Step-by-step explanation:
=14×(8×2)
=14(16)
=224
Let (2,-5) be a point on the terminal side of theta find the exact values of cos theta csc theta and tan theat
Answer:
Step-by-step explanation:
x = 2, y = -5
√(2²+(-5)²) = √29
cosθ = 2/√29 = (2√29)/29
sinθ = -5/√29
cscθ = 1/sinθ = -√29/5
tanθ = sinθ/cosθ = -5/2
The values of cos theta is 2/[tex]\sqrt{29}[/tex] , cosec theta is [tex]\sqrt{29} /5[/tex] and tan theta is 5/2 if the point on the terminal side of theta is (2,-5).
What is pythagoras theorem?It says that in a right angled triangle the square of the hypotenuse is equal to the sum of the square of base and square of height.
How to find values of trigonometric function?We have been given a point (2,-5) on the terminal side. Let us plot the point on the graph and join it with origin from both ends.
By pythagoras theorem we can easily find AC=[tex]\sqrt{5^{2}+2^{2} }[/tex]
AC=[tex]\sqrt{29}[/tex]
With the help of the sides of the triangle we can find the value of
cos theta=2/[tex]\sqrt{29}[/tex]
cosec theta=[tex]\sqrt{29}[/tex]/5
tan theta=5/2
Hence the values of cos theta, cosec theta, tan theta are 2/[tex]\sqrt{29}[/tex],[tex]\sqrt{29}[/tex]/5,5/2 respectively.
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Billy jogs 4/5 kilometer every minute.How many kilometers does he jog after 6 1/8 minutes
5.4 km
0.8×6
0.8×0.75
4.8+0.6 =5.4
4/5 of a kilometer = 800m
6 1/8 minutes = 49/8 min
Now
800×49/8
= 100×49
= 4900m
= 4.9km
Must click thanks and mark brainliest
You are planning to attend college next year. The total cost of tuition and textbooks is $10,000. If you go to school, your room and board will cost you $5,000. If you did not go to school, however, you would live at home, and your total room and board would only be $1,000. Additionally, if you did not go to college, you would work a job making $20,000 for the year.
1. In terms of room and board alone, what would be opportunity cost of attending college. Be sure to explain your answer
2. What are the explicit costs of attending school? How much should be included for room and board?
3. What would be the implicit cost of attending college next year?
4. What would be the total opportunity cost of attending college next year?
Opportunity Cost of attending college, in terms of room and board is $4000 . Explicit Cost, Implicit Cost of attending college is $14000, $20000. Total Opportunity Cost of attending college is $34000
1. Opportunity Cost is the cost of next best alternate foregone, as in value of sacrifice made, while choosing an alternative.
Money foregone to attend college, in room & board = room & board cost with college - room & board cost without college = 5000 - 1000 = 40002. Explicit Cost is the actual out of pocket cash expenses outflow, done for choosing an option. Eg : Cash expenditures
In this case, cash expenses for attending college = 140003. Implicit Cost is the implied estimated cost of self supplied factors of production, like value of self labour & self owned land etc.
In this case : Value of self labour, sacrificed for attending college, ie the salary which could have earned by doing job meanwhile = 200004. Total opportunity cost of attending college = Explicit Cost + Implicit Cost = 14000 + 20000 = 34000
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how many feet is 2 1/2 miles
Answer:
13200 ft
Step-by-step explanation:
1 mi = 5280 ft
5280 ft x 2.5 = 13200 ft
If my answer is incorrect, pls correct me!
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-Chetan K
kabura bought a piece of cloth 3 metres long. The material shrunk by 1% after washing. What was the new length of the cloth
Answer:
2.97m
Step-by-step explanation:
1% of 3m =1/100×3=0.03
0.03m of cloth was shrunk,
So, New lenght : 3-0.03=2.97m
What is 3 times 10^9
Answer:
3 times 10 ^ 9
Step-by-step explanation:
3 × 10 ^ 9 = 3000000000
Product A sells 1.5 times more than Product B. Product B sells 70% less than Product C. Product C sold 34,000 units this month.
How many units of Product A were sold?
10,200
15,300 23,800 35,700 51,000
Answer:
15,300 units
Step-by-step explanation:
First, find how many units of Product B were sold:
34,000(0.3)
= 10,200
Find how many units of Product A were sold:
10,200(1.5)
= 15,300
So, 15,300 units of Product A were sold.
Product A sold 15,300 units that is 1.5 times more than product B
Given :
Product A sells 1.5 times more than Product B. Product B sells 70% less than Product C.
Product C sold 34,000 units this month
Product C sold = 34000
Product B is 70% less than product C
So, product B is 100-70% =30% of product C
[tex]Product B=\frac{30}{100} \cdot 34000\\Product B \; sold = 10200[/tex]
Lets find out product A sold
Product A sold = 1.5 times more than product B
[tex]Product A= 1.5 \cdot product B\\Product A=1.5 \cdot 10200=15300[/tex]
15,300 units of product A were sold.
