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Alchen [17]
3 years ago
12

A 15ft. wire is tied to the top of a tree to provide support. If the wire forms a 25° angle with the ground, what is the height

of the tree to the nearest hundredth?
Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer: 6.34\ ft

Step-by-step explanation:

Given

The length of the wire is l=15\ ft

The Wire makes an angle of 25^{\circ} with horizontal

Suppose the height of the tree is h

From the figure, we can write

\Rightarrow \sin 25^{\circ}=\dfrac{h}{l}\\\\\Rightarrow h=l\sin 25^{\circ}\\\Rightarrow h=15\sin 25^{\circ}\\\Rightarrow h=6.34\ ft

Thus, the height of the tree is 6.34\ ft

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Suppose there is no outcome common to all three of the events A, B, and C.
mina [271]

Answer:

Yes, the event are mutually exclusive...

Step-by-step explanation:

Event are mutually exclusive if those event cannot occur at the same time. That is the definition of mutually exclusive for instance in a football match, a certain team canot score 0 and 2goals in a match, it is either he scored 2goals or zero goals... In a throw of a coin we cannot have head and tail at the same time, it is either we have a head or a tail, all the event are mutually exclusive.

Now if we have a dealer selling blue car and two doors car. Let say 20% are blue and 10% have two doors. Then, this are not mutually exclusive because we can have a car that is blue and have two doors.

Mutually exclusive events are like disjoint set in SET theory, where A intersection B intersection C is equal to empty set.

Where A n B n C= {} empty set

6 0
4 years ago
Linda needs to buy pencils brands has a pack of 28 pencils for 5.29 brand b has a pack of 48 pencils for 8.47 find the unit pric
Anika [276]

Answer:

Brand A is the best buy.

Step-by-step explanation:

Brand A has a pack of 28 pencils for 5.29 dollars. This means that the unit cost of one pencil in Brand A would be 5.29/28 = 0.2$ per pencil rounded up to the nearest tenth.Brand B has a pack of 48 pencils for 8.47 dollars. This means that the unit cost of one pencil in Brand B would be 8.47/48 = $0.8 per pencil rounded up to the nearest tenth.Since $0.2 is lesser than $0.8, it means that Brand A is the best buy.

5 0
2 years ago
Lee watches TV for 3 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowa
miss Akunina [59]

Answer:

135 cent

Step-by-step explanation:

Given that:

Cost of electricity = 10cent / 1 kilowatt hour

TV consumption = 150watt per hour

Duration = 3 hours

Cost of operating for 30 days

Total energy usage per day: (150 watt/hr) * 3 hours = 450 watts = 450/1000 = 0.45kW

Total energy for 30 days = 0.45 * 30 = 13.5 Kilowatt

Cost per kilowatt = 10cent

13.5 kw = 13.5 * 10 cent = 135 cent

135 cent = $1.35

7 0
3 years ago
When y=5 what is 4(y+3)
ElenaW [278]

Answer:

32

Step-by-step explanation:

4(5+3)=

20+12=

32

or

4(5+3)=

4(8)=

32

4 0
3 years ago
Read 2 more answers
There are fifteen shirts in your closet ,eight blue and seven green. You randomly select one to wear on Monday and then a differ
hoa [83]

Answer:

4/15

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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