Suppose that you are headed toward a plateau 37 meters high. If the angle of elevation to the top of the plateau is , how far are you from the base of the plateau?
Answers
Answer:
21.36 meters
Step-by-step explanation:
Given
[tex]h = 37m[/tex]
[tex]\theta = 60^o[/tex]
Required
The distance from the base (b)
The question illustrates right-angled triangle (see attachment)
To solve for (b), we make use of tangent formula
[tex]\tan(60)=\frac{h}{b}[/tex]
Make b the subject
[tex]b =\frac{h}{\tan(60)}[/tex]
So:
[tex]b =\frac{37}{\tan(60)}[/tex]
[tex]b =\frac{37}{1.7321}[/tex]
[tex]b =21.36[/tex]
Related Questions
Nellie prepares 2 kilograms of dough every hour she works at the bakery. How many hours
did Nellie work if she prepared 6 kilograms of dough?
Answers
2 kg dough = 1 hour
1 kg dough = 1 hour/2 = 1/2 hour
6 kg dough = 6 × (1/2 hour) = 6/2 hours = 3 hours
Answer: 3 hours
Step-by-step explanation: x represents the number of hours she works
2x=6
x=6/2
x=3
a bus travel 80 km in 2 hours .find the time in minutes to travel 1000/3 km
Answers
Answer:
here is your answer
hope this will help for you
What are the lower, middle, and upper quartiles of this data?
122, 164, 71, 98, 84, 147, 114, 111, 98, 85, 104, 71, 77
Answers
Answer:
71, 71, 75, 85, 98, 98, 104, 111, 114, 122, 164
The middle quartile is 98.
The lower quartile is 80
The upper quartile is 112.5
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $296. Otherwise, you have to pay your friend $17.
What is the expected value of your bet?
Answers
Answer:
False because $296=$296
The formula for velocity of an object is the equals d over t where he is a velocity of the object t is the distance traveled and t is a time in class well that distance is terrible if you had only this formula to work with what would your first step be to determine how long it takes for the light to return fitness center one additional information do you need to calculate this and solve the variable you're looking for
Answers
Answer:
[tex](a)\ t =\frac{d}{v}[/tex]
[tex](b)\ d = vt[/tex]
Step-by-step explanation:
The question is mixed up with details of another question. See comment for original question
Given
[tex]v = \frac{d}{t}[/tex]
[tex]v \to velocity[/tex]
[tex]d \to distance[/tex]
[tex]t \to time[/tex]
Solving (a): Solve for time
We have:
[tex]v = \frac{d}{t}[/tex]
Cross multiply
[tex]t * v = d[/tex]
Make t the subject
[tex]t =\frac{d}{v}[/tex]
Solving (b): Solve for distance
We have:
[tex]v = \frac{d}{t}[/tex]
Cross multiply
[tex]d = v * t[/tex]
[tex]d = vt[/tex]
Amy worked 37.5 hours last week.
She is paid £11.50 per hour.
Her total deductions last week were £116.30.
What was Amy’s net pay last week?
£
Answers
First you must find out what the initial payment would have been, My way of doing it was simply multiplying 37 by 11.5
I then get 425.5, then to find out the amount for the .5 (half hour)simply divide 11.5,the answer is then £5.75,....now we add £425.5 + £5.75= £431.25
Now... we need to deduct her “deductions” lol which was £116.30 so
£431.25-£116.30=£314.95
So her payment was £314.95
Really hoped that helped have a wonderful day
What is division story problem where the dividend is a three-digit number and the divisor is a single digit.
Answers
Answer:
dddddddddv
Step-by-step explanation:
You want to buy a $203,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. or a) How much is the loan amount going to be? $ b) What will your monthly payments be if the interest rate is 6%? $ c) What will your monthly payments be if the interest rate is 7%?
Answers
Answer:
The amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.
Step-by-step explanation:
Given that you want to buy a $ 203,000 home, and you plan to pay 10% as a down payment, and take out a 30 year loan for the rest, for A) determine how much is the loan amount going to be, B) determine what will your monthly payments be if the interest rate is 6%, and C) determine what will your monthly payments be if the interest rate is 7%, the following calculations must be made:
A) 100 - 10 = 90
203,000 x 0.90 = X
182,700 = X
B) (182,700 x 1.06) / (30 x 12) = X
193,662 / 360 = X
537.95 = X
C) (182,700 x 1.07) / (30 x 12) = X
195,489 / 360 = X
543.025 = X
Therefore, the amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.
