From a horizontal distance of 80.0 m, the angle to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a meter.
1. 24.7 meters
2. 76.1 meters
3. 26.0 meters
4. 25.3 meters
Answer:
The figure is omitted--please sketch it to confirm my answer.
Set your calculator to degree mode.
Let h be the height of the flagpole.
\( \tan(18) = \frac{h}{80} \)
\(h = 80 \tan(18) = 25.994\)
The height of the flagpole is approximately 26.0 meters. #3 is correct.
the choice on an appropriate graphical display will depend on three things: the number of variables in the data set, the data type, and the purpose of the graphical display. for each of the following graphs, determine the variable number, the type of data, and the purpose of the display.
Sure, I can help you with that! For the first graph, it's difficult to provide an answer without seeing the actual graph, but generally speaking, we need to determine the variable number, the type of data, and the purpose of the display. The variable number refers to the number of variables being represented in the graph, and the type of data refers to whether the data is qualitative or quantitative. The purpose of the display refers to what we're trying to communicate or show with the graph.
For example, if we were looking at a scatter plot, we could say that there are two variables being represented (x and y), the data is quantitative, and the purpose of the display is to show the relationship between the two variables.
Similarly, if we were looking at a bar graph, we could say that there is one variable being represented (the categories on the x-axis), the data is qualitative, and the purpose of the display is to compare the values of different categories.
In general, the choice of an appropriate graphical display will depend on the three factors mentioned earlier, so it's important to consider these factors when creating or interpreting a graph.
Evaluate u +xy, for u = 12,x = 7, and y = 4
Answer:
40
Step-by-step explanation:
Plug in 12 for u, 7 for x, and 4 for y in the given expression:
u + xy = 12 + (7)(4)
Remember to follow PEMDAS. First, multiply, and then add:
u + xy = 12 + (7 * 4) = 12 + (28) = 40
40 is your answer.
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(ANSWER ASAP) Solve the inequality.
Answer:
Step-by-step explanation:
k ≤ -3-8 subtract 8 from both sides
k ≤ -11
the solution is the area to the left of a vertical line trough the point x= -11 and includes thhe line
Find the length of the segment JK in the parallelogram below.
Answer:
24
Step-by-step explanation:
knowing a parallelogram, JK = ML
so,
14 + 2x = 5x – 1
2x – 5x = –14 –1
–3x = –15
3x = 15
x = 5
substitute x=5 into 14 + 2x
14 + 2(5) = 24
what is the one-way analysis of variance used to test for? what is the one-way analysis of variance used to test for? equality of three or more population means equality of three or more population proportions equality of three or more sample means equality of three or more population variances
Main Answer:The correct answer is "equality of three or more population means."
Supporting Question and Answer:
What is the purpose of the one-way analysis of variance (ANOVA) test?
ANOVA helps to assess whether these differences are statistically significant by comparing the variation between the groups to the variation within the groups.
Body of the Solution:The one-way analysis of variance (ANOVA) is used to test for" the equality of three or more population means". ANOVA compares the variation between the groups (due to differences in means) to the variation within the groups (due to individual differences within each group) to assess whether the observed differences in means are statistically significant. Therefore, the correct answer is:
"equality of three or more population means."
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An environmental charity set a target to plant trees on 9000 m² of land in
September.
In September, it planted trees on 0.017 km² of land.
4
a) What area of land did the charity plant trees on? Give your answer in m²
b) Did it reach its target?
The area of land the charity planted was 17000 m². The charity met its target
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
1 km = 1000 m
1 km² = 1000000 m²
An environmental charity set a target to plant trees on 9000 m² of land in September.
In September, it planted trees on 0.017 km² of land. Hence:
Area of land planted = 0.017 km² * 1000000 m² per km² = 17000 m²
17000 m² is greater than 9000m². The charity met its target
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Emanuel can skateboard 3.375 miles against a 2-mph wind in the same amount of time he skateboards 6.375 miles with a 2-mph wind. Find the speed Emanuel skateboards with no wind.
