A 25-foot ladder leans against a house. The bottom of the ladder is 7 feet from the house.

1 answer:

8 0

It makes a 74 degree angle.

The sides of the triangle that are given are the side adjacent to the angle the ladder makes with the ground and the hypotenuse of the triangle.

adjacent/hypotenuse is the ratio for cosine:

cos x = 7/25

To solve this, we will take the inverse cosine:

x = cos⁻¹(7/25) = 73.7 = 74

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The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas

OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

$P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years$

Therefore, the population of the city in 13 years time will be:

$P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951$

The population be at that time will be approximately 1,474,951.

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AfilCa [17]

Answer:

-3<x<3

Step-by-step explanation:

let y=0

0=x^2-9

0=(x+3)(x-3)

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3 years ago

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Answer:

Step-by-step explanation:

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How to solve by elimination

natka813 [3]

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Given the trinomial 3x2 − 6x + 5, what is the value of the discriminant?

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& 3 x^2& -6 x& +5\\
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3 years ago