You are 5 feet 4 inches tall and cast a shadow 3 feet long. At the same time, a nearby water tower casts a shadow 74 feet 3 inches long.

a. Find the height of the water tower.

Answer:

[tex]\frac{1}{x^{\frac{5}{3}}}[/tex]

Step-by-step explanation:

[tex]\frac{-5}{3}=-\frac{5}{3}\\x^{-\frac{5}{3}}\\x^{-\frac{5}{3}}=\frac{1}{x^{\frac{5}{3}}}\\\frac{1}{x^{\frac{5}{3}}}[/tex]

➲ Hope this helps.

Answer:

2.4×10−6

Step-by-step explanation:

Answer: 63,960

Step-by-step explanation:

Answer:

$63960

Step-by-step explanation:

tbh if i made that salary tho

The volume of a rectangular prism if the length is 10ft is 250ft2.

A transparent optical prism is a device intended to refract light and has flat, polished surfaces. Prisms do not have two parallel surfaces; at least one of their surfaces must be slanted. Since a triangular prism with a triangular base and rectangular sides is the traditional geometrical shape of an optical prism, this type is typically meant when the word "prism" is used in everyday speech. Certain optical prism varieties don't actually have geometric prism shapes. Any material that transmits the wavelengths for which it is intended can be used to create prisms. Glass, acrylic, and fluorite are common building blocks.

From description, l = 2h = 2w

Since it has a square base,w=h

V = lwh = 2w•w•w = 2w3

Surface area, A = 2(wl+hl+hw) = 2(2w2+2w2+w2) = 250

5w2=250/2 = 125

w2= 25

V= 2(5)3 = 2(125)= 250 ft2

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Answer:

23.3cm

Step by step:

Tri;APQ~Tri;ABC(A.A.A)

AP/AB=AQ/AC=PQ/BC

AP/AP+BP=AQ/AQ+QC

3/3+AQ=AQ/AQ+49/3

3AQ+49=3AQ+AQ^2

AQ^2=49

AQ=7

#AC=AQ+QC

=7+(49/3)

=23.333

(Thu Zar You should give me brainlist)

According to the given statement One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.

Subtract the final temperature from the starting temperature to get the temperature change (T). Multiply the temperature change by the sample's mass. Share the product's energy and heat output.

The equation is C = Q / (T m).

Consider the function t as defined below. t(h)=9.5h – 15.52 +17.4h-10.12

Here,

h is the number of hours after storm began.

The function t represents the rate of change of temperature in °F per hour during the hour and a half after the storm began.

During the storm, the temperatures lowers and then rises.

One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.

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Answer: 15,552 inches cubed

Hope this helps!

There are no real solutions for the equation x² + 20 = 4.

Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.

Consider the equation,

x² + 20 = 4

Subtracting 20 from each side of the equation.

x² + 20 - 20 = 4 - 20

x² = - 16

√x² = √ - 16

x = ± √-16

x = ± 4√(-1)

x = ± 4i

Since i is the complex number that is equal to √-1. Therefore, there are no real solutions to the equation.

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Answer:no real number solutions

By using properties of right triangles, we will see that the value of x is 7.72

In the image we have a set of right triangles, and we want to find the value of x.

Let's look at the large triangle in the left, we know that the hypotenuse measures 18 units and one angle measures 64°, with that information we can get the adjacent side (the dashed line, let's call it A) to that angle:

Cos(64°) = A/18

18*cos(64°) = A = 7.05

Now we know one of the cathetus of the smaller right triangle (the one we can see in the right side). Here we know one angle that measures 20° and the opposite to that angle measures 7.05

Then the value of x is given by the equation:

x = 7.05/sin(20°) = 7.72

We conclude that the value of x is 7.72

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Answer:  A vertical stretch of f(x)f(x) is of the form g(x)=kf(x)g(x)=kf(x) where k>1k>1. A vertical stretch of 5 then means that g(x)=5f(x)=5(x+2)=5x+10g(x)=5f(x)=5(x+2)=5x+10.

Step-by-step explanation: so i really hope this helps <3 (:

variables having the highest correlation are -

A strong correlation, also known as a high correlation, indicates that two or more variables have a significant link with one another, whereas a weak or low correlation indicates that the variables are rarely associated. The process of examining the strength of such association with the use of available statistical data is known as correlation analysis.

Out of the four measures in the survey, which two variables have the highest correlation?

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The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

[tex]P(A/B)=\frac{P(A)*P(B/A)}{P(B)}[/tex]

let A be the  event that the student knows the answer .

B be  the  event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

[tex]P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}[/tex]

Probability that the answer is correct ,given that he knows the answer is

[tex]P(E/A)=1[/tex]

Probability that the answer is correct ,given that he guesses it is

[tex]P(E/B)=\frac{1}{3}[/tex]   [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability [tex]P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}[/tex]

Substituting the values we get

[tex]P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }[/tex]

[tex]=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}[/tex]

Therefore ,  the chances that the student was merely guessing is 1/3.

