A cell phone towerbcast a shadow that is 40 feet long . An 10- foot- tall stop sign located near the tower casts a shadow that is 8 feet long. How tall is the cell phone tower?

Answers

Answer 1

Using proportions, considering the relation between the height and the shadow, it is found that the cell phone tower is 50 feet.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

When the shadow is of 8 feet, the height is of 10 feet. What is the height when the shadow is of 40 feet? The rule of three is:

8 feet - 10 feet

40 feet - h feet

Applying cross multiplication:

8h = 10 x 40

Simplifying by 8:

h = 10 x 5 = 50 feet.

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Related Questions

please help me :((((((

Answers

Answer:

Answer D

Step-by-step explanation:

It says to divide f(x)/g(x), which is displayed in D and if we find the domain it would be x is not equal to -1/4

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula
represents the volume of the pyramid?
A. V = 1/12 s ^3
B. V=1/6 s ^3
C. V=1/3s ^3
D. V=3s³
E. V=6s³

Answers

Answer:

The volume of the pyramid with a base area of s² and the heights iss

The formula for calculating the volume of a square based pyramid is expressed as:

Volume = 1/3* Base area* Height

Since it is a square-based pyramid, the base area is calculated as:

Base Area = s ^ 2

If the height of the pyramid is equal to of the length of a side on the base, hence h = s

Substituting the base area and the height into the formula for the volume, this will give;

V = BH / 3

V = (s ^ 2 * s)/3

V = (s ^ 3)/3

V = 1/3 * s ^ 3

Hence the volume of the pyramid with a base area of s ^ 2 and the height s is 1/3 * s ^ 3

4x+7-(x+6)=68
Solve.

Answers

[tex]4x + 7 - (x + 6) = 68 \\ \\ 4x + 7 - x - 6 = 68 \\ \\ 3x + 1 = 68 \\ \\ 3x = 68 - 1 \\ \\ 3x = 67 \\ \\ x = \frac{67}{3} \\ \\ x = 22.3[/tex]

The value of x is 67/3 or 22.3 .

Hi!

__________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]

x=

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

First let's distribute the minus sign.

[tex]\twoheadrightarrow\sf 4x+7-x-6=68[/tex]

[tex]\bullet[/tex] Add 6 to both sides

[tex]\twoheadrightarrow\sf 4x+7-x=74[/tex]

[tex]\bullet[/tex] Subtract the x's

[tex]\twoheadrightarrow\sf 3x+7=74[/tex]

[tex]\bullet[/tex] Subtract 7 from both sides

[tex]\twoheadrightarrow\sf3x=67[/tex]

[tex]\bullet[/tex] Divide both sides by 3

[tex]\twoheadrightarrow\sf x=\cfrac{67}{3}[/tex]

[tex]\bullet[/tex] Great job! We solved for the variable

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

--

Use the In key on your calculator to estimate
the logarithm.
In 49
Round your answer to the nearest thousandth.

Answers

Answer:

3.8918

round the 1 from the 8 to get 2

3.892

Answer
3.892

explanation: round

A circle with center 0 and radius 5 has a central angle X O Y . If m ˆ X Y = 60 ∘ , what is the length of chord X Y ? Round your answer to the nearest whole number.

Answers

Answer: 5

Step-by-step explanation:

As all radii of a circle are congruent, [tex]\overline{OX} \cong \overline{OY}[/tex], it follows that [tex]\angle OXY \cong \angle OYX[/tex].

Because arc XY measures 60 degrees, we also know that [tex]m\angle XOY=60^{\circ}[/tex], and thus triangle OXY is equilateral.

Hence, XY=5 because all sides of an equilateral triangle are congruent.

Write an equation for the transformed logarithm shown below, that passes through (-2,0) and (0,-3)

Answers

Using translation concepts, the equation for the transformed logarithm is given by:

[tex]f(x) = \log{(x + 3)} - 3.48[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The logarithm function is given by:

[tex]f(x) = \log{x}[/tex].

We have that:

It passes through (1,0), and in this problem it passes through (-2,0), that is, it was shifted left 3 units, hence x -> x + 3.

Hence:

[tex]f(x) = \log{x + 3} + b[/tex]

To find the shift up/down, we consider that f(0) = -3, hence:

[tex]-3 = \log{0 + 3} + b[/tex]

[tex]b = -3 - \log{3}[/tex]

b = -3.48.

Hence the function is given by:

[tex]f(x) = \log{x + 3} - 3.48[/tex]

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Q6. This part of the question is for simplifying your work: Make a graph and shadow the interested regions of the inequalities in the given picture.
The following is the actual question: Find the highest and lowest value of the equation in the given picture within the unshadowed region.

