Answer:
pi/3, 5pi/3
Step-by-step explanation:
We can see that when cosine is at 1/2, the angle measures are pi/3 degrees and 5pi/3 degrees. You can use a unit circle to find this. You can also find arccos(1/2), but that will only give you the value pi/3, not 5pi/3.
We can plug these in to find that they are indeed equal to 1/2.
The x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.
Here, we have,
To find the x-value that corresponds to a y-value of 1/2 between π and 2π for the equation y = cos(x), we can use the inverse cosine function (also known as arccosine or cos⁻¹).
The inverse cosine function will give us the angle whose cosine is a specific value.
In this case, we want to find the angle whose cosine is 1/2.
Using the inverse cosine function, we can write the equation as:
x = arccos(1/2)
To solve this equation, we need to evaluate the inverse cosine of 1/2. In general, the inverse cosine of a value returns an angle between 0 and π (180 degrees). In this case, we are interested in finding an angle between π and 2π.
The value of arccos(1/2) is π/3.
Therefore, the x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.
It's important to mention that the cosine function is periodic, so there are multiple x-values that can correspond to a y-value of 1/2. In this case, we have chosen the x-value that lies between π and 2π.
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Please HELP Write the graph's domain and range in interval notation.
Step-by-step explanation:
Domain: x€ [ -7;7]
Range : y€ [-6;4]
For the domain, the graph's x-values are from -7 to 7
For the range, the graph's y-values are from -6 to 4
1.) If you are dividing 1.7 by 8.5, how many places to the right will you need to move the decimal point in the divisor and dividend? a.) 1 b.) 2 c.) 3 d.) 0 2.) Find the quotient of 50 divided by 0.1. a.) 0.5 b.) 5 c.) 50 d.) 500 3.) In the division problem 0.86 ÷ 0.02, What would be the new dividend once you move the decimal as needed? a.) 8.6 b.86 c.) 43 d.) .2 4.) 6.9 divided by .3 is . a.) 2.3 b.) 23 c.) .23 d.) 123 5.) When 75.64 is divided by 0.61, the quotient is . a.) 124 b.) 125 c.) 134 d.) 126 6.) 7.26 ÷ 0.22 = N a.) 33 b.) 0.33 c.) 0.31 d.) 0.35 7.) 5.12 ÷ 0.10=n a.) 51.2 b.) 5.12 c.) 512 8.) Glen bought 0.75 meter of pink ribbon, which she will cut into 0.25meter strips for her Project in EPP. How many pieces did she make? a.) 3 b.) 4 c.) 5 d.) 6 9.) A bottle of medicine contains 27.5 ounces. I take 1.65 ounces each dose. How many doses are in th bottle? a.) 16.67 doses b.) 16 doses c.) 61 doses d.) 66 doses 10.) If Pathy earns Php256.25 for gardening. If she worked 20.5 hours this month, then how much did she earn per hour? a.) Php 12.5 b.) Php 125.00 c.) Php 25.00 d.) Php1.25 11.) 5.26 times 10 is . 12.) a.) 52.6 b.) 5.26 c.) .526 Divide 59 ÷ 7. Round off the answer to two places of decimals. d.) 5,260 a.) 8.44 b.) 8.53 c.) 8.43 d.) 8.42 13.) Which of the following mathematical equation has a quotient of 6.78? a.) 61÷ 7 b.) 61÷9 c.) 6.1÷ 9 d.) 9 ÷ 61 14.) How many 7 does 86 has? a.) 12 b.) 13 c.) 11 d.) 10 15.) What would be the remainder if you divide 59 by 9? a.) 3 b.) 5 c.) 6 d.) 1 16.) When the divisor is bigger than the dividend,the quotient is . a.) decimal in form b.) whole number c.) zero d. one 17.) 4÷9 = n a.) 0.4 b.) 0.5 c.) 0.6 d.) 07 18.) Which mathematical sentence below has a quotient of never ending decimal? a.) 24 ÷ 27 b.) 25 ÷ 25 c.) 1 ÷ 5 d.) 100 ÷ 500
All the answers to the given fraction problems are;
1) A; 1
2) D: 500
3) B: 86
