A boat is heading towards a lighthouse, whose beacon-light is 134 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
16°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.

Answer:

perimeter: 14+5+6+6+8+10=59

area: 14x5x6x10=4200

perimeter means adding all the sides including the ones that arent labeled, and the area is multiplying all the numbers included.

Answer:

use pemdas(order of the operations)and you'll get the answer 27!!

Step-by-step explanation:

Answer:

5/49

Step-by-step explanation:

decimal form = 0.10

Answer:

5/49

hope it helps! stay safe as always!

Answer:

122

Step-by-step explanation:

since line m and line n are parallel the sum of the angles is equal to 180 degrees

58 + x = 180 subtract 58 from both sides

x = 122

Answer:

34 miles

Step-by-step explanation:

jn

Answer:

answer is ‐10

Step-by-step explanation:

Answer:

No positive real solutions.So the answer is zero.

Step-by-step explanation:

Step-by-step explanation:

in the first object:

force = mass × acceleration = 2 × 14 = 28 N

in the second object :

force = mass × acceleration

28=mass×4

then the mass = 28/4 = 7 kg

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

Answer:

x + 2 [tex]\leq[/tex] 25

Step-by-step explanation:

The given algebraic sentence means is x + 2 ≤ 25

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

ATQ

x + 2 ≤ 25

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Answer:

QR is equal to 5 since 13 is 5 less that 18. So since 13 was already taken, that leaves 5

Answer:

c. $324

Step-by-step explanation:

The solution is,

A) 83/400= 0,2075

B) 100/400=0,25

C) 42/400= 0,105

D) 42/100= 0,42

E) The special training program was effective.

Division can be stated as the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Explanation:

Total population= 400 salespeople

Received a bonus last year= 83 salespeople

Attended a special sales training program= 100 salespeople

Both attended sales training and received a bonus= 42 salespeople

a) You need to calculate the number of salespeople that receive a bonus over total population

83/400= 0,2075 The proportion of salespeople that receive a bonus is 0,2075

b) You need to calculate the number of salespeople that attended a special program over total population

100/400= 0,25 The proportion of salespeople that attended a special program is 0,35

c) 42/400= 0,105  The proportion of salespeople that receive a bonus and attended a special program is  0,105

d) You need to calculate the proportion of people that having attended received a bonus.

42/100= 0,42  The proportion of salespeople that receive a bonus having attended a special program is  0,42

e) The special training program was effective. The proportion of people that receive a bonus over the total population that didn't attend the program (41/300=0,14) is inferior to the proportion of salespeople that attend the program and receive a bonus. Meaning that there are more chances of receiving a bonus taking a training program.

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Complete question:

A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the beginning of last year, and 42 both attended the special sales training program and received a bonus. (Note: the bonus was based totally on sales performance.) a) What proportion of the 400 salespeople received a bonus last year? b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year? c) What proportion of the 400 salespeople both attended the special sales training program and received a bonus? d) What proportion of the salespeople who attended the special sales training program received a bonus? e) Based on your answers to parts a and d, does the special sales training program seem to have been effective? Explain your answer.

Answer: 67°.

Step-by-step explanation:

1) m∠PMR=m∠LMN=3x+19°;

2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;

3) if to solve the equation 3x+19+9x-31=180, then x=16;

4) m∠PMR=3x+19=48+19=67°.

Find x

Linear pairs are supplementary

So

opposite angles are equal

Answer:

3.6 cubic feet

Step-by-step explanation:

The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]

Answer:

LQ = 5

Median = 6

Step-by-step explanation:

[tex]\frac{n+1}{2}[/tex] gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.

Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.

Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.

Answer:

p=36

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

p/18+7-(9)=0

Simplify p/18

(p/18+7)-9=0

7= 7/1= 7*18/18

p+7*18/18=p+126/18

(p+126)/18-9=0

9=9/1=9*18/18

(p+126)-(9*18)/18=p-36/18

p-36/18=0

p-36=0

p=36

Hope this helped :)

Answer:

The unit price is 1.74$

Step-by-step explanation:

12.18 / 7

is 1.74

Answer:

100

Step-by-step explanation:

The total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).

" Amount is defined as the total of all the given quantities as per given conditions."

According to the question,

The amount required to pay for a visa [tex]= \£ 2,400[/tex]

Percentage charges on the visa price as day service[tex]= 8\%[/tex]

Amount as day charge  [tex]= 8\%[/tex] of [tex]2400[/tex]

                                        [tex]= \frac{8}{100} \times 2400\\\\= \£192[/tex]

The total amount required for a visa [tex]= \£ (2400 + 192)[/tex]

                                                             [tex]= \£ 2592[/tex]

Tom has one year to save,

Therefore,

Amount Tom save in one month  [tex]= \frac{2592}{12}[/tex]

                                                        [tex]=\£ 216[/tex]

                                                        ≈[tex]\£ 220[/tex] ( round to nearest [tex]\£ 10[/tex])

Hence, the total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).

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Answer:

The value of B is 7.

B = 7

Answer:

B = 7

Step-by-step explanation:

first 100 + 47 + 10 + 100 = 257

second 200 + 50 = 250

257 - 250 = 7

Answer:

-3) -23

0) -8

3) 7

6) 22

Step-by-step explanation:

Plug in the x value for each function and solve for y

Answer:

-3) -23

0) -8

3) 7

6) 22

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

Since the x- terms are opposites , that is 3x and - 3x , then when the 2 equations are added the x- term will be eliminated.

Answer:

y € R i guess

Step-by-step explanation:

I hope it correct

[tex]\text{Given that,}\\\\f(x) = x^3 -7x^2 +2x -8\\\\\\\text{(x+2) will be a factor of f(x) if } f(-2) = 0 \\\\\\f(-2) = (-2)^3 -7(-2)^2 +2(-2) -8 = -48 \\\\\\\text{Since}~ f(-2) \neq 0, ~ (x +2) \text{is not a factor of f(x).}[/tex]

Answer:

I would say either pic 2 or four.

Step-by-step explanation:

Hopes This Helps

Answer:

I'm going to call the length of the bracelet the number of times you have to add to get back to the first bead. This is the same as the number of beads, except in one case:

The shortest bracelet has length 1 and starts with (0,0). If you add one time, you get back to the first 0. But the bracelet has two beads. (Every bracelet has to have at least two beads to start.)

The next shortest bracelet starts with (0,5), and has length 3:

0 5 5

There is a bracelet of length 4 that starts with (2,6) (the first example on the main page):

2 6 8 4

There is a bracelet of length 12 that starts with (1,3) (the second example on the main page):

1 3 4 7 1 8 9 7 6 3 9 2

There is a bracelet of length 20 that starts with (0,4)

0 4 4 8 2 0 2 2 4 6 0 6 6 2 8 0 8 8 6 4

There is a bracelet of length 60 that starts with (0,1)

(I'll let you have the fun of writing all the beads.)

Step-by-step explanation:

Answer:

$127.50

Step-by-step explanation:

All you have to do is $125 times 1.02 because it is adding to the price it is already.

$125 × 1.02.

Which is $127.50.

Answer:

257 cm

Step-by-step explanation:

hope this helps Please inform me when it hepls

and Please mark me as Brainlist

Answer:

0.4%

Step-by-step explanation:

2 are defective and 27 are good out of 29. Chance of picking 1 defective is 2/29 or .069. Chance of picking good is 27/29 or .931.

2 good and 2 bad is

.931 * .931 * .069 * .069 = .004

There is a 0.4 % chance of 2 bad.

Answer:

12 + 0.40L = 14.75 + 0.25L