All categories

2 years ago

Please help no links please

Mathematics

1 answer:

allsm [11]2 years ago

8 0

Answer:

Step-by-step explanation:

The secant- tangent angle MLK is half the difference of the intercepted arcs, that is

$\frac{1}{2}$ (KN - KM) = 70° ( multiply both sides by 2 to clear the fraction )

KN - KM = 140°

KN - 61° = 140° ( add 61° to both sides )

KN = 201° → C

You might be interested in

baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

3 years ago

21x^3 + 6x^2 - 28x - 8 factor this expression with work please?

marusya05 [52]

$21x^3 + 6x^2 - 28x - 8 \\ \\ 3x^2 (7x + 2) - 4(7x + 2) \\ \\ (7x + 2)(3x^2 - 4) \\ \\$

The final result is: (7x + 2)(3x<span>² - 4).</span>

3 0

2 years ago

Read 2 more answers

Is -33.1 a whole number

Oksana_A [137]

Answer:

Step-by-step explanation:

This is because it's part of a whole. It has to be an integer to be whole.

7 0

2 years ago

Read 2 more answers

The graph and table shows the relationship between y, the number of words Jean has typed for her essay and x, the number of minu

Tasya [4]

Answer:

c) 3,000

Step-by-step explanation:

i just took the test and passed with 100%

3 0

1 year ago

Please answer 10 points !!!!!!

Ede4ka [16]

Answer is........... x= 9168

8 0

3 years ago