An observer in the lighthouse is 70 feet above the water. He sites two boats in the water directly in front of him. The angle of depression to the nearest boat is 35°. The angle of depression to the other boat is 18°. What is the distance between the two boats? Round to the nearest foot

Answer:

first dice-4/6

second dice-5/6

Step-by-step explanation:

if you have six possible outcomes for the first dice and you want it to roll 1 thru 4 then you have a four out of six chance and you have a 5 out of six chance for the second dice

Answer:

71

Step-by-step explanation:

I hope this helps u! :D

Answer:

71

Step-by-step explanation:

4 to the third = 4 x 4 x 4 = 64

64 + 7 = 71

Answer:

Domain and Range are both all real numbers.

Step-by-step explanation:

Answer:

I got 226.08

Step-by-step explanation:

I don't know if your trying to find the nearest whole number

Answer:

4^4

144x^9

3^24 x^20

Step-by-step explanation:

4^7/ 4^3     keep the base number and subtract the exponent

(12x^4) (2x^5)   Multiply the numbers then add your exponents

(3^6 x^5)^4      multiply the exponents inside by exponent 4

Answer:

9/16 x 6/1 = 54/16

simplify = 27/8

Step-by-step explanation:

Answer:

I need the dull question

Step-by-step explanation:

Answer:

T1=12 a=12 a=T1

d=9

your Arithmetic equation is Tn=a+(n-1)d

Tn=a+(n-1)d

SUBSTITUTE a and d in your equation

Tn=12+(n-1)(9)

Tn=12+9n-9

Tn=3+9n or Tn=9n+3

Answer:

I'm not 100% sure, but I think the answer is 10 units squared.

Step-by-step explanation:

Find the area of each triangle, by multiplying each side, and dividing the answer in half. Add both of the triangles together, ending up as 6. Now we just find the area of the square. 2x2=4, add that to both of the triangles, and we're done. (2x2) ÷ 2 = 2 | (2x4) ÷ 2 = 4 | 2x2 = 4 | 4+4+2=10

Answer:

area=10 units^2

Step-by-step explanation:

[tex]a=\frac{(2+2+4)+(2)}{2} *2\\ =\frac{8+2}{2} *2\\ =\frac{10}{2} *2\\ =5*2\\ =10[/tex]

a=10 units^2

Answer:

3/5

Step-by-step explanation:

just took the test

Answer:

3/5

Step-by-step explanation:

hope it helps :D

The volume of the jewelry box is 60 1/2 cubic inches.

The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:

Area = (5 1/2) × (5 1/2) = 30 1/4 square inches

The height of the box is 2 inches.

Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:

Volume = Area x Height = (30 1/4) × 2 = 60 1/2 cubic inches

Thus, the volume of the jewelry box is 60 1/2 cubic inches.

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Answer:

The mean of the ages of the Fry children is 8.

Step-by-step explanation:

To find the mean, you add up all of the numbers given, and then divide the sum by how many numbers you are given.

5+10+12+15+8 = 40      40/5 = 8

Answer:

Step-by-step explanation:

                                                           4x + 1

The quotient   (f/g)(x) is    (f/g)(x) = ---------------

                                                          x^2 - 5

Note that x^2 means "square of x," whereas "x2" is ambiguous.

Answer:

Here we want to solve the equation:

[tex]11^3\sqrt{x-12} = 66[/tex]

First, we can divide both sides by 11^3 to get:

[tex](11^3\sqrt{x-12})/11^3 = 66/11^3[/tex]

[tex]\sqrt{x - 2} = 66/11^3[/tex]

Now remember that:

(√x)^2 = √(x^2) = x

then if we apply this to our equation we get:

[tex](\sqrt{x - 2})^2 = (66/11^3)^2[/tex]

now we need to solve:

[tex]x - 2 = (66/11^3)^2\\x = (66/11^3)^2 + 2 = 2.002[/tex]

Then x = 2.002

Answer:

3 times 6 is 9

3 times 250 million is 750000000

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

9

Step-by-step explanation:

constant of proportionality in this problem is the cost per pant

Answer:

∠FGI=40°

Step-by-step explanation:

CE║FH ⇒ ∠CDG=∠FGI=40°

Answer:

first option

They will make the same amount in week 25

Step-by-step explanation:

Answer:

3. [tex]5\sqrt{3} \\[/tex] m

4. 5 m

Step-by-step explanation:

Just use Pythagorean theorem

Answer:

1313.19 in

Step-by-step explanation:

have a nice dayyy :)

Answer: gggggg
g the sum of values are 1

Step-by-step explanation: 8-7=1

The factorized form of the expression is A = ( x - 7 ) ( x + 8 ) and sum of the values in the blanks should be 1

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = x² + x - 56

On factorizing the equation , we get

A = x² + 8x - 7x - 56

8x - 7x = 1

So , A = ( x - 7 ) ( x + 8 )

Hence , the expression is A = ( x - 7 ) ( x + 8 )

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Answer:

At least 98 is needed in the 5th game

Step-by-step explanation:

The missing parameters are:

[tex]Game\ 1 = 95[/tex]

[tex]Game\ 2 = 91[/tex]

[tex]Game\ 3 = 77[/tex]

[tex]Game\ 4 =89[/tex]

[tex]Mean = 90[/tex] at least

Required

The score in game 5 to make you advance

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

So, we have:

[tex]Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}[/tex]

[tex]Mean = \frac{352 + Game\ 5}{5}[/tex]

The mean must be at least 90.

So, we have:

[tex]\frac{352 + Game\ 5}{5} \ge 90[/tex]

Multiply both sides by 5

[tex]5 * \frac{352 + Game\ 5}{5} \ge 90 * 5[/tex]

[tex]352 + Game\ 5 \ge 450[/tex]

Make Game 5 the subject

[tex]Game\ 5 \ge450 - 352[/tex]

[tex]Game\ 5 \ge 98[/tex]

At least 98 is needed in the 5th game