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A hunter walks 400m Up a hill which slopes at an angle of 20 to the horizontal. Calculate,correct to the nearest metre, the: a. horizontal distance he covered b.vertical height through which he rises.
let y be the horizontal distance and x the vertical
y/400 = cos 20
y=400 cos20
y=376m
x/400 =sin20
x=400sin20
x=137m
Need help with this- Precalculus
use x^2 when x=0 because the restriction for it is "use x if x is less than or equal to 1"
when x = 0, (0)^2 will make f(x) = 0
the graph of f(x) will just be a dot at 0
Simplify the exponential expression -8 squared
Answer:
-64
Step-by-step explanation:
-8^2
-8( -8)
=-64
In the figure above, AD and BE intersect at point C, and
the measures of angles B, D, and E are 98°, 81°, and 55°,
respectively. What is the measure, in degrees, of
angle A ? (Disregard the degree sign when gridding your
answer.)
answer in screenshot
Five more than twice a number is three. Write that in equation
Step-by-step explanation:
Hi there!
According to the question;
Five more than twice a number is three.
Then let the number be "x".
Since X is the number according to the condition of question;
The number is twice : 2x
It's then more 5 : 2x+5
And the result is : 3,
Combining all; we get,
2x+5 = 3
Therefore, the required equation is 2x+5 = 3.
Hope it helps!
Which of the following will result in a rational answer? multiplying pi by a fraction. adding the square root of a non perfect square to a whole number. adding the square root of a perfect square to pi. multiplying a fraction by a repeating decimal.
Correct option is "multiplying a fraction by a repeating decimal."
Explanation:
Since multiplying a fraction is a rational and repeating decimal is also rational, therefore, it's result is also rational.
Hope it helps you... pls mark brainliest if it helped you
QUESTION 3.1 POINT
An investment pays 25% interest compounded monthly. What percent, as a decimal, is the effective annual yied? Enter your
answer as a decimal rounded to four decimal places.
9514 1404 393
Answer:
0.2807
Step-by-step explanation:
The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...
e = (1 +r/n)^n -1
e = (1 +0.25/12)^12 -1 = 0.2807 . . . . . . about 28.07%
The square root of 3/100 is between what two numbers
9514 1404 393
Answer:
0.17 and 0.18
Step-by-step explanation:
Usually, a question like this asks for two integer values that bound the root. Here, those would be 0 and 1.
√(3/100) = (√3)/10 ≈ 0.17320508...
You can truncate this at any point to find a number lower than √.03, then add 1 to that value's least-significant digit to find a number higher than √.03.
For example, if we use 4 digits, the two numbers bounding the root could be ...
0.1732 and 0.1733
Write an equation that expresses the following relationship.
w varies directly with u and inversely with the square of d
In your equation, use k as the constant of proportionality.
Answer:
w = [tex]\frac{ku}{d^{2} }[/tex]
Step-by-step explanation:
An equation that expresses the given relationship is ud²=1.
Given that, w varies directly with u and inversely with the square of d.
We need to write an equation that expresses the following relationship.
What is directly and inversely varies?Direct variation is a linear function defined by an equation of the form y = kx when x is not equal to zero. Inverse variation is a nonlinear function defined by an equation of the form xy = k when x is not equal to zero and k is a nonzero real number constant.
Now, w∝u⇒w=ku
and w∝1/d²⇒w=k/d²
⇒wd²=k
⇒w=wd²u
⇒ud²=1
Therefore, an equation that expresses the given relationship is ud²=1.
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please help me with this
——/———————-////—————-
Answer:
"C"
Step-by-step explanation:
-B means the B is in the opposite direction
Installation of certain hardware takes a random amount of time. The installation times form a normally distributed distribution with a standard deviation 5 minutes and a mean of 45 minutes. A computer technician installs the hardware on 31 different computers. You are interested to find the probability that the mean installation time for the 31 computers is less than 43 minutes. What is the probability that the mean installation time for 31 computers is less than 43 minutes.
To solve this question, the normal distribution and the central limit theorem are used.
Doing this, there is an 0.0129 = 1.29% probability that the mean installation time for 31 computers is less than 43 minutes.
------------------------------------
First, these concepts are presented, then we identify mean, standard deviation and sample size, and then, we find the desired probability.
------------------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
------------------------------------
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
------------------------------------
Mean of 45, standard deviation of 5:
This means that [tex]\mu = 45, \sigma = 5[/tex]
Sample size of 31:
This means that [tex]n = 31, s = \frac{5}{\sqrt{31}}[/tex]
------------------------------------
Probability the sample mean is less than 43:
This is the p-value of Z when X = 43, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{43 - 45}{\frac{5}{\sqrt{31}}}[/tex]
[tex]Z = -2.23[/tex]
[tex]Z = -2.23[/tex] has a p-value of 0.0129.
