Answers
Answer:
Length of the shadow = 20.5 cm
Step-by-step explanation:
Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.
Definition:The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.
The algebraic representation of the Pythagorean Theorem is:
c² (hypotenuse) = a² (leg₁) + b² (leg₂)
SolutionTo solve for the given problem:
Let c = 38 m (distance from the top of the building to the tip of the shadow)
a = unknown length of the shadow
b = 32m (height of the building)
Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:
c² = a² + b²
Subtract b² from both sides:
c² - b² = a² + b² - b²
a² = c² - b²
Substitute the given values into the formula for solving a :
a² = c² - b²
a² = (38)² - (32)²
a² = 1444 - 1024
a² = 1444 - 1024
Next, take the square root of both sides to solve for a:
[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]
a = 20.49 or 20.5 cm
Therefore, the length of the shadow is 20.5 cm.
Related Questions
Select the correct answer.
You're trying to determine how much money it would cost to hire a lawn mowing company to cut your grass. Your yard
measures 8,712 square feet. The lawn mowing company charges a base rate of $30, plus $20 for every tenth of an
acre. You determine that it will cost $70 to hire the lawn mowing company. Which sentence best describes this price
estimate?
A. The price should be $50 because you have a 0.1 acre yard.
B. The price should be $50 because you have a 0.2 acre yard.
C. The price should be $90 because you have a 0.3 acre yard.
D.
The price estimate is accurate,
Answers
Help me with the whole thing pls
Answers
Answer:
B and 90%
Step-by-step explanation:
4500 = m•5000
m = 0.9 × 100%
90% of the books are fiction
I need some help with this question, can anyone help me?
Answers
Answer: IM only in midle school i think this is it 7(3e + 5)
Step-by-step explanation: f it is brainliest whe someone answers pls ps you next question ready
in a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 82p.
How much would it cost to get exactly three bottles of lemonade using this offer?
£
Answers
Answer: 114p
Step-by-step explanation:
Hope it helps
which number s below belong to the solution set of the inequality check all that apply 4 times less than 112 pls help me
Answers
The values of "s" that belongs to the solution set must be less than 28.5
The inequality that represents the statement 4 times "s" less than 112 is expressed as;
4s < 112Divide both sides of the inequality expression by 4 as shown:
4s/4 < 114/4
s < 114/4
s < 28.5
Hence the values of "s" that belongs to the solution set must be less than 28.5
Learn more on inequalities here: https://brainly.com/question/12371526
can someone help me find the fa tor of (128m^2n^5 - 200m^4n^3)?
Answers
Answer:
[tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]
Step-by-step explanation:
[tex]128m^2n^5-200m^4n^3[/tex] <-- Given
[tex]m^2(128n^5-200m^2n^3)[/tex] <-- Factor out m²
[tex]m^2n^3(128n^2-200m^2)[/tex] <-- Factor out n³
[tex]8m^2n^3(16n^2-25m^2)[/tex] <-- Factor out 8
[tex]8m^2n^3(4n-5m)(4n+5m)[/tex] <-- Difference of Squares
Therefore, the factors are [tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]
To find the surface area, Brad splits the figure into two pieces, the rectangular prism and
the triangular prism.
He finds the total surface area of the rectangular prism by finding the area of each face
to get 1,104 cm
He then finds the total surface area of the triangular prism by finding the area of each
face to get 1,008 cm
Finally, he adds the surface areas together to get 2,112 cm.
Is Brad's solution correct? Why or why not?
Select the option that correctly answers both questions.
No, he did not find the correct total surface area for the triangular prism.
O No, he did not find the correct total surface area for the rectangular prism.
No, he needs to subtract the areas of the faces where the two prisms are
attached
Yes, he correctly found the sum of the surface areas for each prism.
Answers
The surface area of the figure is the amount of area covered by the figure.
The figure is not given, so I will give a general solution.
The method followed by Brad to calculate the surface area of the prism is correct.
However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.
So, the conclusion is that:
If Brad's calculation of the surface areas of the prisms is correct, then the surface area of the figure is correct because 1104 + 1008 = 2112.If otherwise, then the solution is incorrectRead more about surface areas at:
https://brainly.com/question/484723
Solve for the variable 2y<14 A) y<12 B) y>-7 C) y>7 D) y<7
Answers
Answer:
D) y < 7
Step-by-step explanation:
So we have 2y < 14:
To solve, we will simply divide by 2 on both sides in order to isolate the y value. Now we have y < 7.
Hope this helps you :)
is y =6x a linear function
Answers
Answer:
Yes
Step-by-step explanation:
Here is the graph!
Yes.
y = 6x is a linear function because it makes a straight line on the graph. Also, the degree is 1.
