From a distance of 113 m, the angle of elevation to the top spire of a tower is 31°.
How high is the tower to the nearest metre?

From A Distance Of 113 M, The Angle Of Elevation To The Top Spire Of A Tower Is 31.How High Is The Tower

Answers

Answer 1

Answer:

68m

Step-by-step explanation:

Right angled trigonometry. Opposite = Tan * Adjacent

Opposite = Tan(31) * 113m

Opposite = 68m (Rounded up)

If you struggle with Right-angled trigonometry try and watch some videos on it. It will help in your work and exams (SAT's or GCSE's).

Hope this helps :)


Related Questions

One of the two numbers ends in zero. If you cross out the zero, you get the second number. Find these numbers if their sum is 363.

Answers

Answer:

330 + 33 = 363

Step-by-step explanation:

The answers you are looking are 330 and 33.

If you were to take 330 and 33 and add them together, it would equal 363. The question also states if you were to take the 0 off of the first number (330), youd get your second number (33) to equal the sum given.

I hope this helps!

A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.


Outcome Frequency
Heart 6
Spade 4
Club 7
Diamond 3


Determine the experimental probability of drawing a diamond.

Answers

The experimental probability of drawing a diamond is calculated by dividing the frequency of drawing a diamond by the total number of trials:

Experimental probability of drawing a diamond = Frequency of drawing a diamond / Total number of trials
Experimental probability of drawing a diamond = 3 / 20
Experimental probability of drawing a diamond = 0.15 or 15%

Therefore, the experimental probability of drawing a diamond is 15%.

Determine whether the graph represents a function. *

Determine whether the graph represents a function. *

Answers

Answer:

Not a function

Step-by-step explanation:

There are two points that correspond to the same variable

Hope this helps

Answer:

not a function

Step-by-step explanation:

There are two points that have the same x and  different y values

This would fail the vertical line test.

The following graph shows the tons of sugar Bel sugar mill fabricated from its opening day in 2008 to 2013

Answers

A journalist's statement about this piece of information after analyzing the data could be (a) the owner made a mistake because the rate is constant

How to determine the Journalist statement about this piece of information after analyzing the data?

From the question, we have the following highlights:

Year = 2008 to 2013 (this represents the domain)Owner's claim: Production increased at an exponential rate

From the graph attached to the question, we can see that the graph that shows the tons of sugar Bel sugar mill fabricated from its opening day in 2008 to 2013 is a linear graph

This is so because the points on the graph are connected by a straight line.

Linear graphs have constant rate

Hence, a journalist's statement about this piece of information after analyzing the data could be (a) the owner made a mistake because the rate is constant

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Complete question

The following graph shows the tons of sugar Bel sugar mill fabricated from its opening day in 2008 to 2013. The owner of the sugar mill said in an interview that the production increased at an exponential rate since the inauguration. What would a journalist say about this piece of information after analyzing the data?

The following graph shows the tons of sugar Bel sugar mill fabricated from its opening day in 2008 to

When the dollar price of pounds rises, for example, from $1 = 1 pound to $2 = 1 pound, the dollar has ______ relative to the pound.

Answers

The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

What is Depreciated relative?

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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Which equation represents “the product of a number and 24 is 72”? 24 p = 72 24 = 72 p (24) (72) = p StartFraction p Over 24 EndFraction = 72

Answers

Answer:

24p = 72

Step-by-step explanation:

Let the number be p.

The product of p and 24 equals to 72.

p × 24 = 72

24p = 72

Answer:

24p = 72

Step-by-step explanation:

A

To solve -3 = -19 + d/5, what steps would you use?

Answers

The value of d is 4 by law of exponents.

What are exponents?

The mathematical procedure known as exponentiation uses the base b and the exponent, or power, n. Its translation is "b to the n" and its symbol is Bn. The how many times a number has been amplified by itself is known as an exponent. When written as 23, the phrase "2 to the third" actually means "2 x 2 x 2 = 8," not 23, and "2 x 3 = 6," respectively.

Keep in mind that a number multiplied by one equals the original number.

Exponents are a way to express very big numbers as powers of smaller numbers. The exponent, so to speak, is the amount of times an integer has been multiplied by itself.

