What is the angle of elevation of the sun when a 50-ft mast casts a 10 ft shadow? (please give answer along with step by step explanation please or show me the formula on how to solve it)

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:

32

Step-by-step explanation:

Mags is 34. If Vector's age+2 is equal to Mags' age, and she is 34, just subtract 2 from 34, which equals 32.

According to Chebyshev's theorem, the range in which at least 75% of the data will lie within the interval 390 to 322.

If a random variable X is integrable and has mean(or say expectation) \(\mu\)

(finite) and standard deviation \(\sigma\), then for any real number k >0, we have

\(P(|X - \mu} | \geq k\sigma) = \dfrac{1}{k^2}\\\\or\\\\P(|X - \mu| \leq k\sigma) = 1 - \dfrac{1}{k^2}\)

(take notice of the inequality sign)

WE have been Given that a data set with a mean of 310 and a standard Deviation of 44 calories, 75% of the data represent 3/4 of the data,

Then according to Chebychev's theorem, at least 3/4 of the data lie within two standard deviations of the mean;

310 ± 2(44)

310 ± (88)

310 + (88), 310 - (88) = (390, 322)

Therefore, 75% of the data will fall within the interval 390 to 322.

the range in which at least 75% of the data will lie within the interval 390 to 322.

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By using trigonometry, the missing sides are

Example 1: x = 16.7

Example 2: x = 3.2

Example 3: x = 23.5

Example 4: x = 9.3

From the question we are to determine the value of the missing sides in the given triangles

We can determine the value of the missing sides by using SOH CAH TOA

Example 1

Angle = 42°

Opposite side = x

Hypotenuse = 25

Thus,

sin (42°) = x / 25

x = 25 × sin (42°)

x = 16.7

Example 2

Angle = 75°

Opposite side = 12

Adjacent side = x

Thus,

tan (75°) = 12 / x

x = 12 / tan (75°)

x = 3.2

Example 3

Angle = 36°

Hypotenuse side = x

Adjacent side = 19

Thus,

cos (36°) = 19 / x

x = 19 / cos (36°)

x = 23.5

Example 4

Angle = 53°

Opposite side = x

Adjacent side = 7

Thus,

tan (53°) = x / 7

x = 7 × tan (53°)

x = 9.3

Hence,

The missing sides are 16.7, 3.2, 23.5 and 9.3

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Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer:

Step-by-step explanation:

we can't see the picture of the "paperboard" but I'm going to guess it looks like my drawing that i've attached.

the 3 side of the rectangle are pretty straight forward,  I'm sure you've got that part figured out right?

so then we need the circle part,  we can find the distance all the way around the circle ,  and then divide that by two to find our cut out perimeter.

circumference = 2\(\pi\)r  =  2*\(\pi\)*12 = 75.39822369

but recall, that's all the way around the circle to divide by 2 to get one half of the circle

75.39822369 / 2 =37.69911184

add the 3 sides,  and our 37.69911184,  then round to the nearest 100th.  

37.70  is the nearest 100th if you were not sure.  Now just add the other 3 straight sides ,  and you got it  :)

Answer:

F

Step-by-step explanation:

Answer:

I believe the answer is f.

Answer:

progress monitoring is used to access students academic and social emotional behaviour as EB progress examine rate of improvement and evaluate effectiveness of introduction are invention it is typical use with both individual students and small groups

Answer:

9x ≥ 81

Step-by-step explanation:

Given

Total = $81 (atleast)

Required

Represent as an inequality

Let the number of weeks he x

If he saves $9 in a week, then he will save $9x in weeks

From the question we understand that he needs at least $81

At least, in inequality means ≥

So, the inequality is:.

9x ≥ 81

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Point located at each location: 1) A  2) I 3) W 4) H 5) X 6) G 7) J 8) N 9) U 10) M 11). Ordered pairs are:  B(2,8) 12) E(0,0) 13) T(3,3) 14) Q(8,7)  15) Y(7,6) 16) R( 9,8) 17)  F(9,0) 18) S(3,6) 19) C(6,7)

Describe Ordered pair?

An ordered pair is a pair of mathematical object elements, such as numbers or other mathematical elements, where the order in which the object elements are listed is important. The ordered pair is usually written in the form (a, b), where 'a' represents the first element or coordinate, and 'b' represents the second element or coordinate.

In the context of the Cartesian coordinate system, an ordered pair represents a point in two-dimensional space, where the first element or coordinate represents the horizontal position on the x-axis and the second element or coordinate represents the vertical position on the y-axis. The order of the elements in an ordered pair is crucial because (a, b) is different from (b, a) and represents a different point in two-dimensional space.

Point located at each location is:

1) A

2) I

3) W

4) H

5) X

6) G

7) J

8) N

9) U

10) M

The ordered pair for given points is:

11) B(2,8)

12) E(0,0)

13) T(3,3)

14) Q(8,7)

15) Y(7,6)

16) R( 9,8)

17)  F(9,0)

18) S(3,6)

19) C(6,7)

The graph for remaining is questions is attached below.

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Answer:

It takes 135 of the 1/3 unit cubes to fill the prism.

Step-by-Step Explanation:

The volume of the prism is 5 cubic units. This means the prism can be filled with five 1×1×1 unit cubes

How many cubes with 1/3 unit side lengths can fit in a cube with 1-unit side lengths?

There are 27 cubes with 1/3 unit side lengths in 1 cubic unit.

Since the rectangular prism is made up of 5 cubic units, we would have 5×27 total cubes with 1/3 unit side lengths.

It takes 135 of the 1/3 unit cubes to fill the prism.

Answer:

Westbound = x;

Eastbourne = x-20;

So they will have the common rate: 360/2 = 180;

x+x-20 = 180

2x = 200;

x = 100;

So Eastbourne will be 100-20 = 80 miles per an hour;

Answer:

c 57

Step-by-step explanation:

Answer:

−t+24

Step-by-step explanation:

The point also belongs on this graph will be (36, 72)

Answer:

\(80\)

Step-by-step explanation:

\(g(x)=11x+3\)

\(g(7)=11(7)+3\)

\(g(7)=77+3\)

\(g(7)=80\)

Answer:

2

Step-by-step explanation:

5x + 4y = 8

5*0 + 4y = 8

y = 8/4

y=2

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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Answer:

\(A=745.06\)

\(C=96.76\)

The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

Answer:

3

Step-by-step explanation:

24 + 12 = ___(8+4)

36 = ___(12)

36/12 = 3

Answer:

Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

5x = 20

Divide each side by 5

5x/5 = 20/5

x = 4

To obtain (B) from (A) "Multiply/divide both sides by the same non-zero constant"

Given the equations :

To obtain the value ; x = 4 from A

Here, the constant value which can be used is 5 in other to isolate 'x'

5x/5 = 20/5

x = 4

Therefore, to obtain (B) from (A) "Multiply/divide both sides by the same non-zero constant"

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9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

Answer:

0.0017784 m2

Step-by-step explanation:

Answer:

17,784 cm²

Step-by-step explanation:

\(3.42 \times 5.2 = \frac{342}{100} \times \frac{52}{10} = \frac{17784}{1000} = 17.784\)

Answer:

The lines intersect at (-2,2).

Step-by-step explanation:

The line has an y intercept of 1 and a slope of -1/2 so after graphing the both of them thats where they intersect.  

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.