4) B: 23
5) A: 124
6) A: 33
7) A: 51.2
8) A: 3
9) A: 16.67 doses
10) A: Php 12.5
11) A: 52.6
12) C: 8.43
13) B: 61 ÷ 9
14) A: 12
15) B: 5
16) A: decimal form
17) A: 0.44
18) A: 24 ÷ 27
1) 1.7 ÷ 8.5
We need to change them to whole numbers by shifting the decimal points one place to the right to get; (17/85)
2) 50 ÷ 0.1
Shift decimal one place to the right to get;
500/1
Quotient = 500
3) 0.86 ÷ 0.02
The dividend is usually the numerator. Let us shift both numerator and denominator by two decimal places to the right to get; 86 ÷ 2
Thus, new dividend = 86
4) 6.9 ÷ 0.3
Move decimal points one place to the right to get;
69 ÷ 3 = 23
5) 75.64 ÷ 0.61
Move decimal points two places to the right to get;
7564 ÷ 61
Numerator written as a factor of denominator gives;
(124 × 61)/61
Quotient = 124
6) 7.26 ÷ 0.22
Move decimal points two places to the right to get;
726/22
Numerator written as a factor of denominator gives;
(33 × 22)/22 = 33
7) 5.12 ÷ 0.10
Move decimal points two places to the right to get;
512/10 = 51.2
8) A 0.75 m pink ribbon was cut into 0.25 m strips. Thus;
Number of pieces = 0.75/0.25
Move both decimals 2 places to the right to get;
75/25 = 3 pieces
9) A bottle contains 27.5 ounces
You take 1.65 ounces for each dose.
Number of doses per bottle = 27.5/1.65
Move decimal points two places to the right; 2750/165
Number of doses per bottle = 16.67 doses
10) She earned Php256.25 for gardening.
She worked 20.5 hours the month.
Amount earned per hour = 256.25/20.5
move decimal places two points to the right to get;
Amount earned per hour = Php 12.5
11) 5.26 times 10
move decimal place two points to the right to get;
(526 × 1/100) × 10 = 52.6
12) 59 ÷ 7
Nearest multiple of 7 to 59 is 8.
Thus, 59 ÷ 7 = 8³/₇
⇒ 8.43
13) The one that gives a quotient of 6.78 is;
61 ÷ 9
14) How many 7 does 86 have?
This is; 86 ÷ 7
Nearest multiple of 7 to 86 is 84 which is 12 × 7
Thus, there are 12 numbers of 7 in 86.
15) Remainder if you divide 59 by 9
Nearest multiple of 9 to 59 is 54 which is 9 × 6.
Remainder = 59 - 54 = 5
16) When divisor is bigger than the dividend, it means the denominator is bigger than the numerator and so the quotient is an improper fraction which is a decimal.
17) 4 ÷ 9 = 0.444
Approximating to one decimal place = 0.4
18) The correct mathematical sentence with never ending decimal is;
24 ÷ 27
Read more on simplifying fractions at; https://brainly.com/question/6109670
a room that needs to be tiled is 12 1/2 feet wide by 14 feet long. tiles that mesure 2x2 are $0.79 per tile. Tiles that measure 3x3 are 1.25 per tile. which size tile should be used for this project to save the most money? How many tiles would be needed? How much would you spend on them? HELP PLEASE!
Answer:
Step-by-step explanation:
Area of the room is 12.5(14) = 175 ft²
2x2 tiles are 4 ft²
175 /4 = 43.75 tiles so 44 will be needed
44($0.79) = $34.76
3x3 tiles are 9ft²
175/9 = 19.4444... so 20 will be needed
20($1.25) = $25.00
the larger tiles will cost $9.24 less than the smaller tiles.
Obviously some of the tiles will need to be cut to fit as the length and width of the room are not always a uniform number of tiles for either side.
did I click the right one ?
Answer:
no its b
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
$ 350 is shared in the ratio 2:5. The SMALLER share is
Answer:
$100
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 = 7 parts , then
$350 ÷ 7 = $50 ← value of 1 part of the ratio , then
2 parts = 2 × $50 = $100 ← smaller share
Use the given information to prove that CA = CB.