Elise's math exam had 50 problems on it. She was able
to do 36 of them in 1 hour. What percent of the math problems did
she complete?
Answers
Answer:
72%
Step-by-step explanation:
Elise did 36 out of 50 problems in 1 hour. Another way to write 36 out of 50 is 36/50.
To find the percent from a fraction, one thing we can do is make the denominator 100 but still make the fraction the same, and then take the numerator.
We have 36/50, but want to make the denominator 100, not 50. We know that 100/50 = 2, so we have to multiply 50 by 2 to get 100.
Keeping the fraction equal, we can multiply 36/50 by 2/2 to get 72/100. We can do this because 2/2=1, so we are keeping the fraction the same -- just changing the numbers a little bit.
A fraction of form x/100 is equal to x%, so 72/100 = 72% as our answer
if a=(1 2 3 4) find A×A and the relation determined by (I) y=2x (II) x+y
Answers
Answer:
HOPE IT HELPS PLZ MARK ME BRAINLIEST
Step-by-step explanation:
A={1,2,3,4,5,6}
R={(x,y):y is divisible by x}
We know that any number (x) is divisible by itself.
(x,x)∈R
∴R is reflexive.
Now,(2,4)∈R [as 4 is divisible by 2]
But,(4,2)∈ /
R. [as 2 is not divisible by 4]
∴R is not symmetric.
Let (x,y),(y,z)∈R. Then, y is divisible by x and z is divisible by y.
∴z is divisible by x.
⇒(x,z)∈R
∴R is transitive.
Hence, R is reflexive and transitive but not symmetric.
In order to win a prize, Heather randomly draws two balls from a basket of 40. There are 25 blue balls, and the rest are green balls. Of the blue balls, 12% are winning balls. Of the green balls, 20% are winning balls. Calculate the expected number of winning balls that Heather draws.
Answers
Answer:
The expected number of winning balls that Heather draws is 0.3.
Step-by-step explanation:
The balls are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Expected value of the hypergeometric distribution:
The expected value is given by:
[tex]E(X) = \frac{nk}{N}[/tex]
Expected number of blue and green balls:
40 balls, which means that [tex]N = 40[/tex]
2 are chosen, which means that [tex]n = 2[/tex]
25 are blue, which means that [tex]k = 25[/tex]
So
[tex]E(X) = \frac{nk}{N} = \frac{25(2)}{40} = 1.25[/tex]
1.25 balls are expected to be blue and 2 - 1.25 = 0.75 green.
Of the blue balls, 12% are winning.
Of the green balls, 20% are winning.
Calculate the expected number of winning balls that Heather draws.
[tex]E_w = 1.25*0.12 + 0.75*0.2 = 0.3[/tex]
The expected number of winning balls that Heather draws is 0.3.
15. Dravid is a famous cricket player. He has
so far scored 6980 runs in the test matches.
He wishes to complete 10,000 runs: How
many more runs does he need? *
4020 runs
3220 runs
2820 runs
O 3020 runs
Answers
Answer:
3020 runs
Step-by-step explanation:
Because he wants 10000 but only has 6980 so you have to minus 6980 from 10000. 10000-6980=3020
so 3020 is the answer
Answer:
3020 runs
Step-by-step explanation:
10,000-6980=3020
Someone pls answer ? It’s 8,9,1,2
Answers
Answer:
Step-by-step explanation:
8.
any number ×0=0
so b
9.
additive identity
any number+0=same number
c
1.
[tex]\frac{(3+u)^2}{8} =\frac{(3+5)^2}{8} =\frac{8^2}{8} =\frac{64}{8} =8\\where ~u=5[/tex]
2.
-2(a-7)=-2×a-2×(-7)=-2a+14
Create a quadratic equation in one variable of the form ax^2+bx+c=0 that meets the following criteria. A=1, b=0 , c=-100. 20 points.
Answers
Answer:
Equation is x^2-100=0
Step-by-step explanation:
I'm assuming everything is in standard form. Just plug in the values.
1(x)^2+(0)x+(-100)=0
0 times x is 0, so it simplifies to
x^2-100=0
What is the value of the function when x = -2 in the
piecewise function
g(x) =
3x when x > 1
-2x when x <1
Answers
Answer:
[tex]g(2) = 6[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 3x[/tex] --- [tex]x > 1[/tex]
[tex]g(x) = -2x[/tex] -- [tex]x < 1[/tex]
Required
[tex]g(2)[/tex]
[tex]2 > 1[/tex]
So, we use:
[tex]g(x) = 3x[/tex]
Substitute [tex]2[/tex] for x
[tex]g(2) = 3 * 2[/tex]
[tex]g(2) = 6[/tex]
Answer:g(-2)=4
Step-by-step explanation:
Since x = -2, use the piece of the function when x ≤ 1. Therefore, use g(x) = -2x and substitute -2 in for x to get g(-2) = -2(-2), which simplifies to g(-2) = 4.
