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Nimfa-mama [501]
2 years ago
7

A tree that is 40 feet tall casts a 30-foot shadow. At the same time, another tree casts a 20-foot shadow. How tall is the secon

d tree?
Mathematics
2 answers:
Olegator [25]2 years ago
7 0
So the tree is 40 ft and then the shadow is 30 so then do 40 -30 = 10 ft difference so then for the second tree do 20 + 10 = 30 ft because the 10 ft difference so the answer is 30 ft tall
charle [14.2K]2 years ago
5 0

Answer:

The second tree is 26.67 foot tall.

Step-by-step explanation:

A tree that is 40 feet tall casts a 30-foot shadow.

\texttt{Ratio of original height to shadow height =}\frac{40}{30}\\\\\texttt{Ratio of original height to shadow height =}\frac{4}{3}

Now we need to find original height of a tree whose shadow is 20 foot.

Original height = Ratio of original height to shadow height x Height of shadow

\texttt{Original height = }\frac{4}{3}\times 20=26.67foot

The second tree is 26.67 foot tall.

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Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her total
AnnZ [28]

Answer: $352.48

Step-by-step explanation:

Hi, to answer this question we have to apply the formula:

A = P (1 + r)^t

Where  

A: total balance after invest

P: principal amount invested

r = interest rate (in decimal form)

t = time (years)

Replacing with the values given:

500= P (1+0.06)^6

Solving for P:

500 = P (1.06)^6

500 / ( (1.06)^6)=P

500 / 1.4185 =P

$352.48= P

6 0
3 years ago
Read 2 more answers
Solve the problem,
Keith_Richards [23]

Answer:

24 boxes, 1 chocolate remaining

Step-by-step explanation:

289 chocolates total, each box is 12.

just divide it and whatever is left will be your remainder.

289/12 = 24 boxes, 1 chocolate remaining

sub to gauthmath sub reddit for more help like this !

3 0
3 years ago
The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a
elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

P(x)=-0.5x^2+23x+92 -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

so

PXx)\geq 225 -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

4 0
3 years ago
Answer both questions if you cant see all the answers its fine all u need is the question
neonofarm [45]
The circumference of Leon's trash can is 76.245 inches
The line segment that could be the diameter is line segment FK
4 0
3 years ago
Answer questions 1, 2, 3 and challenge
hjlf
1. find volume
V=LWH
V=25*13*14
V=4550
each covers 1000
how many will cover the whole thing?
we can't put 4 becuase that leaves 550 uncovered
add another


5 is answer (it is too much , but at leas not too little) answer is D




2.
V=LWH
V=6*4*10
V=240

answer is D






3.  count how many are there, don't forget the hidden ones
13 cubes
volume=legnth tiems width times height
cubes so
v=side^3
side=3
3^3=27
13 cubes
13*27=351 in^3


challenge (this is meant to challenge you, not for you to ask people, but I will solve anyway, robbin you of experience)

V=LWH
V=5880
H=30
5880=LW30
divide both sides by 30
196=LW
they have square bases so L=W
196=L^2
sqrt both sides
14=L=W
the side legnth is 14in
4 0
3 years ago
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