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
Simplify 30 ÷3 of [37-{30÷(13-20+12)}-26]
Answers
Explanation:
30 ÷3 of [37-{30÷(13-20+12)}-26]
= 30÷3 × [37-{30÷(25-20)}-26]
= 30÷3 × [ 37-{30÷(5)}-26]
= 30÷ 3 × [37-{30÷5}-26]
= 30÷3 × [ 37 - {6}-26]
= 30÷3 × [ 37-6 - 26]
= 30÷3 × [ 37 - 32]
= 30÷3 × [5]
= 30÷3 ×5
= 30÷15
= 2Ans.
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Answer:
[tex] \rm \: Given,30 ÷3 \: of \: [37-{30÷(13-20+12)}-26][/tex]
[tex] \rm \: The \: operation \: 'of'[/tex]
[tex] \rm \: The \: expressions \: like \: twice \: of,one \: fifth \: of, eight \: percent \: of,the \: meaning \: 'of' \: is \: multiplication \: with.[/tex]
[tex] \rm \: 30 ÷3 \times [37-{30÷(13-20+12)}-26][/tex]
[tex] \rm \: 30 ÷3 \times [37-{30÷(13 + 12 - 20)}-26][/tex]
[tex] \rm30 ÷3 \times [37-{30÷(25-20)}-26][/tex]
[tex] \rm30 ÷3 \times [37-{30÷(5)}-26][/tex]
[tex] \rm \: 30 ÷3 [37-{30÷5}-26][/tex]
[tex]30 ÷3 [37-{6}-26][/tex]
[tex] \rm \: 30 \div 3\times [31 - 26][/tex]
[tex] \rm30 \div 3 \times 5[/tex]
[tex] \rm \: 10 \times 5[/tex]
[tex] \rm \: 50[/tex]
Find the LCM of 8, 4 and 6.
Answers
Answer:
Answer: LCM of 4, 6, and 8 is 24.
Answer:
24Step-by-step explanation:
8 → 8, 16, 24, 32, 40
4 → 4, 8, 12, 16, 20, 24, 28, 32, 36
6 → 6, 12, 18, 24, 30, 36
----------------------------------
So the LCM is 24.
-----------------------------------
- Hope it helps!
- Have a good day!
Hannah makes $46,675 per year, how much will she make each paycheck if she is paid
weekly?
Answers
Answer: $897.6
Step-by-step explanation: 46,675 a year, 52 weeks in a year. 46,675/52=897.6
Answer 1-2 no links.
Answers
Answer:
Step-by-step explanation:
Help i need help IM SO CONFUSED
Answers
Answer:
1. 3/8 are female
2. 1/6 ton
3. 1 and 31/40 kg
Step-by-step explanation:
1. 5/8-male, 8/8 - 5/8 = 3/8
2. 2/15 + 3/15 = 5/15, 5/15 = 1/3, 1/3 = 10/30, (1/2 = 15/30) 15 - 10 = 5, 5/30 = 1/6
3. 7/8 + 9/10 = 71/40
Answer:
Step-by-step explanation:
1) 5/8 of the staff is male, 5/12 of the staff works part time
the question askes what fraction of the workforce is female
if 5/8ths is male than the other 3/8ths are female
3/8 of the staff is female
2) how much food was fed at night
2/15 + (2/15 + 1/15) + x = 1/2
2/15 + (3/15) + x = 1/2
5/15 + x = 1/2
1/3 + x = 1/2
x = 1/6
1/6th of a ton was fed at night
3)
just add them
7/8 + 9/10 = 71/40 or 1 31/40
What is the median of the following data values?
10, 11, 12, 15, 19, 24, 27, 29, 33, 38
Answers
Answer:
21.5
Step-by-step explanation:
Make sure they are in order.
A median is basically (or literally) the number in the middle of the data set.
In this case, it is 19 and 24. To get the middle number, you have to:
Add the two numbers and divide them by 2.
19 + 24 = 43
43/2 = 21.5
: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
Answers
Answer:
There are 4.5 ounces (4 and a half, 4 1/2) in each container.
What does eight divided by 4/5 equal
Answers
Answer:
0.4
Step-by-step explanation:
I used a calculator so it should be correct
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super Savings Coupon of 45%, how much did Ms. Rowlen pay for the TV?
Answers
Answer:
116.55$
Step-by-step explanation:
[tex]259 \times \frac{45}{100} = 116.55[/tex]
20 points please help with this
Answers
Answer:
D) 12
Step-by-step explanation:
27:9=36:x
Well I'm assuming these 2 triangles are similar
Then
3:1=36:x
x=12
Answer:
Option D
Step-by-step explanation:
Since they are in proportion. So,
27 : 36 :: 9 : x
27 × x = 36 × 9
x = 36 × 9/27
x = 12 × 1
x = 12
round to the nearest percent. from 64 photos to 21 photos
Answers
Answer: 71 percent
Step-by-step explanation:
64-21=43
43/64=.71
Translate this sentence into an equation.
76 is the product of Greg's savings and 4.
Use the variable g to represent Greg's savings.
Answers
Answer: 76 = 4g
Step-by-step explanation:
76 is the product of Greg's savings and 4 can be represented as 76 = 4g
Help for points and Ill give brainliest to correct!
