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2 years ago

Please help me with this thank you

Mathematics

2 answers:

Anettt [7]2 years ago

5 0

The customer bought four cubic feet more of sand than he needed!

Varvara68 [4.7K]2 years ago

4 0

Too much sand.

Volume is the amount of space something takes up. The formula for volume is v=length x width x height.

The volume of the sandbox is 36 ft^3, because 5x6x1.2 = 36. This means the box takes up 36 cubic feet of space.

If the customer bought 40 cubic feet of sand, than they bought to much because 40 > 36. The amount of sand she got is greater than the volume of the box, so it won’t all fit.

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3x-y+2=0 in rectangle form

kotegsom [21]

Complete Question:

Convert 3x-y+2=0 in rectangle form to polar form

Answer:

r ( 3cosθ - sinθ) = -2

Step-by-step explanation:

The equation so given is already in rectangular form, the task is to convert it to polar form.

3x - y + 2 = 0

To transform an equation from the rectangular to the polar coordinate:

x = r cosθ

y = r sinθ

Substitute the representations for x and y into the given equation:

3(r cosθ) - (r sinθ) + 2 = 0

3rcosθ - rsinθ = -2

The polar representation of the equation then becomes:

r ( 3cosθ - sinθ) = -2

8 0

3 years ago

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

vodka [1.7K]

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

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

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

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

4 0

2 years ago

Can you please help me on 2,3,4, and 5? I will mark the brainliest plus 12 points for answering.

Marianna [84]

Answer:

2) Exact

3) Exact

4) Exact

5) Approximation

Step-by-step explanation:

8 0

2 years ago

Solve the following inequality: 3-5x-x^2>=0

Dennis_Churaev [7]

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(3)/2(-1)

x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)

5 0

3 years ago

E) Three friends were each given 25% of pie. What fraction of the pie was given altogether?

Leokris [45]

Answer:

3/4 or 75% or .75

Step-by-step explanation:

You would multiply 3 * .25 because there are three people getting 25% of a pie. All of the answers above are equivalent

4 0

2 years ago

Read 2 more answers