If cos theta =12/13.find 1+cot theta
Answers
Answer:
17/5
Step-by-step explanation:
If cosθ = 12/13, find (1+cotθ)
As shown in the diagram attached,
Cotθ = 1/tanθ = adjacent/opposite
From the diagram attached,
cotθ = 12/a................... Equation 1
But we can find the value of a by using pythagoras theorem
13² = 12²+a²
169 = 144+a²
a² = 169-144
a² = 25
a = √25
a = 5.
Substitute the value of a into equation 1
Therefore,
cotθ = 12/5
(1+cotθ) =(12/5)+1 = (5+12)/5
(1+cotθ) = 17/5
Related Questions
Monique and Tara each make an ice-cream sundae. Monique gets 3 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate Chunk ice-cream for a total of 66 of fat. Tara has 1 scoop of Cherry and 3 scoops of Mint Chocolate Chunk for a total of 70 of fat. How many grams of fat does 1 scoop of each type of ice cream have?
Answers
Answer:
Cherry ice cream contains 19.75 grams of fat
Mint chocolate chunk ice cream contains 6.75 grams of fat.
Step-by-step explanation:
From the given question,
3C + 1M = 66 ............. 1
1C + 3 M = 70 ........... 2
Multiply equation 1 by 1, and 2 by 3 to have,
3C + 1M = 66
3C + 9 M = 210
Subtract,
1 M - 9 M = 66 - 210
-8 M = -54
Divide through by -8 to have,
M = 6.75
Substitute the value of M in equation 1,
3C + 1(6-75) = 66
3C = 66 - 6.75
3C = 59.25
C = 19.75
Thus,
1 scoop of the Cherry ice cream contains 19.75 grams of fat, while 1 scoop of the Mint chocolate chunk ice cream contains 6.75 grams of fat.
Beth has $100 to invest. She can invest this into a 7% simple interest account or into an account with 5% interest compounded quarterly. The table shows the amount that would be in each account over the first five years. Which of the following statements are true about the growth shown in the table? The simple interest shows linear growth because it is adding a constant amount. The simple interest shows exponential growth because it is adding a constant amount. The compound interest shows linear growth because it is multiplying by a constant amount. The compound interest shows exponential growth because it is multiplying by a constant amount.
Answers
Answer:
The answer is a and d
Step-by-step explanation:
The simple interest shows linear growth because it is adding a constant amount.
The compound interest shows exponential growth because it is multiplying by a constant amount.
What is simple interest?"Simple interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time."
What is compound interest?"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."
Here the principle amount is $100.
Simple interest rate is 7%.
Compound interest is 5% compounded quarterly.
After 5 years, with simple interest, the amount will be
= $[100 + (100 × 7 × 5)/100]
= $[100 + 35]
The simple interest shows linear growth because it is adding a constant amount.
After 5 years, with compound interest, the amount will be
= $[100(1 + 0.05/4)⁴⁽⁵⁾]
= $[100(1 + 0.0125)²⁰]
= $[100(1.0125)²⁰]
Therefore, the compound interest shows exponential growth because it is multiplying by a constant amount.
Learn more about simple and compound interest here: https://brainly.com/question/12999306
#SPJ3
The cost of a sweatshirt at a sporting-goods store is in n dollars. Sales tax is 8%. Which expressions represent the cost of a sweatshirt including sales tax? HELP ME PLEASE
Answers
Answer:
n + 0.08n
Step-by-step explanation:
The expression that should represent the cost of the sweatshirt involving sales tax is given below
Since it is given that the cost of the sweatshirt be n dollars
And, the sale tax is 8%
So, the expression should be
= n + n × 0.08
= n + 0.08n
Hence, the expression is n + 0.08n
The same would be considered and relevant too
Estimate a 15% tip on a dinner bill of $63.27 by first rounding the bill amount to the nearest ten dollars.
Answers
Answer:
69
Step-by-step explanation:
Nearest 10 = 60
15%×60 = 9
60+9 = 69
Topic 6 Online Assessment
Answers
Answer:
ok but where is the question
Step-by-step explanation:
A figure is translated and then rotated about the origin. Which of the following is
true of the resulting figure and the original figure?
A) The figures are similar.
OB) The figures have different sizes.
OC) The figures are congruent.
D) The figures are neither congruent nor similar.
Answers
Answer:
C) The figures are congruent.
Step-by-step explanation:
Given
Translation and rotation on a figure
Required
Select the true option
Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.
The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.
