Answer:
θradians sin(θ)
3π/2 -1
Step-by-step explanation:
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The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,
sin(270°) = sin(3π/2) = -1
Also, if the trigonometric function is needed to be changed then we can write,
sin(3π/2) = cos(π) = cos(180°) = -1
Hence, the trigonometric function and angle are equivalent to sin(270°).
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whats is 8:55 after 25 minutes
Find the perimeter. Simplify the answer.
Answer:
21u-26
Step-by-step explanation:
add all the side lengths together: 7u + 3u -10 + 6u - 8 + 5u - 8 = (7 + 3 + 6 + 5)u + (-10 -8 -8) = 21u - 26
HURRY I NEED IT FOR 3rd GRADE MATH
Whats 73 + 82
Answer:
155
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
73
+82
155
What is the missing divisor?
966 divided by ?=161
Answer: its 6
Step-by-step explanation: just divide 966 by 161 and the answer would be 6
How many kilograms would the Beagle be?
33 kg
5 kg
15 kg
8 kg
WILL MARK BRAINLY NO BOTS
Answer:
I think it would be 15 kg I'm not sure
Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.
Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
What is Compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given monthly income of Ron is $3,142.23
Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.
Total amount he contribute in 40 years paying 5.5% compounded monthly is given by
interest rate(r) = 0.055/12
time period = 40 years = 480 months
Principal amount = $314.223
Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]
Substitute, we get,
= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]
Thus, future value is $547074.681009.
After retirement his monthly income when he has $547074.681009 amount.
P = (A.i/2)/(1-(1+i/12)⁻ⁿ)
Putting values, we get,
P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰
P = $3763.25
He will receive a monthly income of $3763.25.
But given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.
So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74
Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
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1). A home repair crew charges seventy-five dollars per day plus two hundred fifty-five
dollars for each hour the crew works. One day the crew works c hours and charges a
total amount of one thousand, six hundred five dollars. How many hours does the crew
work?
Answer:
Approx 3 hours.
Step-by-step explanation:
750 + 255c = 1605
255 c = 855
c = approximately 3 hours.
Answer:
The crew worked 6 hours.
Step-by-step explanation:
$255 x 6 = $1530
Add the "Per Day Fee" of $75
$1530 + $75 = $1605 Dollars
Highlight and name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.
Step-by-step explanation:
Diagram 1
ΔALP ≅ ΔMLN by ASAΔANO ≅ ΔMPO by AAS (angle O is common)Diagram 2
ΔMQW ≅ ΔSRW by SSSΔMQR ≅ ΔSQR by SSS (QR is common side)Diagram 3
ΔAGR ≅ ΔOGR by SSSΔARO ≅ ΔARF by HLDiagram 4
ΔGOS ≅ ΔGTR by ASA (∠G is common)ΔSTU ≅ ROU by AAS (∠U is congruent as vertical and RO = ST)can you only give brainliest on your own question?
Answer:
im sorry i dont know but you can try
Step-by-step explanation:
Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)
Answer:
t=(v-u)/a
hope it will help you
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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The slope of the given line is its constant of proportionality ~
so, let's find the slope ~
[tex] \sf\dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \sf \dfrac{4 - 0}{1 - 0} [/tex][tex] \sf 4[/tex]The required value is ~ 4
answer dis please
Aiko3han owo
Answer:
b
Step-by-step explanation:
(2x-1) (x+3)
Expand
Answer:
2x^2+5x-3
Step-by-step explanation:
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
What is the surface area of the cylinder with height 8 km and radius 4 km? Round
your answer to the nearest thousandth.
The solution is: the surface area of the cylinder is 301.44 km².
Here, we have,
from the given diagram, we get,
For surface area of a cylinder:
A = 2(π) × (radius) × (height) + 2(π)×(radius squared)
For the first half of that equation:
2(π) × (radius) × (height)
2 × (3.14) × (4) × (8)
= 200.96 km²
Now the second half of that equation, the area of the circle ends:
2(π)×(radius squared)
= 2 × (3.14) × (4) × (4)
= 100.48 km²
Add them up:
200.96 km² + 100.48 km² = 301.44 km²
Hence, The solution is: the surface area of the cylinder is 301.44 km².