Answer:
6.5 mph
Step-by-step explanation:
Given that :
Emanuel can skateboard 3.375 miles against a 2-mph wind in the same amount of time he skateboards 6.375 miles with a 2-mph wind. Find the speed Emanuel skateboards with no
Wind speed = 2mph
Let time taken to skateboard = t
Speed = distance / time
Distance of 3.375miles against 2 mph wind
Let skate speed = x
skate speed - wind speed=
(3.375 miles / t) + 2mph = x - - - (1)
Distance of 6.375miles with 2 mph wind
(6.375 miles / t) - 2 mph = x - - - - (2)
Equate (1) and (2)
(6.375/ t) - 2 = (3.375/ t) + 2
(6.375 - 3.375) / t = 2 + 2
3 / t = 4
3 = 4t
t = 3/4
t = 0.75
Hence, speed without wind will be :
(3.375 miles / 0.75) + 2mph = x
4.5mph + 2mph = 6.5 mph
Find the Perimeter of the figure below, composed of an isoceles trapezoid and one semicircle. Rounded to the nearest tenths place
27.3
Step-by-step explanation:
Here, we can add the outside sides of the trapezoid, which are already given:
6 + 6 + 9 = 21
Then for the circle, we can find half of the circumference with πr. The diameter of the circle is 4 (given), so the radius (half the diameter) is 2.
Thus,
π(2) ≈ 6.28
By adding all of these parts, you get
21 + 6.28 = 27.28
Which, rounded to the tenths is 27.3
Answer:
52.4
Step-by-step explanation:
The perimeter of a Trapezoid:
P=a+b+c
6+15+8+8=37
The perimeter of a semicircle:
\(L=\pi r+d= 3\pi+6\\=15.4248 \\=15.4\)
Add both together:
37+15.7=52.4
The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the building. How high is the observatory above the ground?
Answer:
1,050 ft
Step-by-step explanation:
Find the probability of getting all heads when flipping a coin 3 times.(write your answer as a reduced fraction)
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Use a probability tree to show the possible outcomes for flipping a coin 3 times
STEP 2: Write the required number of outcomes
\(\begin{gathered} number\text{ of total outcomes}=8 \\ All\text{ heads}=(HHH) \\ n(All\text{ heads\rparen}=1 \end{gathered}\)STEP 3: Calculate the probability of getting all heads
\(\begin{gathered} Probability(All\text{ heads\rparen}=\frac{number\text{ of All head}}{number\text{ of total outcomes}} \\ Pr(All\text{ heads\rparen}=\frac{1}{8} \end{gathered}\)Hence, the probability of getting all heads when flipping a coin 3 times is 1/8
(›)
Which is more, 1 tablespoon or 2 teaspoons?
Answer: 1 tablespoon
Step-by-step explanation:
You decide to save up for a big trip and deposit 1491 in a special vacation account today. If your account earns 5.07% annually, how much will you have available to spend in 6 years? Round to two decimal places (Ex. $0,000.00)
You will have approximately $1929.29 available to spend in 6 years.
To calculate the future value of your deposit after 6 years, we can use the formula for compound interest:
Future Value = Present Value * (1 + Interest Rate)^Time
Plugging in the values:
Present Value (PV) = $1491
Interest Rate = 5.07% = 0.0507
Time = 6 years
Future Value = $1491 * (1 + 0.0507)^6
Calculating the expression:
Future Value = $1491 * (1.0507)^6
Future Value ≈ $1929.29
Therefore, you will have approximately $1929.29 available to spend in 6 years.
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Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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how many ways are there to put $4$ balls into $3$ boxes, given that the balls are not distinguished and neither are the boxes?
Answer:
Step-by-step explanation:
think that there are 15 ways ... call the boxes A, B, and C.
You could put all four b***s into either box A, or box B, or box C ---> 3 ways.