(c) is correct
Answer:
c
Step-by-step explanation:
20 POINTS for that someone can give me just the anwers
Answers
Answer:
Solutions for x are 2, 1/3
Everything in the second image is correct except you forgot to put 2 for c in the quadratic formula.
Answer:
:)
Step-by-step explanation:
what is the range of 125 110 115 165 145 180
Answers
Answer:
the range is 70, you subtract the highest number from the lowest so 180 - 110 which equals 70
Hope this helps
What is the estimated volume of a figure with a length of 3cm, a height of 4cm, and a width that is approximately 2 times the height?
Answers
Step-by-step explanation:
Given
length(l)=3cm
height(h)=4cm
breath or width (b)=2×h=2×4=8cm
now it is a cuboid
volume of cuboid=l×b×h=3×8×4=96cm³
Answer:32,cm3
Step-by-step explanation:
You given the function
f(x) = 4(3)^x +2
find the initial amount
find the amount After 2 years?
Amount After 3.5 years
**As you find each one label it as 1,2, and 3
Answers
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!
Reactants or Products
Answers
Answer:
1) Reactants
2) Products
Step-by-step explanation:
Answer:
1 reactants 2 products
Step-by-step explanation:
Chemical reaction, a process in which one or more substances, the reactants, are converted to one or more different substances, the products. Substances are either chemical elements or compounds. A chemical reaction rearranges the constituent atoms of the reactants to create different substances as products.
A chemical reaction is the process in which atoms present in the starting substances rearrange to give new chemical combinations present in the substances formed by the reaction. These starting substances of a chemical reaction are called the reactants, and the new substances that result are called the products.
have a good day
Please help!
The kitten, weighing 3 pounds, is adopted. Which of the following statements is true about the distribution of the weight of the remaining cats? Select THREE that apply.
A. The mean of the weight distribution will increase
B. The standard deviation of the weight distribution will decrease
C. The median of the weight distribution will increase
D. The range of the weight distribution will decrease
Answers
Answer:
D
Step-by-step explanation:
I think so :)
Now this helps if correct!
Find MIssing Angle REAL PERSON HELP PLZ
Answers
Answer:
67 degrees
Step-by-step explanation:
Answer:
67 degrees
Step-by-step explanation:
You wanna sub. 75 from 142. Hope this helped.
A mother duck lines her 9 ducklings up behind her. In how many ways can the ducklings line up?
Answers
9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Imagine the spots of the ducklings, the beginning there are one possibility of 9 ducklings. Afterwards the possibility goes to 8 and so on...
Solution: 362,880 possibilities
There are 362,880 ways to ducklings line up.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A mother duck lines her 9 ducklings up behind her.
Now,
Since, A mother duck lines her 9 ducklings up behind her.
Hence, By using Fundamental counting principal we get;
The number of ways for ducklings line up = 9!
= 9×8×7×6×5×4×3×2×1
= 362,880
Thus, The number of ways for ducklings line up = 362,880
Learn more about the multiplication visit:
brainly.com/question/28768606
#SPJ2
1. Which set of side lengths form a right triangle?
O 7 in., 8 in., 9 in.
O 33 in., 47 in., 50 in.
18 in., 24 in., 30 in.
O 22 in., 25 in., 32 in.
Answers
Answer:
7,8,9
Step-by-step explanation:
Even though it can be be 7,24,25
Malcolm sells art supply kits. He purchased 6 kits for $32.10. Write an equation that can be used to find the cost of each art supply kit, a, in dollars. How much does one art supply kit cost?
Answers
$5.35
you can use k or x i said k because it’s kits
A bowl in Mr. Layman's classroom contains a total of 300 red and green Skittles, The number of red Skittles equals 3 times as many as the green Skittles. Which equation would NOT be helpful in solving this problem?
Answers
Answer:
you need to put the answer choices to pick from (I will edit this when you put them)
Step-by-step explanation:
Tyler has 2 1/3 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. How many smoothies can Tyler make with the yogurt?
Answers
Answer:
7 smoothies
Step-by-step explanation:
change 2 1/3 into improper fraction => 7/3
divide 7/3 by 1/3:
=> 7/3 × 3
=> 7
Answer:
2 1/3
Step-by-step explanation:
I need help. It is due today.
Answers
Answer:
well please send me the question again
What is the equation of g(x)?
The graphs of f(x) = 5x and its translation, g(x), are
shown on the graph.
