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irga5000 [103]
3 years ago
7

Joe is 1.6m tall. His shadow is 2m long when he stands 3m from the base of a floodlight.height1.6 m2m3mWhat is the height of the

floodlight?2.4 m 2.6 m 4.0 m 4.2 m
Mathematics
1 answer:
alexdok [17]3 years ago
6 0
We are given the height of Joe which is 1.6 meters, the length of his shadow is 2 meters when he stands 3 meters from the base of the floodlight. 

First, we have to illustrate the problem. Then we can observe two right triangles formed, one is using Joe and the length of the shadow, the other is the floodlight and the sum of the distance from the base plus the length of the shadow. To determine the height of the floodlight, use ratio and proportion:

1.6 / 2 = x / (2 +3)

where x is the height of the flood light

solve for x, x = 4. Therefore, the height of the floodlight is 4 meters.
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What is the value of x? Please answer details are below
nydimaria [60]

Answer:

54

Step-by-step explanation:

Angles in a triangle add to 180° and we can see a right angle so

x = 180 - ( 90 + 36 )

x = 180 - 126

x = 54

4 0
3 years ago
You make a dessert with lemon gelatin and lime gelatin. What percent of the dessert is lime-flavored? Explain
pentagon [3]

Answer:

i struggle with this to sry and hey

Step-by-step explanation:

8 0
2 years ago
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When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickel
Georgia [21]
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25

The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73

Now you have a system of equations.

n + p = 25
0.05n + 0.01p = 0.73

Solve the first equation for n:
n = 25 - p

Now substitute into the second equation.

0.05(25 - p) + 0.01p = 0.73

1.25 - 0.05p + 0.01p = 0.73

-0.04p = -0.52

p = 13

There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.

n + 13 = 25
n = 12

There are 13 pennies and 12 nickels.

Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
5 0
3 years ago
NEED HELP QUICK NO LINKS PLEASE!
Juli2301 [7.4K]

Answer:

3. 4x^2y

Step-by-step explanation:

The GCF of 36 and 14 is 4.

The GCF of x^2y and x^2y^2 is x^2y

Multiply the two GCF and you get 4x^2y

6 0
3 years ago
Read 2 more answers
Use the information frompart a to write an equation representing the number of colories burned each minute while bowling. Let m
Fofino [41]

Answer:

To find the number of calories burned:

Find the Metabolic Equivalent of Task (MET) value of the task.

Calculate the number of calories burned per minute. (MET x body weight in kg x 3.5) / 200.

Multiply the calories burned per minute by the number of minutes of activity.

Now, as per the question, weight is 125 pounds (lb), we will convert the weight in kilogram (kg) which is 1 lb = 0.453 kg, it means 125 lb = 56.7

Now we have to find the MET,

A metabolic equivalent (MET) value is a measurement of the energy cost of a specific physical activity for a specific period of time.

For example. A MET of 1 would be roughly equivalent to a person's energy expenditure from sitting still in a room temperature and not actively digesting food.

As per the Calorie guide value of MET for bowling is 3.9

Now the overall formula is

Calorie Burn (x) = ((MET * body weight in kg * 3.5) / 200) * (Number of minutes) m

x = ((3.9*56.7*3.5)/200) * m

Finally, x = 3.87 m represents the number of calorie burned (x) while bowling m minutes.

8 0
3 years ago
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