____
Hope it helps ⚜
math
rate of change and show me how u did it:( <3
Answers
Answer:
y = m x + b equation for a straight line
if x = o then y = 4 from graph
y = 0 + 4 and b = 4
If x = 8 then y = 24 from graph
24 = m * 8 + 4 substituting in our equation
m = 20 / 8 = 2.5 giving slope or rate of change
y = 2.5 x + 4 the final equation with a slope of 2.5
As a check using the graph:
We see that if y = 24 then x = 8
24 = m * 8 + 4 substituting in our equation
m = 20/8 = 2.5 agreeing with the value found
helppppppppppppppppppp
Answers
Answer:
B. a×1
Step-by-step explanation:
This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication
Which table of values is defined by the function y = 5x + 4?
Answers
please help me i’m being timed!!!
Answers
Answer:
B
Step-by-step explanation:
The heaviest pig on the farm weighs 100 pounds
HELP ASAP PLEASE!!
full work shown gets brainliest!!
What is the product of 8 radical 5and 2 radical 30 in simplest radical form?
Answers
Answer:
= 40√6
Step-by-step explanation:
least common multipler of 8,2:8
Solve for x.
x2 + 4x - 21 = 0
Answers
6x - 21 = 0
6x = 21
x=3.5
solve by factoring 9x^4-16=0
Answers
A=6,500(1.0175)^4t
How long would the person need to leave their money in the bank until it reaches $20,100? Round the nearest whole number!
Answers
The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years
Given the exponential equation expressed as:
[tex]A=6500(1.0175)^{4t}\\[/tex]
Given that A = 20100, Substituting into the expression will give;'
20100 = 6500(1.0175)^4t
20100/6500 = (1.0175)^4t
3.0923 = (1.0175)^4t
Taking the ln of both sides
ln3.0923 = 4tln(1.1075)
4t = ln3.0923 /ln(1.1075)
4t = 1.12891/0.1021
4t = 11.05690
t = 11.05690/4
t = 2.76
t ≈ 3 years
Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years
Learn more on compound interest here: https://brainly.com/question/24274034
A carpet cleaning company charges $55 per hour. Is the relationship a proportional relationship? Explain. Complete the table.A. Yes it has a constant rate change.B. Yes it has a constant rate of change.C. No it does not have a constant rate of change.
Answers
Answer:C
Step-by-step explanation:
Which is the graph of 2x-4y>6?
Answers
Solving for x :-
2x - 4y > 6
=》x - 2y > 3
=》x > 3 + 2y
Solving for y :-
2x - 4y > 6
=》x - 2y > 3
=》y < x - 3/2
■ See the attachment for the graph. Since you have not shared the graphs..any graph which looks like this in your question is the correct one.
____
Hope it helps ⚜
Please help me with this
Answers
Answer:
8 3/42, 34 1/2, 11 1/49 3/4, 16 1/4Y/B = 2/3Step-by-step explanation:
a)The first line is simply the sum of the two given numbers.
3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4
__
To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...
Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3
Then ...
Y : B : total = 2 : 3 : 5
This tells you the numbers on the second line are ...
Y = 2; B = 3
__
The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...
Y = 2(2 1/4) = 4 1/2
total = 5(2 1/4) = 11 1/4
__
The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...
B = 3(3 1/4) = 9 3/4
total = 5(3 1/4) = 16 1/4
_____
b)The equation is the one we used to find the values on the second line:
Y/B = 2/3
Ms.yuhas from beloved community charter school is smart and helpful
Answers
Fill in the blank for this graph.
Answers
Answer:
2.22
Step-by-step explanation:
I don't know what to pick..
Answers
Answer:x=3
Step-by-step explanation:Multiply both sides of equation by four. Subtract 56 from the left and move to the right. Calculate 80-56. Divide by 8 on both sides x=3
If a = 5, b = 2, c = 4, then 6ab - 2c =
628
52
2
60
Answers
Answer:
52
Step-by-step explanation:
Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
Answer: 52 because if you Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
like ponitail151 said.
(-3, 5), (-4, 5) what is the slope
Answers
Answer:
0
Step-by-step explanation:
(5-5)/(-4+3) = 0/-1 = 0
A plant grows at a constant rate. The table shows the heights of the plant for different numbers of days of growth. Which of the following pairs of days and heights could also be included in the table? Select all that apply.
Answers
HELP ME PLEASE!! I NEED THIS!
Determine whetherf(z) = 5x^2 -20x + 3 has a maximum or a minimum value and find that value.
the graph" will also not earn the credit.
Answers
Answer:
min{5 x^2 - 20 x + 3} = -17 at x = 2
Step-by-step explanation: here's the graph
Can someone help me with this? Its fairly easy but i genuinely dont remember
Answers
Do you understand Geometry so far? What can help you improve learning Geometry?
Teyt style
Answers
Answer:
My graph. I can practice that can help.
Triangle UVW is dilated by a scale factor of 6 to form triangle U'V'W'. Side W'U'
measures 18. What is the measure of side WU?
Answers
Answer:
WU= 3
Step-by-step explanation:
Know that, W'U'÷ (scale factor) = WU
18÷6 is equal to 3
scale factor= 3