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mihalych1998 [28]
2 years ago
14

Roger the park ranger was standing in a look out tower that was 200 ft tall. Looks down, sees a fire. Angle of depression is 7 d

egrees. How far is fire from base of tower?
Mathematics
1 answer:
Ainat [17]2 years ago
8 0

Answer:

approx. 24.6 ft

Step-by-step explanation:

x=the distance of the fire from the base of the tower

200ft=the height of the tower

7 degrees=the angle of depression

Using these values you can draw a diagram that highlights that you need to use trig. to work out the answer.

Using Tan:

Tan 7=x/200 ft

multiply both sides by 200 ft

200*tan 7=24.55691218

approx. 24.6 ft

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nataly862011 [7]
25.00/ 10= 2.50
 \\ 2.50*1.5= 3.75 \\ 25.00+3.75= 28.75
As you've got 15%, the best thing to do is to find 10%, then multiply it by 1.5. Once you've found the tip, you add this onto the cost of the meal.
Therefore, the total cost of $25 meal with a 15% tip is $28.75
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8 0
3 years ago
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Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou
Korvikt [17]

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

6 0
3 years ago
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Lostsunrise [7]

answer.

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Step-by-step explanation:

we multiply the ten by sevety five and the answer is 750

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Answer: 3/16 of the bag

Step-by-step explanation: 3/4 divided by 4 is the same as 3/4 * 1/4 which is 3/16

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Answer:

Table F shows the proportional relationship.

All the x factors are being multiplied by 2.

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Step-by-step explanation:

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