Math
Compound probability using a organized list

Answer:

Step-by-step explanation:

in quadrant 1 cos and sec are positive.

cos(θ)=√(1-sin²θ)=√(1-(12/13)²)=√((169-144)/13²)=5/13

secθ=13/5

Answer:

A

Step-by-step explanation:

got it right

The solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2.

A logarithm is an exponent or power to which a base must be raised in order to produce a given number. If aˣ = n, then x is the logarithm of n to the base a, which is expressed mathematically as x = logₐn.

We know that logₐx + logₐy = logₐ(xy)

Here, log₆(x) + log₆(3) = log₆( x+1)

i.e. log₆(3x) = log₆( x+1)

i.e. 3x = x + 1

i.e. 3x - x = 1

i.e. 2x = 1

i.e. x = 1/2

Therefore, the solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2. So, option A is correct.

Learn more about logarithm here -

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Answer:

1+3=90

1=52

3=38

38+63+1=180

1=79

the answer is 79

Answer:

0.05%

Step-by-step explanation:

Answer:

[tex]3\sqrt{3}x[/tex]

Step-by-step explanation:

Expand √27x² in such a way that it is the :-

So ,

[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]

Answer:

4x+6y

Step-by-step explanation:

distribute and add like terms

Answer:

[tex]4x + 6y[/tex]

Step-by-step explanation:

Collect like terms:

[tex]2(2x + 3y)[/tex]

Distribute 2 through the parentheses:

[tex]4x + 6y[/tex]

Therefore, the answer will be 4x + 6y.

Answer:

943

Hope that this helps!

Answer:

No

Step-by-step explanation:

To determine if the point is a solution to either of the inequalities, substitute the variables with the point given. When y<-3.x+4 is substituted with (0,4), the inequality becomes 4<4, which proves that the point is inapplicable to the first inequality. Therefore, you do not need to continue to check its applicability with the second inequality.

Answer:

x2 or x square

Step-by-step explanation:

hope it helps

Answer:

instead of finding x find an ps4

Step-by-step explanation:

like what

A right angled triangle with its side length is given. The sides of the triangle are 12ft , 13ft and 5ft. And we need to find out the value of cot A .

Here :-

We know :-

[tex]\tt\implies cot \theta = base / perpendicular [/tex]

Substitute the respective values :-

[tex]\tt\implies cot \theta = base / perpendicular\\\\\tt\implies\boxed{\red{\tt cot A = 12/5 }}[/tex]

Hence the required answer is 12/5.

Answer:

(6,21)

Step-by-step explanation:

Given that,

y = 2x + 9 .....(1)

y = 4x − 3 .....(2)

From equations (1) and (2),

2x + 9 = 4x − 3

Taking variables both sides and constants to another side.

9+3 = 4x-2x

12 = 2x

x = 6

Put the value of x in equation (1).

y = 2(6) + 9

y = 12 + 9

y = 21

The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).

Step-by-step explanation:

1. -5 not suree

2.50

my anwser could be wrong sooo...

Answer:

Children tickets = $9

Adult tickets= $6

Answer:

Amount Charli paid for the car = $9,450

Step-by-step explanation:

Amount Carter paid for the car = $21,000

Sienna paid 75% of what Charli paid

Amount Sienna paid for the car = 75% of $21,000

= 75/100 * $21,000

= 0.75 * $21,000

= $15,750

Amount Sienna paid for the car = $15,750

Charli paid 60% of what Sienna paid

Amount Charli paid for the car = 60% of $15,750

= 60/100 * 15,750

= 0.60 * 15,750

= $9,450

Amount Charli paid for the car = $9,450

Answer:

I think it's a man's car breaks down while driving to work

Step-by-step explanation:

it should be B

Answer:

I believe it's d !!

Step-by-step explanation:

External Conflict: ... Man-the character is in conflict with another person in the story. Man vs. Society-the character faces conflict due to some type of societal norm that is in conflict with his/her beliefs or actions.

Answer:

180-92= 88 degree

Step-by-step explanation:

180-92= 88 degree

Answer:

Supplementary angles are two angles whose sum is 180°.

92+x= 180

x= 180-92

x= 88

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

subtracting both sides by 3

x + 3 - 3 = 12 - 3

x + 0 = 9

x = 9

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

x (+ 3 - 3) = 12 - 3

x = 9

Answer:

150cm^2

Step-by-step explanation:

Answers:

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

Explanation:

The template for a 30-60-90 triangle is that the short leg x leads to hypotenuse 2x, and longer leg x*sqrt(3). If x = 4, then we get the sides 4, 8, 4*sqrt(3) which are the short leg, hypotenuse, and long leg in that order.

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The template for a 45-45-90 triangle is that we have x as the leg length and x*sqrt(2) as the hypotenuse. If x = 6, then we end up with the sides 6, 6, 6*sqrt(2)

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The triangle with sides 6, 8, 10 is a right triangle because a = 6, b = 8, c = 10 makes a^2+b^2 = c^2 true. I'm using the converse of the pythagorean theorem. We don't have a special right triangle because these sides do not fit the templates mentioned in the previous two sections above.