Applying the laws of exponents,

Given that, -3 = -19 +d/5

-3 = -19 +d5

-3 + 19=d5

d = 4

The value of d is 4 by law of exponents.

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I need help with this answer I will also mark brainlyist

I need help with this answer I will also mark brainlyist

Answers

Answer:

first blank is x, and the second blank is -4x

and the equation is \(x^{2} =-4x\)

Step-by-step explanation:

If you simplify \(x^{2}-6=-4x-6\)

you would get \(x^{2} =-4x\) because you can bring the negative six onto the other side and it cancels there because it turns to a positive six so you get the equation \(x^{2} =-4x\).

Ruby just started a running plan where she runs 7 miles the first week and then increases the number of miles she runs by 10% each week. If she keeps up this plan for 26 weeks, how many total miles would ruby have run, to the nearest whole number?

Answers

764 total miles would ruby have run. This can be solved by the concept of geometric sequence.

What is geometric sequence?

When two subsequent terms in a numerical series have a constant ratio, the sequence is said to be geometric. The geometric sequence's common ratio is the name of this constant.

Similar to an arithmetic sequence, the initial term a, and the common ratio r determine the entirety of a geometric series. Therefore, we may get the equation for the nth term of a geometric series if we know the first two terms.

Given that,

she runs 7 miles the first week (a₁)

increases the number of miles she runs by 10% each week

she keeps up this plan for 26 weeks.

Let us, assume,

a(n) represents no. of miles she runs at nth week.

a(n) is in geometric sequence.

now, a(n) / a(n-1) = 1 + 10% = 1.1     (increased by 10%)

So, the sum of first nth terms:

S(n) = a(1)[ 1 - rⁿ] / (1 - r)

S(n) = 7 [ 1 - (1.1)ⁿ] / (1 - 1.1)

S(n) = 70 [ (1.1)ⁿ - 1]

Now, n = 26

So, S(26) = 70 [ (1.1)²⁶ - 1]

S(26) = 764 miles.

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Jeremy made nine out of twelve basketball shots in P.E. class. What decimal and percent represents the number of shots he made?​

Answers

3/4 shots were made so 75% or .75 of his total shots were made.

Line L is tangent to the graph of y = ex at the point (k, ek y-intercept of L is 1/2 (A) 0.405 (B) 0.768 (C) 1.500 (D) 1.560 (E) There is no such value of k

Answers

Since x > 0, the tangent of f'(x) is always positive, and the denominator is always positive. Therefore, f'(x) is always positive, which means that f(x) is always increasing and can only cross the x-axis once. Hence, f(x) has only one root on its entire domain.

To find the y-intercept of line L, we need to determine the equation of line L.

Since line L is tangent to the graph of y = ex at the point (k, ek), the slope of line L must be equal to the slope of the tangent line to y = ex at (k, ek), which is simply ek.

Therefore, the equation of line L is:

y - ek = ek(x - k)

Simplifying, we get:

y = ekx - ek2

To find the y-intercept, we set x = 0 and solve for y:

y = ek(0) - ek2 = -ek2

Therefore, the y-intercept of line L is -ek2.

We need to find the value of k such that the y-intercept of line L is 1/2.

-ek2 = 1/2

Solving for k, we get:

k = ln(sqrt(2))

So the answer is (A) 0.405.

To prove that the function has only one root on its entire domain, we take the derivative of f(x) and show that it is always positive.

f(x) = ln(x) - 1/x

f'(x) = 1/x + 1/x^2 = (x+1)/x^2

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Help please i need help

Help please i need help

Answers

Answer:

The answer is c=8

3/6=4c

3(c)=4(6)

3c=24

To find the c divide 3 both side

3c÷3=24÷3

c=8

hope that helps you

Which one of these shapes is not like the others?

Shape A
Shape B
Shape C

Which one of these shapes is not like the others?Shape AShape BShape C

Answers

It is c because b is an enlarged version of a

Answer: C is more oval like than the others

Step-by-step explanation:

Why Eulerian path can be implemented in linear time, but not Hamiltonian path?

Answers

Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.

This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.

On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.

This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.

