A 350 m cable is attached to the top of the tower. The angle of elevation to the top of the tower is 60. How high is the tower in meters

Tasha has the highest batting average because 0.9(27/30) is greater than 0.8( 24/30 ) ( optionD)

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

The batting average for Jana is 12/15 = 0.8

The battling average for Tasha is 9/10 = 0.9

The battling average of Tasha is higher than that of Jana

0.6 can also be in form of 6/10

0.9 can also be in form of 9/10

therefore 8/10 = 24/30 and

9/10 = 27/30

Therefore Tasha has the highest batting average because 27/30 is greater than 24/30

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Answer:

27/30

Step-by-step explanation:

A(n) example is a specific case that is utilized to illustrate a broader concept, and it can take the form of factual occurrences, hypothetical scenarios, or personal experiences.

Examples operate as concrete proof that makes it easier to understand and put into practice abstract ideas. They offer concrete or fictitious examples that exemplify a broad topic, making it more straightforward for others to understand and relate to the underlying notion.

Examples make complex theories or concepts more understandable and relatable, promoting effective communication and improved comprehension across various subjects and disciplines.

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Answer:

$62.40

Step-by-step explanation:

0.04 x 60 = 2.40

60 + 2.40 = $62.40

Hope this helps! Pls give brainliest!

Answer:

$62.40

Step-by-step explanation:

4% of $60 = $2.40

2.40 + 60 = 62.40.

He pays $62.40 in all.

Answer:

whole number, integer and rational

Step-by-step explanation:

squareroot of 25 equals 5, which is a whole number, integer and rational

A Pentagon

A Dodecagon

A Decagon

Sure hope this helps you

Answer:

B

Step-by-step explanation:

Answer:

$34.05

Step-by-step explanation:

The mean and variance of the cumulative intensity of all the earthquakes up to time t are both equal to tλ.

The cumulative intensity of all the earthquakes up to time t is the sum of the intensities of all the earthquakes that have occurred up to time t. The intensity of each earthquake is a random variable with distribution . The mean and variance of the intensity of each earthquake are both equal to λ. The mean of the sum of a set of random variables is equal to the sum of the means of the random variables. The variance of the sum of a set of random variables is equal to the sum of the variances of the random variables plus the sum of the covariances between the random variables. In this case, the sum of the random variables is the cumulative intensity of all the earthquakes up to time t. The mean of each random variable is λ, and the covariance between any two random variables is zero. Therefore, the mean of the cumulative intensity of all the earthquakes up to time t is tλ, and the variance of the cumulative intensity of all the earthquakes up to time t is also tλ.

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Answer:

y = 2(x+3)(x-3)

Step-by-step explanation:

y = a (x-x1) * (x-x2) * (x-x3) * ... (x-xn)

x 1 to n represents the roots

The first six terms of the sequence are 1/2, 1, 3/2, 2, 5/2, and 3.

The given sequence is an= 1/2 n. To find the first six terms, we substitute n with the values 1, 2, 3, 4, 5, and 6 respectively.

The first six terms of the sequence are:

a1 = 1/2 * 1 = 1/2
a2 = 1/2 * 2 = 1
a3 = 1/2 * 3 = 3/2
a4 = 1/2 * 4 = 2
a5 = 1/2 * 5 = 5/2
a6 = 1/2 * 6 = 3

Therefore, the first six terms of the sequence are 1/2, 1, 3/2, 2, 5/2, and 3.

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Answer: Part A: Square Part B: 4.5 Part C: The reason why the shape of the cross-section is because if split a rectangle in half you get two squares.  

Step-by-step explanation:

The area under the curve is \(\frac{6 \sqrt{3}}{5}\).

Consider the following parametric equations:\($$x=t^2-3 t \text { and } y=\sqrt{t} \text { and the } y \text {-axis. }$$\)

The objective is to find area enclosed by the curve using the formula.

