Professor Plum is standing 10 feet from a streetlamp. The light from the lamp is making his
shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the
top of the streetlamp is 40. About how high is the streetlamp? (6 points)

Answers

Answer 1

Answer:

15.10 ft

Step-by-step explanation:

It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.

tan (theta) = opposite side / adjacent side

tan 40 = x / 18

x = 15.10 ft

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Related Questions

For this question, is it asking for the total surface area of a cone? I tried that and I got none of the answer choices .

Answers

Answer:

i think its both the cone and the semi cirle on top

Evaluate the expression 7a² - 3b³ when a) a= 4, b= -2 b) a= -8, b=5
You will end up with 2 answers here, substitute and solve.

Answers

Answer

Step-by-step explanation:

7a²-3b²

Replace a=4, b=2

7*4²-3*2²

= 112-12

= 100 first answer

7a²-3b²

Replace a=8, b=5

7*8²-3*5²

448-75

= 373 second answer

Consider the following ratios and state that whether these ratios forms a proportion?
​Case1 - 20 friends to 15 strangers
Case 2 - ​ 4 friends to 3 strangers​
A. Yes
B. No

Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
​ Answer:_____________

​Note: Type the answer as shown. Ex: (3:8)

Answers

Answer:

yes

Step-by-step explanation:

Be cause i whant points 20=15 7213=938401

Part A. Yes, these ratios forms a proportion

Part B-  the ratio of the number of friends in Case 1 to the number of friends in Case 2 is 5:1

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The ratios in cases 1 and 2 form a proportion. IT can be seen by dividing case a by 5 which gives 4:3;

i.e 20:15

If we divide both numerator and denominator by 5, then we have 4/3.

This shows case 1 and 2 have the same proportions of friends to strangers.

Part B; The number of friends in case 1 is 20 while in case 2 is 4.

we have, 20:4

= 20  4

Dividing each by 4, we have 5:1.

Which means that the ratio of friends that in case 1 to case 2 is 5:1.

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An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the
cookie increases by 25%. Which expression best represents the new length of the
cookie?

A. 0.25y
B. 0.75y
C. 1.25y
D. 12.5y

Answers

Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

The expression best describes the new length of the cookie will be 1.25y.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

An uncooked gingerbread cookie is y centimetres long. After it is baked, the length of the cookie increases by 25%.

The initial length of the cookie is y after baking the length is increased by 25%

=   y  +  25%y

=   y   +  ( 25 / 100 ) y

=   y  +  0.25 y

=  1.25 y

Therefore the expression best describes the new length of the cookie will be 1.25y.

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find all solutions to the equation 5sin(3pix)+8=4 in the interval 0 < x < 2

Answers

Answer:

First one

Step-by-step explanation:

5sin(3pix)+8=4

5sin(3pix) = -4

sin(3pi x) = -0.8

Basic angle: sin^-1(0.8) = 0.927295218

3pi x = pi+0.927295218, 2pi-0.927295218

3pi x = 4.068887872, 5.355890089, 4.068887872 + 2pi, 5.355890089 + 2pi, 4.068887872 + 4pi, 5.355890089 + 4pi,

x = above values/3pi

x = 0.43217, 0.568, 1.0984, 1.235, 1.765, 1.9016

Determine the intercepts of the line.
y = 10x - 32
y-intercept: (
z-intercept: (

Answers

Answer:

see below

Step-by-step explanation:

y = 10x - 32

To find the x intercept set y =0 and solve for x

0 = 10x -32

Add 32 to each side

32 = 10x

Divide by 10

32/10=10x/10

3.2 = x

To find the y intercept set x =0 and solve for t

y = 10*0 -32

y= -32

Answer:

y.(0,-32)

x.(3.2,0)

Step-by-step explanation:

What is the square root 25

Answers

Answer:

5

Step-by-step explanation:

you could use a calculator, but it works like this too i guess. :P also you could just try and guess, "what squared (multiplied by itself) is 25" good luck

Answer:

5 should be the answer for the square root

Financial Literacy: Question 2Gordon opened a savings account with an initial deposit of $1,200.His balance will earn 2.5% simple interest overy year, Balley openeda savings account with an initial deposit of $900. Her balance willearn 3.25% interest compounded annually. The deposits were madeon the same day, and no additional money will be deposited orwithdrawn from the accounts. Which statement about the balances ofGordon's account and Balley's account at the end of 6 years is true?​

Answers

Answer:

In 6 years form now, the balance in Gordon's account will be = {$1,200 x [1 + (2.5% x 6 years)]} = $1,380

his account will have earned = 2.5% x 6 years x $1,200 = $180 in interests over the six years

In 6 years form now, the balance in Bailey's account will be = $900 x (1 + 3.25%)⁶ = $1,090.39

his account will have earned = $190.39 in interests over the six years

Bailey's account earned more interest than Gordon's, even though his initial balance was much lower. This was due to higher interest rates and more important, because Bailey earned compound interest.