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Evaluate the expression below when x = -2. x^2 − 8 / x + 6

Answers

Answer:

14

Step-by-step explanation:

Substitute -2 for x in the two places where x occurs:

              8

(-2)^2 - ------- + 6    =    4 + 4 + 6  =  14

              -2

Which of the following can be divided by 3, with no remainder?
A)555
B)2018
C)46
D)739
E)8912​

Answers

Answer:

A) 555

Step-by-step explanation:

555/3 = 185

Check and make sure; 185 x 3 = 555

Hope this helps!

-Jerc

Answer:

A)555 becuse 555/3=185

Assume we have a machine that uses 1 byte for a short int and 2 bytes for an int. What's the decimal value of z after running the following code. short int x = -36; // binary sequence is 11011100 int y = x; unsigned int z = y;

Answers

The decimal value of 'z' after running the given code is 220.

The code initializes a short integer 'x' with the value -36, which is represented in binary as 11011100. Since the machine uses 1 byte for a short integer, 'x' is stored using 1 byte.

Then, 'x' is assigned to an integer 'y'. Since 'y' is an int, it uses 2 bytes to store the value. However, the binary representation of -36 (11011100) can be accommodated within the 2 bytes.

Finally, 'y' is cast to an unsigned int 'z'. The cast discards the sign bit, converting the value to its unsigned representation. Since 'z' is unsigned, it also uses 2 bytes to store the value. Therefore, the binary representation of -36 (11011100) is interpreted as a positive value, resulting in the decimal value 220.

In summary, the decimal value of 'z' is 220 because the negative value -36 is represented in binary as 11011100, which is interpreted as a positive value when cast to an unsigned int.

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Question 3(Multiple Choice Worth 2 points)
(Comparing Data MC)

The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.

Which drive-thru is able to estimate their wait time more consistently and why?

Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range

Answers

Burger Quick's box plot has a larger IQR than Super Fast Food's, hence Super Fast Food is better able to predict their wait time

Define IQR?

A measurement of statistical dispersion, or the spread of the data, is the interquartile range (IQR). It is described as the variation between the data's 75th and 25th percentiles. The fourth spread, middle 50%, midspread, or H-spread1 are further names for the IQR.

The dataset is displayed using a box plot, which is a standardized method based on the five-number summary of the minimum, maximum, sample median, and first and third quartiles

The box plot displays measurements made from data acquired from interviews with 20 people on how long they waited at a drive-through restaurant window.

Burger Quick's box plot has a larger IQR than Super Fast Food's, hence Super Fast Food is better able to predict their wait time.

A data set is divided into quartiles to calculate the IQR (Interquartile Range), which is a measure of variability. The first quartile (Q1) is subtracted from the third quartile (Q3) to determine it.

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SORRY TO BOTHER BUT I NEED HELP I DID IT AND I GOT IT RIGHT BUT I GOT 2 wrong and I had a 2 chance and I had to do them all over again Pls help

SORRY TO BOTHER BUT I NEED HELP I DID IT AND I GOT IT RIGHT BUT I GOT 2 wrong and I had a 2 chance and

Answers

Answer:

C

Step-by-step explanation:

Find the difference.
(13x + 4) - (8x + 2)​

Answers

Answer:

5x+2

Step-by-step explanation:

Answer:

5x + 6

Step-by-step explanation:

Find the difference.(13x + 4) - (8x + 2)

When conducting a scientific investigation, how many variables should be tested?.

Answers

An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

The variable you alter, regulate, or change in an experimental study to examine its effects is known as an independent variable. It is named "independent" because it is unaffected by any other study variables.

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A 48 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 3 times as long as the first piece

Answers

Complete question :

A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three

Answer:

Length of first piece = x = 8

Length of second = 2x = 8*2 = 16

Length of third = 3x = 8 * 3 = 24

Step-by-step explanation:

Let :

Length of first piece = x

Length of second = 2x

Length of third = 3x

The total lengtb of board = 48 inches

Hence,

First + second + third = 48

x + 2x + 3x = 48

6x = 48

x = 48 / 6

x = 8

Length of first piece = x = 8

Length of second = 2x = 8*2 = 16

Length of third = 3x = 8 * 3 = 24

what is the standard deduction for 2016 for over 65

Answers

Answer:

just an explanation so all in steps

Step-by-step explanation:

The standard deduction amount for taxpayers over 65 years old in 2016 varied depending on their filing status. Here are the standard deduction amounts for 2016:

For Single filers (and Married Filing Separately):

Under 65 years old: $6,300

Over 65 years old: $7,850

For Married Filing Jointly:

Both spouses under 65 years old: $12,600

One spouse over 65 years old: $13,850

Both spouses over 65 years old: $15,100

For Head of Household:

Under 65 years old: $9,300

Over 65 years old: $10,850

These figures are for the standard deduction only and do not include any additional deductions or credits that may apply. It's important to note that tax laws may change, so it's always recommended to consult the official IRS resources or a tax professional for the most up-to-date and accurate information.