The area under the curve is given by parametric equations x=f(t), y=g(t),  and is traversed once as t increases from α to β, then the formula for calculating the area under the curve:

\($$A=\int_\alpha^\beta g(t) f^{\prime}(t) d t$$\)

The curve has intersects with y-axis. so x=0

\($$\begin{aligned}t^2-3 t & =0 \\t(t-3) & =0 \\t & =0 \text { or } t=3\end{aligned}$$\)

Now we have to draw the graph,

Let f(t)=\(t^2-3 t, g(t)=\sqrt{t}$\)

Differentiate the curve f(t) with respect to t.

\(f^{\prime}(t)=2 t-3\)

Now, find the area under the curve use the above formula.

\(\begin{aligned}A & =\int_0^3(\sqrt{t})(2 t-3) d t \\& =\int_0^3(2 t \sqrt{t}-3 \sqrt{t}) d t \\& =\int_0^3\left(2 t^{\frac{3}{2}}-3 t^{\frac{1}{2}}\right) d t \\& =\left[2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}}-3 \frac{t^{\frac{3}{2}}}{\frac{3}{2}}\right]_0^3 \\& \left.\left.=\left[\frac{4 t^{\frac{5}{2}}}{5}-2 t^{\frac{3}{2}}\right]_0^3\right]^{\frac{5}{2}}\right] \\\\\end{aligned}$$\)

\(& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right]\)

\($\begin{aligned}& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right] \\& =\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}-0 \\& =\frac{6 \sqrt{3}}{5}\end{aligned}\)

Therefore,  the area of the curve is \(\frac{6 \sqrt{3}}{5}\).

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The parent function f (x) = x³ is compress by 3 units, down by 1 unit to get f(x) = 3x³ - 1.

What is the meaning of transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given parent function is f(x) = x³ .

The final function is f(x) = 3x³ - 1

If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function.

f (x) + b shifts the function b units upward.

f (x) − b shifts the function b units downward.

Rewrite the function f(x) = 3x³ - 1:

f(x) = (√3x)³ - 1

The value of √3 is greater than 1. Thus the parent function is horizontal compressed by √3 factors and then shifts 1 units downward.

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Answer:

If the average rate of change in the data is negative, based on the variables analyzed;

b. It means that the median age of a man at the time of his first marriage is decreasing

Step-by-step explanation:

The given data is presented as follows;

Year;        \({}\)       1910, 1920, 1930, 1940, 1950, 960, 1970, 1980, 1990, 2000

Median Age; \({}\) 25.1,   24.6, 24.3,  24.3,  22.8, 22.8, 23.2, 24.7, 26.1,   26.8

The date points are plotted on a graph using Microsoft Excel

\(The \ average \ rate \ of \ change = \dfrac{The \ change \ in \ the \ median \ age}{The \ corresponding \ change \ in \ years \ (always \ +ve)}\)The corresponding change in years, Δx, is positive because, we have;

Δx = x₂ - x₁ = Higher year - Previous year

Therefore, for a negative average rate of change, we have;

\(The \ average \ rate \ of \ change = -ve = \dfrac{The \ change \ in \ the \ median \ age}{+ve}\)

∴ The change in the median age, Δy = +ve × (-ve) = -ve (negative)

Δy = -ve

∴ Δy = Median age for higher year - Median age for previous year = -ve

Median age for higher year = -(y) + Median age for previous year

Where 'y' is positive  

∴ Median age for subsequent year < Median age for previous year

Therefore, if the average rate of change is negative, the median age of a man's first marriage is decreasing

Answer:

D

Step-by-step explanation:

took the test

  The parametric equations for the normal line to the surface zy² - 22² at the point P(1, 1, -1) are x = 1 + t, y = 1 + t, and z = -1 - 2t, where t is a parameter.

