A box of chocolates contains 18 chocolate squares. Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 are white chocolat If Christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square?

Answer:

80/100=0.8

Step-by-step explanation:

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Points A, B and the lighthouse are related by angles of elevation.

From the complete question (see attachment), we have:

[tex]\mathbf{\angle A = 164 - 90}[/tex]

[tex]\mathbf{\angle A = 74}[/tex]

[tex]\mathbf{\angle B = 270 - 218}[/tex]

[tex]\mathbf{\angle B = 52}[/tex]

[tex]\mathbf{\angle L = 180 - 74 - 52}[/tex]

[tex]\mathbf{\angle L = 54}[/tex]

(a) The distance between the lighthouse and A

This is calculated using the following sine ratio

[tex]\mathbf{\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}}[/tex]

So, we have:

[tex]\mathbf{\frac{AL}{sin B} = \frac{100}{sin L}}[/tex]

This gives

[tex]\mathbf{\frac{AL}{sin 52} = \frac{100}{sin 54}}[/tex]

Make AL the subject

[tex]\mathbf{AL = \frac{100}{sin 54} \times sin 52}[/tex]

[tex]\mathbf{AL = 97.4}[/tex]

The distance of the lighthouse from A is 97.4 m

(b) The height of the lighthouse

Considering triangle AHL, we have:

[tex]\mathbf{\angle H = 90 + 27 = 117}[/tex]

[tex]\mathbf{\angle A = 74 - 27 = 47}[/tex]

[tex]\mathbf{AL = 97.4}[/tex]

The height is then calculated using the following sine ratio

[tex]\mathbf{\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}}[/tex]

So, we have:

[tex]\mathbf{\frac{AL}{sin H} = \frac{HL}{sin A}}[/tex]

Make HL the subject

[tex]\mathbf{HL = \frac{AL \times sin A}{sin H}}[/tex]

This gives

[tex]\mathbf{HL = \frac{97.4 \times sin 47}{sin 117}}[/tex]

[tex]\mathbf{HL = 79.9}}[/tex]

Hence, the height of the lighthouse is 79.9 m

Read more about elevation and depressions at:

https://brainly.com/question/21137209

x = 100

why?

because,

(76 + 124) ÷ 2 = 200 ÷ 2

= 100

your welcome :)

give me the brainliest please thank you

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In the number line attached in my attachment,

The red line represents point :

The blue line represents point :

I hope it helps ~

Answer:

A = $6,464.97

Step-by-step explanation:

Given the principal amount of $5,400, and an interest rate of 3.6% compounded continuously for t = 5 years:

Substitute the given values into the Continuous Compounding Formula:

[tex]A = Pe^{r*t}[/tex]

where:

P = principal = $5,400

e ≈ 2.7183 (irrational number)

r = interest rate = 3.6% or 0.036

t = time in years = 5

[tex]A = Pe^{r*t}[/tex]

[tex]A = 5400e^{(0.036*5)}[/tex]

[tex]A = 5400e^{0.18}[/tex]

A = $6,464.97

Therefore, the amount after compounding continuously for 5 years is $6,464.97.

Answer:

51/60

Step-by-step explanation:

First, I'll convert 5 1/10 into an improper fraction to make it easier to work with. I get 51/10. Then, I multiply the two fractions like so:

51/10 * 1/6 = 51/60

You multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom) separately.

So the answer is 51/60.

Answer:

DEON is awesome at swimming

Step-by-step explanation:

good job deon

Answer:

C

Step-by-step explanation:

when x=8

and when x= -12

x = 0 and x=2

Step-by-step explanation:

[tex] {x}^{3} - {2x}^{2} = 0[/tex]

[tex] {x}^{2} (x - 2) = 0[/tex]

[tex] {x}^{2} = 0 \\ x = 0[/tex]

[tex]x - 2 = 0 \\ x = 2[/tex]

Please rate BRAINLIEST

Answer:

It is true. This is the graph.

Answer:

y = 7 is a horizontal line with slope 0

Any parallel line will also have slope 0

Step-by-step explanation:

Answer:

y=12t

Step-by-step explanation:

Answer:

I am a little bit more about it. the only one who has a great time to time, and I am a very good at the same time, and I will be a good person to person. I am a little while, but it will not have a

Step-by-step explanation:

great day for me to do it, but I think 2 the. follow the instructions for a couple of days. the the the the the other side of things to say, but I think I am going through my head. it will not be able to get the most of the most part, and

Answer: x=120 degrees

Step-by-step explanation: Since this triangle is equilateral, each of its angles equals 60 degrees. The line that x is on is equal to 180 degrees, so subtracting 60 from 180 will give you 120 degrees for x.

