All categories

3 years ago

PLEASE HELP

Mathematics

1 answer:

cricket20 [7]3 years ago

4 0

You can use the cosine rule for this - you might have to change some of the letters around for it to make sense though. Hope this helps!

You might be interested in

Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

Separate the solutions

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

Separate the real and imaginary parts

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

2 years ago

Given the geometric sequence where a1 = 3 and r = √2 find a9

Zigmanuir [339]

Answer:

$a_9=48$

Step-by-step explanation:

we are given

sequence is geometric

so, we can use nth term formula

$a_n=a_1(r)^{n-1}$

we have

$a_1=3$

$r=\sqrt{2}$

we have to find a9

so, we can plug n=9

we get

$a_9=3(\sqrt{2})^{9-1}$

$a_9=2^4\cdot \:3$

$a_9=48$

8 0

3 years ago

What's the area of the composite figure below ?

JulsSmile [24]

Answer:

31.13

Step-by-step explanation:

If you look carefully, you will find a semicircle and a triangle.

The total area is =

$\frac{\pi r^{2}}{2} + \frac{1}{2} \times base \times height\\$

r = 4 - 0 = 4
base = |-4-0 | = 4
height = 14 - 9 = 5

So if we put the values:

$\frac{\pi \times 4^{2}}{2} + \frac{1}{2} \times 4 \times 3\\= 31.13$

3 0

3 years ago

PLEASEEEE HELP!!! Which equation should you solve to find x?

ziro4ka [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

3x + 2 = 14 what number makes this true? A. 1 B. 2 C. 4 D. 6

Ksenya-84 [330]

Answer:

Step-by-step explanation:

3*4+2=14

12+2=14

14=14

5 0

3 years ago

Read 2 more answers