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2 years ago

Multiply. Type your answer in the box. Do not use any spaces. (–9) x (+2) =

Mathematics

1 answer:

vampirchik [111]2 years ago

3 0

-18 because 9 times 2 is 18 but because you're multiplying a negative with a positive it equals -18

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Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

if $sin(\theta)=sin(\alpha)$

then, $\theta=n\pi+(-1)^n\alpha$ (where $n$ is an integer)

This can be rewritten in degrees as:

$\theta=n(180^{\circ})+(-1)^n\alpha$ .............(Equation 1)

Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

3 0

2 years ago

Read 2 more answers

Dakota and Christine went shopping. Dakota bought two scarves and one hat for $13 Christine bought one scarves and two hats for

White raven [17]

One scarf=s
One hat=h

2s+h=13
s+2h=14

h=13-2s
(plug that into the other equation)

s+2(13-2s)=14
s+26-4s=14
26-3s=14
-3s=-12
s=4

One hat=$5
One scarf=$4
5+4=9
Price of one hat AND one scarf is $9

5 0

2 years ago

How many solutions does the following equation have? <br>-2z+10+7z=16z+7

BARSIC [14]

Make all a and constant number in different side
10-7=16z-7z+2z
3=11z
z=3/11

7 0

3 years ago

Read 2 more answers

Please help me on the first question

tino4ka555 [31]

Answer:

x=5

Step-by-step explanation:

If you add the like terms, 180 would equal 35x + 5. If you subtract 5 on each side, you would get 35x = 175. If you divide each ide by 35 to isolate x, x would be 5.

6 0

3 years ago

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you decided to take a three day road trip and rented a car. it costs $117 per day. this price includes 200 miles. if you drive o

Luden [163]

Since the car costs $117 a day and you are going on a three day road trip, then you would do 117 x 3 = 351.

Subtract 351 from the total cost 373 - 351 = 22

To find out how many additional miles you drove, 22/0.22 = 100

So you drove 100 additional miles.

8 0

3 years ago