Answer:

x=180°-60°=120°, bc In an equilateral triangle, the angles are equal and equal to 60°

Step-by-step explanation:

Answer:

88 I think and if not that then 98 but I'm petty sure it's 88

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Answer: $225

Step-by-step explanation:

Each Notebook costs 45 dollars, this can be found by taking the cost of 2 (90$) and dividing it by 2

Now just take the cost per notebook (45) and multiply it by the amount wanted (5) and your total should come out to $225

- Gage Millar, Algebra 2 Tutor

Answer:

$225 = 5 note books.

45 = 1 note book

Step-by-step explanation:

90/2 = $45 EACH

Unitary method means find 1 part first.

Therefore,

1 part = 45

45 x 5 = 225

$225 = 5 note books.

No, it should be written as

[tex]y = Ce^{-\cos x}[/tex]

Provided that y ≠ 0, both solutions

[tex]y = e^{C-\cos(x)}[/tex]

and

[tex]y = Ce^{-\cos(x)}[/tex]

are correct. The other solution you provided,

[tex]y = C - e^{\cos(x)}[/tex]

is not.

The only difference between the "valid" solutions lies in the particular value of the arbitrary constant C.

Suppose y(0) = Y ≠ 0 is given as an initial condition. Then in the first solution,

[tex]Y = e^{C - \cos(0)} \implies \ln|Y| = C - 1 \implies C = \ln|Y| + 1[/tex]

In the second solution,

[tex]Y = C e^{-\cos(0)} \implies Y = Ce^{-1} \implies C = eY[/tex]

But both solutions are the same, since

[tex]y = e^{\ln|Y| + 1 - \cos(x)} = e^{\ln|Y|} e^1 e^{-\cos(x)} = eY e^{-\cos(x)}[/tex]

1.1     Pull out like factors :

  -2x + 2  =   -2 • (x - 1)

2.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

2.2      Solve  :    x-1 = 0

Add  1  to both sides of the equation :

                     x = 1

x = 1

Answer:

[tex]3x + 7 \leqslant 5x - 9 \\ 5x - 3x \leqslant 7 + 9 \\ 2x \leqslant 16 \\ x \leqslant \frac{16}{2} \\ \boxed{x \leqslant 8}[/tex]

Answer:

-2 3/5, -9/4, 1.2, 7/4

Step-by-step explanation:

First, unmix the mixed numbers.

-9/4 = -2 1/4.

Which is greater?

1/4 vs. 3/5

Answer: 3/5 So...

-2 3/5 would be the least.

Then there would be -2 1/4

Then, it would be 1.2 because 1.2 is smaller than 7/4.

Therefore, this pattern would be the correct answer...

From Least to greatest=

-2 3/5, -9/4, 1.2, 7/4

-kiniwih426

Answer:

Step-by-step explanation:The problem is very hard to read.  When using exponents, please add the "^" in front.  For example, is 132 actually 132, or is it 13^2?  The right triangle is not shown, so we really don't know which is the hypotenuse. Also be carefull with spacing.  Making some assumptions, here is how the answer might look:

Both have the correct formula:  a^2 + b^2 = c^2, assuming c is the hypotenuse.

If c is the hypotenuse, then the expression should be:

7^2 + b^2 = 13^2, or

49 + b^2 = 169

I like Sheridan's answer.  So let's continue:

49 + b^2 = 169

b^2 = 169-49

b^2 = 120

b = 10.954 . . .

Yep, I'm on Sheridan's side.  [That is, unless 72 is 72 and not 7^2, etc.]

The nearest whole number is 20.

Answer:

19

Step-by-step explanation:

if the number was 19.5 or later up to 20  then the answer would have been 20

but your number was 19.432 which is less then 19.5 so the your answer is 19.

Answer:

Step-by-step explanation:

To make sure that you are adding 2 odd numbers, the first one is 2x - 1 and 2x + 1

Their sum is 216

Equation

2x - 1 + 2x + 1 = 216

Solution

2x - 1 + 2x + 1 = 216                   Combine like terms on the left

4x = 216                                     Divide by 4

4x/4 = 216/4                               Combine

x = 54

Answer

2x - 1 = 2*54 - 1 = 108 - 1 = 107

2x + 1 = 2*54 + 1 = 108+1 = 109

The two consecutive odd numbers are 107 and 109