You could put three ball into one box and the other ball into another box:
-- 3 into A, 1 into B, 0 into C; or 3 into A, 0 into B, 1 into C; or 1 into A, 3 into B, 0 into C; or 1 into A, 0 into B, 3 into C; or 0 into A, 3 into B, 1 into C; or 0 into A, 1 into B, 3 into C ---> 6 ways
You could put two balls into one box and the other two balls into another box:
-- 2 into A, 2 into B, 0 into C; or 2 into A, 0 into B, 2 into C; or 0 into A, 2 into B, 2 into C ---> 3 ways.
You could put two b***s into one box and one ball into each of the other two boxes:
-- There are three boxes that could get the two b***s ---> 3 ways
Total: 3 + 6 + 3 + 3 = 15 ways.
What is the exact circumference of a circle that has a radius of 5 cm?
Answer:
0.796 (simplified) 10π (not simplified)
Step-by-step explanation:
The formula for the circumference of a circle is
2πr so we have to do is plug in 5 for our radius:
2π(5) equals .796 or can be left as 10π.
The exact circumference of a circle that has a radius of 5 cm will be 31.4 centimeters.
What is the circumference of a circle?The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle.
Then the circumference of the circle will be
Circumference = 2πr units
The radius of the circle is 5 centimeters.
Then the circumference of the circle will be
Circumference = 2πr
Circumference = 2π (5)
Circumference = 10π
We know that the value of π will be 3.14 approximately. Then we have
Circumference = 10 x 3.14
Circumference = 31.4 centimeters
The exact circumference of a circle that has a radius of 5 centimeters will be 31.4 centimeters.
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Please help with this math problem!
The equation of the ellipse is x^2/9 + y^2/6.75 = 1
Finding the equation of the ellipseTo find the equation of an ellipse, we need to know the center, the major and minor axis, and the foci.
Since we are given the eccentricity and foci, we can use the following formula:
c = (1/2)a
Since the foci are (0, +/-3), the center is at (0, 0). We know that c = 3/2, so we can find a:
c = (1/2)a
3/2 = (1/2)a
a = 3
The distance from the center to the end of the minor axis is b, which can be found using the formula:
b = √(a^2 - c^2)
b = √(3^2 - (3/2)^2)
b = √6.75
So the equation of the ellipse is:
x^2/a^2 + y^2/b^2 = 1
Plugging in the values we found, we get:
x^2/3^2 + y^2/6.75 = 1
Simplifying:
x^2/9 + y^2/6.75 = 1
Therefore, the equation of the ellipse is x^2/9 + y^2/6.75 = 1
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Find the interest for the given dates to the nearest cent. 6,150 dollars at 9% for 12/5 to 12/30 Please help! :)
Answer:
the interest is about 29.78.
Step-by-step explanation:
assuming It is at 9% per year,
6150*0.09*25/31/12=
553.5*0.08065/15=
553.5*0.0538=
29.7783 which is about 29.78
Find g(f(4)) g(f(4)) =
(edg)
Answer:
Is the answer 9 .please mark me as brainliest
Determine whether the planes are parallel, perpendicular or neither. 2x − 4y + 3z = 5, x + 8y + 10z = 3
Answer:
perpendicular
Step-by-step explanation:
separate the two equations
First equation in the form y=mx+c
4y=2x+3z
y=1/2x+3/4z
second equation in the form y=mx+c
8y=3-5x-10z
y=3/8-5/8x-10/8z
Help me with this pls show work
3x + y = 10
x - 4y = -1
Multiply the 2nd equation by -3
-3x +12y = 3
Add the 1st equation to the 3rd equation:
13y = 13
Divide both sides by 13:
y = 1
Answer: A) 1
As a promotion, the first 50 customers who entered a certain store at a mall were asked to choose from one of two discounts. The first discount choice was 20% off all purchases made that day. The second discount choice was 10% off all purchases for the week. Of those who received the discounts, 28 chose the first discount and 22 chose the second discount. One customer will be selected at random from those who received a discount. Let.
Option(a) Yes, F and S are mutually exclusive because P (FNS) = 0.
