From the top of a lighthouse 280 feet tall, to keep her spot a ship in distress at an angle of depression of 18°. How far is the boat from shore(The base of the lighthouse) round to the nearest foot

Answer:

-17/20

Step-by-step explanation:

7/12 + x = -4/15

Subtract 7/12 from both sides

x = -4/15 - 7/12

Use 60 as common denominator

x = -16/60 - 35/60

x = -51/60

Reduce

x = -17/20

Answer:

36

Step-by-step explanation:

Least Common Multiple of 9 and 12

Factor each into prime factor

9 = 3  * 3

12 = 2 * 2 * 3

LCM is the greatest number of different prime factors from each

LCM = 3 * 3 * 2 * 2

LCM = 36

Answer:

36 hotdogs

Step-by-step explanation:

36 ÷ 9 = 4

36 ÷ 12 = 3

Hope this helps!

-kiniwih426

Answer:

multiply by 2

Swings to track

20in = 40 yards

Track to bb court

8 in = 16 yards

how much further is the track from the swings

than from the bb court

40 - 16 = 24 yards

Answer:180 u

Step-by-step explanation:

Answer:

a^2+b^2=c^2 A and b need to add upp to c^2

Step-by-step explanation:

3^2+4^2=5^2

9+16=25

25=25

8^2+15^2=17^2

64+225=289

289=289

Answer:

$120

Step-by-step explanation:

as long as the interest is not being compounded, use the simple interest formula of:

Interest = Principal x Interest Rate x Time (in years)

I = 1000(.06)(2)

I = 120

Answer:

30

Step-by-step explanation:

10/100 = x/300

10x300=3000

3000/100 = 30

Answer:

Answer is as follows

Step-by-step explanation:

The probability distribution is a statistical function that describes all the possible values and likelihood’s that a random variable can take within a given range.

Answer:

Region I is n(A)

There's 21 elements there.

Region II is the intersection or the region shared by A and B. Denoted by (AnB)

From the data given again.

There are 13 elements in Region II

Region III

Thats part B of the venn diagram

Denoted by n(B)

There's 24 elements in this region.

Region IV

This is the intersection of A and C or the part of the diagram shared by A and C

Denoted by (AnC)

There's 11 elements in this section.

Region VI

This is region shared by B and C

or (BnC)

There's 12 elements in this section.

Region VII

Thats the C part of the Venn diagram

Denoted as n(C)

There's 21 elements here

Region VIII

This part is Empty.

There's no Elements outside the Diagram

There's 0 elements here.

Hope this helps.

Have a great day!

Answer:

a=4, b=-3

Step-by-step explanation:

If it is vertical, then the y coefficient must be equal to zero, which means b = -3. When y is 0, a*3=2*3+6, which means a=4.

Answer:

a=4

b=-3

Step-by-step explanation:

ax+by=2x-3y+6 is vertical and passes through (3,0) which means the equation should be equivalent to x=3.

If we want the y's to cancel we need -3y on lefy since we have it on right so b=-3.

So now the equation is ax=2x+6

If ax=2x+6 and x=3, by substitution property we have a(3)=2(3)+6.

Let's solve for a.

3a=6+6.

3a=12

a=12/3

a=4.

a=4

b=-3

Answer:

Step-by-step explanation:

[tex]sin(2\theta)=2sin\theta~cos\theta\\\\cos(2\theta)=cos^2\theta-sin^2\theta\\\\cos\theta=\frac{24}{25}\\\\sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\we ~will~ use~ the ~minus~ sign~because~sin\theta~is~negative~in~IV~cuadrant\\sin\theta=-\sqrt{1-{(\frac{24}{25})}^2}=-\frac{7}{25}[/tex]

Now we cal calculate the quantities requested

[tex]sin(2\theta)=2sin\theta cos\theta=2(-\frac{7}{25})\frac{24}{25}=-\frac{336}{625}\\\\[/tex]

[tex]cos(2\theta)=cos^2\theta-sin^2\theta=(\frac{24}{25})^2-(-\frac{7}{25})^2=\frac{527}{625}[/tex]

[tex]tan(2\theta)=\frac{sin(2\theta)}{cos(2\theta)}=\frac{-\frac{336}{625}}{\frac{527}{625}}=-\frac{336}{527}[/tex]

Step-by-step explanation:

→ P = 2L + 2W

→ P = 2(L + W)

→ P ÷ 2 = L + W

→ (P ÷ 2) - W = L

We can use this formula to to calculate the length.

