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2 years ago

Help! i dont understand what the question is asking

Mathematics

2 answers:

Natasha2012 [34]2 years ago

8 0

the diameter of circle = 2 the radius of the circle

$< = > 11\frac{4}{5} = 2(z+3.6)\\ < = > \frac{59}{5}=2z + \frac{36}{5}\\ < = > 2z = \frac{23}{5}\\ < = > z=\frac{23}{10}=2\frac{3}{10}$

ANSWER: z = 2 3/10

Ok done. Thank to me :>

hjlf2 years ago

5 0

Answer:

5.9

Step-by-step explanation:

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andrew-mc [135]

Step-by-step explanation:

The sum of all angles in a triangle is always 180.

So we can set up an equation

3/2x+1/2x+x= 180

3/2+1/2x+2/2x=180

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4 0

3 years ago

Use the quadratic formula to solve the equation <br> X^2+9X+20=0

lions [1.4K]

Answer:

x=-4

x=-5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

suppose you invest 400 at an annual interest rate of 7.6% compounded continuously. How much will you have in the account after 1

dlinn [17]

A=pe^rt
A=400×e^(0.076×1.5)
A=448.30

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to 3⁴ . 3-⁹

grigory [225]

Answer:

3^-5 or 1/3^5(b)

Step-by-step explanation:

3⁴•3^-9

When bases are same powers are to be added

So the above expression becomes

3^4+(-9)

3^4-9

3^-5

5 0

4 years ago

Read 2 more answers

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

4 years ago