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3 years ago

Which of the following would be the criterion for establishing similarity in the two triangles?

Mathematics

1 answer:

Luba_88 [7]3 years ago

5 0

Answer:

<h3>A) Not enough information or not similar.</h3>

Step-by-step explanation:

We are given a triangle with a segment that connects two points of the two sides of given triangle.

There are different triangle similarity theorems are available there as given in options.

Side Side Side (SSS) triangle similarity theorem.

Side Angle Side (SAS) triangle similarity theorem.

Angle Angle (AA) triangle similarity theorem.

But in the shown figure, we are not provided much information about it's sides and angles.

Therefore, correct option is :

<h3>A) Not enough information or not similar.</h3>

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2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA

professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

$A=45e^{-0.0045(t)}$

a) To find the initial amount of this substance

At t=0, we get

$A=45e^{-0.0045(0)}$ $A=45e^0$

We know that e^0=1 ( anything to the power zero is 1)

we get,

$A=45$

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

$\frac{45}{2}=45e^{-0.0045(t)}$

$\frac{1}{2}=e^{-0.0045(t)}$

Taking natural logarithm on both sides we get,

$\ln (\frac{1}{2})=-0.0045(t)^{}$ $(-1)\ln (\frac{1}{2})=0.0045(t)$ $\ln (\frac{1}{2})^{-1}=0.0045(t)$ $\ln (2)=0.0045(t)$ $0.6931=0.0045(t)$ $t=\frac{0.6931}{0.0045}$ $t=154.02$

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

$A=45e^{-0.0045(2500)}$ $A=45e^{-11.25}$ $A=45\times0.000013=0.000585$ $A=0.000585$

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0

7 months ago

Please help me with some Algebra 2!

enot [183]

Answer:

12750

Step-by-step explanation:

The sequence of visitors is

50, 100, 200, 400, .....

This is a geometric sequence

with common ratio r = 2

The sum to n terms is found using

$S_{n}$ = $\frac{a(r^n-1)}{r-1}$ ( a is the first term )

$S_{8}$ = $\frac{50(2^8-1}{2-1}$ = 50 × 255 = 12750

6 0

3 years ago

94 POINTS!!! pls help

svp [43]

Answer:

Hey love! x = 6

Step-by-step explanation:

because 13 x 6 = 78

HOPE THIS HELPS!

7 0

2 years ago

Read 2 more answers

81% passed. What percent did not pass?

Hitman42 [59]

100% - 81% = 19%

19% did not pass.

7 0

2 years ago

COMO SE SACA UNA TABLA DE FRECUENCIA?????=? URGENTE ES PA HOY

xz_007 [3.2K]

Answer:

Para construir una tabla de frecuencias, procedemos de la siguiente manera:

Construye una tabla con tres columnas. La primera columna muestra lo que se organiza en orden ascendente (es decir, las marcas). ...

Repase la lista de marcas. ...

Cuente el número de marcas de conteo para cada marca y escríbalo en la tercera columna.

8 0

2 years ago