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2 years ago

Are the triangles shown below similar? Explain. If the triangles are similar, write the similarity statement.

Mathematics

1 answer:

Anton [14]2 years ago

4 0

Answer:

Two triangles are similar if they have: all their angles equal; corresponding sides are in the same ratio; But we don't need to know all three sides and all three angles ...two or three out of the six is usually enough. There are three ways to find if two triangles are similar: AA, SAS and SSS: AA

Step-by-step explanation:

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Karla makes paper airplanes. Today, it takes her 32 min to make 16 paper airplanes.

Pavel [41]

Answer:

48/b

Step-by-step explanation:

32÷16=2 so it takes two minutes per airplane. if she makes airplanes for 96 minutes at the same pace (2 min per airplane) then you need to divide 96 by 2 which gives you 48!

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3 years ago

Increase the number 120 by 70%

Karo-lina-s [1.5K]

Multiply 120 by .7 then take the product and add it to 120.

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3 years ago

The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo

liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

$A=P(2)^\frac{t}{24}$

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

$800=500(2)^\frac{t}{24}$

On simplification we get

$\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}$

Taking log on both sides we get

$\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}$

using $\log\frac{m}{n}=\log m-\log n$

And $\log a^m=m\log a$

$\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2$

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

$\Rightarrow 0.903-0.698=\frac{t}{24}0.301$

$\Rightarrow 0.205=\frac{t}{24}0.301$

$\Rightarrow \frac{0.205}{0.301}\cdot 24=t$

$\Rightarrow t=16.34$

8 0

3 years ago

Read 2 more answers

If the altitude of an equilateral triangle is 9 what is the perimeter

Volgvan

The angles in an equilateral triangle are 60 degrees.

sin 60 = 9 / h where h is hypotenuse ( = side of the triangle)

h = 9 / sin 60 = 10.392

Perimeter = 3 * h = 31.18 to nearest hundredth

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3 years ago

Read 2 more answers

7over 8 times 4over 9 without multiplying

posledela

11 over 13 I think is the answer

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3 years ago