A pole that is 3.3 m tall casts a shadow that is 1.4 m long. At the same time, a nearby building casts a shadow that is 47.5 m long. How tall is the building?
Round your answer to the nearest meter.
Answers
Answer:
[tex]112\:\mathrm{m}[/tex]
Step-by-step explanation:
If you were to draw a diagram, you could form two similar triangles using the pole and the building (unsolvable otherwise). Since these triangles are similar, we can write the following proportion:
[tex]\frac{3.3}{1.4}=\frac{h}{47.5}[/tex], where [tex]h[/tex] is the height of the building.
Solving, we get:
[tex]h=\frac{47.5\cdot 3.3}{1.4},\\h\approx \fbox{$112\:\mathrm{m}$}[/tex] (rounded to the nearest meter as requested in the problem).
I've drawn the figure below for reference:
Related Questions
Which of the following choices is correct about the information shown on the graph below?
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What is 85% of 30?
It seems to not be working for me
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Answer:
25.5
Step-by-step explanation:
Put the digits in your calculator 30×85% and you will get 25.5
8x - 1 1/7 (1 1/3x - 12) Help pls.
Answers
Answer:
= 47/21x + 132/7
hope this helps!
Step-by-step explanation:
If a car has a velocity of 40 km/h west and then comes to a stop in 5s, what is its acceleration in m/s^ 2
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Answer:
8
Step-by-step explanation:
Here the velocity of initial velocity is 40 & final is 0 so use formula
Answer:
what that guys said
Step-by-step explanation:
yeha
What does 6 times 6 times 48 times 90 equal
Answers
Answer:
155,520
Step-by-step explanation:
Factor: 24x^2 + 12x - 12
Answers
576x + 12 x = 588
588 - 12 = 576
Simon and his relatives were gathering
for a family reunion. There were 9 pairs
of aunts and uncles. For every 3 uncles,
there were 4 cousins. There were also
2 grandparents, plus Simon's parents
and sister
How many people were at the reunion?
Answers
Answer:36
Step-by-step explanation:
1 +9+ +9+ 12+ 2+ 3+1 =36
Simon 1
9 Pairs pf aunts & uncles= 18
every 3 uncles theres 4 cousins=12
grandparents 2
parents 2
sister 1
x + x + y x y
i will give brainilist to the person who is correct
Answers
x+x+x+y x y= 2x+y^2
x + x = 2x
y * y = y^2
Answer= 2x + y^2.
if 2 sides of a triangle measure 6 and 16 find the range for the 3rd side
Answers
Step-by-step explanation:
Range if third side is in between 10-22
Reason:
For the lowest value of third side 16-6= 10
For the highest value if third side 16+6= 22
⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡
Answer:
10
Step-by-step explanation:
big brain B)
Atiya rolls a 7.0 kg bowling ball down the
alley for the championship. One pin is still
standing, and Atiya hits it head-on with a
velocity of 9.0 m/s. The 2.0 kg pin moved
forward with a velocity of 14.0 m/s. What is
the new velocity of the bowling ball?
Answers
Answer:
5 m/s
Step-by-step explanation:
According to law of conservation of momentum :
m1u1 + m2u2 = m1v1 + m2v1
m1 = 7kg ; u1 = 9m/s ; m2 = 2kg ; u2 = 0 ; v2 = 14 m/s
m = masses ; u = initial velocities ; v = final velocities
m1u1 + m2u2 = m1v1 + m2v1
7*9 + 2*0 = 7*v + 2*14
63 + 0 = 7v1 + 28
63 = 7v1 + 28
63 - 28 = 7v1
35 = 7v1
v1 = 35 / 7
v1 = 5 m/s
helppppppppppppppppppppppppp
Answers
answer is 150
pls give branliest
Answer: 72
Step-by-step explanation: A = ½(b 1 +b 2)h
Solve forx: 10 (2x - 4) + 5 = 2r - 8 1 ОА. x =- 19 10 O B. x= =- 1 С O c. x = 1 O D. x = =
Answers
Answer:
Option D
Step-by-step explanation:
Given expression is,
10(2x - 4) + 5 = 2x - 8
By using distributive rule,
20x - 40 + 5 = 2x - 8
20x - 35 = 2x - 8
Now we subtract 2x from both the sides of the equation
20x - 35 - 2x = 2x - 8 - 2x
18x - 35 = -8
By adding 35 on both the sides of the equation
18x - 35 + 35 = - 8 + 35
18x = 27
By diving with 18 from both the sides of the equation
[tex]\frac{18x}{18}=\frac{27}{18}[/tex]
x = [tex]\frac{3}{2}[/tex]
Therefore, Option D will be the correct option.