30 ly
25
12,25)
O g(x) = 5*-9
O g(x) = 5x-10
g(x) = 5x – 9
g(x) = 5x – 10
20-
х
15
(2, 15)
10-
(1,57
f(x) (01)
计
6 5 4 3 2 -15
2
(1,-5)
wo
g6x)
(0-9)
-15
20
-25
30 -
Answers
Answer:
the third option: g(x) = 5^x - 9
Step-by-step explanation:
identify the y-intercept, which is (0, -9)
find the option with: y = mx - 9
↑ the y-intercpet
The equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
The function f(x) is given as:
[tex]f(x) =5^x[/tex]
From the graph, the function f(x) is shifted down by 9 units
The rule of this transformation is represented as:
[tex](x,y) \to (x,y-9)[/tex]
So, we have:
[tex]g(x) =f(x) - 9[/tex]
Substitute [tex]f(x) =5^x[/tex]
[tex]g(x) =5^x - 9[/tex]
Hence, the equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
Solve the system of equations.
-3y + 5x = 26
– 2y – 5x =-16
X =? Y=?
Answers
Answer:
x= 94/25
y= 58/5
Step-by-step explanation:
Answer:
X=4
Y=-2
Step-by-step explanation:
Just did it on Khan
Andy randomly selects an outfit to go to school. He can choose from 4 shirts: blue stripes, red stripes, black or white stripes. He can choose from 3 pairs of shorts: brown, blue or plaid.
Answers
Answer:
B and D
Step-by-step explanation:
The probability that Andy chooses a striped shirt and a pair of blue shorts is:
[tex]\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}[/tex]
The probability that Andy chooses a striped shirt and pair of tan or plaid shorts is:
[tex]\frac{3}{4} * (\frac{1}{3} + \frac{1}{3}) = \frac{6}{12} = \frac{1}{2}[/tex]
Can you guys please help me with all three of these?
Answers
Answer:
1) B
2) F
3) D
Step-by-step explanation:
1)
B because all the x-values and y-values are 1-1 and the x-values don't repeat.
2)
F because all the x-values are the same and repeat.
3)
D because this fails the vertical line test.
A culture of bacteria has an initial population of 8600 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answers
The population of bacteria in the culture after 7 hours, to the nearest whole number is 27,971 bacteria
How do we determine the population of the bacteria?In order to determine the figure of the population of bacteria in the culture after 7 hours, to the nearest whole number, we make use of the formula:
P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t
We know that P_0 = 8600, t = 7, and d = 5. Plugging these values into the formula, we get:
P_t = 8600 * 2^(7/5)
To find the population after 7 hours, we can calculate the value of this expression. To the nearest whole number, the population is approximately 27,971 bacteria.
Therefore, the size of the population after 7 hours is 27,971 bacteria.
learn more about culture of bacteria: https://brainly.com/question/26298859
#SPJ1
A cylinder and a sphere shown below have equal volumes what is the radius of the sphere
Answers
what is greater 0.03 or 0.02
Answers
Answer: 0.03
Step-by-step explanation:
4 feet ≈ how many meters Round to the nearest hundredth
Answers
PLEASE HELP???!!! Look at the attachment below
Answers
Answer:
7. 5
6. 0
Step-by-step explanation:
Answer:
See attachedStep-by-step explanation:
Using the numbers in the Venn diagram we get answers:
Those have a dog and a cat: 5 + 7 = 12Those have a dog but don't have a cat: 5Those don't have a dog: 6Those don't have a dog or cat: 0A sample of size 20 from a normal distribution has sample mean 3.5 and sample variance 14.75. Find 90% confidence intervals for the variance and standard deviation of the distribution.
Answers
Answer:
Variance =9.2983, 27.6927
Standard deviation = 3.0493, 5.2624
Step-by-step explanation:
n = 20
S = 14.75
X² = chisquare
N-1 = degree of freedom
Alpha = 0.1
Alpha/2 = 0.1/2 = 0.05
1-0.1/2 = 0.95
Using statistics table
X² 19,0.05 = 30.14
X² 19, 0.95 = 10.12
A. 19(14.75)/30.14 , 19(14 75)/10.12
= 9.2983, 27.6927 for the variance of the population
B. Standard deviation = square root of variance
= √9.2983, √27.6927
= 3.0493, 5.2624
Please use attachment for better understanding
What is the volume to the nearest tenth
Answers
Answer:
735.84
Step-by-step explanation:
Search Up Cone Volume Formula
Answer: 84.7 cm
Step-by-step explanation:
I just multiplied them both and rounded the 84.66 to a 84.7, hope I helped!