Answers
We have that if the sin 30 degrees is 1/2 then the cos __60=1/2.__
Option C
TrigonometryQuestion Parameters:
The sin 30 degrees is 1/2
Generally, the Trigonometry of a right angle triangle gives values for sin, cos, tan.
Using the triangle we have that
if the sin 30 degrees is 1/2 then the cos60=1/2
Therefore, if the sin 30 degrees is 1/2 then the cos __60=1/2__.
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Related Questions
Trish has 9 boxes of pencils. Raj has 2 boxes of pencils. There are 10 pencils in each box. How many they have
Answers
Raj has 20 pencils
A ball is thrown downward from a window in a tall building. its position at time t in seconds is s = 16t^2 + 32t, where s is in feet. how long (to the nearest tenth) will it take the ball to fall 211 feet
Answers
S = 16t^2 + 32t
211 = 16t^2 + 32t
Then, turn into a quadratic equation
0= 16t^2 + 32t - 211
Afterwards, simply find the roots of the equation by using your calculator formula 01.
you will be getting two answers,
t = 2.7666.... (correct to 3 significant figures)
t = -4.7666...(reject this because of its negative sign)
therefore, it will take 2.78 for the ball to fall 211 feet.
a choir needs new robes for each of its 46 singers. Each robe costs $32.00. What will be total cost for all 46 robes?
Answers
46 * 32 = $1472
Each time Gertrude gets paid, 10% of her pay check goes to taxes. Last week, $ 40 was taken out of her check for taxes. What was the amount of Gertrude's pay check last week?
Answers
Gertrude's paycheck last week was $400.
Explanation:To find the amount of Gertrude's paycheck last week, we can set up an equation using the information given. Let's assume her paycheck amount is represented by 'x'. According to the problem, 10% of her paycheck, or 0.10x, is taken out for taxes. This amount is given as $40. So we can write the equation as 0.10x = 40. To solve for x, we divide both sides of the equation by 0.10: x = 40 / 0.10 = $400.
5/8(x-1/3)=5/12 can someone help me figure out what x is?
Answers
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer: x = 1
The above answer is correct, this answer I am sure is correct, I hope you can adopt.
A music download service charges a flat fee each month and $0.99 per download. The total cost for downloading 27 songs this month is $42.72. how much is the flat fee
Answers
Answer:
$15.99
Step-by-step explanation:
A music download service charges a flat fee each month and $0.99 per download.
Charge of downloaded 27 songs in this month = 0.99 × 27
= $26.73
The total cost for downloading 27 songs this month = $42.72
Therefore, the flat fee = 42.72 - 26.73 = $15.99
Flat fee for the month is $15.99.
A family has a monthly income of $3300 and plans to spend 11% of this amount on entertainment. How much will be spent on entertainment?
Answers
Hoped i helped
What are the solutions of 3x+5=2x-7
Answers
3x + 5 = 2x - 7
Subtract 2x from both sides.
1x + 5 = -7
Subtract 5 from both sides to have the variable by itself.
1x = -12
Divide 1 to both sides to find the value of x.
x = -12
Now we need to check.
3(-12) + 5 = 2(-12) - 7
-36 + 5 = -24 - 7
-31 = -31
Since both sides or the same you now know that -12 is the solution.
I hope this helps love! :)
[tex]x+5=-7[/tex] Subtract 2x from both sides
[tex]x=-12[/tex] Subtract 5 from both sides
[tex]3(-12)+5=2(-12)-7[/tex] Plug in for X
[tex]-36+5=-24-7[/tex] Distribute 3 and 2 into -12
[tex]-31=-31[/tex] simplified by + and -
a patient is to take 2 4/5 tablespoons of medicine per day in 2 equally divided doses. how much medicine is to be taken in each dose?
Answers
Convert 2 4/5 into the improper fraction 14/5, and then divide this result by 2:
7/5, or 1 2/5, tablespoons of medication, twice per day (total 2 4/5 tablespoons)
PLEASE HELP ASAP!!(3 QUESTIONS) I WILL GIVE BRAINLIEST AND 5 STARS!!
Identify the corresponding word problem given the equation: 5.59x = 27.95
A) How many boxes of nectarines can you buy with $27.95.
B) How much does a box of nectarines cost if five boxes costs $27.95?
C) How much does five boxes of nectarines cost if one box costs $5.59?
D) How many boxes of nectarines can you buy with $27.95 if one box costs $5.59?
Tom has saved $128, and his goal is to save $500. How much more must he save?
Which equation BEST represents this situation?