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There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?
Answer:
35/72
Step-by-step explanation:
The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent.
Answer: The percent of increase is 66.67%.
Step-by-step explanation:
Find the percent of increase of baseball cards.
Step 1: Subtract the starting value from the final value.
65 - 39 = 26
Step 2: Take the value you get and divide it by the starting value.
26 ÷ 39 = 0.666667
Step 3: Multiply what you get by 100.
0.666667 × 100 = 66.6667
Step 4: Round what you get the nearest hundredth of a percent.
66.6667 → 66.67%
What is the value of the function y= 2x– 3 when X=-1?
-5
-1
2
3
Answer:
-5
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
A. b ≤ -3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
C
Step-by-step explanation:
After adding 17 to a number, x, you get 23.
The equation that represents the above statement is .
The value of x in the equation is .
Answer:
The equation that represents the above statement is 17+x = 23
The value of x in the equation is 6
Step-by-step explanation:
17+x = 23
x = 23 - 17
x = 6
Suchitra works at the local supermarket. She gets paid $22.50 per hour. Her time card
is shown below
Day In Out
Monday 9:00 a.m. 5:00 p.m.
Tuesday 9:00 a.m. 6:00 p.m.
Wednesday 8:30 a.m. 5:30 p.m.
Thursday 9:00 a.m. 4:30 p.m.
Friday 9:00 a.m. 4:00 p.m.
a How many hours did Suchitra work this week?
b .Find her weekly wage
Answer: she worked 31 hours ( I believe so)
Step-by-step explanation: hope that helps
someone please help me asap
Answer:
I only can see that one of them are B i don't know for the rest
Step-by-step explanation:
-8 - (-3) find the sum
Answer:
Step-by-step explanation:
Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
pls simplify
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND GETS IT RIGHT!!!
Hello there!
Grace has $105 for pizzas and a cake.
She sets aside $25, so we subtract:
105-25=80
So she has $80 for pizzas.
Now, to find out how many pizzas Grace can buy, we take $80 and divide it by the price of one pizza (9.25):
The approximate answer is 8.6
Hope it helps
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[tex]SilentNature[/tex]
What is a logarithm.
Answer:
Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos
Step-by-step explanation:
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52
Answer:Let's assume x be the smaller number.
Given that, The greater number is 4 more than the smaller number.
So, greater number= x+4.
It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,
x + (x + 4) = 52
Step-by-step explanation:
si el examen tenia 44 puntos y saque 40 ¿Que nota tengo?
Answer:
90%
Step-by-step explanation:
Help me please!! This is timed and I’m stuck
Answer:
D is the correct answer
Step-by-step explanation:
Answer:
B. 13/2Step-by-step explanation:
Given equation:
2x² + 7x - 15 = 0It has roots r and s.
We know how to find the sum and product of roots.
Sum of roots:
r + s = -7/2Product of roots:
rs = -15/2Use the above two equations to work out the value of r - s:
[tex]r - s = \sqrt{(r - s)^2} =[/tex][tex]\sqrt{(r+s)^2-4rs} =[/tex][tex]\sqrt{(-7/2)^2-4(-15/2)} =[/tex][tex]\sqrt{169/4} =13/2[/tex]Correct choice is B
40 cookies are in a jar. 1/5 of the cookies are chocolate cookies. Someone eats 1/4 of the chocolate cookies. How many cookies remain in the jar?
Based on the number of cookies in the jar and the number eaten by the person, the number of cookies remaining is 38 cookies.
The total number of chocolate cookies is:
= Total cookies x Percentage that is chocolate
= 40 x 1/5
= 8 cookies
Someone eats 1/4 of this which is:
= 8 x 1/4
= 2 cookies
The number of cookies left is:
= Number of cookies - Number of cookies eaten
= 40 - 2
= 38 cookies
In conclusion, there are 38 cookies remaining.
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[tex](x+7)(x-2)[/tex]
Answer:
x^2+5x-14
Step-by-step explanation:
Using FOIL method, we get (x^2)+(-2x)+(7x)+(-14), which is just x^2+5x-14
FOIL = First, Outer, Inner, Last
plzz help me no link plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
pls mark brainliest if this helped :)