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makvit [3.9K]
2 years ago
12

PLEASE HELP!!: For Questions 6 and 7, determine whether each pair of triangles is similar. Justify your answer.

Mathematics
1 answer:
mr_godi [17]2 years ago
7 0

Answer:

6.   Not similar

7,   Are similar

Step-by-step explanation:

In problem 6 one triangle is a SSA situation and the other triangle is SAS, we  cannot say the triangles are similar.

In problem 7, both triangles are a SAS situation, so we need to see if corresponding sides are in proportion.

Is 10/25 = 18/45?

10/25 = .4  and 18/45 = .4

Therefore, the triangles are similar

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I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli
dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation A=A_0e^{rt}. We can find the rate at which it grows by using t=25 minutes and \frac{A_{0}}{A} =2 or double the amount at that time. The first step we always take is to divide A_0 by A.

[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}

2=e^{(25)r}

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r

We know lne=1 so we were able to cancel it out and divide both sides by 25.

We solve with a calculator \frac{ln2}{25} =r\\0.0277=r

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is A=A_0e^{0.0277t} .

We repeat the step above substituting A=5,000,000, A_0=50, and r=0.02777. Then solve for t.

5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t

t=415.63 minutes

6 0
3 years ago
Write a equivalent expression for 12a+60
viva [34]

Answer: 12(a+5)

Step-by-step explanation: factor out 12 from the expression

ANSWER 12(a+5)

8 0
2 years ago
If the dimensions of a square based pyramid are tripled what happens to the volume?
11Alexandr11 [23.1K]
Plug in numbers. if originally, it was V=1/2 * 1 * 1 * 2=1 

<span>tripling the dimensions would be V=1/2 * 3 * 3 * 6=27 </span>

<span>it would be 27 times larger. this could also be found by 3^3, just as doubling would render 2^3

</span>
7 0
3 years ago
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alexdok [17]

Answer:

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Step-by-step explanation:

Total students = 90

<u>Students who like at least one of the fruit:</u>

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<u>Number of students do not like any of the fruits:</u>

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4 0
2 years ago
Please help I need this
ladessa [460]

Answer:

4+2 i

Step-by-step explanation:

i=\sqrt{-1}

4+\sqrt{-4} =4+\sqrt{-1}  * \sqrt{4} =4+i2

6 0
2 years ago
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