The height of the skyscraper is approximately 115.25 meters (rounded to the nearest hundredth of a meter).
To find the height of the skyscraper, we can use trigonometry and the information provided about the angle of elevation and the horizontal distance.
Let's denote the height of the skyscraper as h. We are given that Myesha's eye height above the ground is 1.75 meters, and she measures the angle of elevation to be 19 degrees.
In a right triangle formed by Myesha's eye, the top of the skyscraper, and a point on the ground directly below the top of the skyscraper, the angle of elevation (θ) is the angle between the line of sight from Myesha's eye to the top of the skyscraper and the horizontal ground.
The opposite side of the triangle is the height of the skyscraper (h), and the adjacent side is the horizontal distance from Myesha to the base of the skyscraper (337 meters).
Using the trigonometric function tangent (tan), we can set up the following equation:
tan(θ) = h / 337
Since we know the value of the angle of elevation (θ = 19 degrees), we can substitute it into the equation:
tan(19 degrees) = h / 337
Now we can solve for h:
h = tan(19 degrees) * 337
Using a calculator or trigonometric tables, we find that tan(19 degrees) is approximately 0.34202. Substituting this value into the equation:
h = 0.34202 * 337
h ≈ 115.25
For more such question on height. visit :
https://brainly.com/question/28990670
#SPJ8
The least-squares regression line of the number of visitors, y, at a national park and the temperature, x, is modeled by the equation D=85.2 +10.3x. What is the predicted number of visitors when the temperature is 78°? 10.3 visitors 85.2 visitors 95.5 visitors 888.6 visitors 6,655.9 visitors
The predicted number of visitors when the temperature is 78° is 888.6 visitors.
The least-squares regression line of the number of visitors, y, at a national park and the temperature, x, is modeled by the equation,
D = 85.2 + 10.3x
We need to find the predicted number of visitors when the temperature is 78°.
Substitute x = 78 in the given equation of regression line:
D = 85.2 + 10.3x= 85.2 + 10.3(78)= 85.2 + 803.4
D = 888.6
To know more about least-squares regression, visit:
https://brainly.com/question/15455036
#SPJ11
Given that the least-squares regression line of the number of visitors, y, at a national park and the temperature, x, is modeled by the equation D=85.2+10.3x.
We need to find the predicted number of visitors when the temperature is 78°.
Option D (fourth) is correct.
To find out this we just need to substitute the given value of x = 78 into the equation of the regression line. So, we get the predicted number of visitors when the temperature is 78° as below:
[tex]D = 85.2 + 10.3 \times 78[/tex]
[tex]D = 85.2 + 803.4[/tex]
D = 888.6
Therefore, the predicted number of visitors when the temperature is 78° is 888.6 visitors.
Hence, option D is correct.
To know more about regression line visit
https://brainly.com/question/7656407
#SPJ11
What is the midpoint of DC with endpoints C (6,−1) and D (−7,8)?
Answer:
Fraction form: (-1/2, 7/2) Decimal form: -.5, 3.5)
Step-by-step explanation:
use the midpoint formula of: (x1 + x2/2 , y1 + y2/2) in order to get (x,y) coordinates.
Let's call endpoint C x1 and y1. So 6=x1 and -1=y1.
This makes endpoint D x2 and y2. So -7=x2 and 8=y2.
Now plug it in and simplify!
x-coordinates: (6+-7)/2 = (6-7)/2 = -1/2 or -.5
y-coordinates: (-1+8)/2 = (8-1)/2 = 7/2 or 3.5
the midpoint of endpoints C and D is (-1/2, 7/2)
**decimal form: (-.5, 3.5)
Use a special right triangle to write
tan 60° in simplest radical form.
Answer:
√3
Step-by-step explanation:
opposite side (√3)/2
tan 60 degrees = ------------------------- = ------------ = √3
adjacent side 1/2
How many solutions does the system have? 4x-2y=8 2x+y=2
Answer:0
Step-by-step explanation:
Determine the value of k for which the system has no solutions. k= I +y +4z I +2y-2z 4x +9y +kz = 0 = 1 = 6
The value of k for which the system has no solution is k = -16.