Write the equation for the line that goes through the point (5, 12) with a slope m = 10
Answers
Point slope form : y-12 =10 x ( x-5)
Terrence drinks water every 2 hours. He drinks about 6 gallons of water per day. How much water does Terrence drink in a week?
Answers
Answer:
42 gallons
Step-by-step explanation:
Answer: 42
Step-by-step explanation:
help me pls im stuck
Answers
Answer:
C.
Step-by-step explanation:
Hi there!
We know that [tex]x^0[/tex] is equal to 1 because any number raised to the zero is always going to be 1.
With that out of the way, we are left with [tex]x^-^3/1[/tex], which is equivalent to [tex]x^-^3[/tex]
Using negative exponent rules,
The expression is flipped and the -3 becomes a positive 3.
It will look like this
[tex]\frac{1}{x^3}[/tex]
Your answer is C.
I hope this helps!
alyssa is ordering t_shirts for all the students in her school.she knows how many students are in the school, and she knows how many shirts come in a box how would she figure out how many boxes to order?
Answers
Answer:
She needs to divide the number of students by the number of shirts that come in each box and then round to the ones place
There are 5 slides, i've provided image for them all i need help with it. if your going to answer write it in order from slide 1-5 so it's easier to understand.
Answers
Answer:
mark as brainleast and fo-ll-ow me
Slide 1.
Part A.
1. Band A: y = 600
2. Band B: y = 1.25x + 350
Part B.
200 students.
Slide 2.
Part A.
Fixed cost = $150
Rate per student served = $6
Part B.
To figure the cost/person, look at the change in cost divided by the change in attendance.
For 100 students, cost = $750.
For 150 students, cost = $1050.
Change in cost = $300
Change in students = 50
Cost per additional student = 300/50 = $6
Assuming the costs are linear, then the price charged for 100 students reflects the cost per student + a 'fixed cost' that applies to the order as a whole.
100 * 6 = $600, so the fixed cost is 750-600 = 150.
We can check this notion by substituting in the other equation.
Does 150*6 + 150 = 1050? Yes.
150*6=900
900+150 = 1050.
Slide 3.
Part A.
She can choose either band, with $9.75 per ticket, if 200 students attend
Part B.
Check the cost using band A and 200 people, including food
600 + 150 + (6*200) =
600 + 150 + 1200 = $1950
Cost per ticket: = 1950/200 = $9.75
Cost using band B, 200 people, including food:
350 + 1.25(200) + 150 + (6*200) =
350 + 250 + 150 + 1200 = $1950
Cost per ticket: 1950/200 = $9.75
This means that Paula can choose either band, and the ticket cost will be the same.
Slide 4.
Part A.
Cost per ticket: $8.50 (of Band A, since it is the cheaper one)
Part B.
Check the cost using band A and 300 people, including food
600 + 150 + (6*300) =
600 + 150 + 1800 = $2250
Cost per ticket: = 2250/300 = $8.50
Cost using band B, 200 people, including food:
350 + 1.25(300) + 150 + (6*300) =
350 + 375 + 150 + 1800 = $2675
Cost per ticket: 2675/300 ≈$8.92
Which means that in this scenario is Band A is less expensive.
-1/2x+3y=-3 in slope intercept form
Answers
Answer:
Step-by-step explanation:
Y = mx + b
-1/2 x + 3y = -3
3y = 1/2 x -3
y = 1/6 x - 1
Where slope m = 1/ 6and y intercept b = -1
Paper towels come in different size packs. One pack states you can get 6 rolls for $7.38. What is the unit rate for one roll of paper towels? Show your work.
