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Lera25 [3.4K]
3 years ago
12

After a storm, a tree lies as shown. What was the original height of the tree? (Round to the nearest whole foot.)

Mathematics
1 answer:
Andreyy893 years ago
3 0
Using the Law of Sines, sina/A=sinb/B=sinc/C (although there are other ways considering that this is a 30, 60, 90 degree triangle with a basic identity) we can say:

97/sin60=x/sin30=y/sin90

x=97sin30/sin60 and y=97sin90/sin60

The total height of the tree is h=x+y so

h=97sin30/sin60 + 97sin90/sin60

h≈168.01 ft (to the nearest hundredth of a foot)

h≈168 ft (to nearest foot)


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An online t-shirt store is having a sale. The original price of each t-shirt is p dollars. The store sells 20 t shirts and earns
SVETLANKA909090 [29]
20 (p-3) is the anwser
3 0
3 years ago
The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
6 0
3 years ago
Tay is making jam. The recipe calls for `3` strawberries for each apple.
puteri [66]

Answer:

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4 0
3 years ago
A ride at a carnival has two types of cars for children to ride one type has two seats and one has four seats there are 25 cars
Darya [45]

Answer:

10

Step-by-step explanation:

To solve this problem you need to create a system of equations. In these equations, use a = 2-seated car and b = 4- seated car

The first equation that you can make can be a + b = 25 because the number of 2-seated cars plus the number of 4-seated cars is going to equal a total of 25 cars.

The next equation you can make is 2a + 4b = 70 because the number of seats provided by the 2-seated cars plus the number of seats provided by the 4-seated cars will equal 70 total seats.

Next, line up the equations and solve:

Step one: Line up the equations

                a +  b = 25

             2a + 4b = 70

Step two: Multiply the top equation by -2 so that you can add both of                                        the equations together

             -2(a) + -2(b) = 25(-2)   ⇒   -2a - 2b = -50

                2a +    4b = 70         ⇒    2a + 4b = 70

Step three: Add the equations

               -2a - 2b = -50

              + 2a + 4b = 70

            ______________

                         2b = 20

Step four: Divide both sides by 2 in order to solve for b

                2b = 20 ⇒ b = 10  

Because b represents the number of 4-seated cars, you now know that there are 10 4-seated cars on the ride.          

3 0
3 years ago
8/2(2+2) what is this answer people have either said 1 or 16 . What’s your answer and why?
pantera1 [17]

Answer: 1

Step-by-step explanation: It is 1 because according to order of operations we have to do what is inside the parentheses first, so we do 2x2 + 2x2, which equals 4+4=8, finally do 8/8 to get 1.

Hope this helps! :)

5 0
2 years ago
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