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3 years ago

5

Which statements are true? Check all that apply. All rectangles are squares. All rhombi are parallelograms. All squares are rhom

bi. All trapezoids are parallelograms. No trapezoid is a rectangle.

1 answer:

Ede4ka [16]3 years ago

6 0

Answer:

All rhombi are parallelograms.

All squares are rhombi.

No trapezoid is a rectangle.

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The solution of 3tan^2x-1=0 if x is in the first quadrant

aev [14]

Answer:

In the first quadrant are solutions of the form $x=\dfrac{\pi}{6}+2\pi k,\ k\in Z.$

In the second quadrant are solutions of the form $x=\dfrac{5\pi}{6}+2\pi k,\ k\in Z.$

Step-by-step explanation:

First, solve the equation $3\tan^2x-1=0.$ This equation is equivalent to equation

$\tan^2 x=\dfrac{1}{3},\\ \\\tan x=\dfrac{1}{\sqrt{3} }\ \text{or }\tan x=-\dfrac{1}{\sqrt{3} }.$

The equation $\tan x=\dfrac{1}{\sqrt{3} }$ has the solution

$x=\arctan \dfrac{1}{\sqrt{3} }+\pi k,\ k\in Z,\\ \\x=\dfrac{\pi}{6}+\pi k,\ k\in Z.$

The equation $\tan x=-\dfrac{1}{\sqrt{3} }$ has the solution

$x=\arctan \left(-\dfrac{1}{\sqrt{3} }\right)+\pi k,\ k\in Z,\\ \\x=-\dfrac{\pi}{6}+\pi k,\ k\in Z.$

In the first quadrant are solutions of the form $x=\dfrac{\pi}{6}+2\pi k,\ k\in Z.$

In the second quadrant are solutions of the form $x=\dfrac{5\pi}{6}+2\pi k,\ k\in Z.$

3 0

3 years ago

HELP PLZ NEED ASAP AND BRAINLIEST Simplify the complex fraction. In complete sentences, explain the process that you followed to

zimovet [89]

Answer:

the answer is a+9/2

Step-by-step explanation:

a-9/a/1-3/a

=a-9/a/-2/a

=a+9/a/2/a.

( dividing two negatives is equal to positive)

=a+9/a*a/2

doing reciprocal

=a+9*1/2

reduce the expression"a"

=a+9/2

find the product

answer is a+9/2

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3 years ago

A tile factory earns money by a flat fee for delivery and sales price per tile sold. For one customer the tile factory shipped 1

algol13

10,000 tiles * 0.25 = 2500

3000 -2500 = 500

so the delivery fee is 500 and the tiles cost 0.25 each

so the equation would be y = 0.25x +500

Answer is C

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4 years ago

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2.A radio station gave away 126 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How m

zhenek [66]

They Gave The Employees 21 Tickets

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4 years ago

The Original Price of an item is $150.00. It is on sale for 30% off. You also have a store coupon for 10% off of the sale price.

kumpel [21]

30% + 10% = 40% off
150 * 0.40 = $60 off
150 - 60 = $90
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3 years ago

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