Answers
Answer:
D. 3 1/4
Step-by-step explanation:
Answer:
your answer would be D.
Step-by-step explanation:
all you have to do for this equation is subtract the whole numbers to get 3. and then subtract the fractions, you would get 2/8, then you would simplify it and get 1/4.
how much would it cost for a 9-hour repair
Answers
regardless 9 hours is a very long time so i would not expect it to be too cheap.
hope this helps
What is the slope-intercept equation of the line below?
5
17
5
O A. y= 2x-3
O B. y=-2x+3
V
O C. y= 2x+3
O D. y=-2x-3
Answers
Answer:
Step-by-step explanation:
a
what is 24% of 80 plzz help
Answers
Answer:19.2
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
1, 2, 10 i think this is correct
Answer:
1210Step-by-step explanation:
You answer the question by understanding what the problem statement is telling you.
The double number line shows that 2 1/2 bananas make 1 loaf of bread.
The first blank is filled with 1.
__
You notice the number of bananas on the second line of the table is double the number on the first line: 5 = 2 × (2 1/2). That means the number of loaves that can be made is 2 × 1 = 2.
The second blank is filled with 2.
__
You notice the number of loaves on the third line of the table is double the number of loaves you just filled in on the second line. That means the number of bananas required is double the number listed on the second line.
2 × 5 = 10
The third blank is filled with 10.
how do I do this, what is the answer?
Answers
Answer:
g=2-X/-3
Step-by-step explanation:
X=3g+2
To make g the subject, make it stand alone
While transferring 3g to the other side of the equation, the sign changes i.e + changes to -
The equation will then be written as: -3g = -X + 2 or -3g = 2 - x
Divide both sides by -3
g= (2-x)/-3
An artist spends $80 on brushes and paint. For canvas and
frames, she has to spend an additional $20 per painting.
Write an equation in slope-intercept form(y=mx+b) that shows
the relationship between the artist's total expenses(y) and the
number of paintings(x) that she makes.
Answers
Answer:
y = 20x + 80
Step-by-step explanation:
The length of a retangle garden is 4 yards more than its width The area of the garden is 60 square yards Find the with of the garden
Answers
PLEASE HELP WHAT IS THE DOMAIN AND RANGE OF THIS GRAPH
Answers
Pay attention in school bud
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
Find the fourth degree polynomial function with zeros 6,-6,6i
Answers
Answer:
See below
Step-by-step explanation:
6 is a solution to x-6=0, -6 is a solution to x+6=0, and 6i is a solution to x^2+36=0. So, we can do (x-6)(x+6)(x^2+36) to get (x^2-36)(x^2+36) which gets us x^4-1296. Therefore, the fourth degree polynomial with zeroes 6, -6, 6i is x^4-1296
my Christmas present to you
Answers
Answer:
i can help u if u need help
Step-by-step explanation:
Answer:
it's not Christmas but OK.
Step-by-step explanation:
btw thx!!
(2/3)³ in simplist form
Answers
I think
Answer:
[tex]\frac{8}{27}[/tex]
Step-by-step explanation:
2³ = 2 × 2 × 2 = 8
3³ = 3 × 3 × 3 = 27
( [tex]\frac{2}{3}[/tex] )³
= [tex]\frac{2^3}{3^3}[/tex]
= [tex]\frac{8}{27}[/tex]
3+1-4+7=?
I need help with this
Answers
Answer:
Step-by-step explanation:
first step: 3 + 1 = 4
second step: 4 - 4 = 0
third step: 0 + 7 = 7 (the answer is 7 )
The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,−3). If the coordinates of AA are (2, -5)(2,−5), what are the coordinates of BB?
The formating kinda screwed up
Answers
Using the mid-point concept, it is found that the coordinates of B are (-2, -1).
The mid-point of two points is the mean of the coordinates of each point.In this problem:
The points are: A(2, -5) and B(x,y).The mid-point is (0, -3).Applying the concept for both the x and y-coordinates, we have that:
[tex]\frac{x + 2}{2} = 0[/tex]
[tex]x + 2 = 0[/tex]
[tex]x = -2[/tex]
[tex]\frac{-5 + y}{2} = -3[/tex]
[tex]-5 + y = -6[/tex]
[tex]y = -1[/tex]
The coordinates of B are (-2, -1).
To learn more about the mid-point concept, you can take a look at https://brainly.com/question/10956693
solve pls brainliest
Answers
Answer:
Down below
Step-by-step explanation:
No
no,
yes
,I am not sure,
yes
integers are whole numbers
I am not sure of one of them sorry.
What is the measure of ZB?
Answers
Answer:
Answer:[tex] m\angle A = 72\degree \m\angle B = 108\degree [/tex] Step-by-step explanation:ABCD is a parallelogram. Since, op
A consumer magazine wants to figure out which of two major airlines lost a higher proportion of luggage on international flights. The magazine surveyed Standard Air (population 1) and Down Under airlines (population 2). Standard Air lost 45 out of 600 bags. Down Under airlines lost 30 of 500 bags.
Does Standard Air have a higher population proportion of lost bags on international flights?
Calculate the appropriate p-value.
i. 0.0817
ii. 0.1634
iii. 0.8366
iv. 0.9183