Please help! I need the answer to all of them ASAP

Answers

area of rectangle : length x width

1) 7 x 5 = 35

area = 35 in^2

2) area of trapezoid : (a+b)h/2

area = 272 cm^2

3) area = 45.5 in^2

4) area of rhombus : base x height

area =  80 m^2

5) area = 108 cm^2

Answer:

number one is 35in its important to say inches after but in the abbreviation

Step-by-step explanation:

if you need to show your work then put on the side of it

  7in

x 5in

-------

  35in

An aquarium is designing a new exhibit to showcase clownfish and queen angelfish. The exhibit will hold a rectangular tank with length twice the size of the width, height is equal to 4 feet and total volume will equal to 500 cubic feet. What is a reasonable width of the tank to the nearest tenth of a foot?

Answers

Answer:

The width of the tank is approximately 7.9 feet.

Step-by-step explanation:

The pool is a rectangular prism with the following dimensions:

length = 2*x feet

width = x feet

height = 4 feet

With volume equal to 500 cubic feet, therefore:

volume = length*width*height = 500

(2*x)*(x)*(4) = 500

8*x² = 500

x = sqrt(500 / 8)

x = sqrt(62.5)

x = 7.90569 feet

The width of the tank is 7.9 feet.

If the volume of the pyramid is 72cm, what is its height in cm?
4 cm
6 cm
A) 3
B) 9
C) 12
D) 18

PLS HELP ME!

Answers

it is b.9 because u have to multiply (w×h×l)/3

Answer:

9

Step-by-step explanation:

Which expression is the same as 8 ones and 72 thousandths?

Answers

Answer:

8.072

~Savannah:))

Answer:

(8×1)+(7×1/100)+(2×1/1000)

$500(1+0.045)^2 -$500(1+0.04)^3

Answers

Answer:-16.4195 US$

Step-by-step explanation:

People attending a football game were asked what their favorite sport was biased or unbiased ??

Answers

Answer The answer is biased.

Two rectangles with the same side length are always congruent

Answers

Answer:

no

Step-by-step explanation:

the length and the width in one rectangle are the same as the length and width in a second rectangle, then yes those rectangles must be congruent. If you just mean the lengths of 2 rectangles are equal, but their widths are different, then no those rectangles are not congruent.

Scott is driving to visit family. After 3 hours of driving, Scott traveled 180 miles. After driving for 5 hours at the same rate, he traveled 300 miles. Which equation represents this situation?

Answers

Answer:

3X=180    and   or   5X=300

X being the constant of how many miles they traveled per hour (which is 60)

Step-by-step explanation:

Not the best but hoped it helped

Answer:

y = 60x

Step-by-step explanation:

Just did it on Edmentum and got it right

According to a survey by the beach lifeguards, there is a 25% chance that surfers will see a dolphin while surfing. Which simulation could you use to answer questions about whether a surfer will see a dolphin?

Answers

By Probability, 0.25 is simulation could you use to answer questions about whether a surfer will see a dolphin.

What does a probability simple definition entail?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability is a measure of how likely or likely-possible something is to happen.

                                         For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one method to acquire a head and there are a total of 2 potential outcomes (a head or tail). P(heads) = 12 is the formula.

the beach lifeguards, there is a 25% chance.

                25%  = 1/4 = 0.25

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A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?

Answers

Answer:

Length 6,  Width 2

Step-by-step explanation:

6x2 = 12 = Area

6+6+2+2= 16 = Perimeter

Answer: A. 2 ft by 6 ft

Step-by-step explanation: I took the test and got it right.

What is the factored form of the polynomial? X^2 -12+27?

Answers

Answer:

(x-9)(x-3)

Step-by-step explanation:

Look to the number on the right, 27, and list out the factors. (1 and 27, 3 and 9, -1 and -27, -3 and -9)

Next, find the factors that would equal the middle number, -12, when added. -3 and -9 add to -12. Therefore, choose these numbers and put them in the form (x-9)(x-3).

Answer:

D

Step-by-step explanation:

edge2022

Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can Jim and his friends go through the turnstile

Answers

Answer:

6 ways

Step-by-step explanation:

The total number of people we have entering Kennywood is 6, since it’s Jim with 5 of his friends.

Now, we can only have movement through the game one at a time

The number of ways they can move through the gate one at a time is 6C1 ways

and that is mathematically;

if we are to select a number of r items from a total of n, the number of combinations or ways is;

nCr = n!/(n-r)!r!

Applying these to the problem at hand, we have

6!/(6-1)!1! = 6!/(5!)(1!) = (6 * 5!)/5! = 6 ways

Ma poate ajuta cineva la acesta problema: pe o drepta g considerati punctele D, R,P si T coliniare in aceasta ordine astfel incat DR=PT=3 cm, iar RP=4cm

Answers

Answer:

Givens

[tex]DR=PT=3cm[/tex] and [tex]RP=4cm[/tex]

Points D, R, P and T are collinear.

The image attached shows a representation of this problem.

By sum of segments, we have

[tex]DT=DR+RP+PT[/tex]

Replacing all given values, we have

[tex]DT=3+4+3=10 \ cm[/tex]

Therefore, the segment DT is 10 centimeters long.

