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V125BC [204]
3 years ago
10

A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the grou

nd, to the nearest degree.
A) 31°
B) 34°
C) 42°
D) 56°
Mathematics
2 answers:
svetoff [14.1K]3 years ago
7 0

Answer:

The solution is 34°.

Step-by-step explanation:

We can use the inverse tangent ratio to determine the angle of elevation.

Angle = tan-1(

100

150

)

Angle = 34°

Dvinal [7]3 years ago
5 0

Answer:

Step-by-step explanation:

A tree that is 100 feet tall casts a shadow that is 150 feet long ...

The angle at which the ray of the sun hit the ground is that which has a tangent equal to 100 / 150 or 2/3. This angle is equal to 33.69. Thus, the answer is letter B. 34°

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An insurance company has 10,000 automobile policyholders. The expected yearly claim per policyholder is $240, with a standard de
elena55 [62]

Answer:

almost 0%

Step-by-step explanation:

Given that for an insurance company with 10000 automobile policy holders, the expected yearly claim per policyholder is $240 with a standard deaviation of 800

using normal approximation, the probability that the total yearly claim exceeds $2.7 million is calculated as follows:

Sea sumatoria de x = SUMX, tenemos que:

P (SUMX \geq 2700000) = P(\frac{SUMX - 240*10000}{800 *\sqrt{10000} } \geq \frac{2700000 - 240*10000}{800 *\sqrt{10000} })

= P (z\geq \frac{2700000 - 240*10000}{800 *\sqrt{10000}})

= P (z => 3.75)

= 1 - P ( z < 3.75)

P = 1 - 0.999912

P = 0.000088

Which means that the probability is almost 0%

4 0
2 years ago
How many zeros does the function f(x)=15x^17+41x^12+13x^13-10 have?
Butoxors [25]

Answer:

17

Step-by-step explanation:

According to the graph below there are just 3 real zeros. If you count everything, there would be 17. I have chosen the real ones. But there are 14 others that all involve complex numbers. I don't know how you would find them.

Summary

There are 17 roots in total. 3 are real.

5 0
2 years ago
The sum of three consecutive odd integers is forty five written as an algebraic equation would be:
lord [1]

False,

 the equation should be

x+ (x+2) +(x+4) = 45

4 0
2 years ago
A right rectangular pyramid is sliced parallel to the base, as shown.
iragen [17]
<span>C.25 cm² is the answer
</span><span>

</span>
3 0
3 years ago
Mario has 4 large veggie pizzas. Each of his friends will eat 2/6 of one pizza.
mr Goodwill [35]

Answer:

Each pizza must be divided into 6 parts.   TRUE

Mario can feed 12 friends with 4 pizzas.  TRUE

Step-by-step explanation:

Total number of pizzas Mario has  = 4

Now the fraction of pizza eaten by 1 friend  = 2/6 = 1/3

⇒ 1 friend eats (\frac{1}{3}) of pizza.

So, the fraction if pizza eaten by his 3 friends  = 3 x Fraction his 1 friend eats)

= 3 \times (\frac{1}{3} ) = 1

Hence, his 3 friends eats 1 complete pizza.

Now, he has a total of 4 pizzas.

So, the number of friends to finish 4 pizza  

= 4 x ( Number of people to finish 1 pizza) = 4 x 2  = 12 friends

Hence, his 12 friends eat 4 complete pizza.

Now, the given statements are:

Each pizza must be divided into 4 parts.

False as 3 is NOT divisible by 4

Each pizza must be divided into 6 parts.   TRUE

Mario can feed 12 friends with 4 pizzas.  TRUE

Mario can feed 24 friends with 4 pizzas. FALSE

3 0
3 years ago
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