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3 years ago

I need help fast plss

Mathematics

1 answer:

Marysya12 [62]3 years ago

3 0

Answer:

a = 1√6

b = -2

Step-by-step explanation:

Hello,

To solve this trigonometric problem, we need to convert this values into fractions

a).

Sin45° = 1/√2

cos30° = √3/2

Sin60° = √3/2

Sin45° / (cos30° + sin60°) = [(1/√2) ÷ (√3/2 + √3/2)]

(1/√2) ÷ (√3/2 + √3/2)

Add √3/2 + √3/2

1/√2 ÷ 2√3/2

1/√2 × 2/2√3

2/2√(2×3)

2/2√6

1/√6

Cos 180° = -1

Sin150° = ½

Tan135° = -1

2cos180° - 2sin150° - tan135°

(2 × -1) - (2×½) - (-1)

-2 - 1 + 1 = -2

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Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t

shtirl [24]

Answer:

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability $\frac{1}{2}$ and looses with probability $\frac{1}{2}.$ Let $P(W_R)$ be probability that Roses win and $P(L_R)$ be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

$P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}$

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is done as shown below,

$\frac{1}{16} \times 100\%=6.25\%.$

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.

3 0

3 years ago

Please help me on this problem

Anna71 [15]

Answer:

The pairs of integer having two real solution for $ax^{2} -6x+c = 0$ are

$a = -4, c = 5$
$a = 1, c = 6$
$a = 2, c = 3$
$a = 3, c = 3$

Step-by-step explanation:

Given

$ax^{2} -6x+c = 0$

Now we will solve the equation by putting all the 6 pairs so we get the following

$-3x^{2} -6x-5 = 0$ for $a = -3 , c=-5$

$-4x^{2} -6x+5 = 0$ for $a = -4 , c=5$

$1x^{2} -6x+6 = 0$ for $a = 1 , c=6$

$2x^{2} -6x+3 = 0$ for $a = 2 , c=3$

$3x^{2} -6x+3 = 0$ for $a = 3 , c=3$

$5x^{2} -6x+4 = 0$ for $a = 5 , c=4$

The above all are Quadratic equations inn general form $ax^{2} +bx+c=0$

where we have a,b and c constant values

So for a real Solution we must have

$Disciminant , b^{2} -4\timesa\timesc \geq 0$

for $a = -3 , c=-5$ we have

$Discriminant =-24$ which is less than 0 ∴ not a real solution.

for $a = -4 , c=5$ we have

$Discriminant = 116$ which is greater than 0 ∴ a real solution.

for $a = 1 , c=6$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 2 , c=3$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 3 , c=3$ we have

$Discriminant =0$ which is equal to 0 ∴ a real solution.

for $a = 5 , c=4$ we have

$Discriminant =-44$ which is less than 0 ∴ not a real solution.

7 0

3 years ago

HELP PLEASE 18 POINTS

Mrrafil [7]

Answer:

75000 centigrams

Step-by-step explanation:

5 0

3 years ago

Please can you help it says £300

Oksi-84 [34.3K]

This can be done algebraically:

300*x=330 Where x is the multiplier
Therefore x=330/300=1.1

To find a percentage of a number you multiply by the percentage divided by 100.
So 330 is 110% of 300, which is an increase of 10%.

7 0

2 years ago

Y+6=-6(x+3)<br> rewrite the equation in Ax+By=C

kow [346]

Answer:

y=-6x-24

Step-by-step explanation:

just expand

y+6=-6x-18

then move the six from the left to the right

y=-6x-24

6 0

3 years ago