A) x + 128 = 500
B) x - 128 = 500
C) x + 500 = 128
D) x - 500 = 128
8, minus some number divided by 3, equals 6. Find the number.
A) -14/3
B) 4
C) 6
D) 2/3
Answers
Answer:
The first one is
1.) D)How many boxes of nectarines can you buy with $27.95 if one box costs $5.59?
2.) is B
3.) D
Step-by-step explanation:
What is the product of -2 1/2 and -3 1/3
A. -8 1/3
B. -6 1/6
C. 6 1/6
D. 8 1/3
Answers
= -5/2 x -10/3
= 25/3
= 8 1/3
answer
D. 8 1/3
How much greater is the weight of the large box at 3/4lb than the small box at
1 1/8lbs
Answers
[tex]\bf \stackrel{mixed}{1\frac{1}{8}}\implies \cfrac{1\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{9}{8}}\\\\ -------------------------------\\\\ \cfrac{9}{8}-\cfrac{3}{4}\impliedby \textit{our LCD is then 8}\implies \cfrac{(1\cdot 9)~~-~~(2\cdot 3)}{8} \\\\\\ \cfrac{9-6}{8}\implies \cfrac{3}{8}[/tex]
How to find the slope of (20/8) and (9,16)?
Answers
ulia spends $6.25 on gas for her lawn mower. She earns $17.00 mowing her neighbor's yard. What is Julia's profit?
Answers
17.00-6.25=10.75
What is the value of the expression below?
−5+∣9−11∣
Answers
first, you would find the absolute value
|9-11|= |-2|=2
then the problem looks like this
-5+2= -3
So, the answer is negative three
Thus, -5 + |9-11| = -5 + 2 = -3 (answer)
1/10 of 400,000 is 10 times as much as?
Answers
find the inverse of f(x) = 2x + 3
Answers
f−1(x)=x−32
Explanation:Follow the steps:
f(x)=2x+3
1- replace f(x) with y →y=2x+3
2- simply switch x and so the equation looks like x=2y+3
3- use algebra to solve for y. (isolate y)
x=2y+3
x−3=2y
x−32=y
This is the inverse function and is written as
f−1(x)=x−32
if two positive fractions are less than 1, why is their product also less than 1?
Answers
For example.
1/ 2 = is 50% of a whole.
When you multiply 1/2 by 1/2 you do not get the 100% of the whole because you are only getting 50% of the 50% of the whole, which in turn is equivalent to 25% of the whole.
1/2 * 1/2 = 1/4 of the whole.
The only time you can get a result of 1 and above where two fractions are less than 1 is when you perform addition of these fractions.
1/2 + 1/2 = 1 - ALL CREDITS GO TO @TASKMASTERS!
Here's an example :
5 * 1/5 = 1
1<5
When you start with something that's less than 1 ( and positive), and you multiply it by a fraction, you get part of that positive fraction, so it will never be greater than 1.
Hope this helps!
I'm sorry if this is confusing ... it's too late for my brain to work at max level.
Which set of fractions is ordered from greatest to least? 11/12, 7/10, 5/6
Answers
You have 120 pieces of fabric to make a blanket. Each piece of fabric is a square with a side length of 6 inches. You use as many squares as possible to make a square blanket. What is the area of the blanket? How many pieces are left over? How many more pieces of fabric would you need to increase the size of the blanket?
Answers
A. Since the blanket to be made is a square, therefore there should be equal number of fabric on all sides. So find the square root of 120.
number of fabrics = sqrt (120) = 10.95
Since number of fabrics cannot be decimal, therefore the largest number of pieces of fabric per side is 10 (length and width).
Since each fabric measures 6 inches, so total length per side is 60 inches. The area is therefore:
Area of blanket = 60 in * 60 in = 3600 square inches
B. Since the two sides, length and width, has same number of fabrics which is 10, so total number used is = 10 * 10 = 100
So the left-over are 120 – 100 = 20 fabrics left over
C. To create a bigger blanket, it would require 11 fabrics per side, so total number used would be = 11 * 11 = 121
Therefore only 1 additional piece of fabric is required.
A Color printer will print 8 pages per min. How many mins. will it take to report that has 136 pages?
Answers
round 101 to the nearest ten
Answers
101 rounded to the nearest ten is 100.
What is Rounding Off?Rounding off of a number is defined as the simplification of the number by keeping the value of the number same but is made closer to the next number.
Rounding can be done for whole numbers as well as decimals.
Here the given number is 101.
101 is between 100 and 110. We can round it to either of these two.
We have to round it to the nearest ten.
The number in the tens place is 0.
Look at the number next to tens place, which is at ones place.
The digit at ones place is 1, which is less than 5.
