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2 years ago

12

Solve the equation if 0 degrees<=x<=360 degrees. tanx=sqrt 3

1 answer:

storchak [24]2 years ago

4 0

Answer:

Step-by-step explanation:

hello :

tanx = √3 0°≤x≤360°

x = 60°

x=240°

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ABCD is a parallelogram and line CD = line DA. determine whether the parallelogram is a rhombus. if so by which property?

tekilochka [14]

Since it tells you it's a parallelogram you know that opposite sides are parallel.
The other piece of information we are given is a pair of consecutive congruent sides. If these sides are congruent the other sides must also be congruent.
Letter B is the answer

7 0

3 years ago

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Y=x^2+5×+2 <br>y=×-1<br><br>pls

docker41 [41]

Answer:

$x=-1 \ or \ x=-3$

Step-by-step explanation:

$y = x^2 + 5x +2\\y = x-1\\\\$

Equating both equations equal to each other:

$x^2 + 5x+2 = x-1\\x^2+5x+2 -x +1 =0\\x^2 + 4x +3 = 0$

Breaking the middle term:

$x^2 + 4x +3 =0\\x^2 +3x + x +3 =0 \\x(x+3) +1 (x+3) = 0\\(x+1)(x+3)=0\\x+1 =0 \ or \ x+3 =0\\x=-1 \ or \ x=-3$

5 0

2 years ago

The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

<em>Now we can plug this into a of the 2nd equation:</em>

<em> $ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$ </em>

<em />

<em>Let's solve for a:</em>

<em> $a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$ </em>

<em />

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

<u>Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:</u>

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

3 years ago

Find the value of x in the equation below. 2.7+x=11.7

forsale [732]

Answer:

the answer is 9

Step-by-step explanation:

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2 years ago

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Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php

Vladimir [108]

Answer:

Reyna Puti sold = 20 bottles

Step-by-step explanation:

Silver duck = Php 10 per bottle

Reyna Puti = Php 15 per bottle

Silver duck sold = 30 bottles

Reyna Puti sold = x bottles

Total sales = Php 600.00

Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold

600 = 10 * 30 + 15 * x

600 = 300 + 15x

600 - 300 = 15x

300 = 15x

x = 300/15

x = 20 bottles

Reyna Puti sold = 20 bottles

3 0

2 years ago