PLSSSSSSSSSSSSS HELp VERY URGENT The graph of F(x), shown below, resembles the graph of G(x) = x^2, but it has been stretched somewhat and shifted. Which of the following could be the equation of F(x)?
Answers
Answer:
Option B
Step-by-step explanation:
Function 'g' is,
g(x) = x²
Since, leading coefficient of this function is positive, parabola is opening upwards.
From the graph attached,
Function 'f' is opening upwards leading coefficient of the function will be positive.
Since, the graph of function 'f' is vertically stretched, equation will be in the form of f(x) = kx²
Here, k > 1
Since, function 'f' is formed by shifting the graph of function 'g' by 1 unit upwards,
f(x) = g(x) + 1
Combining all these properties, equation of the function 'f' should be,
f(x) = 4x² + 1
Option B will be the correct option.
Find the equivalent expression using the
same bases.
(98.41)
Answers
in a standard deck of 52 cards what is the probability of drawing 2 jacks
Answers
Answer:
1/169
Step-by-step explanation:
There are 4 jacks in a deck of cards.
So 4/52 is the probability of drawing 1 card
The probability of drawing 2 jacks is 4/52*4/52
Solve, and that is 1/169
I hope this helps!
Four cups of pure water are added to a 20-cup bowl of punch that is 75% juice. What percentage of the new punch is juice?
Amount of Juice
15
0
Amount of Punch
20
4
27%
37.5%
62.5%
75%
Answers
Answer:
62.5%
Step-by-step explanation:
Given that :
20 cup bowl of punch = 75% Juice
We can infer that :
The number of cups of JUICE is :
75% * 20 = 0.75 * 20 = 15 cups
Adding 4 cups of water to the 20 cups, we have = 24 cups
With 15 cups of JUICE ;
The percentage of the new punch that is juice will be x
x% of 24 cups = 15 cups
x/100 * 24 = 15
0.01x * 24 = 15
0.24x = 15
x = 15 / 0.24
x = 62.5
x = 62.5%
Answer:
It's C
62.5% btw
Step-by-step explanation:
Did the quiz lol
Ask a question about your assignment
Answers
Answer:
Which video in YT has most number of views
Step-by-step explanation:
Lisa, an experienced shipping clerk, can fill a certain order in 9 hours. Felipe, a new clerk, needs 10 hours to do the same job. Working together, how long will it take them to fill the order?
Answers
Answer:
9.5hrs
Step-by-step explanation:
since they are working together you have to take the average time since is the same order
The amount of tax on a chair was $3.60. The tax rate was 5%. Find the original price of the chair.
Bianca solved the problem below. Find Bianca’s error.
0.05(3.60) = Original price
The original price is $0.18.
Answers
9514 1404 393
Answer:
$72.00
Step-by-step explanation:
The relationship between price and tax is ...
tax amount = (tax rate) × (price)
Then the price can be found by dividing by the tax rate:
price = (tax amount)/(tax rate)
price = $3.60 / 0.05 = $72.00
The original price of the chair was $72.00.
__
Bianca apparently did not pay any attention to the way tax is computed. Nor did she check her work. The original price is not a small fraction of the tax. It is the other way around. Bianca used a wrong relationship between tax and price.
A modified roulette wheel has 36 slots. One slot is 0, another is 00, and the others are numbered 1 through 34, respectively. You are placing a bet that the outcome is an even number. (In roulette, 0 and 00 are neither odd nor even.) a. What is your probability of winning?
Answers
Answer:
[tex]P(win) = 0.4722[/tex]
Step-by-step explanation:
Given
[tex]n = 36[/tex] --- slots
[tex]Even = 17[/tex] i.e. even numbers between 1 and 34 (inclusive)
Required
[tex]P(win)[/tex]
The probabiity of winning is the number of even numbers divided by the total slot;
i.e.