To determine the value of k for which the system has no solution, we can examine the system of equations:
x + y + 4z = 0 ...(1)
x + 2y - 2z = 0 ...(2)
4x + 9y + kz = 6 ...(3)
To have no solution, the system of equations must be inconsistent.
The coefficient matrix of the system is:
[tex]\left[\begin{array}{ccc}1&1&4\\1&2&-2\\4&9&k\end{array}\right][/tex]
The determinant of this matrix is given by:
|A| = (1 × 2 × k) + (1 × (-2) × 4) + (4 × 1 × 9) - (4 × 2 × 4) - (9 × (-2) × 1) - (k×1 ×1)
= 2k - 8 + 36 - 32 + 18 - k
= k + 16
For the system to have no solution, the determinant must be equal to zero:
k + 16 = 0
k = -16
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ4
Find the value of the variables in the simplest form
Answer:
x = 3
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex]
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{\sqrt{3} }[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by [tex]\sqrt{3}[/tex] )
x = 3
3 is 6 1/2 of what number?
2. What number is 30% of 9?
3. What number is 42% of 30?
4. 54 is 4 1/2 of what number?
5. A drug label recommends 0.8 mg of a certain antibiotic per 2 mL of solution. At this rate, how many milligram of antibiotic should be added to 4.8 mL of solution?
Therefore, 3 is 6 1/2 of 19.5. Therefore, 30% of 9 is 2.7. Therefore, 42% of 30 is 12.6. Therefore, 54 is 4 1/2 of 243. Therefore, 1.92 milligrams of antibiotic should be added to 4.8 mL of solution at this rate.
To find the number that is 6 1/2 times 3, we can set up the equation: x = 6 1/2 * 3. Multiplying 6 by 3 gives us 18, and 1/2 of 3 is 1.5. Adding these results, we get x = 19.5. Therefore, 3 is 6 1/2 of 19.5.
To find 30% of 9, we multiply 9 by 0.30 (or 30% written as a decimal). The calculation is 9 * 0.30 = 2.7. Therefore, 30% of 9 is 2.7.
To find 42% of 30, we multiply 30 by 0.42 (or 42% written as a decimal). The calculation is 30 * 0.42 = 12.6. Therefore, 42% of 30 is 12.6.
To find the number that is 4 1/2 times 54, we can set up the equation: x = 4 1/2 * 54. Multiplying 4 by 54 gives us 216, and 1/2 of 54 is 27. Adding these results, we get x = 243. Therefore, 54 is 4 1/2 of 243.
If the recommended rate is 0.8 mg per 2 mL of solution, we can set up a proportion to find the amount of antibiotic for 4.8 mL: (0.8 mg / 2 mL) = (x mg / 4.8 mL). Cross-multiplying and solving for x gives us x = (0.8 mg / 2 mL) * 4.8 mL = 1.92 mg. Therefore, 1.92 milligrams of antibiotic should be added to 4.8 mL of solution at this rate.
Learn more about decimal here:
https://brainly.com/question/30958821
#SPJ11
3(x + 2) + 4(x - 5) = 10
solve x
3(x + 2) = 12
solve x
7(3 - x) = 8(4 - 2x)
solve x
8(x + 1) - 3(x + 4) = 7(2 - x)
solve x
7(x + 2) = 6(x + 5)
solve x
4(x + 2) = 48
siplfy
5x + 2(x - 3) = -2(x - 1)
Answer:
1. x=24/7
2. x=2
3. x= 11/9
4. x=3/2
5. x=16
6. x=10
7. x=8/9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
1. x=24/7
2. x=2
3. x= 11/9
4. x=3/2
5. x=16
6. x=10
7. x=8/9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Someone please help me please
Answer:
Step-by-step explanation:
12 boxes of hay
Answer:48 bunches of hay
Step-by-step explanation:4 hunches for $9, therefore 108/9=12 and 4x12=48 bunches of hay
find EG
please hurry i need help
Answer:
If both sides of the triangle are exactly equal (which can be assumed they are because of the right angle), then that means EF = FG
Given that information, we can determine that EF is 6.1.