Thus, 0.0129 = 1.29% probability that the mean installation time for 31 computers is less than 43 minutes.
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Steve and Herb are choosing seats at the baseball stadium.
The seats are numbers like a coordinate grid. Steve
chooses the seat at (1, 2). If Herb does not want to sit in the
same vertical or horizontal row as Steve's seat, which seat
should he choose?
OA) (0,2)
B) (0,1)
C) (1,0)
OD) (-1,2)
The solution is: B) (0,1) is the seat should he choose.
What is coordinate?Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.
here, we have,
given that,
Steve and Herb are choosing seats at the baseball stadium.
The seats are numbers like a coordinate grid. Steve chooses the seat at (1, 2).
If Herb does not want to sit in the same vertical or horizontal row as Steve's seat.
now, we have,
in the same vertical or horizontal row means The x value should not contain the number 1, and, the y value should not contain the number 2 .
now, we get,
The x value should not contain the number 1, so we can eliminate choice c,
the y value should not contain the number 2 so we can Eliminate option A and D.
The only we one we have not eliminated is B,
and it follows the rules of not having 1 in the x value or 2 in the y value.
Therefore the answer is option B.
Hence, The solution is: B) (0,1) is the seat should he choose.
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a number is divisible by 10 if it has ____ in ones place .
Answer:
A number is divisible by 10 if it has a zero in ones place.
Step-by-step explanation:
We know that 10= 2 x 5 .So to be divisible by 10 we have to be divisible by both 2 and 5As we know ,Numbers divisible by 2 are even numbers and numbers divisible by 5 if it has a zero or a five in ones place . From that, we have A number is divisible by 10 if it has a zero in ones place.60°
8
30°
х
Determine the value of x.
Answer:
4 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = x / 8
8 sin 60 = x
8 ( sqrt(3)/2) = x
4 sqrt(3) =x
What expression is equivalent to 18 1/5 ( -22 2/5 ) - (-40 1/5 )
(18 1/5 * (-22 2/5)) - (-40 1/5) = -367.48
How many gallons of a 5% bleach solution must be
added to 10 Gallons of a 20% bleach solution to
produce that is 15% bleach
Answer:
Step-by-step explanation:
10 gallons of the 20% solution contain 2 gallons of bleach.
x gallons of the 5% solution contain 0.05x gallons of bleach.
If the two are combined, the resulting 10+x gallons contain 2+0.5x gallons of bleach. The concentration is (2+0.05x)/(10+x).
(2+0.05x)/(10+x) = 15%
2+0.05x = 0.15(10+x)
2+0.05x = 1.5+0.15x
0.5 = 0.10x
x = 5
5 gallons of 5% solution is added to the 10 gallons of 20% solution.
I don’t get plz help
Answer:
D.
Step-by-step explanation:
[tex]\frac{pV}{T} =\frac{m}{M}[/tex]
[tex]\frac{M}{1}* \frac{pV}{T} =\frac{m}{M}*\frac{M}{1}[/tex]
[tex]\frac{MpV}{T} ={m}[/tex]
How do you multiply 123 x 62?
Answer:
(123)(62)=x
Step 1: Simplify both sides of the equation.
7626=x
Step-by-step explanation:
Have a good day.
Answer:7,626
Step-by-step explanation:The easiest way I do it is by taking the numbers and putting them under each other like this
123
62
then take the number 2 for example and multiply it by 3 then 20 then 100 and do the same with the 6=60 and heres how I solve it
2 x 3=6 2 x 20=40 2 x 100=200 60 x 3=180 60 x 20=1,200 60 x 100=6,000 now take all the numbers and add them
6+40+200=246
180+1,200+6,000=7,380
7,380+246=7,626
(if this helps in anyway feel free to put brainiest but thats your choice) :) happy to help.
For what value of x is the parallelogram a rhombus.
Answer:
Step-by-step explanation:
2 × ( 3x + 6 )° + ( 16x + 14 )° = 180°
22x + 26 = 180
22x = 154
x = 7
Can anyone help me?
Answer:
y is not a function of x
Step-by-step explanation:
This fails the vertical line test. This means that not all inputs have exactly one output. This makes this not a function.
What is the variable used in the equation 5x + 2 =100?
Answer:
[tex]5x + 2 = 100 \\ 5x = 100 - 2 \\ 5x = 98 \\ x = \frac{98}{5} \\ x = 19.6[/tex]
Answer: the answer would be x because that's the actual variable in the question then if 19.6 was not an option
Step-by-step explanation:
The TV weatherman says "there's a 30% chance of rain tomorrow ". Explain what this statement means?
modeled by a cylinder with diameter 15 feet