So keep the number in tens place as such and add 0 to ones place.
So the number is 100.
Hence 101 when rounded to nearest ten is 100.
Learn more about Rounding Off Numbers here :
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a candle maker has 4 1/2 pounds of wax. He wants to cut the wax into pieces that are 2/3 pound each. How many 2/3 pound pieces can he divide the wax into?
Answers
Answer:
[tex]6\frac{3}{4}[/tex] pieces.
Step-by-step explanation:
Let x represent number of pieces.
The amount of wax used in making x pieces would be [tex]\frac{2}{3}x[/tex].
We have been given that a candle maker has 4 1/2 pounds of wax. We can represent this information in an equation as:
[tex]\frac{2}{3}x=4\frac{1}{2}[/tex]
[tex]\frac{2}{3}x=\frac{9}{2}[/tex]
[tex]\frac{3}{2}*\frac{2}{3}x=\frac{3}{2}*\frac{9}{2}[/tex]
[tex]x=\frac{27}{4}[/tex]
[tex]x=6\frac{3}{4}[/tex]
Therefore, the candle maker can make [tex]6\frac{3}{4}[/tex] pieces.
Cheryl is moving to a new house. Her old house is 3 kilometers and 457meters from her new house. How many meters is her old house from her new house.
Answers
Answer:
Her old house is 3000m+457m = 3457m from her new house.
Step-by-step explanation:
Conversion of units problems can always be modeled as a rule of three problem.
Rule of three problem:
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In the case of a conversion of units problem, the measures are:
- the value in one unit
- the value in another unit
As the value of the first unit increases, so will the value of the second unit. It means that in a conversion of units problem, we will always have a direct rule of three.
The problem states that Cheryl's new house is 3 kilometers and 457meters from her old house. The problem wants to know this distance purely in meters, so we have to convert 3km to meters. 1km = 1000m, so:
1km - 1000m
3km - xm
x = 1000*3
x = 3000m
Her old house is 3000m+457m = 3457m from her new house.
What is another way to write 9×200?
Answers
9's prime factorization is 3², and 200 breaks into 2³x5², so the full prime factorization of 9x200 is 2³ x 3² x 5². Any multiplicative combination of those prime factors will give us another way of expressing 9x200. For example, we could take two of the 2's and one of the 5's to get 2 x 2 x 5 = 20 for our first term, and use the rest (2, 3², and 5), to make 2 x 3² x 5 = 90; Checking our work, 20 x 90 = 9 x 200 = 1800, so that would be another valid way of expressing the product.
Jared is 10 years old and peter is 15 years old they are brothers . Together they run 150 yards . How far does each brother run
Answers
Answer: About 70 yards :D.
Hope this helped
Ted can wax a car in 20 minutes or wash a car in 60 minutes. tom can wax a car in 15 minutes or wash a car in 30 minutes. what is each man’s opportunity cost of washing a car?
Answers
what is 3a^2 +a^2 added to a+6?
Answers
Hope this Helps :D
Answer:
Step-by-step explanation:
not sure if i am doing it right help please?
3a^2+a^2+a+6
3a^4+a+6
Kate is 17 years old, and Victor is 12 years younger. In how many years will Kate be twice as old as Victor?
Answers
Answer:
In 7 years
Step-by-step explanation:
Victors age: 17-12=5
Kate's age:17+7=24
Victors age:5+7=12
24 divided by 2 equals to 12.
~~~~~~~
Check your answer
5+12=17
24-7=17
12-7=5
12*2=24
The temperature of dry ice is -109.3°F, which is 183.6°F less than the outside temperature. What is the outside temperature?
Answers
To find the outside temperature, add the difference of 183.6°F to the dry ice temperature of -109.3°F, yielding an outside temperature of 74.3°F.
Explanation:The student is asking to find the outside temperature given that dry ice temperature is -109.3°F and that the outside temperature is 183.6°F higher than the dry ice. We can solve this by adding the temperature difference to the dry ice temperature.
Let's denote the outside temperature as T.
T = (-109.3°F) + 183.6°F
Now, let's perform the addition:
T = 74.3°F
Therefore, the outside temperature is 74.3°F.
Final answer:
The outside temperature can be calculated by subtracting 183.6°F from the temperature of dry ice (-109.3°F).
Explanation:
The outside temperature can be calculated by adding the temperature difference to the temperature of dry ice. The temperature difference is given as 183.6°F less than the outside temperature, which means we need to subtract 183.6°F from the temperature of dry ice (-109.3°F). So, the outside temperature would be -109.3°F + (-183.6°F) = -293.9°F.