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EastWind [94]
3 years ago
15

A girl 1.0 m in height, standing on top of a vertical building 45.0 m high sees a car some distance away when the angle of depre

ssion is 55 degree. What distance is the car from the base of the building? ​
Mathematics
2 answers:
zavuch27 [327]3 years ago
5 0

Answer:

55

Step-by-step explanation:

bjn mjjm

Pachacha [2.7K]3 years ago
4 0
65.5, is the answer I could be wrong tho
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Which is the graph of y= x-5-1?
tamaranim1 [39]

Answer:

None of them

Step-by-step explanation:

Because i can't see the graph

6 0
3 years ago
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Find a third-degree polynomial function with real coefficients and with zeros at -4 and -3 5i
Charra [1.4K]

If -3+5i is a solution, then by the conjugate root theorem, -3-5i is also a solution. We find the polynomial by multiplying together the factors. If x = -4, then x + 4 is the factor. If x = -3+5i, then (x-(-3+5i)) is a factor, and so is (x-(-3-5i)). Simplifying those down gives us as the first factor as (x+3-5i) and the second as (x+3+5i). We can FOIL those 2 together to get their product, and then FOIL in x+4. FOILing the 2 complex factors together gives us x^2+3x+15ix+3x+9+15i-15ix-15i-25i^2. If we combine like terms and cross out things that cancel it's much easier than what it looks like there! It simplifies down to x^2+6x-25i^2. Since i^2 = -1, it simplifies further to x^2+6x-25(-1) and finally, to x^2+6x+25. Now we will FOIL in x+4. (x^2+6x+25)(x+4)=x^3+6x^2+25x+4x^2+24x+100. Our final simplified third degree polynomial is x^3+10x^2+49x+100

3 0
3 years ago
Find 2 numbers a and b such that (a-b)^2 < (a+b)(a-b)< (a+b)^2 Find two numbes a and b such that this is not true
Svet_ta [14]

Suppose for the moment that the inequality holds for all a,b:

(a-b)^2

Expanding everything gives

a^2-2ab+b^2

\implies-ab

In particular, the inequality says that -ab for any choice of a,b. But if a and b>0, then -ab>0 while ab.

So one possible choice of a,b could be a=-1 and b=1. Then we get

(-1-1)^2=4

(-1+1)(-1-1)=2

(-1+1)^2=0

but clearly it's not true that 4.

8 0
3 years ago
Tesla Battery Recharge Time.The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per
madam [21]

Answer:

a.) f(x) = \frac{1}{30} where 90 < x < 120

b.) \frac{2}{3}

c.)  \frac{2}{3}

d.)  \frac{1}{2}

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = \frac{1}{120 - 90} = \frac{1}{30} where 90 < x < 120

b.)

P(x < 110) = \int\limits^{110}_{90} {\frac{1}{30} } \, dx

               = \frac{1}{30}[x]\limits^{110}_{90}  = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}

c.)

P(x > 100 ) = \int\limits^{120}_{100} {\frac{1}{30} } \, dx

                 = \frac{1}{30}[x]\limits^{120}_{100}  = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}

d.)

P(95 < x< 110)  = \int\limits^{110}_{95} {\frac{1}{30} } \, dx

                       = \frac{1}{30}[x]\limits^{110}_{95}  = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}

7 0
3 years ago
Which expression shows a sum of three terms.
vladimir1956 [14]

Answer:  B) 3+y+3

This can be simplified to y+6, but the current un-simplified expression has 3 terms.

======================================

Explanation:

Terms are separated by a plus sign. If you had something like 10x-5y, then you would write that as 10x+(-5y) showing that 10x and -5y are the two terms.

Choices A and C, xy and 6y respectively, have one term each. They are considered monomials. Mono = one, nomial = name.

Choice D is the product of the constant 3 and the binomial y+3. Binomials have two terms.

Only choice B has three terms, though we can simplify it down to two terms. I have a feeling your teacher doesn't want you to simplify it.

5 0
3 years ago
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