Answers
Let y = cos⁻¹(x), so that cos(y) = x.
For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.
For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.
Then
tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3
Related Questions
Answer 1-2 please. highlight and number the answers as well.
Answers
Step-by-step explanation:
#1
Volume of aquarium:
V = 5.2*1.8*2 = 18.72 ft³#2
Volume of cylinder:
V = π*5²*9 = 706.86 in³ (rounded to the nearest hundredths)If I is parallel to m, solve for x.
Answers
Answer:
x = 16
Step-by-step explanation:
(8x - 14) = (5x + 34) since they are alternate exterior angles.
Solve for x:
8x - 5x - 14 = 34
3x - 14 = 34
3x = 34 + 14
3x = 48
x = 48/3 = 16
Haley invested $750 into a mutual fund that paid 3.5% interest
each year compounded annually. Find the value of the mutual
fund in 15 years.
Answers
The future value of the mutual fund after 15 years is equal to $1,256.55.
Given the following data:
Principal = $5,000Interest = 3.5% = 0.035Time = 15 years
To find the future value of the mutual fund after 15 years:
Mathematically, compound interest is given by the formula:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.P is the principal or starting amount.r is annual interest rate.n is the number of times the interest is compounded in a year.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
[tex]A = 750(1 + 0.035)^{15}\\\\A = 750(1.035)^{15}\\\\A = 750(1.6754)[/tex]
Future value, A = $1,256.55
Read more: https://brainly.com/question/22339845
what is 4x(1+8x) Distributed
Answers
Answer:
4x + 32x²
Step-by-step explanation:
4x(1 + 8x) ← multiply each term in the parenthesis by 4x
= 4x + 32x²
Polly buys 6.8 yards of fabric for $28.90. What is the cost per yard?
Please help? :)
Answers
Answer:
Polly has to pay $0.24 per yard of fabric.
Step-by-step explanation:
You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.
What is the value of 3x + 4y² when x = 5 and y = 3?
Answers
The value of 3x + 4y² when x = 5 and y = 3 is 51.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
3x + 4y²
We have to find the value of the expression when the value of x = 5 and that of y = 3.
For that, substitute x = 5 and y = 3 in place of x and y.
3x + 4y² = (3 × 5) + (4 × 3²)
= 15 + (4 × 9)
= 15 + 36
= 51
Hence the value of the expression is 51.
Learn more about Expressions here :
https://brainly.com/question/455361
#SPJ3
Answer:
51
Step-by-step explanation:
identify the constant term in this expression 28m + 4n - 12m +3 =
Answers
Step-by-step explanation:
28m+4n-12m+3
28m-12m+4n+3
16m+4n+3
max has x dollars. Keisha has four more dollars then max
Answers
Answer:
4x
Step-by-step explanation:
Simply add 4 and x, and that is 4x.
can someone please help me with this
Answers
Answer:
ABC = 113°
Step-by-step explanation:
If ABD is 70° and DBC is 43°
ABC is 70°+43° = 113°
A certain shampoo is available in two sizes. A 14.2-ounce bottle costs $4.99 . A 23.7 -ounce bottle costs 6.97 .
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Answers
Answer:
First bag unit price: 2.85
Second bag unit price : 3.40
first bag is better.
Step-by-step explanation:
divide the weight by cost
The sum of two numbers is x . If one of the numbers is 12, what is the other?
Answers
Answer:
x-12
Step-by-step explanation:
let us say that the other number is n. then we have n+12=x or n=12-x
PLEASE HELP ME OUT
Convert the following
35 mL = _____dL
950 g = _____ kg
Answers
Answer:
950 g = 0.95 kg
35 mL = 0.35 dL
hope this helps
Answer:
35 mL = 0.35 dL
950 g = 0.95 kg
Step-by-step explanation:
This is the answer because:
1) For mL to dL, divide the volume value by 100: 35/100 = 0.35
2) For g to kg, divide the mass value by 1000: 950/1000 = 0.95
Hope this helps!
Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,..
d(1)=
d(n)=d(n-1)+
Answers
Answer:
d(1) = 8
d(n) = d(n-1) + (-13)
I am a decimal number between 0.3 and 0.5. The digit in my hundredths place is 5 greaterthan the digit in tenths place, if the number in tenths place is 4 what will be the number?
Answers
Answer:
0.4
Step-by-step explanation:
it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4
Help me. Please and thank you.
Answers
Answer: Show the options
Step-by-step explanation:
1 point
10. Lisa owns a small business. There was a loss of $14 on Monday and a
profit of $18 on Tuesday. On Wednesday there was a loss of $6 and on
Thursday there was a profit of $7. Find the total profit or loss.*
$15 profit
$45 loss
$5 profit
$10 profit
Answers
Answer:
$5 in profit
Step-by-step explanation:
simple math
Tues: $18
Wens: -$6
Thurs: $7
-14+18=4
4 - 6 = -2
-2 + 7 = 5
$5 profit
Answer Quick! No links, please.
Answers
Answer:
#1
Slope: 1/2
Y Intercept: -3
#2
Slope: -3
Y Intercept: 2
Please answer<3
-2w - 5w =
Answers
Answer:
the answer is -7w
Step-by-step explanation:
-2w - 5w = -7
leana has left a mug of hot tea on the counter to cool off so she can drink it safely. She watches the steam rising up out of the tea. Which type of thermal energy transfer is occurring as the steam rises into the surrounding air?
Group of answer choices
conduction
sublimation
convection
radiation
Answers
The type of energy transfer that Leana is seeing as a result of steam rising is radiation.
Radiation is:
A method of energy transfer Works best in gas or open space between materialsThe steam rising from the tea is energy and it shows energy moving from the tea to the air. There is space between the tea and the air which means that it is radiation that the energy transfer is using as a conduit.
In conclusion, this statement describes radiation.
Find out more at https://brainly.com/question/4280253.
Solve the given equation
3x + 7 = 14 + 3x
Answers
Answer:
no solution.
Step-by-step explanation:
3x+7=14+3x
3x-3x=14-7
0=7
0 is not equal to 7, hence making this equation to have no solution.
Answer: no solution
Step-by-step explanation:
Thank you so much guys
Answers
Answer:
A 2kg body is moving a long a horizontal circular path of radius 2m with constant speed of 6m/s . please help
please help!! graph y=-4/3x+8
Answers
Answer:
put a point on (0,8) and (4,3)
` 10,800 for 3 years at 121 2% per annum compounded annually.
Answers
Answer:
15,173.22
Step-by-step explanation:
Looks like there's a typo in the question.
Should it be:
10,800 for 3 years at 12% per annum compounded annually.
-------------------------------
a = 10800 * (1.12)^3
a = 15,173.22
Find the value of x
A. 30
B. 40
C. 50
D. 60
Answers
Answer:
B. 40
Step-by-step explanation:
We can make this an equation since the entire thing equals 360
3x+110+90+40=360
3x=120
x=40
Answer is B
Brainliest please :)
-5/3 + 3 2/3 =
show all your work
Answers
Answer:
2
Step-by-step explanation:
Turn 3 2/3 into improper fraction: 11/3
11/3-5/3=6/3=2
What’s 9x12 divided by 6 x8
Answers
Answer:
60
Step-by-step explanation:
9*12=108
6*8=48
108-48=60
solve pls brainliest
Answers
Answer:
16 sq mm
Step-by-step explanation:
hope this helps
Can u give me a brainliest answer?
Area of the figure= 2x2 + 2x6
Area of the figure= 4+12
Area of the figure = 16m^2
Which conditional statement is always logically equivalent to the inverse?
Converse
Conditional
Conjecture
Contrapositive
Answers
Answer:
Converse
Step-by-step explanation:
Converse
Ghhhhhhhnbb tggy
How to reduce decimals to fractions.
Answers
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
What is the missing angle ?