a
Suppose a person is standing on the top of a building and that she has an instrument that allows her to
measure angles of depression. There are two points that are 100 feet apart and lie on a straight line that is
perpendicular to the base of the building. Now suppose that she measures the angle of depression from the
top of the building to the closest point to be 33.5º and the angle of depression from the top of the
building to the furthest point to be 28.3º. Determine the height of the building. (Round your answer to the
nearest tenth of a foot.)
Answers
The building and the person on it are illustrations of elevation and depression
The height of the building is 76.9 feet
How to determine the height of the building?To calculate the building height, we make use of the attached illustration
Considering the triangle DCB in the figure, we have:
tan(B) = DC/BD
Substitute known values
tan(28.3) = DC/(DA + 100)
Cross multiply
(DA + 100) * tan(28.3) = DC
Divide both sides by tan(28.3)
DA + 100 = DC/tan(28.3)
Subtract 100 from both sides
DA = -100 + DC/tan(28.3)
Considering the triangle DCA in the figure, we have:
tan(A) = DC/DA
Substitute known values
tan(33.5) = DC/DA
Make DA the subject
DA = DC/tan(33.5)
Substitute DA = DC/tan(33.5) in DA = -100 + DC/tan(28.3)
DC/tan(33.5) = -100 + DC/tan(28.3)
Evaluate the tangent ratios
0.56DC = -100 + 1.86DC
Collect like terms
-1.86DC + 0.56DC = -100
Evaluate
-1.3DC = -100
Divide both sides by -1.3
DC = 76.9 feet
Hence, the height of the building is 76.9 feet
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Related Questions
find the value of n such that x^2-19x+n is a perfect square trinomial.
Answers
Answer:
1st option
Step-by-step explanation:
x² - 19x + n
using the method of completing the square
add ( half the coefficient of the x- term )² to x² - 19x
x² + 2(- [tex]\frac{19}{2}[/tex] )x + (- [tex]\frac{19}{2}[/tex] )²
with n = (- [tex]\frac{19}{2}[/tex] )² = [tex]\frac{361}{4}[/tex] , then
(x - [tex]\frac{19}{2}[/tex] )² ← a perfect square trinomial
An airplane company flies 45 airplanes daily. The CEO collects the following passenger counts for a random sample of airplanes
from the fleet, as shown below.
119, 138, 157, 85, 157, 119, 138, 119, 157, 85
Assuming that the sample is representative of the entire fleet of airplanes, what would be the mean daily passenger count per
plane?
A. 124.75
В. 135.9
C. 127.4
D. 128.5
Answers
Step by step:
Start with 10 flights it gives you
Assuming this data is rhe same for each 10 flights you should divide 45 by 10 to get an average of 4.5. (the amount of sets of 10 planes) You then use this number as a constant multiplying it by the number of planes with the same amount of passengers.(in this case 3 flights with 119 passengers) So that would look like this: 4.5 x 3=13.5 (the number of total flights with 119 passengers) Continue to do this with each number set, add them all up, and divide them by the total number of planes, 45.
Given that log Cart 2) + log, b=0 and ing (a-2) 16g, b=actl Show = "feetfiad Metult possible velers of a cand is where a, b er (a that 92 442480 an 2 it soln
Answers
Answer:
12+12 log2) b=34) 54+90)=10000+32+54=9000
Step-by-step explanation:
I know the answer I am a math tutor at Elomantry High Scholl Teaching for 6 years now
HELP ME PLEASE!!
Given: AABC is equilateral
Find the length of segment BC.
Answers
Answer:
D
Step-by-step explanation:
1) if sin(ACB)=BC/BD, then BC=BD*sin(ACB);
2) m(ACB)=60°, then sin(ACB)=√3/2, then
3) BC=5/(√3/2)=10/√3 or 10√3/3.
Riya has 5 times as many apples as Tyler. Together they have 24 apples. How many apples does Riya have?
Answers
Answer:
Riya have 20 apples
Step-by-step explanation:
Let, Tyler have x apples
Then, Riya have 5x apples
Now, From the question,
5x + x =24
or, 6x =24
or, x = 24/6
or, x = 4
Tyler have 4 apples
Again,
Riya have 5x apples
=5*4
=20
Therefore, Riya have 20 apples
survey showed that the probablity that an e
claimed that he could help place any employee in
id in a job that Is sultable for the employee Is 0.65. A psychometric test consultant
company decides to take this test. The test has an a
based on the result of a psychometric test. An employee working in a particular
rate of 70%. This data is represented in the tree diagram.
fest predicts that
the employee is in
probability that
the employee
is in the
test precicts t
wrong job
the employee is in
the wrong job
Select the correct answer.