[tex]P(win) = \frac{Even}{n}[/tex]
So, we have:
[tex]P(win) = \frac{17}{36}[/tex]
[tex]P(win) = 0.4722[/tex]
Your friend is looking at laptops for college, and is comparing the different
screen sizes. Use the diagram and formula below to find the height of the
laptop screen. Round your answer to the tenths place.
d - VW
d= 72.7mn
h
W 026
Answers
Answer:
B. h = 7.4 inches
Step-by-step explanation:
height of the laptop screen = h
d = 12.1 in.
w = 9.6 in.
We are given the formula,
d = √(w² + h²)
Plug in the values and solve for h
12.1 = √(9.6² + h²)
Square both sides
12.1² = 9.6² + h²
146.41 = 92.16 + h²
146.41 - 92.16 = h²
54.25 = h²
√54.25 = h
7.4 = h (nearest tenth)
h = 7.4 inches
Which of the following are integer solutions to the inequality below?
−2≤×<3
Answers
Answer:
-2, - 1, 0, 1, 2
Step-by-step explanation:
The greater than or equal to sign (≤) demonstrates that the unknown is equal to -2 and greater, but is less than 3, so the largest integer solution is 2, not 3
There are 92 students enrolled in an French course and 248 students enrolled in a Spanish course. Construct a ratio comparing students enrolled in a French course to students enrolled in a Spanish course. Write your answer as a decimal, rounded to the thousandths place.
Answers
Answer:
0.371
Step-by-step explanation:
The ratio comparing students enrolled in a French course to students enrolled in a Spanish course rounded to the thousandths place is 0.371.
What is the ratio?A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.
Now it is given that,
Students enrolled in a French course = 92
Students enrolled in a Spanish course = 248
So, Ratio comparing students enrolled in a French course to students enrolled in a Spanish = Students enrolled in a French course / Students enrolled in a Spanish course
⇒ Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 92/248
⇒ Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 0.370967
To rounded to the thousandths place, the digit at the thousandth place is 0 and right to it is 9 which is greater than 5 so round up the place value at thousandths place.
⇒ Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 0.371
Thus, the ratio comparing students enrolled in a French course to students enrolled in a Spanish course rounded to the thousandths place is 0.371.
To learn more about ratio:
https://brainly.com/question/1504221
#SPJ2
Aaron used ordinary electrical wire to connect the lights around the new factory. He ended up using 3 entire spools of wire, which totaled 1,380 feet. What is the number of feet of wire contained on one spool, written as a ratio? Type your ratio using a : between the numbers
Answers
Answer:
There are 460 feet of wire contained on one spool.
Step-by-step explanation:
Since Aaron used ordinary electrical wire to connect the lights around the new factory, and I have ended up using 3 entire spools of wire, which totaled 1,380 feet, to determine what is the number of feet of wire contained on one spool, written as a ratio, the following calculation must be performed:
1380/3 = X
460 = X
So there are 460 feet of wire contained on one spool.
Two groups were moving from one campsite to another. The first group traveled the distance in 5 hours. The second group finished in 7 hours. Find the distance between the campsites if the first group was going 4mph faster than the second group.
Answers
Answer:
The distance between the campsites was 70 miles.
Step-by-step explanation:
Since two groups were moving from one campsite to another, and the first group traveled the distance in 5 hours while the second group finished in 7 hours, to find the distance between the campsites if the first group was going 4mph faster than the second group, the following calculation must be performed:
X + 4 = 5
X = 7
4 x 7 = 28
(4 + 4) x 5 = 40
10 x 7 = 70
(10 + 4) x 5 = 70
Therefore, the distance between the campsites was 70 miles.
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 2.5 minutes. (a) Find the probability that a customer has to wait more than 4 minutes. (Round your answer to three decimal places.)
Answers
Answer:
0.758
explaination
using poisson distribution
0.08208+0.2052+0.2565+0.2138
0 .758
Suppose that 20° of boys opted for mathematics and 40% of girls opted for mathematics. What is the probability that a student opted for mathematics if half of the class is girls?
Answers
Answer: 30%
Step-by-step explanation:
Let A be the probability of a student opting for mathematics - it consists of either boy opting for mathematics or girl opting for mathematics. As there is "or" we need to sum these probabilities.
[tex]P(A) = P(B)* P(M|G) + P(G)*P(M|G)[/tex]
[tex]P(A) = \frac{1}{2} * \frac{20}{100} + \frac{1}{2} * \frac{40}{100}[/tex]
[tex]P(A) = 3/10 = 0.3[/tex]
=> 30%
Answer:
30% Chance
Step-by-step explanation:
This one is rather simple. If half the class is girls, split 40 into half. Do the same with 20 if half is boys. Add 10 and 20 and you get 30.