Answer:  12.5

Step-by-step explanation:   Well 50 diviedby 4 = 12.5

Answer:

x = 60

Step-by-step explanation:

The sum of the angles in a triangle is 180

40 + x+20 + x = 180

Combine like terms

2x+60 =180

Subtract 60 from each side

2x+60-60 =180-60

2x =120

Divide by 2

2x/2 =120/2

x = 60

Step-by-step explanation:

option 2 is the answer....

Answer: there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Step-by-step explanation:

Here,  X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits.

Possible number of outcomes = 10 x 10 x 10 x 10 x 10

= 100,000

Possible outcomes          Associated X values

12345                                        5

04555                                        4

00001                                            1

Hence, there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Answer:

n= 2x-6y

Step-by-step explanation:

So we might look at this and have an immediate panic attack, but if there is one thing we might look to to help us, it would be logarithms. Logarithms have many wonderful properties that will help us solve this equation. Let's get started:

1.  This is the starting equation. [tex](2^{\frac{1}{2} } )^{n} =\frac{2^x}{8^y}[/tex]

2. Let's use the power to power rule on the left and multiply 1/2 by n:

a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]

3. Next, lets take the log of both sides and use the properties of logarithms:

a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]

b. [tex]log(2^{\frac{1}{2}n }) =log(\frac{2^x}{8^y})[/tex]

c. One property we are allowed to use is bringing down the exponent on the left, and another property we can use is when you have the log of a fraction, that is the same thing as the log(numerator)-log(denominator)

d. [tex]\frac{1}{2}n *log(2) =log(2^x)-log(8^y)[/tex]

e. After we do this, we can use the same property of bringing down the exponent on the right side:

f. [tex]\frac{1}{2}n *log(2) =x*log(2)-y*log(8)[/tex]

g. After this, because log(2) and 1/2 are both numbers and are multiplied by n, we can divide them from both sides, and simplify:

h. [tex]\frac{1}{2}n =\frac{x*log(2)-y*log(8)}{log(2)}[/tex]

i. [tex]2(\frac{1}{2})n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]

j. [tex]n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]

k. After this, we must simplify the fraction because log(2)/log(2)=1, and log(8)/log(2)=3, these are both because 2^1=2 and 2^3=8 respectively:

l. [tex]n =2(\frac{x*log(2)}{log(2)}-\frac{y*log(8)}{log(2)} )[/tex]

m. Lastly, let's cancel and distribute:

n. [tex]n =2(x-3y)[/tex]

o. [tex]n=2x-6y[/tex]

Answer:

Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd

C=3.14*18

C=56.52

now we have to multiple this by the height of two

113.04

now we have to find the area of the bottom to do this we do A=πR^2

A=3.14*81

A=254.34

multiple this by two for the two sides we get

508.68

now we add this to 113.04 we get

621.72

since I used 3.14 instead of more digits of pie we can round this up so the answer is C.

Your Welcome

BIFFY OUT!!!

Answer:

x = 18

Step-by-step explanation:

The sum of interior angles in a triangle = 180 degrees

The given is a right triangle which means one of the angle is = 90

so the sum of 3x + 2x = 90

5x = 90 divide both sides by 5

x = 18 to find the measure of angles replace x with 18

Answer:

(x2+1)(x+1)(x−1)

Step-by-step explanation:

Thats the answer

Answer: 2*3^2 = 18   3*5^2 = 75      75 + 18 = 93

Answer:

Please post the actual question

Step-by-step explanation:

Thanks

Uniform would most likely be characteristics of the histogram obtain.

A histogram is a rough representation of the distribution of numerical data. The term was first coined by Karl Pearson.

The histogram is the width of the area covered by the x-axis bars. These are approximate values ​​because the histograms show the bin values ​​instead of the original data values.

If a histogram is bell-shaped, it can be modestly described by its center and width. The center is the location of its axis of symmetry. The spread is the distance between the center and one of its inflection points.

To learn more about histogram, refer;

https://brainly.com/question/16819077

#SPJ2

hope it helps you ♡♡

Answer:

1 is false

2 is true

Step-by-step explanation:

The solution is the coordinate where the two lines intersect

For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations

For the second image the lines intersect at (1,-2) therefore the statement is true