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Mathematics

1 answer:

sveta [45]3 years ago

8 0

Answer:

$\large\boxed{x$

Step-by-step explanation:

$-5x+2>37\qquad\text{subtract 2 from both sides}\\\\-5x+2-2>37-2\\\\-5x>35\qquad\text{change the signs}\\\\5x$

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How many students in the Venn diagram are not left handed ?

Bingel [31]

Answer:

Is left handed A or B?

Step-by-step explanation:

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4 years ago

The triangles are similar.

timurjin [86]

Answer:

Step-by-step explanation:

You can do it two different ways.

1st. Find the scale factor by dividing - 75/25=3 or 72/24=3

This means the scale factor is three

Then multiply the remaining side (7) by the scale factor (3) to get: 21

2nd. Use the Pythagorean Theorem - 75²-72²=x²

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√441=x

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4 years ago

Determine the sum of the first 9 terms in the geometric series where r= -0.25 and a1= 256.

Damm [24]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=-0.25\\ a_1=256\\ n=9 \end{cases}$

$\bf S_9=256\left(\cfrac{1-(-0.25)^9}{1-(-0.25)} \right)\implies S_9=256\left( \cfrac{1+0.25^9}{1+0.25} \right) \\\\\\ S_9=256\left( \cfrac{52429}{65536}\right)\implies S_9=\cfrac{52429}{256}\implies S_9=204.80078125$