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mel-nik [20]
3 years ago
5

Ava and Kendra want to estimate the height of a tree. On a sunny day, Ava measures Kendra's shadow as 3 meters long, and Kendra

measures the tree's shadow as 15 meters long. Kendra is 1.5 meters tall. How tall is the tree?
A) 7.5 meters

B) 22.5 meters

C) 30 meters

D) 45 meters
Mathematics
1 answer:
wolverine [178]3 years ago
3 0

Answer:

7.5 metres

Step-by-step explanation:

height : shadow

1.5 : 3

X : 15

X/15 = 1.5/3

X = 15/2

X = 7.5

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pishuonlain [190]

Answer:

D

Step-by-step explanation:

Matrices are equal when they are of the same order and their corresponding entries are equal.

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7 0
3 years ago
Please help!!!
baherus [9]

Answer:

\huge  \colorbox{red}{  \rm (3x - 7)(x + 1)}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • factoring
  • PEMDAS
<h3>tips and formulas:</h3>
  • quadratic expression:ax²+bx+c

factoring quadratic:

  1. Find two numbers that multiply to give ac, and add to give b
  2. rewrite the middle with those numbers
  3. factor out common terms
  4. group
<h3>let's solve:</h3>

a is 3 and b is -7

\quad ac=3\times -7

therefore

\quad ac=-21

now we need to find two numbers that give -21

to do so we need to find the factors of 21

which are

\quad 1,3,7

likewise,

\quad -1,-3,-7

in this case we can take any two numbers from negative and positive factors that give us -21 and -4

3 and -7 are the two numbers that multiply to give -21 (3×-7=-21) and add to give -4. (3+(-7)=-4)

now let's factor:

  1. \sf rewrite \:  - 4x \: as \: 3x - 7x :  \\  \rm  {3 x}^{2} + 3x - 7x - 7
  2. \sf factor \: out \: 3x :  \\  \rm 3x(x + 1) - 7x - 7
  3. \sf factor \: out \:  - 7 :  \\  \rm 3x(x + 1) - 7(x + 1)
  4. \sf \quad group :  \\ \quad  \rm (3x - 7)(x + 1)

\text{And we are done!}

6 0
3 years ago
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3 ½ x 2/5 *
ki77a [65]

Answer:

Step-by-step explanation:

3\frac{1}{2}=\frac{(3*2)+1}{2}=\frac{7}{2}\\\\\\3\frac{1}{2}*\frac{2}{5}=\frac{7}{2}*\frac{2}{5}=\frac{14}{10}

4 0
3 years ago
A car travels at 48 mph for 2 hours and 40 minutes.<br> How far has it traveled?
Basile [38]

Answer:

128 miles

Step-by-step explanation:

brainiest pls

6 0
2 years ago
A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo
avanturin [10]

Answer:

0 < x ≤ 12 and 0 < y ≤ 36

Step-by-step explanation:

Here,  x represents the number of female gazelles and y represents  the number of male gazelles.

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∵ The number of rooms must be more than or equal to the total female gazelles ,

12 ≥ x

Also, number of animals can not be negative,

And, it must be greater than 0.

⇒ 0 < x ≤ 12,

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∵ Number of males gazelles = 3 × number of female gazelles

⇒ y = 3x

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Hence, the constraints to represent a thriving population of gazelles at the zoo are,

0 < x ≤ 12,

0 < y ≤ 36

7 0
3 years ago
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