Now, all you have to do is add 6.1 + 6.1 to get 12.2.
EG = 12.2.
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Use Scenario 3 above to answer the following question. The critical value is _______therefore we can______ the Null at the 40% level of significance
0.845, reject
2.33, not reject
0.255, reject
1.96, not reject
The critical value for the 40% level of significance is 1.96. Therefore, we can reject the Null hypothesis at the 40% level of significance.
In hypothesis testing, the critical value is used to determine the threshold for rejecting or not rejecting the Null hypothesis. The critical value depends on the desired level of significance and the distribution being used. In this scenario, we are conducting a one-sample t-test with a known population standard deviation.
To determine the critical value, we need to consider the level of significance. In this case, the level of significance is 40%, which corresponds to an alpha value of 0.40. Since the test is a one-tailed test (we want to test whether the mean waiting time is significantly more than 3 minutes), we divide the alpha value by 2, resulting in 0.20.
Using a t-distribution table or a statistical calculator, we find that the critical value for an alpha of 0.20 with degrees of freedom equal to the sample size minus 1 (99) is approximately 1.96.
Therefore, if the test statistic falls beyond the critical value of 1.96, we can reject the Null hypothesis at the 40% level of significance.
Learn more about statistic here:
https://brainly.com/question/32201536
#SPJ11
Determine the area under the standard normal curve that lies to the right of (a) Z=0.24. (b) Z=0.02, (c) Z=-0.49, and (d) Z=1.89. (a) The area to the right of Z = 0 24 is (Round to four decimal places as needed.) (b) The area to the right of Z=0.02 is (Round to four decimal places as needed.) (c) The area to the right of Z=-0.49 is (Round to four decimal places as needed.) (d) The area to the right of 2 = 1.89 is (Round to four decimal places as needed) Textbook Statcrunch MACBOOK AIR esc 80 F3 888 F1 F4 0 FS 52 ! 1 $ 2 # 3 4 % 5 6 & 7
The answer to the questions is given in parts.
The standard normal distribution is a normal distribution of data that has been standardized so that it has a mean of 0 and a standard deviation of 1.
The area under the standard normal curve that lies to the right of various values of Z can be calculated using a table of standard normal probabilities, or by using a calculator or computer program. Here, we are given four values of Z and we need to determine the area under the standard normal curve that lies to the right of each value. We can use a standard normal table or a calculator to find these areas.
(a) The area to the right of Z = 0.24 is 0.4052 (rounded to four decimal places).
(b) The area to the right of Z=0.02 is 0.4901 (rounded to four decimal places).
(c) The area to the right of Z=-0.49 is 0.6879 (rounded to four decimal places).
(d) The area to the right of Z=1.89 is 0.0294 (rounded to four decimal places).
Learn more about standard normal distribution here:
https://brainly.com/question/15103234
#SPJ11
Find the area of the shaded region.
Answer:嘿，我不知道答案，但這段文字很酷
Coffee is ordered weekly in bulk, and you must specify the number of pounds to order. You
must also choose coffee quality: good quality, high quality, or organic. Small cups use 1 shot of
espresso, medium use 2 shots, and large cups use 3 shots. It is estimated that each shot of
espresso requires approximately 7 grams of coffee, or about 1/64 of a pound—but you may
want to allow a bit extra in case your servers spill some. Thus, a large size would use
approximately 3/64 of a pound of coffee. Fresh coffee grounds are discarded immediately after
use. Any coffee left at the end of the week is discarded for quality and freshness reasons. If you
run short, local purchases are made at a higher cost than when ordering in bulk.
Given estimated sales of 2,000 cups of coffee per week, how many pounds of coffee should you buy? Explain in detail.
Based on estimated sales of 2,000 cups of coffee per week and the amount of coffee required for each cup size, it is recommended to purchase approximately 46.875 pounds of coffee.
To determine the amount of coffee needed for 2,000 cups of coffee per week, we need to consider the size of each cup and the amount of coffee required for each size.
