Use a half-angle identity to find the exact value of cos 15

9514 1404 393

Answer:

  0.75

Step-by-step explanation:

You know that ...

  P(S or T) = P(S) +P(T) -P(S and T)

When events are mutually exclusive, P(S and T) = 0. Then ...

  P(S or T) = 5/8 + 1/8 = 6/8 = 3/4

  P(S or T) = 0.75

Answer:

true

mark me brainist if it comes out to be true

Answer:

The answer is TRUE.

Step-by-step explanation:

Answer:

5, - 1, - 3, - 5, - 11

Step-by-step explanation:

The equation of the line is y=-4x-11. The y values corresponding to x are 5, - 1, - 3, - 5, - 11

[tex]\\ \large\sf\longmapsto x + 15 = 2x - 40 \\ \\ \large\sf\longmapsto x - 2x = - 40 - 15 \\ \\ \large\sf\longmapsto - x = - 55\\ \large\sf\longmapsto x = 55[/tex]

The value of x is 55 degrees.

A rhombus is a diamond-shaped quadrilateral that has all four sides equal

The properties of a rhombus are:

According to the given question.

We have a rhombus.

Since, we know that the diagonals of the rhombus bisect the angles.

Therefore,

[tex](x+15)^{o} = (2x-40)^{o}[/tex]

Solve, the above expression for x.

[tex]\implies x +15 = 2x -40\\\implies 15+40 = 2x -x \\\implies 55 = x \\0r\ x = 55^{o}[/tex]

Hence, the value of x is 55 degrees.

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Answer:

hope this helps buddy, please mark the brainliest.

Step-by-step explanation:

Answer:

Not sure about the inequality, but maximum ounces is 31 ounces.

Might be.

[tex]7.98 \geqslant .24x + .32[/tex]

Answer:

KI and HE are parallel

So we apply the law of exterior angles ;

3X=X + 180– 2X

3X +X = 180

4X= 180

X= 180/4

X= 45

I hope I helped you^_^

Answer:

7 and above

Step-by-step explanation:

Go and 7 draw a dot and a arrow to the right

Answer:

Step-by-step explanation:

Answer:

By multiplying 88.92 from 21.33 we get 1896.6636.

Answer:

1896.6636

Step-by-step explanation:

Hope this helps

Answer:

Induction produces an electromagnetic field in a coil to transfer energy to a work piece to be heated. When the electrical current passes along a wire, a magnetic field is produced around that wire

Step-by-step explanation:

Answer:

1,032,564 tickets

Step-by-step explanation:

Find how many tickets they sell in total by multiplying the capacity of the stadium by the number of games in the season:

86,047(12)

= 1,032,564

So, if every game sells out, 1,032,564 tickets will be sold.

Answer:

the last option [tex]x^{3}[/tex] + 1 / x

Step-by-step explanation:

first option's x has the power 3

second option's x has the power 1

third option's x has the power 1

but in the last option it has the power -1

polynomials doesn't support negative power

*remember

Answer:

How many Senior tickets sold ?

0

Find how many adult tickets were sold than child tickets ?

5

Step-by-step explanation:

Answer:

:];];]

u know

meeeeeeeeeeeeeeeeeeeeeeeeeeeee

brainlistttt

cutie

k?

Step-by-step explanation:

Answer:  [tex]9\sqrt{3}[/tex]

==========================================================

Explanation:

For any 30-60-90 triangle, the short leg is always half the hypotenuse.

This makes the short leg to be 18/2 = 9 units long.

We then multiply this by [tex]\sqrt{3}[/tex] to get the length of the long leg.

[tex]\text{long leg} = (\text{short leg})*\sqrt{3}\\\text{long leg} =9\sqrt{3}[/tex]

Or you could use the pythagorean theorem to solve [tex]x^2+9^2 = 18^2[/tex] and you should get [tex]x = \sqrt{243} = 9\sqrt{3}[/tex]

Answer:

so 1/3 must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions.

Step-by-step explanation:

let the fraction be x

(1/4 + 1/6)-x =  1/12

or, 10/24 - x = 1/12

or, 5/12-1/12 = x

so, x = 4/12 = 1/3

Answer:

1. No 2. No 3. Yes 4. Yes

Step-by-step explanation:

Compare the value of each digit from the leftmost digit.

Answer:

1.24

Step-by-step explanation:

oahsofhasdf0as0dfadera

Answer:

y = 6x ^2 - 6x + 9

Step-by-step explanation:

hopefully it's visible

:)

9514 1404 393

Answer:

Step-by-step explanation:

"No more than 21" means "less than or equal to 21." The total of flowers Lydia has listed is ...

  8 + 2 + t + 3 + p = 13 +p +t

Lydia wants this less than or equal to 21, so the appropriate inequality is ...

  13 +p +t ≤ 21

__

Subtracting 13 from both sides gives us a relation that helps us better see the possible values of p and t.

  p +t ≤ 8

Then suitable numbers of peonies and tulips will numbers that total 8 or less. Of the choices listed, ones that match that requirement are ...