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Answer: 1/36 ==> c

Step-by-step explanation:

[tex]6 ^{-2}[/tex]=

[tex]6 ^{-1*2}[/tex]=

[tex](6^{-1}) ^{2}[/tex]=

[tex](\frac{1}{6} ) ^{2}[/tex]=

[tex]\frac{1^{2}}{6^2}[/tex]=1/36 ==> c

Answer:

60°

Step-by-step explanation:

since it is an equilateral triangle all sides are equal. let's make the other 2 angles k.

k+k+k=180°{sum of angles in a triangle}

3k=180°

k=60°(each of them is 60°)

The closure property is defined as the completion of a collection of numbers by using arithmetic operations.

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Answer:

  x = 12

Step-by-step explanation:

Given congruent triangles ABD and CBD, and expressions for corresponding angles ABD and CBD, you want the value of x in the expression for angle CBD.

Corresponding parts of congruent triangles are congruent, so we know ...

  ∠ABD ≅ ∠CBD

  99° = (9x -9)° . . . . use the given expressions

  11 = x -1 . . . . . . . . divide by 9°

  12 = x . . . . . . . . add 1

The value of x is 12.

Step-by-step explanation:

- 1(- 9d + 4.9)

9d -4.9 would be your answer because the negative sign outside the parenthesis equals -1. Hope that helps!!

Answer:

9d - 4.9

Step-by-step explanation:

- ( - 9d + 4.9) ← multiply each term in the parenthesis by - 1

= 9d - 4.9

The volume of the toy box is 24 cubic feet.

Remember that for a rectangular prism of length L, width W, and height H the volume is given by the formula:

V = L*W*H

In this case, we know that:

L = 4ft

W = 3ft

H = 2ft

Replacing that in the volume formula we get.

V = 4ft*3ft*2ft = 24ft^3

The volume of the toy box is 24 cubic feet.

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Answer:

Step-by-step explanation:

A

Answer:

Step-by-step explanation:

The correct answer is option c. $0.79

As per the question:

No. of pea cans in a case = 18 cans

Weight of each can of peas = 12 ounces

Price of a case of peas = $14.22

The information regarding the weight of each can is redundant in this question and therefore, is not used for solving the question

Therefore, the formula to be used for solving:

Price per unit can of peas= (Price of a case of peas/No of pea cans in a case)

Price per unit can of peas= ($14.22/18)

The price per unit can of peas= $0.79

Hence, option c is the correct answer

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Answer: -136 and -134

Step-by-step explanation:

Answer: 11 and 12

Step-by-step explanation:

you have to find the square root of 135. The square root of 135 is 11.6189

so the answer is between 11 and 12

Answer:

Mean = 260.45

Median = 284

Mode = 287, 285  (there are 2 modes)

Since it is a championship sports team , it is likely that this data is representative of all players in that league

Step-by-step explanation:

Mean = Sum of the weights/11 = 2865/11 = 260.45

Median is the middle of the data set when the data values are arranged in ascending order

In ascending order: 206, 216, 217, 235, 273, 284, 285, 285, 287, 287, 290

Mode is the value that occurs the maximum number of times in a data set

Here there are 2 modes 285 and 287 both of which occur twice

Answer:

2

Step-by-step explanation:

18x -12 = 18x -12 +2

18x -12 = 18x -10

18x cancel each other out

-12 = -10

-12 + 12 = -10 + 12

add 12 to each side

= 2

Considering the absolute value function, the correct statement is given by:

|-53| = |53|.

The absolute function is defined by:

It measures the distance of a point x to the origin. For this problem, we have that:

Thus, the correct statement is given by:

|-53| = |53|.

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Answer:

The first one I think xx

The gram and kilogram are two units used to measure mass in the metric system .

We need to find the metric unit to find mass of a book.

The resistance that a body of matter offers to a change in its speed or position upon the application of a force.

1 kilogram of a substance is equal to 1000 grams and 1 gram is equal to 0.001kg. Therefore, to convert the mass of a book weighing 12,321g into kg, we will multiply it by 0.001kg. The book's mass in kg is 12.321 kg.

Therefore mass is measured by kilogram or grams.

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Step-by-step explanation:

Because in this situation you have 2 ways to solve it

But in this case you can't so we have another solution

Subtract angel from 360 it will give you result with negative or different results

If you have angel 100

The sin maybe equal sin100 or sin 360-100

The first term, the common difference, and the sum of the first thirty-three terms of the arithmetic sequence is 2, 1.5 and 68.5 respectively.

a + 4d = 8

a + 9d = 15.5

9d - 4d = 15.5 - 8

5d = 7.5

d = 7.5/5

d = 1.5

substitute into

a + 4d = 8

a + 4(1.5) = 8

a + 6 = 8

a = 8 - 6

a = 2

S33 = n/2 + {2a (n - 1)d}

= 33/2 + {2×2 + (33 - 1)1.5}

= 16.5 + {4 + (32)1.5}

= 16.5 + (4 + 48)

= 16.5 + 52

= 68.5

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Answer:

-729

Step-by-step explanation:

-9 × (-9) × (-9) =

= 81 × (-9)

= -729