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uysha [10]
3 years ago
6

a flag pole that is 8 feet tall casts a shadow that is 6 ft long a nearby tree casts a shadow that is 21 ft long. How tall is th

e tree?
Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

The tree is 28 feet tall.

Step-by-step explanation:

It is given that:

Height of flag pole = 8 feet

Shadow of flag pole = 6 feet

Ratio of height to shadow = 8 : 6

Shadow of nearby tree = 21 feet

Height of nearby tree = x

Ratio of height to shadow = x : 21

8 : 6 :: x : 21

Product of means = Product of extremes

6x = 8*21

6x = 168

Dividing both sides by 6

\frac{6x}{6}=\frac{168}{6}\\x=28

Therefore,

The tree is 28 feet tall.

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Answer:

0.6804

Step-by-step explanation:

Given that Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average.

Since each trial is independent and there are two outcomes, X no of good serves is binomial with n=6 and p =2/3

Required probability

= Prob that atleast four of 6 times good serve

=P(X\geq 4)

=P(x=4,5 or 6)\\=1-F(3)\\=0.6804

Formula used:

P(X=r) =6Cr (\frac{2}{3}^r )(\frac{1}{3}^{6-r}  )

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2 years ago
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What are the possible outcomes?
vesna_86 [32]

Answer:

A= X,B

B= L,G

C= M,W

The total number of combinations is 12

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3 years ago
A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?
navik [9.2K]

Answer:

36

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are  108 elves also

considering that total 144 elves can be  in the theater subtract 144 and 108 so 36 more elves can be admitted

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Maura drives to work, a distance of 30 miles in 40 minutes. she takes the same route to return home. if her average speed on the
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Well to solve this firstly we should calculate her average speed while she was going to work. Which comes out to be 45 miles per hour.

Now if her average speed while going home is half as fast as while coming to work was, the answer would be 22.5 miles per hour. So the average speed for the total journey would be the average for these two values. As the distance was same for both the journeys we can simply do 45 + 22.5 / 2 = 33.75 mph.

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3 years ago
G(x) = x3 - 4 <br> h(x) = x2 + 2<br> Find h(-2) - g(-1)
Lady bird [3.3K]

Answer:

11

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = x³ - 4

h(x) = x² + 2

h(-2) is x = -2

g(-1) is x = -1

<u>Step 2: Find h(-2) - g(-1)</u>

  1. Substitute:                    ((-2)² + 2) - ((-1)³ - 4)
  2. Exponents:                   (4 + 2) - (-1 - 4)
  3. Add/Subtract:               6 - (-5)
  4. Subtract:                       11
3 0
2 years ago
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