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steposvetlana [31]
2 years ago
6

Question on similar triangles attatched

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
6 0

Answer:

<u>h = 24 cm</u>

Step-by-step explanation:

The triangles are similar.

Their dimensions are proportional.

Finding scale factor :

  • DC/AE
  • 10/20
  • 1/2

Finding h :

  • h + h/2 = 36
  • 3h/2 = 36
  • 3h = 72
  • <u>h = 24 cm</u>
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Kevin started his science test at 2{:}34\text { p.M.}2:34 p.M.2, colon, 34, start text, space, p, point, m, point, end text and
kirza4 [7]

Answer:

26 Minutes.

Step-by-step explanation:

Kevin started his science test at 2{:}34\text { p.M.}

He finished the test 75 minutes later.

Now: 75 Minutes = 1 hr 15 Minutes

2:34 + 75 Minutes

=2:34+1:15

=3:49 P.M.

Kevin finished his test by 3:49 P.M.

Kevin has football practice at 4:15 P.M.

Therefore, the time Kevin had between the end of the test and the beginning of football practice

=4:15 P.M.-3:49 P.M.

=26 Minutes.

4 0
3 years ago
EB = 33, BD = 5x - 10 and ED = 9x + 3. Find x.
serious [3.7K]
X=11
The triangle equals to 180
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3 0
3 years ago
40x-25 y = 180<br> Solve for x and y
Lostsunrise [7]

Answer:

x=

5 /8y+9/2

Step-by-step explanation:

6 0
3 years ago
The average weight of a newborn panda is 0.2, or 2/10 pound. Between what two integers is the weight of a newborn panda?​
sweet-ann [11.9K]

Answer:

\frac{2}{10} lies between 0 and 1.

Step-by-step explanation:

We must have in mind that given average weight of a newborn panda is a non-integer rational number, such that lies between two integer rational number. In other words, this number must satisfy the following condition:

n < \frac{a}{b} < n +1, n, a, b \in \mathbb{N}_{O}

\mathbb{N}_{O} = \mathbb{N}\,\cup\,{\{0\}}

Which is now developed mathematically to deduce a useful expression to find integers:

1) n < \frac{a}{b} < n +1 Given

2) n \cdot 1 < \frac{a}{b} < n\cdot 1 + 1 Modulative property

3) n \cdot (b\cdot b^{-1}) < a\cdot b^{-1} < n \cdot (b\cdot b^{-1}) + b\cdot b^{-1} Existence of Multiplicative inverse/Definition of division.

4) (n\cdot b)\cdot b^{-1} < a\cdot b^{-1}< [(n+1)\cdot b] \cdot b^{-1} Commutative, Associative and Distributive properties.

5) n\cdot b < a < (n+1)\cdot b Compatibility with Multiplication/Existence of Multiplicative Inverse/Modulative Property/Result.

If we know that a = 2 and b = 10, the following inequation is formed:

10\cdot n < 2 < 10\cdot (n+1)

It is quite evident to conclude that \frac{2}{10} lies between 0 and 1.

6 0
3 years ago
Calculate the number of acres required to produce 1,000 gallons of oil in one year from microalgae and soybeans. Which one (micr
Inessa05 [86]

Answer:

microalgae required less space.

Step-by-step explanation:

Amount of oil to be produced = 1,000 gallons

Now,

We know

10,000 gallons of oil is extracted from the miroalgae per acre per year

and,

From soyabeans the oil extracted = 50 gallons per acre per year

therefore,

To produce 1,000 gallons number of acres required by microalgae

= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from microalgae]

= 1,000 ÷ 10,000

= 0.1 acres

similarly

To produce 1,000 gallons number of acres required by soyabeans

= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from soyabeans]

= 1,000 ÷ 50

= 20 acres

hence,

microalgae required less space.

7 0
3 years ago
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