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Serjik [45]
3 years ago
13

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Mathematics
1 answer:
dusya [7]3 years ago
3 0

Answer:

3/8

Step-by-step explanation:

choices:  6,7,8,9  total: 4

odd numbers: 7,9   total :2

P(odd number) = number of odds/ total

                          =2/4 = 1/2

Then we spin again

choices:  6,7,8,9  total: 4

number greater than 6: 7,8,9   total :3

P(odd number) = number greater than 6/ total

                          =3/4

P(odd, > 6) = P(odd, >6) = 1/2 *3/4 = 3/8

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3 0
3 years ago
Complete this item.
Anika [276]

Answer:

Given: An Angle in the figure is right angle. Its measure = 90°

So,

∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

So, ∠1 and ∠2 are

Right angles because measure of both angles are 90°.

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Step-by-step explanation:

5 0
3 years ago
If
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
Find the measure of an exterior angle of a regular decagon
In-s [12.5K]

Answer:

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Step-by-step explanation:

An exterior angle of a regular decagon has a measure of 36 degrees. We know this because the total measure of all the angles is 360 and a decagon has 10 sides, so each angle is 360/10 which is 36

7 0
4 years ago
The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Misha Larkins [42]
Two consecutive negative integers are n and n+1.  We are told that the product of these two integers is 600 so:

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n(n+25)-24(n+25)=0

(n-24)(n+25)=0, since we are told that n is negative...

n=-25

(...-25(-24)=600 so -25 is the value of the lesser integer)
8 0
4 years ago
Read 2 more answers
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