Which of these probability values fit the tree diagram?
RA) = 0.35, P(6) = 0.65, RQ) = 0.70, P(O) = 0.30, P(E) = 0.30, P(A) = 0.70
O B. PA) = 0.35, P(6) = 0.65, A(Q) = 0.70, R,D) = 0.30, A8) = 0.70, RA = 0.30
O c.
14) = 0.35, P(6) = 0.65, PQ) = 0.30, P(O) = 0.70, RJ8) = 0.70, AA = 0.30
= 0.30, PA = 0.70
Answers
Answer:
A survey shows that the probability that an employee gets placed in a suitable job is 0.65. So, the probability he is in the wrong job is 0.35.The test has an accuracy rate of 70%. So, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test predicts it wrong is The probability that someone is in the wrong job and the test is right is
33. Construct a truth table to show that the following argument is valid.
pv q
~p
_____
.: Q
pleaseeeeeee
Answers
Answer:
see attached
Step-by-step explanation:
Perhaps you want to show that P∨Q will be equal to Q when ¬P is true. Attached is a truth table that shows this is the case.
__
This is simply a restatement of the logic of the OR function. When one its inputs is a logical 0 (false), the output depends on the other input(s).
Amelia is conducting a survey in their neighborhood about noise pollution.
Choose three things they should do to get a representative sample and check that it is representative.
Answers
Amelia should randomly choose people only in their block.
Amelia should ask people what part of the neighborhood they live in.
Amelia should ask people their age.
What is representative sample?A representative sample are data collected from small group of individual which can be use to represent a large population of people so as to reach a conclusion.
Most researcher tend to make use of representative sample when they want to draw a conclusion as it save time and reduce the stress of having to carryout survey on a larger population.
Therefore Amelia should randomly choose people only in their block.
Learn more about representative sample here:https://brainly.com/question/25142707
Answer:
heres what i got!
Help please fast ong im begging
Answers
Answer:
(x + 3)(x + 5)
Step-by-step explanation:
Find two numbers that multiply to 15 and add to 8.
The numbers are 3 and 5.
x² + 8x + 15 = (x + 3)(x + 5)
What is the volume of this container?
Answers
Answer:
6000 cm^3
Step-by-step explanation:
2(10 * 20 * 15) = 6000
to the nearest tenth what is the circumference of a bicycle tire with a radius of 11 inches? use 3.14 for pi
Answers
Step-by-step explanation:
Radius = 11 inches
⇒ Circumference = 2πr
⇒ Circumference = (2 × 3.14 × 11) inches
⇒ Circumference = 69 inches
need a good explanation, i dont get how to get the answer.
Fifteen years ago, Russell bought his house for $141,000. The house’s property value has decreased by 1.6% per year ever since then. If Russell sells his house, how much is it worth, to the nearest hundred dollars?
a.
$110,700
b.
$107,200
c.
$67,100
d.
$37,900
Answers
Answer:
141000 * (1 - 0.016)^15 = 110699.48 = A 110700
Step-by-step explanation:
1st year depreciation = 141000 - (141000 * 0.016) = 138744
2nd year depreciation = 138744 - (138744 * 0.016) = 136524.096
3rd year depreciation = 136524.096 - (136524.096 * 0.016) = 134339.710464
etc. unitl you reach the 15th year
Basically we calculate 1.6% of the current value of the house and subtract that from the current value for each year for 15 years.
The equation used in the answer is a faster way to approach your answer instead of calculating for each year.
You'd multiply your initial value by the difference in percentage (note well that since it is decreasing in value we subtract the decimal equivalent to 1.6% which is 0.016, from 1 where one represents 100% and then raise the difference gained to the power of the amount of years which would be 15.
hromosome 13 in the human body contains a DNA molecule that is about 3.19 centimeters long.
What is the combined length of 102 of these molecules?
Answers
Answer:3,190 centimeters
Step-by-step explanation:
math is easy
Find a degree 3 polynomial with real coefficients having zeros 3 and 1 − 4i and a lead coefficient of 1. Write P in expanded form.
