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2 years ago

What is the perimeter of △ABC to the nearest whole number?

Mathematics

1 answer:

cricket20 [7]2 years ago

4 0

Answer: B

Perimeter= 92.52

x=28.09

y=39.43

Step-by-step explanation:

sin39/25=sin44/x

x=28.09

sin97/y=sin39/25

y=39.43

39.43+28.09+25= 92.52

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In similar figures, the ratio between corresponding sides are the same.

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Simplify the two to see that they are equal.
The top and bottom of the left fraction are divisible by 5.
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$\frac{5}7=\frac{5}7$

Of course, the dimensions of that third picture would have to be this fraction.
Let's test these answers.

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3 years ago

Write an exponential function to describe the given sequence of numbers.

andriy [413]

Answer:

a(n) = 9·6^(n-1)

Step-by-step explanation:

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Your sequence has first term 9 and common ratio 54/9 = 6, so the function describing it is ...

a(n) = 9·6^(n-1)

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2 years ago

If the price of a purse went from $45 to $54, what was the percent of the change?

NARA [144]

I think the answer is 17%

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3 years ago

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2 years ago

15 points!!! GEOMETRY help please!!<br> Questions attached!

dolphi86 [110]

3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

$x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o$

$Answer:\ \boxed{47^o}$

4.
Look at the picture.

Use Pythagorean theorem:

$x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8$

$Used:\ (a+b)^2=a^2+2ab+b^2$

$Answer:\ \boxed{4.8\ units}$

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}$

We have: $OP:\ y=-\dfrac{3}{2}x+b$

Now, we must find the slope of the line perpendicular to the line OP.
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$k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1$

therefore

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So. We have the answer! :)

$Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}$

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2 years ago