Now, we know that point E is the center of segment RP, which means is a middle point, divides the segment equally. So, to prove that segment DT is symmetrical regarding point E, we need to prove that both sides are equal.

[tex]RE=EP=2cm[/tex], by definition of middle point.

By sum of segments, we have

[tex]DR+RE=3+2=5cm\\EP+PT=5cm[/tex]

Which means [tex]DR+RE=\frac{DT}{2}\\ EP+PT=\frac{DT}{2}[/tex].

Therefore, segment DT is symmetrical regarding point E.

Will mark as brainliest if correct

Answers

Answer:

x=((log(81))/(log(3))+2)/3

Step-by-step explanation:

so what you want to do is get 3x-2 out of the exponent

you can do that by using log

so apply log to both sides and you get

log(81)=(3x-2)log(3)

the 3x-2 is moved in front of the log due to a log rule

then (log(81))/(log(3))=3x-2

(log(81))/(log(3))+2=3x

((log(81))/(log(3))+2)/3=x

then use a calculator to find the exact value

hope this helps im sorry my explanation is a bit confusing, ask any questions you have

Explain how you could use less than or equal to and greater than or equal to in a real-life scenario.

Answers

Answer:

Businesses: to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials.

Step-by-step explanation:

Hope this is helpful

A store sells pencils and erasers. Five pencils and 10 erasers cost $1.05. Two pencils and five erasers cost 0.44 $. How much would seven pencils and seven erasers cost?

Answers

Answer:

1.33

Step-by-step explanation:

define composite figure

Answers

Answer:

A figure or shape that can be divided into more than one of the basic figures, which is said to be a composite figure.

A pair of dice is rolled. What is the probability of getting a sum of 6?

Answers

Answer:

1/6

Step-by-step explanation:

Since you are rolling the die only one time there is only one way of you getting a 6 and that is rolling an actual 6. There are six sides to the die so you take the one 6 out of the the others and there is your probability.

Answer:

5/36

Step-by-step explanation:

I got it right

Mr. Doyle needs to mow his rectangular lawn that measures 23 x 25 square feet. Does he need to find the area or the perimeter of the lawn if he wants to mow the entire lawn? What is the total amount of lawn that he will mow?

Answers

Answer:

For this case Mr Doyle nees to cut his rectangular lawn and we assume that all the place is covered by lawn so then we need to find the area.

[tex]A = 23ft* 25 ft = 575 ft^2[/tex]

So then Mr Doyle need to mow 575 ft^2 in order to finish the job

Step-by-step explanation:

For this case Mr Doyle nees to cut his rectangular lawn and we assume that all the place is covered by lawn so then we need to find the area.

And the area for a rectangular shape is given by:

[tex] A = lw[/tex]

Where l is the length and w the width. If we replace the info given we got:

[tex]A = 23ft* 25 ft = 575 ft^2[/tex]

So then Mr Doyle need to mow 575 ft^2 in order to finish the job

Answer:

[tex]A = 23ft\times25 ft \\\\= 575 ft^2[/tex]

Mr Doyle need to mow [tex]575 ft^2[/tex] in order to mow the entire lawn

Step-by-step explanation:

Mr. Doyle needs to mow his rectangular lawn that measures 23 x 25 square feet.

we will have to find the area.

And the area for a rectangular lawn is Length * Breadth

A = L * B

Where l is the length and B is the width.

L = 23 square feet

B = 25 square feet

By inputting the values we get,

[tex]A = 23ft\times25 ft \\\\= 575 ft^2[/tex]

Therefore, Mr Doyle need to mow [tex]575 ft^2[/tex] in order to mow the entire lawn

If you wanted to safely climb a 50-foot wall, what’s the shortest ladder you’d be willing to use? Explai

Answers

Answer:

If I wanted to safely climb a 50 foot wall, I would use a 51 foot ladder.

Step-by-step explanation:

If I wanted to climb a fifty foot (50 ft) wall, I would use a fifty one foot (51 ft) ladder because the safe way to position a ladder against the wall requires that I leave one foot (1 ft) distance from the base of the ladder to the wall. That way, the ladder won't be too close nor too far from the wall.

ZB=
I
Round your answer to the nearest hundredth.
A
5
?
B

Answers

Answer:

∠B = 36.87

Step-by-step explanation:

Since you are trying to find the angle measurement, you must use the inverse of cosine: [tex]cos^{-1}[/tex] (you're using cosine because you have the opposite side and adjacent side):

[tex]cos^-1(4/5)[/tex]

≈36.87

2 2/9 as an improper fraction

Answers

Answer:

20/9

Step-by-step explanation:

You multiply the whole number by the denominator, then you add that to the numerator and write it as 20/9.

hope this helps!

(please give brainliest) :)

An improper fraction form of fraction 2 2/9 is,

⇒ 20/9

We have to given that;

A mixed fraction is,

⇒ 2 2/9

Now, We can simplify as;

⇒ 2 2/9

Change into improper fraction,

⇒ (9×2 + 2) / 9

⇒ (18 + 2) / 9

⇒ 20/9

Thus, An improper fraction form of fraction 2 2/9 is,

⇒ 20/9

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