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valentina_108 [34]
3 years ago
6

Find the 7th term in the sequence

Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:

-32

Step-by-step explanation:

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Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
3 years ago
36" = _____°<br><br> 0.01<br> 0.10<br> 0.50<br> 0.60
Tresset [83]

Answer:

.01

Step-by-step explanation:

There are 3600'' in 1°. 36"/3600"= .01°

6 0
3 years ago
A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?
vaieri [72.5K]

Answer:

50 liters

Step-by-step explanation:

If x is the volume of 20% acid, then:

x (0.20) + 20 (0.45) = (x + 20) (0.30)

0.2x + 9 = 0.3x + 6

3 = 0.1x

x = 30

30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.

6 0
3 years ago
John is younger than miraji for 15yrs after 4yrs the sum of their age will be 41yrs find the age of miraji at present
Margaret [11]
(x+4) + ((x-15)+4)= 41
2x-7= 41
2x= 48
x= 24
6 0
4 years ago
Help pleeeeeeeeeease ?
cupoosta [38]
The answer is choice D.
Cause it can't be calculate.
5 0
3 years ago
Read 2 more answers
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