Because sine and cosine are complements, we will have that:
cos(60°) = 1/2.
Which statement is true?First, because cosine and sine are complements, we know that:
cos(x) = sin(x + 90°).
cos(90° - x) = sin(x).
We will use the second relation, with x = 30° we can write:
cos(90° - 30°) = sin(30°)
cos(60°) = sin(30°)
And we know that sin(30°) = 1/2
Then we also have cos(60°) = 1/2.
So the correct option is d.
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Answer:
D- cos 60° = 1/2, because the cosine and sine are complements
Step-by-step explanation:
Got it right on test:)
If cos(t) =
−
1
2
and tan(t) < 0, find sin(t) and cos(-t)
Answer:
cos theta=-1/2
theta=cos-¹(-1/2)=120
tan theta=tan 120=-√3
sin theta=sin120=√3/2
cos(- theta)=cos theta=cos 120=-1/2
PLEASE HELP
I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
The end behavior of a function describes the behavior of the graph of the function at the "ends" of the x-axis.
The given function is ⇒⇒⇒ f(x) = 2x³ – 26x – 24
the given equation has an odd degree = 3,
and a positive leading coefficient = +2
So, the end behavior of the given function
f(x) → +∞ as x→+∞
f(x) → -∞ as x→-∞
1/3x - 8 = 32 *
pls help
Answer:
120
Step-by-step explanation:
1/3x-8=32
1/3x=32+8
1/3x=40
x=40/(1/3)
x=(40/1)(3/1)
x=120/1
x=120
Ron works 8 hours a day, 5 days a week, $15 dollars an hour, for 12 weeks.
What is his gross pay?
Answer:
If Ron works 8 hours a day and get's paid $15 an hour
for 5 days a week and works for 12 weeks
1 hour = $15
8 hours = $120
So Ron get's paid $120 a day
So if he works 5 days a week then
120 x 5 = $600
Ron get's paid $600 a week
So if Ron works for 12 weeks then
600 x 12 = $7,200
Ron's gross pay is $7,200
Step-by-step explanation:
the difference of products of a fraction with 5 whole 7/8 and 3 whole 3/4 is 11.Find the fraction.
Answer:
88/17
Step-by-step explanation:
5x · 7/8 - 3x · 3/4 = 11
35x/8 - 18x/8 = 17x/8
17x/8 = 11
17x = 88
x = 88/17
WILL MARK BRAINLIEST PLSS HELPPP.Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What
are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?
Answer:
first choice
Step-by-step explanation:
Fractions that are not equivalent to 1/5
Answer: 3/10
Step-by-step explanation:
1/5 isn’t equivalent to it
Answer:
Just random ones?
1/2, 1/3, 1/4, 1/6, 1/7
Step-by-step explanation:
PLS HELP MEEEEE REEEEEEE
Answer:
$954.78
Step-by-step explanation:
Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.
879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)
La un spectacol s-au vandut 2500 de bilete de trei categori 15 */. cu pretul de 14 lei biletul ,56*/. cu pretul de 10 lei biletul,iar restul cu pretul de 5 lei biletul.Calculati suma totala incasata
Answer:
the total amount collected is 2,665
Step-by-step explanation:
The computation of the total amount collected is shown below:
= price × number of tickets sold × price + number of tickets sold × price + price
= 14 × 15 × 10 + 56 × 10 + 5
= 2,100 + 560 + 5
= 2,665
Hence, the total amount collected is 2,665
HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?
a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t
Answer:
b. P = 56,382(1+0.012)^t
The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The population P after 2010 is an exponential growth function of the form:
[tex]P = P_{0} (1 + r)^t[/tex]
where P₀ is the initial population,
r is the annual growth rate as a decimal, and
t is the time in years.
Byu given information P₀ = 56,382,
r = 0.012, and
t is the number of years after 2010.
The equation that defines the population in Smalltown t years after 2010 is:
[tex]P = 56,382(1 + 0.012)^t[/tex]
Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
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What is 1/3 written as a decimal?
