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serg [7]
4 years ago
9

What is the value of x?

Mathematics
2 answers:
KiRa [710]4 years ago
8 0

Answer:

D.

Step-by-step explanation:

65º+79º+xº=180º

x=180º-65º-79º

x=115º-79º

x=36º

D.

Lina20 [59]4 years ago
3 0

Answer:

D  36 degrees

Step-by-step explanation:

You add 65 degrees and 79 degrees together and get 144 degrees

The whole triangle is 180 degrees

So you take 180 - 144

and you get D, 36 degrees

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Given cos = -2/5 a in quadrant III and cos b = 1/4, b in quadrant I find
BigorU [14]

I guess you mean \cos a=-\dfrac25. Since a is in quadrant III, we expect \sin a. Then

\sin a=-\sqrt{1-\cos^2a}=-\dfrac{\sqrt{21}}5

Since b is in quadrant I, we expect \sin b>0, so that

\sin b=\sqrt{1-\cos^2b}=\dfrac{\sqrt{15}}4

Now,

\sin(a+b)=\sin a\cos b+\cos a\sin b=-\dfrac{2\sqrt{15}+\sqrt{21}}{20}

\cos(a+b)=\cos a\cos b-\sin a\sin b=\dfrac{3\sqrt{35}-2}{20}

and

\tan(a+b)=\dfrac{\sin(a+b)}{\cos(a+b)}=-\dfrac{2\sqrt{15}+\sqrt{21}}{3\sqrt{35}-2}

5 0
4 years ago
Write an inequality to represent the product of x and 7 is at least 15
Yuliya22 [10]

Answer:

7x\geq 15

Step-by-step explanation:

This problem lays out pretty clearly what needs to be done.

First, we know that we are writing an inequality.

Then, it tells us that we need 'the product of x and 7'. A product is the result of multiplication, so we can multiply 7 and x together to get 7x.

Next, it tells us that the product (7x) is at least 15. At least means that the product has to greater than or equal to 15. That clue tells us which inequality symbol will be used.  

Put it all together and:

7x\geq 15

Hope this helped!

8 0
3 years ago
What is the common difference in the following arithmetic sequence
tensa zangetsu [6.8K]

Answer: 11

Step-by-step explanation: As n goes up, ^an goes up 11 every time. If it was negative, the number would be going down as n went up.

3 0
3 years ago
Daniel and Saquon are each saving money.
tangare [24]
It would take 5 weeks for their savings accounts to be equal.

Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
Number of weeks it would take for both of them to have the same amount.
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
At 5 weeks they will both have:
50 + 8 * 5 = $90
65 + 5 * 5 = $90
3 0
2 years ago
kali trains for a race by running round a track. each lap is 400 meters. she run 4 kilometers each day. how many lapsaround he t
Levart [38]
1 km = 1000m
so 4 km = 4(1000) = 4000 m

so Kali runs 4000 m per day
4000/400 = 10 laps per day

for 3 days = 3(10) = 30 laps for 3 days
3 0
3 years ago
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