Answers
[tex]\text{Let,}\\\\~~~~~~~x=1-4i,\\\\\implies x-1 = -4i\\ \\\implies (x-1)^2 =(-4i)^2\\\\\implies x^2 -2x +1 = -16\\\\\implies x^2 -2x +1 +16 = 0\\\\\implies x^2 -2x +17=0\\\\\text{So,}~ x^2 -2x +17 ~\text{is a factor of the 3 degree polynomial.}\\ \\\text{The polynomial is,}\\\\P(x) = (x-3)(x^2 -2x +17)\\\\~~~~~~~=x^3-2x^2+17x -3x^2 +6x -51\\\\~~~~~~~=x^3 -5x^2 +23x -51[/tex]
The expression 6 (Squared3)×4 (Squared 2) is equivalent to which of the following numerical expressions?
18 x 8
216 x 16
24 (Squared 6)
(6 x 4) (Squared5)
Answers
Answer:
216 x 16
Step-by-step explanation:
Given
6³ x 4²Simplify into prime factors.
(2 x 3)³ x (2²)²2³ x 3³ x 2⁴2⁷ x 3³128 x 273456Now, for it to be equivalent, on dividing 3456 by the product of the expression, the quotient should be 1.
Evaluating the options
18 x 8
3456 ÷ (18 x 8)3456 ÷ 14424Incorrect216 x 16
3456 ÷ (216 x 16)3456 ÷ 34561Correct24⁶
3456 ÷ 24⁶3456 ÷ 191102976Answer will be less than 1, so this isn't itIncorrect(6 x 4)⁵
3456 ÷ (6 x 4)⁵3456 ÷ (24)⁵3456 ÷ 7962624Here also the quotient will be less than 1Incorrect216 x 16 is the correct answer
A certain laptop is really popular and sells for $209. Since sales are so good, the store raises the price by 12%. What is the cost of the laptop after the markup?
Answers
Rewrite the fraction with the indicated denominator.
Answers
Answer:
I believe the answerwould be 18/21.
Please let me know if I'm correct!
Hope this helps you!
Hey there!
6/7 = ?/21
= 6/7 = x/21
CROSS MULTIPLY the FRACTION
6(21) = x(7)
6(21) = 7(x)
126 = 7x
7x = 126
DIVIDE 7 to BOTH SIDES
7x/7 = 126/7
CANCEL out: 7/7 because it give you 1
KEEP: 126/7 because it help solve for the x-value
NEW EQUATION: x = 126/7
SIMPLIFY IT!
x = 18
Therefore, your answer is: 18
BECAUSE 18/21 is equivalent to 6/7 and they both give you approximately 86% (or simply 0.86) if you’re rounding your percentage/decimal form
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
what is 3/4 in a percent
Answers
Answer:
75%
Step-by-step explanation:
Convert the fraction into a decimal number. Multiply the obtained decimal number by 100, to get a percent value.
Answer:
3/4 in a percent is 75%
Step-by-step explanation:
To change a fraction to a decimal you divide the numerator by the denominator. In this case that would be 3 divided by 4 which is 0.75, to change the decimal to a percent you move the decimal two places to the right.
-10.3r = 1.03 what is R?
Answers
Answer:
r= -0.1
Step-by-step explanation:
IM NOT SURE HOW TO SOLVE THIS CAN SOMEBODY HELP ME
Answers
Answer:
The y-intercept is the point (0, 128).
The x-intercepts are the points (-4, 0) and (-8, 0).
As x → ∞, y → ∞.
As x → -∞, y → -∞.
Step-by-step explanation:
To find the y-intercept, substitute 0 for x and solve for y.
P(x) = (x + 4)²(x + 8) P(0) = (0 + 4)²(0 + 8)P(0) = (4)²(8)P(0) = 16 * 8 P(0) = 128The y-intercept is (0, 128).
To find the x-intercept, substitute 0 for y and solve for x.
0 = (x + 4)²(x + 8)Set the first term, (x + 4)², equal to 0.
0 = (x + 4)²0 = x + 4 -4 = xx = -4Set the second term, (x + 8), equal to 0.
0 = x + 8 -8 = xx = -8The x-intercepts are the point (-4, 0) and (-8, 0).
Look at the degree and leading coefficient of the polynomial to determine the end behavior, and therefore you can determine how y behaves as x gets closer to infinity.
Since the degree of the polynomial is odd (3) and the leading coefficient is positive, the graph falls to the left and rises to the right.
So, as x → ∞, y → ∞ and as x → -∞, y → -∞.
If you want to verify this, plug the equation into your calculator and look at the graph. How does it behave as you look at negative x-values? How about for positive x-values?
