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3 years ago

Find the area of the trapezoid. Please Help

Mathematics

2 answers:

Fudgin [204]3 years ago

5 0

Answer:

Step-by-step explanation:

RULE:

the area of the trapezoid = height × [(base1 + base2)÷2]

According to the given picture :

height = 3

base1 = 6

base2 = 2

therefore,

The area = 3×[(6+2)÷2]

= 12

vitfil [10]3 years ago

4 0

Answer: 14 squared units

Step-by-step explanation:

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3 years ago

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

Fed [463]

Answer:

$\theta=k\pi, \hspace{3}k\in Z\\\\ or\\\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\$

Step-by-step explanation:

Factor constant terms:

$-2(-4sin(2\theta)+sin(\theta))=0$

Divide both sides by -2:

$sin(\theta)-4sin(2 \theta)=0$

Expand trigonometric functions using the fact:

$sin(2 \theta) =2 sin(\theta) cos(\theta)$

So:

$sin(\theta) -8sin(\theta)cos(\theta)=0$

Factor sin(x) and constant terms and multiply both sides by -1:

$sin(\theta) (8cos(\theta)-1)=0$

Split into two equations:

$(1)=8cos(\theta)-1=0\\\\(2)=sin(\theta)=0$

For (1)

Add 1 to both sides and divide both sides by 8:

$cos(\theta)=\frac{1}{8}$

Take the inverse cosine of both sides:

$\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z$

For (2)

Simply take the inverse sine of both sides

$\theta = k \pi, \hspace{3}k\in Z$

Therefore, the solutions are given by:

$\theta=k\pi, \hspace{3}k\in Z\\\\ or\\ \theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\$

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3 years ago

(5 + 6) - + (-5 - 6) + - (5 - - 6)<br><br> A.21<br> B.12<br> C.11<br> D.18

lora16 [44]

Answer:

Step-by-step explanation:

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3 years ago

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What is the result of converting 1250 yards into miles? Remember that 1 mile = 1760 yards.

Kobotan [32]

Answer:

Step-by-step explanation:

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3 years ago

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shusha [124]

Answer:

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Step-by-step explanation:

The segments described in the question are equidistant (meaning they are the same length). Therefore, using algebraic techniques, we can set these two equal to each other and solve for x.

4x - 8 = 6x - 4 Combine like terms by subtracting 6x from both sides.

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-2x = 4 Divide by -2 on both sides of the equation.

x = -2

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