PLS HELP ME IM STUCK
Answers
Castor bought 3 spells for $9 how many spells can you buy for $12.00
Answers
Answer:
4
Step-by-step explanation:
divide 9 by 3 the answer is 3 then divide 12 by 3 then the answer is 4
Answer:
4 spells can be bought with $12.00
Step-by-step explanation:
3 times 3 is 9 = 3 spells for nine dollars
3 times 4 is 12 = 4 spells for 12 dollars
Each spell costs $3.00
what is the long division work of the problem of 337 divided by 2.
Answers
Step-by-step explanation:
168 <-- quotient --- 337 2 - 13 12 -- 17 16 -- 1 <-- remainder
Answer:
168.5
Step-by-step explanation:
₁ ₁ ₁
2 ) 3 3 7. 0
1 6 8.5 <--- Quoitient
first part is 2 divide once into 3 with remainder 1
- and this 1 goes in front of the 3 to give 13.
2 into 13 goes 6 times with remainder 1
- then we get 2 into 17 giving 8 remainder 1 and so on....
Gertrude started an experiment with 15 gummy bears. After 6 days, there were 1,523 gummy bears. Write an exponential function that could be used to model the number of gummy bears after x days if the number of gummy bears changes at the same rate. Round to the 4th decimal place (ten thousandth)
y=a*b^x
a=
b=
Answers
9514 1404 393
Answer:
y = 15·2.1599^x
Step-by-step explanation:
We know that the number changed by the ratio 1523/15 = 101.5333... in 6 days, so the daily multiplier is the 6th root of this:
b = 101.5333...^(1/6) = 2.1599 . . . rounded to 4 dp
Of course, the coefficient 'a' in the equation is the initial number, 15.
Your exponential equation is ...
y = 15·2.1599^x
a = 15
b = 2.1599
5-10.
A fish tank that holds 80 gallons of water is 55% full. Homework Help
a. Create a drawing like Louis's in problem 5-4 to represent this situation.
b. How many gallons are in the tank now? How many more gallons are needed to fill the tank?
Answers
Cooper bought 5 pounds of soil to
use in 8 small flower pots. He used
the same amount of soil in cach
flower pot. If Cooper used all of the
soil, how many ounces of soil did he
put in each flower pot?
Answers
Answer:
10 ounces
Step-by-step explanation:
5 pounds equals 80 ounces, so 80 divided by 8 is 10
Simplify the expression: 4(2x - 4)
Answers
Answer: 8x-16
Step-by-step explanation:
Answer: 8x-16
Step-by-step explanation:
Find the sum of 4(m+2)+3(6m−4)
Answers
HELP!!
In a recent survey, 78% people answered that there were at least four televisions in their household. If there were 300 people surveyed, how many people have at least four televisions in their home?
Answers
Answer:
234 people have a least 4 televisions in their home.
Step-by-step explanation:
In order to find 78% of a whole, you just have to multiply the whole by 0.78.
So we get....
300 x 0.78 = 234
Three families bought food at a baseball game. The Castillo family
spent $27.50 on 2 burgers, 3 fries, and 4 drinks. The Peterson family
spend $26.50 on 3 burgers, 2 fries, and 3 drinks. The Barbour family
spent $27 on 2 burgers, 4 fries, and 2 drinks. What system of
equations could be used?
Answers
Answer:
1.50
Step-by-step explanation:
Points F (0,0), G (9,0) and H (9,12) of vertical triangle
What is the distance between f to h
Answers
Answer:
15 is the distance
Step-by-step explanation:
WILL MARK BRAINLIEST
Which expression has a negative value?
−3×3×−3×−3×−3
−3×−3×3
−3×3×−3×−3
−3×−3
Answers
Answer:
the first one
Step-by-step explanation:
Answer:
A. 243
B. 27
C. -81
D. 9
The correct answer is C. -3x3x-3x-3= -81