According to the information provided, small cups use 1 shot of espresso, medium cups use 2 shots, and large cups use 3 shots.
Since each shot requires approximately 7 grams of coffee (or about 1/64 of a pound), a small cup would require approximately 1/64 of a pound, a medium cup would require approximately 2/64 (or 1/32) of a pound, and a large cup would require approximately 3/64 of a pound.
Let's calculate the total amount of coffee required for 2,000 cups based on these proportions. Assuming a certain distribution of cup sizes, we can estimate the average number of shots per cup.
Let's assume that 40% of the cups are small, 40% are medium, and 20% are large.
With these proportions, we can calculate the total amount of coffee required.
(0.4 * 2,000 * 1/64) + (0.4 * 2,000 * 2/64) + (0.2 * 2,000 * 3/64) = 62.5 + 125 + 46.875 = 234.375
Therefore, to meet the estimated sales of 2,000 cups of coffee per week, it is recommended to purchase approximately 46.875 pounds of coffee.
To learn more about total amount visit:
brainly.com/question/2683720
#SPJ11
Suppose that A and B are mutually exclusive events Select the correct answer below, O A. Since A and B are mutually exclusive events, then the probability that A or Boccur is 1. That is, P(A)*P(B)-1 OB. Since A and B are mutually exclusive events, then the probability that both A and B occur is O. That is, PA}{B} = 0, OC. Since A and B are mutually exclusive events, then the probability that A or B occur is 1. That is, PIA & B)=1, OD. Since A and B are mutually exclusive events, then the probability that both A and B occur is O. That is, P(A&B)=0
The correct answer is option D. Since A and B are mutually exclusive events, the probability that both A and B occur is 0. In other words, P(A&B) = 0.
When two events, A and B, are mutually exclusive, it means that they cannot occur simultaneously. If one event happens, the other event cannot happen at the same time. In this scenario, the correct answer is option D, which states that the probability of both events A and B occurring together is 0, i.e., P(A&B) = 0.
To understand this concept, consider a simple example. Let's say event A represents flipping a coin and getting heads, while event B represents flipping a coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, it is impossible for both events A and B to occur simultaneously. Therefore, the probability of both A and B occurring together is 0. In summary, when events A and B are mutually exclusive, the correct answer is option D, which states that the probability of both A and B occurring together is 0, i.e., P(A&B) = 0.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
You want to create a triangle with sides of a, b, and c. Which of the following inequalities should be true?
a+b c
a-b>c
a-b
please help is it 2/9?
Answer:
7/9
Step-by-step explanation:
7/9
Answer:
7/9
Step-by-step explanation:
Brainliest maaaybe? :)
find the remainder when f(x) = 2x3 − 12x2 11x 2 is divided by x − 5. (2 points) 7 −3 3 −7
The remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.
We can use the remainder theorem to find the remainder when a polynomial is divided by a linear factor.
The remainder theorem states that the remainder when a polynomial f(x) is divided by x - a is f(a). In this case, the polynomial is f(x) = 2x3 - 12x2 + 11x + 2 and the linear factor is x - 5. So, the remainder is f(5).
To find f(5), we can simply substitute x = 5 into the polynomial. This gives us f(5) = 2(5)3 - 12(5)2 + 11(5) + 2 = 7.
Therefore, the remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.
Learn more about remainder theorem here:
brainly.com/question/30242665
#SPJ11
2 1/3% as a mixed number in simplest form
Answer:
71
Step-by-step explanation:
what is the answer to
-6x+4(-2+8y)- 2y+ 4
Answer:
− 6 + 3 0 − 4
Answer:
do you mean simplify the expression?
-6x+4(-2+8y)- 2y+ 4
-6x - 8 + 32y - 2y + 4
-6x + 30y + 4 - 8
-6x + 30y - 4
Assume IQ scores are normally distributed with a mean of 100 and standard deviation 10. Determine the percent probability that a randomly chosen person as an IQ LESS THAN 90
The distribution of IQ scores is normal, with a mean of μ = 100 and a standard deviation of σ = 10.