How is 1-n/2n-2 written in lowest terms
Answers
Answer:
- 1/2
Step-by-step explanation:
I assume this is (1-n) / (2n-2)
(1-n) / (-2)(1-n)
-1/2
find the volume of 20m, 5m, 18m
Answers
Answer:
600 m³
Step-by-step explanation:
The shape we have is a rectangular pyramid:
Formula: (volume of a rectangular pyramid)
Volume = (1/3) × Base Area × height
___________________________
In our case :
Base area = L × W = 20 × 18 = 360 m²
height = 5 m
⇒ Volume = (1/3) × Base Area × height
[tex]\Longrightarrow \text{volume} \ =\ \frac{1}{3} \times 360\times 5[/tex]
[tex]\Longrightarrow \ \text{volume} \ =\ 600\ m^{3}[/tex]
Which is an example of why higher education typically has a positive return on investment (ROI)?
The jobs you can get with higher education will earn more money than jobs without a degree or certificate.
Higher paying jobs come with experience, not with earning a degree or certificate.
Higher education usually results in a lot of debt which can be difficult to afford.
The highest paying jobs come with a high school diploma which is an important reason to finish high school.
Answers
Answer:
Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.
Step-by-step explanation:
The jobs you can get with higher education will earn more money than jobs without a degree or certificate.
What is return on investment?The term return on investment refers to the profit that one makes from an investment. Higher education is a very profitable investment for an individual.
here,
Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.
The jobs you can get with higher education will earn more money than jobs without a degree or certificate.
The example of why higher education typically has a positive return on investment (ROI) is the jobs you can get with higher education will earn more money than jobs without a degree or certificate.
Learn more about ROI:
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30 POINTS FOR THE BRAINLIEST!!! Find the indicated measures, given that
EA is a diameter.
a) mDEF=
b) mEFG=
c) mAC=
d) Explain how you found each angle measure below. Be sure to show all of your work.
Answers
mEFG=70
mAC=28
180-(110+31)=39
152-39=113
180-152=28
Please help me with this question
Answers
Where is the question?
PLEASE HELP 20 POINTS AND BRAINLIEST
Answers
Answer:
5/6, 0.83 or 83%
Step-by-step explanation:
Answer:
Probabilities
Decimal: [tex]0.91[/tex]
Fraction: [tex]\frac{91}{100}[/tex]
Percentage: [tex]91[/tex]%
Step-by-step explanation:
Writing out information
2 comedy CDs
3 science-fiction CDs
7 adventure CDs
10 random CDs
22 total CDs
The chosen CD is not a comedy.
Solving probability for each
Decimals rounded to nearest 100th
Comedy:
[tex]2:22\\0.09\\\frac{2}{22}[/tex]
Science-fiction:
[tex]3:22\\0.14\\\frac{3}{22}[/tex]
Adventure:
[tex]7:22\\0.32\\\frac{7}{22}[/tex]
Random:
[tex]10:22\\0.45\\\frac{10}{22}[/tex]
Finding the total of the non-comedy
[tex]0.14+0.32+0.45=0.91[/tex]
[tex]0.91=91[/tex]%
Conclusion
Probabilities
Decimal: [tex]0.91[/tex]
Fraction: [tex]\frac{91}{100}[/tex]
Percentage: [tex]91[/tex]%
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
x=124
y=124
Step-by-step explanation:
if the number next to x is 56
180-56=124
x=124
and x=y
if that is the whole question
Frank got a gift for his sister and put it in a shoebox.
+
Note: Figure is not drawn to scale.
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 10 in, the width measures 5 in, and the height
measures 4 in, how much wrapping paper does he need to cover the shoebox?
OA 330 sq in
ОВ.
110 sq in
OC. 440 sq in
OD. 220 sq in
Answers
Answer:
200
Step-by-step explanation:
Length times width to get the base 10 x 5 = 50 With the base multiply it by the height to get 50 x 4 = 200
What is the answer?
2/5 + 3/4
Answers
Take LCM
5×4=20Now
2/5+3/48+15/2023/20Answer:
23/20
Step-by-step explanation:
2/5 + 3/4
LCM = 5 * 4 = 20
=》2/5 * 4/4 = 8/20
=》3/4 * 5/5 = 15/20
So,
2/5 + 3/4
= 8/20 + 15/20
= 23/20
_________
Hope it helps ⚜
Two angles are complementary (the sum of the two angles is 90°). The sum of the first
angle plus twice the second angle is 128°. Find the measures of the angles.
Answers
Answer:
A = 52º AND B=38º
Step-by-step explanation:
Let's call A and B the two angles.
First condition: A + B = 90º
Second cond: A + 2B = 128º
Subtract the first condition to the second: B = 38º
Replace the value of B in any of the 2 conditions; e.g. in the first.
A + 38º = 90º
A = 90º - 38º = 52º