Given in the question:
50 customers asked to choose from one of two discounts
The first discount choice=20% off all purchases made that day
The second discount choice=10%off all purchases for the week
Chose the first discount = 28
Chose the second discount = 22
Two events are mutually exclusive if they cannot occur at the same time.
Yes, F and S cannot occur simultaneously if they are mutually exclusive, so in case of mutually exclusive, F represents the first discount, S represents the second discount, P (FNS) = 0.
Question:As a promotion, the first 50 customers who entered a certain store at a mall were asked to choose from one of two discounts. The first discount choice was 20% off all purchases made that day. The second discount choice was 10% off all purchases for the week. Of those who received the discounts, 28 chose the first discount and 22 chose the second discount. One customer will be selected at random from those who received a discount. Let F represent the event that the selected person chose the first discount, and let S represent the event that the selected person chose the second discount. Are F and S mutually exclusive events? A) Yes, because P (FNS) = 0. B) Yes, because P (FnS) = 0.12. Yes, because P (F nS) = 1. D) No, because P (FnS) = 0. E No, because P(F OS) = 1.
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Which of the following is the radical expression of 2 times d to the seven tenths power?
Answer:
2d^0.7
Step-by-step explanation:
Kate wants to install an in ground pool in five years. she estimates the cost will be $50,000. how
much should she deposit monthly into an account that pays 1.6% interest compounded
monthly in order to have enough money to pay for the pool in 5 years? round your answer to
the nearest dollar.
Answer:
Step-by-step explanation:
Kate should deposit $46,158.28 monthly into an account
In this question, we have been given the amount A = $50,000,
interest rate R = 1.6%
period t = 5 years
We need to find the principal amount (P)
First, convert R as a percent to decimal
r = 1.6/100
r = 0.016
Using the formula of compound interest for P,
P = A / (1 + r/n)nt
P = 50,000.00 / (1 + 0.016/12)(12)(5)
P = $46,158.28
Therefore, Kate should deposit $46,158.28
What is the ratio of yellow paint to the red paint
Someone help please!!
Answer:
Step-by-step explanation:
3x + 153x - 15-3x - 15-3x + 1515 + 3x15 - 3xx² + 5x10x - 2x² + 2xyhope it helps:)
Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?
Answer:
540
Step-by-step explanation:
546-56=490
490+17+30=537
537+3=540
What will be the default location of the click point of the cursor if no coordinates have been assigned to it?a. (x, 0)b. (0, 0)c. (0, y)d. (x, y)
However, in some cases, the default location of the click point may be set by default to the top-left corner of the screen or window, which would correspond to the coordinate (0, 0) in a Cartesian coordinate system.
If no coordinates have been assigned to the cursor, the default location of the click point will depend on the program or application being used. In most cases, the default location will be the center or starting position of the screen or window in which the program is running, which could be any location on the screen. Therefore, none of the options provided is necessarily correct.
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Please help me on this and I will give you BRIANLEIST-Thank You ^ ^
Answer: 1/7 is the answer
Find a value of the constant k such that the indicated limit exists. 3x – 4 lim x+ ekx + 1" k= (If any value of k will work, enter any; if none will work, enter none.) Are there any other values of k that will work? ? A
There will be a vertical asymptote at x = infinity. This can only occur when k = 3/4, so there are no other values of k that will work. Hence, the answer is none.
The given limit is 3x – 4 li m x+ e k x + 1 and we need to find a value of the constant k such that the limit exists.
Using L'Hopital's Rule, we can calculate the limit:3x – 4 li m x+ ek x + 1 = (3 - 4k) / k when x approaches to infinity (since the denominator approaches infinity and the numerator is a constant, 3-4k).To exist, the limit must be finite, and since we have a denominator of k, it is equivalent to setting 3 - 4k = 0, hence k = 3/4.
Therefore, the value of the constant k such that the indicated limit exists is k = 3/4.Any other values of k that satisfy the condition that the limit exists must make the numerator equal to zero, or there will be a vertical asymptote at x = infinity. This can only occur when k = 3/4, so there are no other values of k that will work. Hence, the answer is none.
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