At a given point 67.7ft at ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees find the height of the roof worker and the distance of the ø if someone is observing below.
The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.
The base will be calculated as:-
tan(38.6) = P / B
tan(38.6) = 67.7 / B
B = 67.7 / tan(38.6)
B = 54.8 ft
The height will be calculated as:-
Cos(42.4) = B / H
H = 84.8 / Cos(42.4)
H = 114.83 ft
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The circumference of the smaller circle is 20% of the circumference of the larger circle. Find the circumference of the larger circle. Round your answer to the nearest tenth.
The circumference of the larger circle is 94.3 inches.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
Let's call the radius of the larger circle "R" and the radius of the smaller circle "r".
Since the circumference of the smaller circle is 20% of the circumference of the larger circle, we have:
2πr = 0.2 × 2πR
Dividing both sides by 2π:
r = 0.2 × R
Since the diameter of the smaller circle is 6 inches, we have:
2r = 6
So:
r = 3
And, since r = 0.2 R:
3 = 0.2 × R
Solving for R:
R = 15
So the circumference of the larger circle is:
C = 2πR = 2π × 15 = 94.25
Rounding to the nearest tenth, the circumference of the larger circle is 94.3 inches.
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You live in a big apartment. The bedroom is 15 by 20 feet. Calculate the area of your bedroom.
a.
100 sq. ft
c.
180 sq. ft
b.
300 sq. ft
d.
70 sq. ft
Answer:
The answer is B 300 sq. ft.
Step-by-step explanation:
If you multiply 15 by 2 you were to get 30 but since it is 15 multiplied by 20 instead its like adding a 0 at the end of the number so we change 30 to 300.
Hope this helps :)
7. Wr ite a multiplication equation that represents the question: how many 2/5s are in 9/4?* Your answer
Answer:
how many 2/5s are in 9/4? - it would be two
hope this helps
Write an equation for the function graphed below
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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the measure of an angle is 144.5 degrees what measure of it supplementary angle?
Answer:
180-144.5= 35.5
Explanation:
Supplementary means two angles add up to 180 degrees.
so 180-144.5= 35.5
Hope it helps you.
solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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what is the equation in slope intercept form?
Answer:
y=-x+3
Step-by-step explanation:
rise/run
-1/1
-1
HELPPP ASPA 60 POINT!!!!!Show to draw a line segment that measures 92 millimeters. i need it to be in words not a photo please
A line segment that measures 92 millimeters in length can be drawn using scale.
Given that,
A line segment has to be drawn which has a measure of length 92 millimeters.
We know that,
10 millimeters = 1 centimeter
1 millimeter = 1/10 centimeters
92 millimeters = 92/10 = 9.2 centimeters
So it is enough to draw a line segment of length 9.2 centimeters.
In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.
In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.
So draw a line segment starting from 0 to 9.2.
Hence the line segment is drawn with scale.
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What’s the 4th term in the sequence?
The fourth term of the sequence is -18.
What is arithmetic progression? How do you respond to arithmetic progression?In arithmetic progression, the first term is denoted by "a", the last term by "l", the common difference of two terms is denoted by "d", and the number of terms by "n". To find the sum of an arithmetic progression, we must know the first term (a), the number of terms (n), and the common difference (d) between successive terms. Then substitute the values Sn = n/2[2a (n − 1) × d].
To find the 4th term of the sequence, we can simply substitute n = 4 instead of the nth term in the formula:
a(4) = -6 - 4 (4-1)
= -6 - 4 (3)
= -6 to 12
= -18
Therefore, the fourth term of the sequence is -18.
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The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago. The following table shows the approximate number of tiger gars living in the lake since 2016:
2016 2017 2018 2019 2020 2021
322 399 507 618 785 975
Using the TI-nspire calculator, write an exponential function that models the population of tiger gar in the lake. (Round all numbers to the nearest hundredth.)
y=blank(blank)x
The exponential function that models the population of tiger gar in the lake is given as follows:
\(y = 322.63(1.25)^x\)
How to define an exponential function?An exponential function has the definition presented as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.Considering x as the number of years since 2016, the points are given as follows:
(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).
Inserting these points into an exponential regression calculator, the equation is given as follows:
\(y = 322.63(1.25)^x\)
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What are two fractions between 1/2 and 1?
Answer:
3/4 and 10/12
Step-by-step explanation:
can i get brainliest please???
it would be very much appreciated
have a nice day :)
HELLLP FAST
Mathamatics
Answer:
512 ft and 1,232 ft
Step-by-step explanation:
area is length x width
the pool's area can be calculated doing 32ft x 16ft
the area of the pool is 512 ft
the deck's area can be calculated doing 28ft x 44ft
the area of the deck is 1,232 ft
you're welcome<3
4x4 + 2x
Pleaseeeeee helpppp
Answer:
2x (2x³ + 1)
Step-by-step explanation:
To get the answer factor 2x^1 / 2x of ( 4x^4 + 2x )
When you factor an expression, you are looking for a number which can perfectly divide into another number.
