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Dovator [93]
3 years ago
11

Please help 10 points for the answer;

Mathematics
1 answer:
brilliants [131]3 years ago
4 0

Answer:

y=3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=3(x-0)

y-4=3x

y=3x+4

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Given the following sequence, find the 14th term: 3, 1, –1, –3, –5, . . .
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3, 1, -1, -3, -5
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a(n) = a₁ + d(n - 1)
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a(n) = 3 - 2(n) + 2(1)
a(n) = 3 - 2n + 2
a(n) = -2n + 3 + 2
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What is example of mass communication?​
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Step-by-step explanation:

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2 years ago
A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With
12345 [234]

Answer:

Distance of foot of ladder from building: <em>37.2 inches </em>

Distance of top of ladder from building's base: <em>114 inches </em>

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle \triangle ABC is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, <em>AC </em>= <em>10 foot </em>

Also, we are given that angle made by the base of ladder with the ground is 72^\circ.

We have to find <em>AB</em> and <em>BC</em>.

\angle BAC = 72^\circ

Using trigonometric functions:

cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches

sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow  sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow  0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches

Distance of foot of ladder from building: <em>37.2 inches </em>

Distance of top of ladder from building's base: <em>114 inches </em>

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