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Tasya [4]
3 years ago
5

The triangles below are similar.

Mathematics
1 answer:
Kobotan [32]3 years ago
8 0

Answer: 54

Step-by-step explanation:

Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.

Let substitue: 52.5/x= 5/4: ( I  Reduce 15/12 into 5/4).Cross multiply:    210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.

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I am repeating again the solution, although I don't think there was a mistake:

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So 36 ,with a bar over 36 means: 0.3636363636....

To write any recurring decimal in a fraction, you have to multiply & divide at the same, the number with 100 , if you choose 0.36 or with 10,000 if you choose  0.3636 or with 1,000,000 if you choose 0.363636 (note that the number of Zeros equal the number of chosen decimals.

In our example let's take 0.3636 , then we multiply it by 10,000 & divide it by same: (0.3636 x 10,000) = 3636/10,000 =1,818/5,000 = 909/2500 =0.3636
If you opt to render 0.363636 into a fraction, then you have to multiple the latter number & divide it by 1,000,000
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3 years ago
Kong took 15% fewer seconds that Nolan took to complete his multiplication timed test. Kong took 85 seconds.
kondaur [170]

Answer:

Answer: Nolan took 97.75 Seconds

Step-by-step explanation:

85 x .15 = 12.75  

85 + 12.75 = 97.75

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3 years ago
The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 30 and the common rati
Alchen [17]
The sum will be: 

sigma(i = 1 to infinity, 30*(2/5)^i) 

->\lim_{i \to \infty}  \frac{30(1-   \frac{2}{5}^{i} )}{ \frac{3}{5} }

Which is equal to 30/(3/5) = 50


3 0
3 years ago
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The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equationC(t)=100t/t^2+25where t
alisha [4.7K]

Answer:

It will take 5 hours until it reaches its maximum concentration.

Step-by-step explanation:

The maximum concentration will happen in t hours. t is found when

C'(t) = 0

In this problem

C(t) = \frac{100t}{t^{2} + 25}

Applying the quotient derivative formula

C'(t) = \frac{(100t)'(t^{2} + 25) - (t^{2} + 25)'(100t)}{(t^{2} + 25)^{2}}

C'(t) = \frac{100t^{2} + 2500 - 200t^{2}}{(t^{2} + 25)^{2}}

C'(t) = \frac{-100t^{2} + 2500}{(t^{2} + 25)^{2}}

A fraction is equal to zero when the numerator is 0. So

-100t^{2} + 2500 = 0

100t^{2} = 2500

t^{2} = 25

t = \pm \sqrt{25}

t = \pm 5

We use only positive value.

It will take 5 hours until it reaches its maximum concentration.

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3 years ago
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