To find the normal line to the surface at a given point, we need to determine the surface's gradient vector at that point. The gradient vector is perpendicular to the tangent plane of the surface at that point, and therefore it provides the direction for the normal line.
First, let's find the gradient vector of the surface zy² - 22². Taking the partial derivatives with respect to x, y, and z, we get:

∂/∂x (zy² - 22²) = 0
∂/∂y (zy² - 22²) = 2zy
∂/∂z (zy² - 22²) = y²
At point P(1, 1, -1), the values are: ∂/∂x = 0, ∂/∂y = 2, and ∂/∂z = 1. Therefore, the gradient vector at P is <0, 2, 1>.
Using this gradient vector, we can set up the parametric equations for the normal line. Letting t be a parameter, we have:
x = 1 + t
y = 1 + 2t
z = -1 + tt tt

These equations describe a line passing through the point P(1, 1, -1) and having a direction parallel to the gradient vector of the surface.

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Answer: C. 3

Step-by-step explanation:

Using the trapezoid midsegment theorem,

\(\frac{4x+8x+3}{2}=4x+7.5\\\\\frac{12x+3}{2}=4x+7.5\\\\12x+3=8x+15\\\\4x+3=15\\\\4x=12\\\\x=3\)

Answer:

8 km

Step-by-step explanation:

To find the side square the hypotenuse and subtract it with the square of leg b.

289-225=64

square root of 64 is 8. Side a is 8

Answer:

60,000

Step-by-step explanation:

Let us represent:

Costs price = x

Selling price = x - 25%x

x - 0.25x

= 0.75x

If it been sold for Rs 21,000 more then the profit would have been

10%. = x + 10% = 1.1x

1.1x =0.75x + 21000

Collect like terms

1.1x - 0.75x = 21000

0.35x =21000

x = 21000/ 0.35

x = 60000

The cost price of the item = 60,000

The ray tracing technique can be used to locate the position of the image created by a converging lens. The sign convention for lenses can be used to discern whether the image is upright or upside-down.

(a) Using the ray tracing rules below, we can pinpoint the position of the image created by a converging lens.

After passing through the lens and refracting, a light beam parallel to the main axis will eventually pass through the focal point.

A light beam that has passed through the focus point will exit the lens parallel to the main axis.

A beam of light that enters the lens's centre will travel straight through.

These guidelines enable us to create a ray map for the scenario at hand:

The main axis of the lens should first be drawn as a horizontal line. Next, sketch the converging lens as a vertical line with the focal point indicated above the lens (because it is a converging lens, the focal point should be above the lens).

(b) The angle in which the refracted rays intersect the principal axis will help us determine whether the image is upright or inverted. The image is inverted in this instance because we can see that the refracted rays intersect the principal line below it.

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The volume of the ice cream cone is approximately 25.12 cubic inches, when we use 3.14 for pi and round our answer to two decimal places.

A cone is a three-dimensional geometric shape that has a circular base and a pointed apex. It is similar to a pyramid, except that a cone has a circular base instead of a polygonal base.

The following formula determines a cone's volume:

V = (1/3) * π * r² * h

where V is the volume of the cone, r is the radius of the circular base of the cone, h is the height of the cone, and π is a mathematical constant approximately equal to 3.14.

In this problem, we are given that the ice cream cone has a radius of 2 inches and a height of 6 inches.

V = (1/3) * 3.14 * 2² * 6

Simplifying the expression inside the parentheses:

V = (1/3) * 3.14 * 4 * 6

V = (1/3) * 3.14 * 24

V = 25.12 cubic inches

Therefore, the volume of the ice cream cone is approximately 25.12 cubic inches, when we use 3.14 for pi and round our answer to two decimal places.

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ANSWER

5/10 and 4/10

EXPLANATION

We want to enter fractions given as a pair of fractions that have the same denominator.

The fractions given are:

1/2 and 2/5

To do that, we have to first find the lowest common multiple of the two denominators.

The denominators are:

2 and 5

Their lowest common denominator is 10, since it is the smallest number which is divisible by both numbers.

To put the first fraction in terms of a denominator of 10, we have to multiply the numerator and denominator by 5.

That is:

To put the second fraction in terms of a denominator of 10, we multiply the numberator and denominator by 2.

That is:

Therefore, the two fractions in terms of a common denominator are 5/10 and 4/10.

Inscribed circle of a triangle is the largest circle, contained in the triangle.

