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3 years ago

The length of a rectangle is 6meters more it’s width. If the area of the rectangle is 135 square meters, find its dimensions

Mathematics

1 answer:

Sonja [21]3 years ago

4 0

Answer: 15 Length and 9 width or 9length and 15 width

Step-by-step explanation:

Find the factors of 135

Then you see 9 and 15

And 15-9=6 which means that those numbers are the correct ones.

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Solve the following equation for 0° ≤ θ < 360°. Use the "^" key on the keyboard to indicate an exponent. For example, sin2x w

never [62]

<u>Answer-</u>

$\boxed{\boxed{x=90^{\circ},270^{\circ}}}$

<u>Solution-</u>

The given equation-

$\Rightarrow 2\sin^2 x-\cos^2 x-2=0$

$\sin^2 x+\cos^2 x=1\ \ \Rightarrow \cos^2 x=1-\sin^2 x$

Putting this,

$\Rightarrow 2\sin^2 x-(1-\sin^2 x)-2=0$

$\Rightarrow 2\sin^2 x-1+\sin^2 x-2=0$

$\Rightarrow 3\sin^2 x-3=0$

$\Rightarrow 3\sin^2 x=3$

$\Rightarrow \sin^2 x=1$

$\Rightarrow \sin x=\sqrt1$

$\Rightarrow \sin x=\pm 1$

$\Rightarrow \sin x=1,\ \sin x=-1$

$\Rightarrow x=\sin^{-1}(1),\ x=\sin^{-1}(-1)$

$\Rightarrow x=90^{\circ}+n360^{\circ},\ x=270^{\circ}+n360^{\circ}$

Where n=0, 1, 2, ......

As given 0° ≤ x < 360°, so putting n = 0

$\Rightarrow x=90^{\circ},\ x=270^{\circ}$

3 0

4 years ago

Which of the following best describes a bisector of an angle

Gnom [1K]

Answer:

An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

326 people were in a tour group. Six buses were completely filled and 8 people chose to walk. How many people did the bus hold?

Artemon [7]

Answer:

The Total Capacity per bus is 53 people.

Step-by-step explanation:

To work this out you would first minus 8 from the total to find out how many actually went on the bus, and so we do not count the people walking. Then as you know there are six busses you would divide that new total by 6 to find the capacity per bus.

1) Minus 8 from 326.

$326-8=318$

2) Divide that by 6.

$318/6=53$

3) Total capacity.

The Total Capacity per bus is 53 people.

This shows that the total capacity per each bus is 53 people.

4 0

3 years ago

Read 2 more answers

A bicycle is on sale for $189.50. The sales tax rate is 5%. What is the amount of tax?

kozerog [31]

Answer:

9.475 = 9.48 dollars.

Step-by-step explanation:

5% = 0.05

$189.50 x 0.05 = 9.475

4 0

3 years ago

one of the angles of a right triangle measures 26 degrees. what are the degree measures of the other two angles?

vfiekz [6]

Answer:

64 degrees

Step-by-step explanation:

The right angle must be 90 degrees

The total degrees of a triangle must be 180

90+26=116

180-116=64

6 0

3 years ago