Answers

The graph of all the inequalities are given below.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign.

This part of the question is for simplifying your work: Make a graph and shadow the interested regions of the inequalities in the given picture.

y ≥ x, the region is left to the line.

y < -(3/7)x – 7, the region is left to the line.

y ≤ (5/3)x – 8, the region is right to the line.

y ≥ 14 – (11/12)x, the region is right to the line.

y = -(3/2)x + 5, this is the equation of line.

All the graphs are shown below.

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If AABC = ADEF, which congruences are true by CPCTC? Check all that
apply.

Answers

Answer: it's A, B, and D

Step-by-step explanation:

What would the slope of a line be if it were parallel to the line: y = 1 / 3x - 5 ?

Answers

Answer:

Parallel lines have the same slope, so the slope would be 1/3. It would need a different y intercept though or it would be the same line.

Factorize: 1+4a+4a^2​

Answers

Answer: (1+2a)^2 or (1+2a)(1+2a)

Step-by-step explanation:

Answer:

[tex](2a +1)( 2a + 1)[/tex]

Step-by-step explanation:

[tex]1+4a+4a^2[/tex]

[tex]=4a^2 +4a +1[/tex]

[tex]=4a^2 +2a + 2a + 1[/tex]

[tex]=2a(2a +1) +1( 2a + 1)[/tex]

[tex]=(2a +1)( 2a + 1)[/tex]

what is 2/3 x 6/7 answer

Answers

Answer:

4/7

Step-by-step explanation:

2/3 × 6

7

4/7

and bro that's really it

Consider the following hypothesis test: 0 : 12 a : 12 HH  A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. a. Compute the value of the test statistic. b. Use the t distribution table to compute a range for the p-value. c. At a = 0.05, what is your conclusion? d. What is the rejection rule using the critical value? What is your conclusion?

Answers

a) The test statistic is given as t = [tex]\dfrac {14-12}{\dfrac{4.32}{\sqrt25}}}[/tex]= 2.315

b) The pa value will be P = P( t₂₄ > 2.315 ) = 0.015

c) If we compare the p-value and the significance level is given we see that  so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 1% of significance

What is a null hypothesis?

In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

X= represents the sample mean

s = represent the sample standard deviation

n = 25 sample size  

[tex]\mu_o[/tex] = 12 represent the value that we want to test

[tex]\alpha[/tex] = 0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

[tex]p_v[/tex] represent the p-value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 12, the system of hypothesis would be:  

Null hypothesis:  ≤ 12

Alternative hypothesis: > 12

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better to apply a t-test to compare the actual mean to the reference value, and the statistic is given by:  

[tex]t=\dfrac{X-\mu_o}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to a specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

[tex]\dfrac {14-12}{\dfrac{4.32}{\sqrt25}}}[/tex]= 2.315    

P-value:-

The first step is calculate the degrees of freedom, on this case:  

 df = n - 1 =25 - 1 = 2

Since is a one side right tailed test the p value would be:  

[tex]p_v[/tex] =  P( t₂₄ > 2.315 ) = 0.015

Conclusion  

If we compare the p-value and the significance level is given [tex]\alpha[/tex]= 0.05  we see that [tex]p_v < \alpha[/tex]  so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 1% of significance.

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What are the values for y when x is 2, 4, and 6?
y = 20x + 7

Answers

Wait what’s the value of x?
When x is 2 y=40+7 = 47
When x is 4 y= 80+7 =87
When x is 6 y= 120+7 =127

I’m going to need a serious answer through this one or I’m screwed.

Answers

Answer:

A = 60 ft²

Step-by-step explanation:

the area (A) of the shaded sector is calculated as

A = area of circle × fraction of circle

   = 90 × [tex]\frac{240}{360}[/tex]

   = 90 × [tex]\frac{2}{3}[/tex]

    = 30 × 2

    = 60 ft²

Answer:

58.83 ft^2

Step-by-step explanation:

Finding the radius:

A = πr^2

90 = πr^2

90/π = r^2

28.6 = r^2

5.3 = r

Using the area of a sector of a circle formula:

θ/360 x πr^2

240/360 x π(5.3)^2

= 58.83 ft^2

Rick bought some tetra fish and goldfish for his fish tank. He bought twice as many goldfish as he did tetras. Each goldfish costs $1.50, and each tetra fish costs $2.00. He spent $20 on the fish. Which system can be used to represent x, the number of tetra fish, and y, the number of goldfish, he purchased?
x = 2 y. 2 x + 1.5 y = 20
2 x = y. 2 x + 1.5 y = 20
x = y. 2 x + 1.5 y = 20
x + y = 20. 2 x + 1.5 y

Answers

Answer:

  B.  2x = y; 2x +1.5y = 20

Step-by-step explanation:

The two given relations can be written as two equations, one for the numbers of fish, and one for their cost.