To construct the inscribed circle of a triangle the in-center is required. the option 3 is the correct option.

Inscribed circle of a triangle is the largest circle, contained in the triangle.

Steps to construct the inscribed circle of a triangle-

Thus to construct the inscribed circle of a triangle the in-center is required. the option 3 is the correct option.

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Answer:

cool bro tbh

Step-by-step explanation:

Answer:

i think answer c

Step-by-step explanation:

In Chapter 3 of "The Strange Case of Dr. Jekyll and Mr. Hyde," we see how Utterson's investigation and how Jekyll's addiction to his dark side starts to unravel.

In this chapter, Dr. Jekyll's friend and lawyer, Mr. Utterson, becomes increasingly concerned about the strange goings-on surrounding his friend and his association with the mysterious Mr. Hyde. Utterson begins to investigate the relationship between the two men, and discovers that Jekyll has made a will leaving all of his property to Mr. Hyde. Utterson also discovers that Jekyll and Hyde have the same handwriting, and becomes convinced that Jekyll is hiding something.

As Utterson continues to dig, he is eventually able to piece together the truth of the situation: Jekyll has been using a potion to transform himself into the violent and evil Mr. Hyde. Jekyll reveals to Utterson that he has been struggling for a long time with his dual nature and that the potion allows him to temporarily indulge his darker impulses without fear of discovery. Utterson urges Jekyll to give up the potion, but Jekyll refuses, saying that he is powerless to stop using it.

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Answer:

20 % decay

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

1-.8 = .2

Change to decimal form

20 % decay

Therefοre, The similarity statement is ΔBAT ~ ΔDER, and the reasοn fοr the similarity is by SSS similarity since the cοrrespοnding sides are in prοpοrtiοn.

Twο triangles are similar if their cοrrespοnding angles are cοngruent and their cοrrespοnding sides are prοpοrtiοnal. Sο yοu can find the dimensiοns οf a triangle using anοther triangle. If ABC and XYZ are twο similar triangles, yοu can find the assοciated angles and side lengths using the fοrmulas belοw.

Tο determine whether the twο triangles BAT and DER are similar, we can use the similarity criteria. Twο triangles are similar if their cοrrespοnding angles are cοngruent and their cοrrespοnding sides are in prοpοrtiοn.

Let's check if the triangles satisfy the similarity criteria:

Angle BAT is cοngruent tο angle DRE, bοth being right angles.

Angle BTA is cοngruent tο angle EDR, bοth being acute angles.

Angle A is cοngruent tο angle E, bοth being acute angles.

Therefοre, the twο triangles have cοrrespοnding angles that are cοngruent.

Next, we can check if their cοrrespοnding sides are in prοpοrtiοn:

BA/BT = 48/84 = 4/7

ED/DR = 8/14 = 4/7

AT/ER = 72/12 = 6/1

We can see that the ratiοs οf the cοrrespοnding sides are equal, which means that the twο triangles are similar.

Therefοre, The similarity statement is ΔBAT ~ ΔDER, and the reasοn fοr the similarity is by SSS similarity since the cοrrespοnding sides are in prοpοrtiοn.

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Answer:

Step-by-step explanation:

The function is g(t) = -16t² + vt + h

At h = 0 and v = 80 we get the function:

We know g(t) can't be negative, then:

Correct option is B

The ones digit number is 6 of the number 22006.

Now, According to the question:

In a two-digit number, the value of the digit depends on its position in that number. At one's place, the digit which is at the extreme right is known to be like one's, whereas the digit placed at the leftmost is known to be at ten's.

We have to find the ones digit in the number 22006

Now, Considering the number is 22006

So, the ones digit number is 6

It means the last digit is the ones digit number.

In the Indian numeral system, the place values of digits go in the sequence of Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores and so on.

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Step-by-step explanation:

the graph of a polynomial function will touch the x-axis at zeros with even multiplicities.The graph will cross the x-axis at zeros with odd multiplicities.THE HIGHER THE multiplicities,THE FLATTER THE CURVE IS AT ZERO.