Answer:
0.3
Step-by-step explanation:
Answer:
0.33333. it goes on forever.
A grocery store sells 3 pounds of Granny Smith apples for $6.27. It sells 5 pounds of Red Delicious apples for $9.95. Which costs more per pound?
Joe is moving out of his apartment. The elevator can carry, at most, 2500 poundsHe has identical boxes that are each 40 pounds. If Joe weighs 160 pounds, how many boxes can he put on the elevator ?
Answer:
58
Step-by-step explanation:
first we want to write an equation and that equation would be
2500=40x+160 now we solve for x
step 1 subtract 160 from each side
2340=40x
then we divide each side by 40
x=58.5
because he cant bring half a box he can only bring 58
1. Given A = πrl, make l the subject of the formula.
2. Given P =RT/V, make T the subject of the formula.
3. Given I =PRT/100, make T the subject of the formula.
4. Given V =πd^2h/4, make d the subject of the formula.
5. Given V = u + at, make t the subject of the formula.
6. Given T =A/R−r, make r the subject of the formula.
7. Given Q =R(B−T)/B, make B the subject of the formula.
8. Given P − mg =Mv^2/r, make:
a) v the subject of the formula.
b) m the subject of the formula.
9. Given m2 =a+b/a−b, make:
c) b the subject of the formula.
d) a the subject of the formula.
10. Given A =h(a+b)/2,express b as the subject of the formula.
11. R = √pm−q/q+cm, make m the subject of the formula.
12. Given n =1/d^2,make d the subject of the formula.
13. V = √a^2−x^2, make x the subject of the formula.
14. Given that P = r^2h, make h the subject of the formula.
15. If =brt/v−b, make r the subject of the formula.
Answer:
1. l= A/πr
2. T = PV/R
3. T = 100l/PR
5. t = v/u + a
Plz help me I don’t het this a question !!!
Answer:
C=50.24
Step-by-step explanation:
Formula for circumference with radius: 2[tex]\pi[/tex]r
r= radius
C=circumference
Now subsitute the variables with the values given.
Formula: 2[tex]\pi[/tex]r -> 2(3.14)(8)
C=50.24
heres your daily dos of math
y = -4 - (-11)
Answer:
The answer is 7............
Answer:
y = -4 - (-11)
Since all the variables and constants are together on each side, just solve as is.
y = -4 - (-11)
y = 7
Step-by-step explanation:
hope this helps:)
find this ok. do not wrong answers I will report it
Answer:
your answer will be 13/5(x-5)
Step-by-step explanation:
hope it helps bye
Answer: 13 /5x−25
Step-by-step explanation: 8 /5x−25 − 6 /30−6x
-78x+390 /−30x2+300x−750
−13x+65 /−5x^2+50x−125
13(−x+5) /5(−x+5)(x−5)
13 /5x−25
Students plan to decorate the school's flagpole with strings of lights. One end of each string of lights will be attached to the top of the flagpole, and the other end will be attached to the ground. Flagpole String of lights String of lights 15 ft WOOOOO00000000000UUUUU QO0Q000 H8 ft 8 ft Which measurement is closest to the length of one string of lights in feet? (c) 16 ft A 17 ft D 23 ft B 13 ft
Answer:
the answer will be 17 ft
Step-by-step explanation:because if you use the pythagorean theorem you will get 17.
Answer:
C. 16
Step-by-step explanation:
Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Answer:
26 cm
Step-by-step explanation:
To find the area of a triangle, you must use the formula A=1/2xbxh.
For this triangle, the base is 13 and the height is 4. So, multiply the 13 by 4 to get a total of 52, and then divide by 2 to get your final answer of 26.
What is the slope? ???????
Answer:
1/2
Step-by-step explanation:
Katelin is the pastry chef at the Brown Palace Hotel. She is making scones for their afternoon tea. Her recipe serves 6 people, but she needs to make
enough for 50 servings. The recipe calls for cup of sugar. How many cups of sugar will she need in all?