  2 tulips and 3 peonies

  5 tulips and 3 peonies

Answer:

Choice B.

[tex]4x - 2y = 0[/tex]

Step-by-step explanation:

Has integer coefficients and equal to 0.

Answer:

Step-by-step explanation:

99% =2.58

 xbar / Point Est. 50.67

 µ 50

σ 3.9

n 36

Confidence Interval  

50-> (48.9,52.44) -> Fail to Reject H0  

Test Statistic 1.0308

P-Value 0.1549

Answer: (d)

Step-by-step explanation:

Given

There are six flavors of ice-cream that is chocolate, vanilla, strawberry, birthday cake, rocky road, and butter pecan

First ice-cream can be tasted in 6 different ways

Second can be in 5 ways

similarly, remaining in 4, 3, 2 and 1 ways

Total no of ways are  [tex]6\times5\times 4\times 3\times 2\times 1=720\ \text{ways}[/tex]

Option (d) is correct.

Answer:

E

Step-by-step explanation:

The percentage of the whole week that Adam spends in sleeping is 33%.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

According to the give question.

Adams sleeps for nine hours each night, five nights a week.

⇒ Number of hours he sleep for five nights = 5 × 9 = 45 hours

Also, 11 hours for two nights a week.

So, the total number of hours Adam sleeps in a week = 45 + 11 = 56 hours

And, total number of hours in a week = 24 × 7 = 168

Therefore,

The percentage of the whole week that Adam spends in sleeping

= (total number of hours Adam sleep in a week/Total numbers of hour in a week) × 100

[tex]=\frac{56}{168}[/tex] × 100

= 33.33%

= 33%

Hence, the percentage of the whole week that Adam spends in sleeping is 33%.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Take note of the inequality symbol. It is < (not ≤), so the "equal to" case is not included. That means the line 3x+4y=-16 is not part of the solution set. That boundary line is graphed as a dashed line.

Take note of where the variables are in relation to the inequality symbol. Both are on the "less than" side, so the shading of the graph will be where the values of x and y are less than those on the boundary line. The boundary line has a negative slope, so the values less than those on the boundary are to the left and below the line.

Plot the dashed boundary line 3x +4y = -16, or y = -3/4x -4, and shade the area below and to its left.

Answer:

10

Step-by-step explanation:

Answer:

the third option (a=1, h=0, k=6)

Step-by-step explanation:

if I understand correctly what your teacher wants from you, then you need find a (the factor of x² in the equation) and the vertex (turnaround point) of the parabola represented by such a quadratic equation.

the vertex point coordinates are called (h, k).

the general form of such an equation equation is

y = ax² + bx + c

so, we have a right away : a=1

now we can make this quickly by using common sense, or a bit more complex by going through mathematical formulas.

the fast, practical way is to know that y=x² is the very basic parabola with its vertex at (0, 0).

y = x² + 6 is simply the same parabola just lifted up (y direction) by 6 units, that makes the vertex (0, 6).

in pure theory, though, we need to find the transformation from the general y = ax² + bx + c form to

y = a(x - h)² + k

we see right away that k = f(h) = h² + 6

y = a(x² - 2xh + h²) + k

a=1

y = x² - 2xh + h² + k = x² - 2xh + h² + h² + 6 =

= x² - 2xh + 2h² + 6

comparing with y = x² + 6

we know that

-2×h = 0

as we have no term with just x.

=> h = 0

2h² + 6 = k

2×0² + 6 = 6 = k

Answer:

a) 3.19

b) 3.29

c) 96.81

Step-by-step explanation:

Question a:

Levere's: 10.63s

Ross: 10.98s

10.98 - 10.63 = 0.35s shorter than 10.98s, so:

0.35*100%/10.98 = 3.19% shorter.

Question b:

35s longer than 10.63s, so:

0.35*100%/10.63 = 3.29% longer.

Question c:

3.19% shorter, so 100 - 3.19 = 96.81% of Ross.

Answer:

[tex]x=2\\y=3[/tex]

Step-by-step explanation:

Solve by substitution method

[tex]y=4x-5\\y=3x-3[/tex]

First, solve [tex]y=4x-5[/tex] for [tex]y[/tex]:

Substitute [tex]4x-5[/tex] for [tex]y[/tex] in [tex]y=3x-3[/tex]

[tex]y=3x-3[/tex]

[tex]4x-5=3x-3[/tex]

[tex]4x-3x=5-3[/tex]

[tex]x=2[/tex]

Now that we have the value of x

substitute [tex]2[/tex] for [tex]x[/tex] in [tex]y=4x-5[/tex]

[tex]y=4x-5[/tex]

[tex]y=4(2)-5[/tex]

[tex]y=8-5[/tex]

[tex]y=3[/tex]

∴ The value of [tex]x[/tex] is [tex]2[/tex] and the value of [tex]y[/tex] is [tex]3[/tex]