__

number of fish

The number of goldfish (y) is twice the number of tetras (x), so one equation can be ...

  2x = y

cost of fish

The tetras (x) are $2 each, and the goldfish (y) are $1.50 each. Their total cost is the sum of products of the number of fish and the cost of each. That total is given as $20, so the other equation could be ...

  2x +1.5y = 20

Then the appropriate system of equations is ...

2x = y2x +1.5y = 20

_____

Additional comment

The solution can be found by substituting for 2x to get ...

  y +1.5y = 20 . . . . . . substitute for 2x

  y = 20/2.5 = 8 . . . . divide by the coefficient of y

  x = y/2 = 4 . . . . . . . find the number of tetras

Rick bought 4 tetras and 8 goldfish.

__

The wording "twice as many goldfish as tetras" easily causes confusion. It is helpful to reword it as "goldfish were twice the number of tetras."

Find f(g(3)) and g(f(-2)).
f(x)=x²-1 and g(x)=2x-3

Answers

Answer:

1. 8

2. 3

Step-by-step explanation:

[tex]f(g(3)) \\= f(2(3)-3))\\=f(3)\\=3^2-1\\= 9-1\\=8\\\\g(f(-2))\\= g((-2)^2-1)\\=g(4-1)\\=g(3)\\=2*3-3\\=3[/tex]

What is the y-intercept of this quadratic function f(I)=-i2+10i-22

Answers

The y-intercept of the quadratic equation is -47.

What is Quadratic Equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given quadratic equation;

    f(i) = i² + 10i - 22

or, y = i² + 10i - 22

     y = i² + 2.5x - (47-25)    

    y = i² + 2.5x + 25 - 47

    y = (i+5)² - 47

Thus, the y-intercept of the quadratic equation is -47.

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Please helpppp I really need please

Answers

Step-by-step explanation:

please mark me as brainlest

Can someone help me find AB and BC

Answers

3x + 2x + 5 + 5x + 15 = 180 [angles on a line add to 180 degrees]10x + 20 = 180 [combine like terms]10x = 160 [subtract 20 from both sides]x = 16 [divide both sides by 10]

Arc AB measures 3(16) = 48 degrees.

Arc BC measures 2(16) + 5 = 41 degrees.

There is a 45% chance of snow on Friday. Thereis a 78% chance that I will go sledding if it snows. What is the probability that I will go
sledding?

Answers

Answer:

35.1% chance of going sledding

Step-by-step explanation:

45% chance of snow on Friday

Convert percentage to decimal form (divide by 100)

45% = 0.45

78% chance of sledding if it snows

Convert percentage to decimal form (divide by 100) to multiply

78% = 0.78

Multiply to find the probability of both occurring

0.78 * 0.45 = 0.351

Convert back into a percentage (multiply by 100)

0.351 = 35.1% chance of sledding

Let me know if you have any questions!

if n × 18 = ½ find n

Answers

n=1/2/18
n=1/2 multiplied 1/18
n=1/36

Answer:

n = [tex]\frac{1}{36}[/tex]

Step-by-step explanation:

n × 18 = [tex]\frac{1}{2}[/tex]

To find the value of n we have to divide both sides by 18.

Let us solve it now.

18n = [tex]\frac{1}{2}[/tex]

[tex]\frac{18n}{18}[/tex] = [tex]\frac{1}{2}[/tex] ÷ 18

n =  [tex]\frac{1}{2}[/tex] ÷ 18

n = [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{18}{1}[/tex]

n =  [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{18}[/tex]

n = [tex]\frac{1}{36}[/tex]

The graph of y = is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)?

Answers

If the function is reflected over the y-axis and then translated down 2 units. the resulting function will be -∛x - 2

Transformation of coordinates

Transformation is a technique used to change the position of an object on an xy-plane.

Given the function y = ∛x

If the function is reflected over the y-axis and then translated down 2 units to form f(x), the resulting function f(x) will be:

f(x) = -∛x - 2

The graph of the resulting function is attached

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Answer:

B

Edge 2023

The other answer is incorrect!!!

What are the measures of ∠1 and ∠2? Show your work or explain your answers.

