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2 years ago

A tree is 3 ft tall casts a shadow that is 2 ft long. Find the length of the shadow that a 6 ft tree cast.

Mathematics

1 answer:

AlladinOne [14]2 years ago

3 0

Answer:

4 feet

Step-by-step explanation:

Plz brainliest,hope I could Help

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Plz help meI will mark u brainliest 2.. Write an expression that represents the amount of money they collected each night. The t

vladimir1956 [14]

Answer:

143a + 221b = 1,651

Step-by-step explanation

143a + 221b = 1,651

1.Add the "a"s and "b"s together seperatly.

2.Then put them together in a equation.

3.The a you added together is 143a.The b you added together is 221b.

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2 years ago

Has no dimension represented by a dot

Ahat [919]

A point has no dimension. It is usually represented by a dot. A line has one dimension. It is usually represented by a straight line with two arrowheads to indicate that the line extends without end in two directions.

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2 years ago

Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°

vodka [1.7K]

$2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\$

$\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\$

$x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\$

$\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]$

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1 year ago

A shoe factory produces 1. 81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it m

kogti [31]

Answer:

Step-by-step explanation:

7 0

1 year ago

Read 2 more answers

Identify the parameters in y = a*bkx.

Natasha2012 [34]

Convention in algebra is that we use letters such as a, b, c, etc., for parameters and letters such as x, y z, and so on, for variables.

Thus the parameters here are a, b and k. k is the constant of proportionality.

5 0

2 years ago