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3 years ago

10

If a=22.3 and B=47°18’ find c (picture provided)

1 answer:

igor_vitrenko [27]3 years ago

8 0

Answer:

d. 32.9

Step-by-step explanation:

To find c, we'll use the Law of Sines that says:

$\frac{a}{sin(A)} = \frac{c}{sin(C)}$

And we'll isolate a to get:

$c = \frac{sin(C) * a}{sin(A)}$

We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:

A = 180 - 90 - 47.3 = 42.7

(converted 47°18' to 47.3)

Then we will plug-in the information we already have

$c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88$

So, let's round it to 32.9 to match the answer number D.

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2 years ago

What are the potential solutions of In(x2 - 25) = 0?

Paha777 [63]

Answer:

$x=\pm\sqrt{26}$

Step-by-step explanation:

$ln(x^2-25)=0$

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3 years ago

X/2-1/5=x/3+1/4<br>solve this equation

Alekssandra [29.7K]

Answer:

$x=\frac{27}{10}$

Step-by-step explanation:

$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$

$\frac{x}{2}-\frac{1}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{4}-\frac{x}{3}$

$-\frac{1}{5}+\frac{x}{6}=\frac{1}{4}$

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3 0

3 years ago

Read 2 more answers

Jasmin, Quinn, and Maddy are rock climbing. Jasmin is 42 ½ feet below Quinn. Maddy is 67 ¾ feet above Jasmin. What is Maddy's po

ladessa [460]

Answer:

$25\frac{1}{4}$ feet

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Step-by-step explanation:

Given

$Maddy = 67\frac{3}{4}$ above Jasmin

$Jasmin = 42\frac{1}{2}$ below Quinn

Required

Determine Maddy's position relative to Quinn's

From the given parameter, one can easily deduce that Quinn is in between Maddy and Jasmin (See attachment)

Using the attachment as a point of reference;

$z = 67\frac{3}{4}$

$x = 42\frac{1}{2}$

The relationship between x, y and z is

$z = y + x$

Make y the subject of formula

$y = z - x$

Substitute the values of z and x

$y = 67\frac{3}{4} - 42\frac{1}{2}$

Convert to improper fractions

$y = \frac{271}{4} - \frac{85}{2}$

Take LCM

$y = \frac{271 - 170}{4}$

$y = \frac{101}{4}$

$y = 25\frac{1}{4}$

<em>Hence; Maddy's position relative to Quinn's is </em> $25\frac{1}{4}$ <em> feet</em>

8 0

3 years ago

:(:(:(:(:(:(:(:(:(:(:(:(::(

frosja888 [35]

Answer:

12

Step-by-step explanation:

Let's simplify each term.

$(\frac{1}{4})^{2} = 0.0625$

$4^{3} =64$

$(4-1) = 3$

Now we multiply:

$0.0625*64*3 = 12$

Hope this helps!

3 0

2 years ago

Read 2 more answers