20 POINTS!!
The question and image??
Need help asap! Pls
Here is my solution, I hope it is helpful.
Answer:
x = 15
Step-by-step explanation:
Help help help help math math math
Answer:
55º
Step-by-step explanation:
The 125º angle makes a straight angle (180º) with the one next to it. This makes the angle next to it (adjacent angle) 55º. According to the rules of a transversal, the adjacent angle said above and angle 2 are alternate interior angles, making them equal.
I need help on this question pls
Answer:
t = 17.5 f = 12
Step-by-step explanation:
If MNOP is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:
[tex]90 = 4t + 20[/tex]
and
[tex]90 = 7f + 6[/tex]
Then solve both equations:
[tex]90 = 4t + 20 \\ 70 = 4t \\ 17.5 = t[/tex]
and
[tex]90 = 7f + 6 \\ 84 = 7f \\ 12 = f[/tex]
I hope that helps!
find all complex solutions of 3x^2-6x+1=0
Answer:
[tex]x=\frac{3+\sqrt{6} }{3}, \frac{3-\sqrt{6} }{3}[/tex]
Step-by-step explanation:
Let's see
[tex]\\ \rm\rightarrowtail 3x^2-6x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{36-12}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{24}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm 2\sqrt{3}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{3+\sqrt{3}}{6}[/tex]
HELP I'LL GIVE BRAINLY
Answer:
code is 4163
Step-by-step explanation:
x-35=27;x=64
-96=-8x;x=12
6=x/4 +2;x=16
76-3x=-29; x=31
code is 4163
Answer:
at least 8
Step-by-step explanation:
im from k12
the local store where tim shops charges a 7% sale tax for clothing complete the table by figuring the cost of jeans after tax is applied the first row is done
Answer:
$51.36
$77.04 i think
Step-by-step explanation:
Multiply the cost of the number of pairs of jeans by the sales tax amount, 7%.
cost of 2 pairs: 48 + 7/100 x 48 = $51.36
cost of 3 pairs: 72 + 7/100 x 72 = $77.04
Can someone please help me
Answer:
that is so hard sorry
The chart shows the sizes and prices of different sized boxes of Alex's favorite cereal.
Step-by-step explanation:
Compare the rates
Whichever has the smaller rate is the best deal.
remember, to be able to compare both cereal boxes they must have the same unit of measure (grams with grams, ounces with ounces, etc.)
Answer:
Price of box of cereal #1
---------------------------- = $ per ounce(or other unit)
Size of box #1 (in ounces,
or some other unit)
(f+g)(x)
f(x)= x-3, g(x)= 2x+8
Answer: 13x4+g
Step-by-step explanation:
Evaluate.
10 3/4 plus 8 3/4 subtract 6 1/2
Answer:
13
Step-by-step explanation:
add 3/4 and 3/4 to get 6/4 then get 1/2 times the bottom and the top but 2 to get 2/4 so then do 6/4 - 2/4 to get 4/4 or 1
add 10,8 to get 18 then subtract 6 to get 12 then all the 1 and you get your answer. Hope this helped
Answer:
13
Step-by-step explanation:
Convert 10 3/4
to an improper fraction.
43/4 + 8 3/4 − 6 1/2
Convert 8 3/4
to an improper fraction.
43/4 + 35/4 − 6 1/2
Convert 6 1/2
to an improper fraction.
434 + 354 − 132
Combine fractions.
78/4 + −13/2
Simplify each term.
39/2 − 13/2
Combine fractions.
13
NO LINKS OR FILES THINGS LIKE THAT!!!!!!
DUE TODAY!!!!!!
Write format:
(Quarters,Dimes)
No spaces
Example:
5 quarters, and 2 dimes should be written as (5,2)
Answer:
(4,8)
Step-by-step explanation:
One of the marked points on the black line is (4,8).
__
You will notice that the only combination worth $3.00 is (12,0).
(x3 + 9x2 + 1)(3x2 + 4x − 4)
the line passes through the point (6,1) and has a slope of -1/2 what is the point slope form and slope intercept form
Hi there! :)
We are given the slope of the line and a point that it passes through.