Which function represents exponential decay?

f(x) = One-half(2)x
f(x) = Three-fourths(Negative one-fifth)x
f(x) = 3(Seven-halves)x
f(x) = 2(Two-thirds)x

Answers

f(x) = 2(Two-thirds)x


Explanation:
Exponential functions are in the form
y= ab^x If a is positive and b is greater than 1, then it is exponential growth. If a is positive and b is less than 1 but greater than 0, then it is exponential decay.

Answer:

D

Step-by-step explanation:

EDGE2020

You measure the length of the same side of a block five times and each measurement has an uncertainty of Δ
b = 0.1 mm. What is the uncertainty in the best estimate for b?

Answers

The uncertainty in the best estimate for the length of the side of the block is approximately 0.0447 mm.

To determine the uncertainty in the best estimate for the length of the block side, we can consider the range of values obtained from the measurements. Since the uncertainty represents the possible deviation from the true value, the range of measurements can be used to estimate the uncertainty in the best estimate

To find the standard deviation represents the average amount of variation or spread among the measurements , we use the formula σ = Δb / √n, where σ is the standard deviation, Δb is the uncertainty in each measurement, and n is the number of measurements.

In this case, Δb = 0.1 mm and n = 5. Plugging these values into the formula, we get σ = 0.1 / √5 ≈ 0.0447 mm.

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Solve the system of linear equations by substitution. 4x−2y=14 y=1/2x−1

Answers

4x−2y=14

Step-by-step explanation:

Answer:

The solution to the system of linear equations is x = 4, y = 1.

Step-by-step explanation:

Given system of linear equations:

\(\begin{cases}4x-2y=14\\y=\dfrac{1}{2}x-1\end{cases}\)

To solve the system of linear equations by the method of substitution, substitute the second equation into the first equation:

\(\implies 4x-2\left(\dfrac{1}{2}x-1\right)=14\)

Solve the equation for x:

\(\implies 4x-x+2=14\)

\(\implies 3x+2=14\)

\(\implies 3x=12\)

\(\implies x=4\)

Substitute the found value of x into the second equation and solve for y:

\(\implies y=\dfrac{1}{2}(4)-1\)

\(\implies y=2-1\)

\(\implies y=1\)

Therefore, the solution to the system of linear equations is:

x = 4, y = 1

Determine whether the relation {(9, 3), (6,2), (3, 2), (3, 1), (6,-2)} is a function. Explain why/Why
not.

Answers

Answer:

Since x=3 produces y=2 and y=1, the relation (9,3),(6,2),(3,2),(3,1),(6,-2) is not a function

Step-by-step explanation:

Its right.

Use operation to 56 48 32 to get GCF and explain ​

Answers

Answer:

8

Step-by-step explanation:

56 = 1, 56; 2, 28; 4, 14; 7, 8

48 = 1, 48; 2, 24; 3, 16; 4, 12; 6, 8

32 = 1, 32; 2, 16; 4, 8

Convert 25cm to inches. Round to the hundredths place.
1 inch =2.54cm

Answers

Answer:

Step-by-step explanation: By multiplying 25 cm by the 2.5 cm per inch conversion factor, we can convert 25 cm to inches.

25 cm/2.5 cm per inch = 10 inches

Rounding to hundredths place, we get: 10 inches = 10.00 inches

   

simplify. 3+9⋅7−8÷2
A= 29
B= 38
C= 62
D= 80

Answers

Steps to solve:

3 + 9 * 7 - 8 / 2

~Multiply

3 + 63 - 8 / 2

~Divide

3 + 63 - 4

~Add

66 - 4

~Subtract

62

Best of Luck!

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