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The triangle with sides a = 7, b = 8, c = 10 on the other hand will not make a^2+b^2 = c^2 true. Note that a^2+b^2 = 7^2+8^2 = 113 which is not the same as 10^2 = 100. However, a triangle is possible because adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

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

We cannot form a triangle with sides 7, 12, 19 because the sides 7 and 12 add to 7+12 = 19 but that's not longer than the third side 19.

The triangle inequality theorem says that if you want to form a triangle with sides a,b,c then the following three inequalities must all be true

a+b > c

a+c > b

b+c > a

Answer:  Refer to the screenshot below

I've filled in the boxes with the proper answers

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

Explanation for problem 1

In line 1, I used the distributive rule a*(b+c) = a*b+a*c. On the left side the 3(n+2) becomes 3n+6. On the right side, the 9(6-n) becomes 54-9n

On the next line, I added 9n to both sides. The 3n on the left side updates to 3n+9n = 12n.

For the third line, I subtracted 6 from both sides. Then the last line involves dividing both sides by 12 to fully isolate n. To confirm the solution n = 4, plug it back into the original equation. You should get the same thing on both sides after simplifying.

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

Explanation for problem 2

The steps here are similar as problem 1, but this time we're involving fractions. Unfortunately, these steps don't involve clearing out the fractions which is often a handy trick to use.

We use the distributive rule on line 1

For line 2, we subtract 2m/9 from both sides. Think of 2m/3 as 6m/9 to help combine the fractions. The denominators must be the same for you to be able to add or subtract fractions.

For line 3, we subtract 4/3 from both sides. Think of 4/3 as 12/9.

The last step is to multiply both sides by 9/4, which is the reciprocal of 4/9. Your teacher made a typo on the right hand side of the last line. It should read [tex]\frac{4}{9}m[/tex] and not [tex]\frac{2}{9}m[/tex]. Refer to the previous line.

Answer: D

Step-by-step explanation:

11 m

Answer:

D

Step-by-step explanation:

took the test

Answer:

t = 3.46 hours, or 3 hours 28 minutes

Step-by-step explanation:

78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.

Donuts produced as a function of time:   D(t), where t is the number of hours the macine runs.

Set D(t) = 135 dozen = (39 dozen/hr)t.

Solving this equation for t, we get:

t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes

Answer:

10,353m³

Step-by-step explanation:

We can look for the volume of the warehouse since we are not told what to look for

Volume of the warehouse = length * width * height

Given

Length  = 120m

Width = 20 3/10 = 203/20 m

Height = 8 1/2m = 17/2 m

Volume of the warehouse = 120 * 203/20 * 17/2

Volume of the warehouse = 6 * 203 * 17/2

Volume of the warehouse = 3 * 203 * 17

Volume of the warehouse = 10,353 cubic metres

Hence the volume of the warehouse is 10,353m³

Answer:

-0.5 is rounded to the nearest tenth

Step-by-step explanation:

Answer:

it would be -0.5

Step-by-step explanation:

tenth means 1dp the number after it would determine it but there is a zero after the 5 which means that it stays the same.

Answer:

3:42

Step-by-step explanation:

Answer: 30 eggs

Step-by-step explanation:

Given

Mrs. Jones bought 120 eggs

She used two-third for baking cakes i.e.

[tex]\Rightarrow 120\times \dfrac{2}{3}=80\ \text{eggs}[/tex]

Remaining eggs are [tex]120-80=40\ \text{eggs}[/tex]

She used on-fourth of the remaining for baking cookies i.e.

[tex]\Rightarrow 40\times \dfrac{1}{4}=10\ \text{eggs}[/tex]

Eggs left after baking cookies

[tex]\Rightarrow 40-10=30\ \text{eggs}[/tex]

She is left with 30 eggs

Answer: Down

Step-by-step explanation:

down nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Given:

Length of arc AB is 4 units.

The measure of central angle corresponding to arc AB is 30 degrees.

To find:

The circumference of the circle.

Solution:

The formula for arc length is:

[tex]s=2\pi r\dfrac{\theta }{360^\circ}[/tex]

Where, r is the radius and [tex]\theta[/tex] is the central angle.

It is also written as:

[tex]s=C\dfrac{\theta }{360^\circ}[/tex]

Where, C is the circumference of the circle.

Putting [tex]s=4,\theta =30^\circ[/tex] in the above formula, we get

[tex]4=C\dfrac{30^\circ}{360^\circ}[/tex]

[tex]4=\dfrac{1}{12}C[/tex]

Multiply both sides by 12.

[tex]4\times 12=C[/tex]

[tex]48=C[/tex]

The circumference of the circle is 48 units.

Therefore, the correct option is A.

Answer:

David=$8.8

Jo=$13.2

Mary=$22

Step-by-step explanation:

2+3+5=10

44/10=4.4

David=4.4x2=$8.8

Jo=4.4x3=$13.2

Mary=4.4x5=$22

8.8+13.2+22=44