Using this information, we can write the equation in point-slope form:
y-y1=m(-x1)
y-1=-1/2(x-6)
y-1=-1/2x+3
Now, move -1 to the right, using the opposite operation:
y=-1/2x+3+1
y=-1/2x+4
And that's our equation. Hope it helps.
*Graceful Dreamer here to help
Good luck.
Can someone help me?help me please
Answer:
10 tomatoes (bottom fruit) - 9 kiwis (top fruit) = 1 tomato
10-9=1
Step-by-step explanation:
What is the distance between (5,2) and (0, -2)
Step-by-step explanation:
the distance between 2 points can be seen as the Hypotenuse of a right-angled triangle with the legs being the x and y coordinate differences.
and so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
distance² = (5 - 0)² + (2 - -2)² = 5² + 4² = 25 + 16 = 41
so, the distance is sqrt(41) = 6.403124237...
If a trailer carries 625 gags of cocoa. How many bags will 265 trailers carry?
Answer:
165,625 bags of cocoa.
Step-by-step explanation:
One trailer = 625 bags of cocoa, and if you have 265 trailers it means you will have to multiply 625 by 265.
solve each inequality and graph its solution
Answer:
Step-by-step explanation:
1) 11v > -66
divide by 11
V > -6
all of them are done like this
Grade 5 Module 3: End-of-Module REVIEW
Name
Date
1.
On Sunday, Sheldon bought 3 kg of plant food. He used 1 kg on his strawberry plants and used kg
for his tomato plants.
a.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how
you reached your answer.
Ur
orit,
Match
b.
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times.
f plant food as before. How much plant food will he need? Does he
Answer: a.) 1kg b.) He would need to buy 4 more kilograms (kg) of plant food.
Step-by-step explanation:
The question was not complete, I am not sure about the answer.
Correct me if I am incorrect.
You decide to reduce the amount you spend eating out by $150 a month and invest the total saved at
the end of each year in your retirement account. How much will the account be worth at 5% in 15
years? (Use Table 13.1.) (Do not round intermediate calculations. Round your answer to the
nearest cent.)
The type of savings is the saving of uniform amount with interest applied to the sum of the amount in the account.
The amount the account is worth after 15 years is approximately $38,841.1Reasons:
The amount saved per month = $150
Amount saved per year, A = 12 × $150 = $1,800
The interest rate on the account, i = 5%
The amount, F, in the account after 15 years is given as follows;
The uniform series compound amount factor formula is presented as follows;
[tex]\displaystyle F = \mathbf{\frac{A \cdot \left[ \left(1 + i \right)^n - 1 \right]}{i}}[/tex]
Therefore;
[tex]\displaystyle F = \frac{1,800 \times \left[ \left(1 + 0.05 \right)^{15} - 1 \right]}{0.05} \approx \mathbf{38,841.4}[/tex]
The amount the account is worth after 15 years to the nearest cent is approximately $38,841.4.
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0/35-31/35-2/35= Reduce if possible
Hi!
I will write it like this to make it easier to see:
[tex]\frac{0}{35} - \frac{31}{35} - \frac{2}{35}[/tex]
Seeing this, we can right away take the [tex]\frac{0}{35}[/tex] away to make it easier, because 0/35 is 0. Now, we are left with:
[tex]-\frac{31}{35} - \frac{2}{35}[/tex]
Since the denominators (the 35s) are the same, we do not have to mess with those. We simply subtract the numerators (-31 - 2) and we get -33. Therefore, your answer is :
[tex]-\frac{33}{35}[/tex]
Hope this helps! Have a great day! :D
Robin currently has 50 subscribers on her You.Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers.
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers?
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal?
Answer:
Part A :
Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.
Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.
Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri
Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.
Explanation :
I have calculated out Robins and Dimitris subscribers counts with math.
Part A: The attached image is for Robin but I didn't have time for Dimitri.
Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.
Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.
Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.
Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.
Rational exponents of 2161/3?
(2x + 3y)^2– (2x – 3y)^2
Hi,
(2x + 3y)² - (2x - 3y)²
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]
= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)
= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²
= 12xy
I hope it helped ✅(◠‿◕)
ya this person is a bot be careful
charissa2