Answers

Answer:

angle 1 is 105degrees and angle 2 is 75degrees

Step-by-step explanation:

The angle below angle 2, presumably angle 6, is also 75 degrees since line c and line d are parallel. If angle 2 is 75 degrees then we know that angle 1 is 105 degrees since both angles equal a straight line and a straight line has 180 degrees.

s x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.

Answers

By using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

What is factorization?

Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.

The factorization by using the Remainder theorem.

x - 5 )   x³ – 5x² + 7x – 35.( x ² + 7

             x³  -  5x²

             ______________

                00         7x - 35

                             7x - 35

              -------------------------

                                     00

Here the function is completely divided by the factor x - 5 therefore

by using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

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Margo borrows $600, agreeing to pay it back with 7% annual interest after 8 months. How much interest will she pay?

Answers

The interest which has to be paid is $28.

Simple Interest amount can be estimated by the product of principal amount, rate of interest, and time in year.

Simple Interest= S.I. =p*t*r/100

where p is the principal amount,

r: interest rate (%)

t: the time (in year).

Here, given,

Margo has taken borrowed $600 with an annual interest of 7% which has to be paid within 8 months.

principal amount P = $600

rate of interest= r=7%

time=t=8 months= 2/3 year

using the above-mentioned formula,

Simple Interest S.I.= p*t*r/100= (600*(2/3)*7)/100= $28

Therefore the interest which has to be paid is $28.

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the height of a toy rocket

Answers

16t2 + 48tf = 16t2 + 48t

The second one is the answer

I NEED HELP ASAP!!!!

Samuel entered the following key strokes on his calculator.

5 EE (-) 9 divided by 2 EE 4

What did Samuel's calculator display?

A. 2.5E - 13
B. 2.5E - 4
C. 2.5E5
D. 2.5E14

Whoever gets this CORRECT may get MARKED BRAINLIEST.

Answers

In the case above about Samuel, one can say that Samuel's calculator has display option A.  2.5 E (- 13)

What is the calculation about?

The function was  [tex]\frac{5E (-9) }{2E(4) }[/tex] :

We know that, E implies 10 to rise to power.

So, The equation above is Converted from scientific notation into standard form.

 [tex]\frac{5 x 10^-9 }{2 x 10^ 4 }[/tex]

= 5/2  x 10 ⁻⁹⁻⁴

=2.5 x 10⁻¹³

Therefore, In the case above about Samuel, one can say that Samuel's calculator has display option A.  2.5 E (- 13)

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An object is dropped from 39 feet below the tip of the pinnacle atop a ​715-ft tall building. The height of the object after seconds is given by the equation . h=16T^2+676.Find how many seconds pass before the object reaches the ground.

Answers

Answer:

6.5 seconds

Step-by-step explanation:

Ok so the equation you gave is -16T^2 + 676 in the comments which is what I'll be using for this problem. The problem is really just asking you to find the zeroes of the equation excluding any negative solutions since that doesn't really represent anything in this context since T is time.

So the first step is to set the equation equal to 0

[tex]0 = -16t^2 + 676[/tex].

Subtract 676 from both equations.

[tex]-676 = -16t^2[/tex]

Divide both sides by -16

[tex]42.25 = t^2[/tex]

Take the square root of both sides

[tex]\pm6.5 = t[/tex]

Ignore the negative and take only the positive solution, since in this context it doesn't make much sense. So after 6.5 seconds the height is 0, meaning it hits the ground after 6.5 seconds.

Which equation has x-intercepts located at (-1,0) and (-5,0)?
A. y=(x + 1)(x - 5)
B. y=(x + 1)(x + 5)
C. y=(x-1)(x - 5)
D. y=(x-1)(x + 5)

Answers

Answer:

B. y = (x+1)(x+5)

Step-by-step explanation:

If the x-intercepts are (-1,0) and (-5,0), then the solutions (also called zeros and x-intercepts) are

x = -1 and x = -5

This is a "working backwards" kind of problem. If you were solving the equation, right before the final step, x=-1 would have been:

x + 1 = 0

Right before x=-5

would have been,

x + 5 = 0.

These two: x+1 and x+5 are called the linear factors. You multiply them back together to find the equation.

y = (x+1)(x+5)

3xy - ² + 4x for x = -2, y = - and = 6?

Answers

Answer:

See below

Step-by-step explanation:

Not sure what you are asking....do you want to know what y is when x = -2   and the equation = 6 ?

3 xy^2 + 4x = 6         or is that    3 xy^(-2) + 4x = 6

Could use some serious editing of your question if you are able ....

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