The total number of cups required to make the recipe for 50 people will be equal to 8.3 cups.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the provided instructions in the question,
The recipe is for 6 people in which 1 cup of sugar is required.
Total number of people = 50
Cup of sugar required for the recipe = 50/6 = 8.33 cups.
It means that 8.33 cups of sugar is required to make the recipe for 50 people.
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What are some things we can comment about this image? Be as specific as possible!
Which of the following scenarios represents a possible impulse purchase?
Tim budgets for his scooter and decides to purchase the scooter through a dealership offering 0% interest to first time buyers.
Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.
Tim researches interest rates on the purchase of a new scooter before deciding against making the purchase.
Tim researches interest rates on the purchase of a new scooter before deciding to make a purchase.
Answer:
Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.
Step-by-step explanation:
I had the same question and got it correct. Hope I helped. :)
Answer:
Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.
Step-by-step explanation:
He did not weigh all the assets
Helpp (please tell me if you can’t see the numbers so I can tell you them)
Answer:
-6 is the y coordinate
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, QR = 71 feet, and SQ = 50 feet. Find the measure of ∠R to the nearest degree.
Answer:44.767=45
Step-by-step explanation:
sinR=
71
50
R=\sin^{-1}(\frac{50}{71})
R=sin
−1
(
71
50
)
R=44.767\approx 45^{\circ}
R=44.767≈45
∘
Answer:
45
Step-by-step explanation:
What two methods are the best choices to factor this express
4x2 - 26x + 30
Factor by grouping.
Factor out the GCF.
o Use the difference of squares rule.
Use the perfect square trinomial rule.
Correct method to factor this expression are:
Factor by grouping.
Factor out the GCF.
What is factorization?A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.
The equation becomes:
= 4x² - 26x + 30
= 2 (2x² - 13x + 15)
= 2 (2x² - 10x - 3x + 15)
= 2 {2x (x - 5) - 3 (x - 5)}
= 2 (2x - 3) (x - 5)
Thus, the two methods are the best choices to factor this express are:
Factor by grouping.
Factor out the GCF.
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please help me with this
Answer:
Try adding the percent of 5.
Step-by-step explanation:
(5 percent off 19.00 is 18.05 The difference is 0.95)
It might be ADDING in the situation
cause 19.00 + (5percent) = 19.95
Why: I think its adding a percent of 5
Because clue content.. And the clue was (total cost with service fee)
(total) is one of the context clues for addition or adding.
and it adding service fee.
so it wants an addition of the total cost with service fee.
HOPE I HELPED
Which expression is equivalent to 30c - 24d?
Answer:hmm 30c - 24d = 6d or 6c
Step-by-step explanation:
Help me number 4 asap
Answer:
B
Step-by-step explanation:
Answer:
the answer is b. -4y+1
Step-by-step explanation:
b -4y+1
Lance is an enthusiastic cyclist.
He uses an app on his phone to track each of his cycling sessions.
Below is shown some information about his last three.
In Lance’s last three cycling sessions.
(i) What was the shortest distance cycled?
(ii) What was the longest time that he cycled for?
(iii) Work out Lance’s cycling time.
Answer:
17.25 ; 1:01:13 ; 4 hours 47 minutes, 38 seconds
Step-by-step explanation:
From the picture attached :
The shortest distance cycled :
17.25 < 25.80 < 27.42
Hence, shortest distance cycled is : 17.25
Shortest cycling time :
1:01:13 < 1:50:05 < 1:56:20
Hence, shortest distance cycled is : 1:01:13
Total cycling time:
1:01:13 + 1:50:05 + 1:56:20
1 + 1 + 1 = 3 hrs
01 + 50 + 56 = 107 = 107/60 = 1 hr 47 minutes
13 + 05 + 20 = 38 seconds
Total cycling time :
(3 + 1 hr 47 minutes + 38 seconds) = 4 hours 47 minutes, 38 seconds