Percentage of probability that a randomly selected person will have an IQ less than 90.Solution:We have to find the probability that a randomly selected person will have an IQ less than 90.Using the Z-score formula:Z = (X - μ) / σWhereX = 90μ = 100σ = 10Putting the values into the equation we have:Z = (90 - 100) / 10Z = -1
Using the standard normal distribution table we find that the area to the left of the z-score -1 is 0.1587.That means:P(Z < -1) = 0.1587To find the percentage, we convert it to a percentage by multiplying by 100.0.1587 × 100 = 15.87%Therefore, the probability that a randomly selected person will have an IQ less than 90 is 15.87%.
Know more about standard deviation:
https://brainly.com/question/29115611
#SPJ11
write the number thirty three in figures
Answer:
3x10 15x2 5x6
Step-by-step explanation:
1. Find
A) 35
B) 47.5
C) 67.5
D95
Answer:
find which one my guy im trying to get infinite awnseres srryyyyy
Step-by-step explanation:
3 feet
5 feet
4 feet
Answer:
Post the question along with this
Please answer correctly! I will mark you Brainliest!
Answer:
d=18 feet
Step-by-step explanation:
The volume of a sphere is represented by the equation [tex]V=\frac{4}{3}\pi r[/tex]³, where r is the radius. If the volume is 972[tex]\pi[/tex],
[tex]972\pi =\frac{4}{3}\pi r[/tex]³
Divide [tex]\pi[/tex] from each side,
[tex]972=\frac{4}{3} r[/tex]³
Multiply each side by 3/4 to get rid of the fraction,
[tex]r[/tex]³[tex]=729[/tex]
Using the cube root, we find that 729 is actually a perfect cube.
[tex]r=9[/tex]
Now, the diameter is 2 times the radius, so
9×2=18
So, the measure of the diameter is 18 feet.
Round off 793.545 to one decimal
Answer:
793.6
Step-by-step explanation:
793.545=793.55=793.6
Solve the below equations put the answer in radical form.
200 PTS AND BRAINLIEST!!!!!!!!!!!!!!!!TYYYYY!!!!!!!!!!!!nEEDASAP
(a) Andre is planning on renting a new apartment, but he wants to stay within his budget on rent and utilities. Andre is looking at an apartment. The apartment costs $1450 per month, plus $250 for utilities. Will this apartment fit within Andre’s budget? Show your work and explain your reasoning.
(b) How much more money does Andre budget for savings than for groceries and utilities combined? Show your work. Write your answer as a dollar amount.
Answer:
Apartment 1 is his best option
Answer: Apartment 1
Step-by-step explanation:
2) to find [h ] or [h3o ] antilog(- ph)= [h ] therefore if ph = 4.0 [h ] = 1 x 10-4 [h3o ] = 10^ -ph if ph = 4.8 [h ] = 1.6 x 10-5 steps on my calculator
To find the concentration of H+ or H3O+ ions ([H+] or [H3O+]) given a pH value , you can use the formula:
[H+] = 10^(-pH)
Let's calculate the values for two different pH values: pH = 4.0 and pH = 4.8.
For pH = 4.0:
[H+] = 10^(-4.0)
[H+] ≈ 1 × 10^(-4)
Therefore, the concentration of H+ ions ([H+]) at pH 4.0 is approximately 1 × 10^(-4) or 0.0001.
For pH = 4.8:
[H+] = 10^(-4.8)
[H+] ≈ 1.6 × 10^(-5)
Therefore, the concentration of H+ ions ([H+]) at pH 4.8 is approximately 1.6 × 10^(-5) or 0.000016.
Learn more about approximately here:
https://brainly.com/question/31695967
#SPJ11
Can you please help me
Answer:
7. 7.1+5.4+2.9=15.7
10.3+5.4=15.7
8. 373.4 - 152.9 = 220.5
373.4 - 153 = 220.4
220.4 - 0.1 = 220.5
9. 18.25 + 7.99 + 4.75 = 30.99
10. 1.05 + 3 + 4.28 + .95 = 9.28
11. 302.504
12 50.5