Remember that the numerical timetable states that (2 x 2 = 4).
And we already know that (2 divided by 4 = 2), as well as, that any rational number divided by itself is equal to 1
Therefore the value 2x is divisible by itself and is also divisible by 4x^4 exactly two times
Note: the reason why (4x^4 ÷ 2x ) becomes (2x³), is that you have to subtract the exponents of each term from each other after you finish dividing. So ( X^4 - X^1 = X^3) -
Always remember that any term in a polynomial expression which doesn't have a visible power attached to it is already at the first power
Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
Determine the slope of the secant line (on the right).
The value of slope of the secant line is, 6
We have to given that;
The graph of line are shown in figure.
Now, Take two points on the secant line is,
⇒ (0, 0) and (0.1, 0.6)
Hence, The slope of the secant line is,
m = (0.6 - 0) / (0.1 - 0)
m = 0.6 / 0.1
m = 6/1
m = 6
Thus, The value of slope of the secant line is, 6
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how do I solve this screen shot
Answer:
add me as a friend and give me thanks
Step-by-step explanation:
the answer is A for sure
Find the value of x in the following diagram.
\(x = 3.5 \\ solution \\ the \: chord \: of \: same \: length \: has \: same \\ distance \: from \: center \\ so \\ 3x + 1 = x + 8 \\ or \: 3x - x = 8 - 1 \\ or \: 2x = 7 \\ or \: x = \frac{7}{2} \\ x = 3.5 \\ hope \: it \: helps\)
5th grade math. correct answer will be marked brainliest
Answer:
7/12 teaspoons
fraction
Step-by-step explanation:
Amount of salt that would be used = 1\(\frac{3}{4}\) x \(\frac{1}{3}\)
Convert \(1\frac{3}{4}\) to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
(1 x 4) + 3 = \(\frac{7}{4}\)
7/4 x 1/3 = 7/12
How much smaller is x−3 than x+4?
Answer: bsf google
Step-by-step explanation: go to google look it up and find the answer
Answer:
x-3
Step-by-step explanation:
It's x-3 because if you put 12-3 it will be 9 but if you add x+4 it will be 16
Select the correct answer.
A six-sided falr die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?
O A 113
och
OE
Next
Reset
M
Answer: 1/3
Step-by-step explanation: :)
MATH HELP! 22 points
Answer:
im sorry
Step-by-step explanation:
Which relationships describe angles 1 and 2?
Select each correct answer.
vertical angles
supplementary angles
adjacent angles
complementary angles
Answer:
choice 4
Step-by-step explanation:
complementary angles sum to 90
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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Two friends are collecting stuffed animals Veronica has 5 more than
Answer:
subtraction... we need the rest of the question.
Step-by-step explanation:
:/
What is the name of the shape depicted in the graph below?
A. Limaçon
B. Lemniscate
C. Rose
D. Cardioid
Answer: Lemniscate
Step-by-step explanation:
The name of the shape depicted in the graph is Lemniscate option (B) is correct.
What is lemniscate?It is defined as a two-dimensional shape that has a two-closed curve that meets at the center. The shape exactly looks like a mathematical symbol infinity ∞
The lemniscate is a Greek word that means a ribbon because the shape looks like a ribbon.
The algebraic equation for the lemniscate is given by:
\(\rm \left(x^{2}+y^{2}\right)^{2}=a \left(x^{2}-y^{2}\right)\)
Where a is the constant.
If we put x = 0 and a = 1 we get y = 0
If we put x = 1 and a = 1 we get y = 0
If we put x = -1 and a = 1 we get y = 0
And so on we will get a curved shape shown in the picture.
Thus, the name of the shape depicted in the graph is Lemniscate option (B) is correct.
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Nyashid
Solving n/3 - 1 = 8
N/3-1 = 8 in the
Click New. You should now see the equation
Gizmo.
Step One: This equation has two operations, division an
subtraction. Which operation should you undo first?
Choose (drag) the correct step in the
Gizmo
Step Two: What operation should you undo next?
Choose (drag) the correct step in the Gizmo.
Stop & Check: Substitute your solution for n in the equation and
evaluate. Does your solution produce a true statement? If so, your
answer is correct!
TolutionWhat is the solution to n/3-1 = 8?
Step-by-step explanation:
first you need to tranfer 1 to RHS do the addition
n/3 = 8+1
=) n/3 = 9
then you need to transfer 3 to RHS and multiply
=> n = 9 x 3
there for n = 27
Simplify. Write the expression using only positive exponents. 3t^6 times 8t^-6
Answer:
The expression simplifies to 24.
Step-by-step explanation:
3 * 8 * t^6 * t^(-6)
= 24 * t^(6 + (-6))
= 24 * t^(0)
= 24 * 1
= 24
(-82)+(-47)-(+33)do u all know this answer
Answer:
-157
Step-by-step explanation:
Answer: -162
Hope this helps you
Step-by-step explanation:
subtract and add
translate the equation 49 is what percent of 66?
Answer:
49 ÷ 66 × 100= x
Step-by-step explanation: