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3 years ago

A building that is 750 feet tall casts a shadow the is 111 feet long. find the angle of of elevation, in degrees, to the sun.

1 answer:

7 0

Imagine the shadow and the building height forms a right angle triangle;

We know the height and the shadow make up the "legs" of the triangle,

a²+b²=c²
(750)²+(111)²=c²
562500+12321=c²
574821=c²
c=√574821
c=758.169 ≈ 758.2 ft

Hope I helped :)

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Need help here, please.

spayn [35]

Answer:

Option C is correct.

Step-by-step explanation:

y = x^2+4x+5

We need to find the vertex of the above equation.

The above equation represents the parabola.

The slope of parabola can be found by taking derivative of the given equation

dy/dx = 2x+4

The slope of the parabola at the vertex is zero SO,

2x+4 = 0

2x = -4

x = -4/2

x = -2

Putting value of x =-2 to find the value of y

y = x^2+4x+5

y =(-2)^2+4(-2)+5

y = 4-8+5

y =9-8

y = 1

So, the vertex is (-2,1)

Option C is correct.

8 0

3 years ago

9. On a game show, there are 16 questions: 8 easy, 5 medium-hard, and 3 hard. If contestants are given questions

just olya [345]

Answer:

$\frac{7}{30}\approx0.23$

Step-by-step explanation:

Given:

Number of questions (N) = 16

Number of easy questions (E) = 8

Number of medium-hard questions (M) = 5

Number of hard questions (H) = 3

Now, the probability of getting the first question as easy question is given as:

$P(E1)=\frac{\textrm{Number of easy questions}}{\textrm{Total questions}}\\\\P(E1)=\frac{E}{N}=\frac{8}{16}=0.5$

Now, probability of getting the second question as easy question is given as:

$P(E2)=\frac{\textrm{Number of easy questions left}}{\textrm{Total questions left}}\\\\P(E2)=\frac{E-1}{N-1}=\frac{7}{15}$

Now, probability that the first two contestants will get easy questions is given by the product of $P(E1)\ and\ P(E2)$ . So,

$P(2\ easy\ questions)=P(E1)\times P(E2)\\\\P(2\ easy\ questions)=\frac{1}{2}\times \frac{7}{15}\\\\P(2\ easy\ questions)=\frac{7}{30}\approx 0.23$

Therefore, the probability that the first two contestants will get easy questions is $\frac{7}{30}\approx0.23$

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3 years ago

Fifteen less than twice a number is less than or equal to -23 just give me the equation not the answer

jeka57 [31]

Answer:

2x-15 < or = -23

Step-by-step explanation:

Let x be the number.

Twice that number is 2x. 15 less than that is -15.

2x-15 < or = -23

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3 years ago

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larisa86 [58]

Answer:

Step-by-step explana

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3 years ago

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gulaghasi [49]

Answer:

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Step-by-step explanation:

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3 years ago

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