , -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and so on...
you can see that -10 is way lesser than 50.
but if this isn't the answer you're looking for, I think you should please make the question clearer, thanks.
Hope this helps .
20000 lb equals how many US tons
Answer:
10 us tons
Step-by-step explanation:
Answer:
10 Tons
Step-by-step explanation:
this is becuase 2k or 2,000 lbs is equal to 1 US Ton
simply devide the lbs by 2,000 to get the same amount in US Tons
The value of y varies directly with x. When y = 75, x = 1/2 What is the value of y when x = 18?
Answer: 2700
Step-by-step explanation:
Y = KX
75 = K × ½
75 ÷ ½ = K
75/1 × 2/1 = K
K is 150
Y = 150 × 18
If you are given the graph of h(x) = log6x, how could you graph m(x) = log6(X+3)?
O Translate each point of the graph of h(x) 3 units up.
O Translate each point of the graph of h(x) 3 units down.
O Translate each point of the graph of h(x) 3 units right.
O Translate each point of the graph of h(x) 3 units left.
Answer:
Translate each point of the graph of h(x) 3 units left.
Step-by-step explanation:
Translate each point of the graph of h(x) 3 units left.
you can use DESMOS
Answer:
(d) translate 3 units left
Step-by-step explanation:
The translation transformation m(x) = h(x -a) +b will translate the function h(x) right by 'a' units and up by 'b' units.
Here, you have a = -3 and b = 0. The graph of the function will be translated left 3 units.
Bob's Bagels sells 7 bagels for $8.00, and Betty's Bagels sells 9 bagels
for $6.00. Which is the better deal?
3 of 4
The better deal will have the
higher
ratio of dollars per bagel.
To find the better deal, you must compare the fractions
Select...
Comparing the fractions reveals that
Select...
has the better deal
Answer:
3 of 4
The better deal will have the higher ratio of dollars per bagel.
To find the better deal, you must compare the fractions 8/7 and 6/9.
Comparng the fractions reveals that Betty has the better deal
Step-by-step explanation:
bobbs bagels: 8/7 equals 1.14, so each bagel would cost about $1.14
bettys bagels: 6/9 equals 0.66, so each bagel would cost about $0.66
$0.66 is better than $1.14 per bagel. therefore, bettys bagels are cheaper
hope this helps :)
Select the correct answer from the drop-down menu. the sound level, , in decibels (db), of a sound with an intensity of i is calculated in relation to the threshold of human hearing, , by this equation. the threshold of human hearing is . the sound level of a jet plane is approximately 140 db. the intensity of the sound of a jet plane is approximately .
If the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB
Functions and valuesThe sound level of a jet plane is expressed according tothe expression given as:
β = 10log(I/I0)
Given the folowing parameters
β = 140dB
I0 = 10^-12 W/m²
Required
Intensity "I"
Substitute
140 =10log(I/10^-12)
14 = log(I/10^-12)
10^14 = I/10^-12
I = 10^14 * 10^-12
I = 10^2
I = 100dB
Hence if the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB
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Answer:
100
Step-by-step explanation:
A bag has 3 balls: 1 orange (0), 1 green (G), and 1 blue (B). A coin has 2 sides:
heads (H) and tails (T).
You randomly pick a ball and toss a coin. What is the sample space?
Answer:
The sample space is
S= {BH,GH,YH,OH,BT,GT,YT,OT}
Step-by-step explanation:
The sample space refers to the set of all the possible outcomes.
The possible outcomes are:
Head and blue ball: BH
Head and green ball: GH
Head and yellow ball: YH
Head and orange ball: OH
Tail and blue ball: BT
Tail and green ball: GT
Tail and yellow ball: YT
Tail and orange ball: OT
The sample space is S= {BH,GH,YH,OH,BT,GT,YT,OT}
What is the value of B for the following triangular prism?
It would be 48ft2. If you need help with anything just ask
hi , anyone can help?
Step-by-step explanation:
AS = Asri's height
AD = Adib's height
IR = Irfan's height
AS = 2x
AD = AS - 6 = 2x - 6
IR = 2 × AS = 2 × 2x = 4x
i)
IR = 4x
ii)
IR - AS = 4x - 2x = 2x
A City Council consists of nine men and six women. Three representatives are chosen at random to form a sub-committee. What is the probability one man and two women are chosen?
Answer:
0.2967 or 29.67%Step-by-step explanation:
Total number of people
9 + 6 = 15Combination of 3-people subcommitee without restrictions
15C3 = 15!/(15 - 3)!3! = 15!/12!3! = 15*14*13/2*3 = 455Combination of 3-people subcommitee with one man ad two women
9C1*6C2 = 9*6!/(6-2)!2! = 9*6!/4!2! = 9*6*5/2 = 135The probability of one man and two women are chosen
P = 135/455 = 0.2967 or 29.67%If 65 is 20% of x, then x = ?
Step-by-step explanation:
65/x ×100 = 20
6500/20 = x
x = 325 Answer .. option (B)
[tex] \bold{ \underline{ \purple{Question}}}[/tex]
if 65 is 20% of X then x = ?
[tex] \bold{Given}[/tex]
65 is 20% of x[tex]\bold {\underline{SOLUTION}}[/tex]
65 / 20 = x
[tex] \displaystyle\frac{65}{20} \times 100[/tex]
[tex] \displaystyle \: \frac{65}{2 \cancel0} \times 10 \cancel0[/tex]
[tex] \displaystyle \frac{65 \times 10}{2} [/tex]
[tex] \displaystyle \frac{650}{2} [/tex]
[tex]\displaystyle \frac{ \cancel {650}}{ \cancel2} [/tex]
x= 325 Answer
hence option B is correct.
if 65 is 20% of X then x = 325
A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for π and round to the nearest hundredth.
Answer:
2.26 feet
Step-by-step explanation:
400/25=16
16/3.14=5.0955
5.0955^2=2.257
Solve for x. Please Help!
Answer:
x = 6
Step-by-step explanation:
If 2 chords intersect then the product of the parts of one chord is equal to the product of the parts of the other chord , that is
4x = 2 × 12 = 24 ( divide both sides by 4 )
x = 6