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MakcuM [25]
3 years ago
9

a person is standing on a cliff 120 ft high looking out to the ocean there is a boat out on the ocean 300 ft from the base of th

e cliff if the person looks down to see the boat what is her angle of depression to the nearest tenth
Mathematics
1 answer:
uranmaximum [27]3 years ago
3 0

Answer:

21.8°

Step-by-step explanation:

Please see the attached picture for the full solution.

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You have $10 to go bowling with your friends. You need to rent shoes for $4. Each game (g) costs $3. Write and solve an equation
dexar [7]

Answer:

  • The equation is: x = (y - $4) / g

Where x is the number of games you can play;

y is the amount you have

and g is the cost of each game

  • You can play only 2 games

Step-by-step explanation:

From the question, you have $10 to go bowling and you need to rent shoes for $4. Hence, after renting the shoes, you will have $10 - $4 left, that is you will have $6 left. To determine the number of games you can play, that will be the amount you have left after renting shoes divided by the cost of each game.

Let the number of games you can play be x games

and the amount you have be y

and the cost of each game be g

Hence,

x = (y - $4) / g

From the question,

y = $10

and g = $3

∴ x = ($10 - $4)/ $3

x = $6 / $3

x = 2

Hence, you can play only 2 games

6 0
3 years ago
Triangle EFG is an isosceles triangle with EG=EF. What is the approximate length of EF, and what is the approximate perimeter of
sineoko [7]

Answer:

B. The approximate length of EF is 4.47 units, and the approximate perimeter of triangle EFG is 12.94 units.

Step-by-step explanation:

First step is to determine the length of EF, since that will give us 2 sides of the triangle (since EG = EF).

From the diagram, we can easily make a rectangle triangle by dropping a vertical line from vertex E, let's name Z the meeting point of that line with the segment GF.  Then we have a rectangle triangle EZF with a height of 4 and a base of 2, of which EF is the hypotenuse. So...

EF² = 4² + 2² = 16 + 4 = 20

EF = √20 = 4.47

Now that we have EF, we also have EG:

EF = 4.47

EG = 4.47

GF = 4 (visible on the graph)

Perimeter = 4.47 + 4.47 + 4 = 12.94 units.

7 0
3 years ago
Read 2 more answers
Solve the system 8y-5z=23 3y-2z=6<br><br> 100 POINTS
Hatshy [7]

Answer:

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

6 0
3 years ago
Read 2 more answers
Mya and ERIC WORK IN A BAKERY . MYA HAS 3 TIMEA AS MUCH FLOUR AS ERIC .MYA HAS 15.81LB OF FLOUR .USE THE EQUATION 3F = 15.81 TO
Pavel [41]

Answer:

5.27 lb

Step-by-step explanation:

Given that,

Mya has 3 times as much floor as Eric. Mya has 15.81 lb of floor. The relation is given by :

Let Eric has F floor.

3F = 15.81 ...(1)

We need to find how much flour Eric has.

Dividing both sides by 15.81.

F = 15.81/3

F = 5.27 lb

Hence, Eric has 5.27 lb of flour.

4 0
3 years ago
25x-5 but the expression as a product
Sever21 [200]

Answer:5(5x-1)

Step-by-step explanation: for a product the equation above

25x-5

Since 5 is divisible by 25

25/5=5

5/5=1

5(5x-1)

3 0
3 years ago
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