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IRINA_888 [86]
3 years ago
12

What’s the answer, pls help me

Mathematics
2 answers:
PolarNik [594]3 years ago
8 0

Answer:

lower left

Step-by-step explanation:

v+3<=6.5

v<=3.5

-18 is less than 3.5

Arturiano [62]3 years ago
5 0

Step-by-step explanation:

It can't be the first one because v=-18 and were saying -v and to negatives make a positive so our equation is

18+3 ≤-6.5 which is incorrect

The one below the first one is incorrect

It's correct since our equation is

-18+3\leq 6.5 which is correct

The top right one is correct because our equation is

18+3\leq 6.5 which is incorrect

The one below that is correct because our equation is

-18+3\geq 6.5 which is incorrect

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Express the complex number in trigonometric form.<br><br> -6 + 6\sqrt(3) i
horrorfan [7]

Answer:

<h2>12(cos120°+isin120°)</h2>

Step-by-step explanation:

The rectangular form of a complex number is expressed as z = x+iy

where the modulus |r| = \sqrt{x^{2}+y^{2} and the argument \theta = tan^{-1}\frac{y}{x}

In polar form, x = rcos\theta \ and\ y = rsin\theta

z = rcos\theta+i(rsin\theta)\\z = r(cos\theta+isin\theta)

Given the complex number, z = -6+6\sqrt{3} i. To express in trigonometric form, we need to get the modulus and argument of the complex number.

r = \sqrt{(-6)^{2}+(6\sqrt{3} )^{2}}\\r = \sqrt{36+(36*3)} \\r = \sqrt{144}\\ r = 12

For the argument;

\theta = tan^{-1} \frac{6\sqrt{3} }{-6} \\\theta = tan^{-1}-\sqrt{3}  \\\theta = -60^{0}

Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,

\theta =180-60\\\theta = 120^{0}

z = 12(cos120°+isin120°)

This gives the required expression.

4 0
3 years ago
Find the value of x. Round to the nearest tenth
alina1380 [7]

Answer:

x=10.8

Step-by-step explanation:

the image is the working out. hope this helps.

4 0
3 years ago
Angle ABD and angle DBC are linear pairs, and angle ABD and angle EDC are vertical angles. If the measure of angle ABD=5(2x+1),
Ugo [173]
∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2

∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
  ∠ DBC = 3x+6  = 3*13+6 = 45

∠ ABD  and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2

The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs </span>




8 0
3 years ago
Read 2 more answers
Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirts from the e
ollegr [7]
Initial cash on hand : $200.00
Ticket cost : $87.96
T-shirt cost per piece: $30.00

The first thing Staci needs to do is to deduct the cost of the ticket from her money.

$200  - 87.96 = $112.04

Stacy has the extra amount of 112.04 to purchase t-shirts. Since, each t-shirt costs $30. To know the number of shirts she can buy, she must divide the difference by 30.

$112.04 / $30 = 3.73

Based from the quotient, Stacy can buy 3 t-shirts.

$30 * 3 = $90 total cost of the tshirts.

$112.04 - 90 = $22.04

After buying the ticket and 3 tshirts, Staci has an excess of $22.04 from her $200.



5 0
3 years ago
I am really stuck for how to solve x with algebra it is so confusing does anyone have any tips
MAXImum [283]
<span>Example: x − 2 = 4</span>

When we put 6 in place of x we get:

6 − 2 = 4

which is true

So x = 6 is a solution.

8 0
3 years ago
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