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3 years ago

PLEASE HELP ME

Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• tanx = $\frac{sinx}{cosx}$

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

$\frac{tan^2x-sin^2x}{tan^2x}$

= $\frac{tan^2x}{tan^2x}$ - $\frac{sin^2x}{tan^2x}$

= 1 - cos²x

= sin²x = right side ⇒ verified

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Get the right answer and ill give brainly

iren2701 [21]

Answer:

(8,0)

Step-by-step explanation:

First equation

2 x- 4y = 32

2 x = 32 + 4 y

x = 32 + 4 y DIVIDED BY 2

x = 32/ 2 + 4 y/ 2

x = 16 + 2 y

Second equation

8 x − 8 y = 96

Factorize

8 ( x − y ) = 96

Transfer the 8 and put value of x

16 + 2 y − y = 96 /8

16 + y = 12

y = 12 − 16

y = − 4

Get the value of x

x = 16 + 2 y

x = 16 + 2 × − 4

x = 16 + ( − 8 )

x = 8

8 0

2 years ago

Trace needs a new carpet for her house the living are is an open floor plan of a dining room 6 feet c 4 feet sitting area 10 fee

hram777 [196]

Answer:

199 square feet

Step-by-step explanation:

Given:

Trace needs a new carpet for her house.

Dimension of dining room = 6 feet by 4 feet.

Dimension of sitting area = 10 feet by 15 feet.

Dimension of breakfast nook = 5 feet by 5 feet.

Question asked:

How many square feet of carpet does she need ?

Solution:

First of all we will calculate the area of each part of the house and then add up.

$Area \ of \ dining\ room=length\times width$

$=6\times4\\ \\ =24\ square\ feet$

$Area \ of \ sitting\ part=length\times width$

$=15\times10\\ \\ =150\ square\ feet$

$Area \ of \ breakfast\ nook=(side)^{2}$

$=5^{2} =25\ square\ feet$

Total carpet needed will be needed = For dining + For sitting area + For breakfast nook

= 24 + 150 + 25

= 199 square feet

Therefore, she needs 199 square feet of a new carpet for her house.

6 0

2 years ago

If you eat 12 strawberries in 3 minutes, how long will it take to eat 8 strawberries at that rate?

kiruha [24]

Answer:

12/3 = 8/x

x=2

Step-by-step explanation:

6 0

2 years ago

Find the area of the rectangle. l=10 in, w=7.5 in

Tpy6a [65]

Answer:

It should be 75 inches

Step-by-step explanation:

5 0

2 years ago

Select ALL the correct answers.

shepuryov [24]

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary

The description of the angles in the quadrilaterals are:

b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
f. m∠J = 105°, m∠K = 65°, and m∠L = 75°

<h3>How to describe the angles</h3>

The quadrilateral is given as: JKLM

The opposite angles are:

Angles J and L
Angles K and M

The opposite angles are supplementary

So, we have:

$J + L = 180$

$K + M = 180$

Next, we test the options

Option (a)

$J + L = 180$

$125 + 35 = 160$

This is not true

Option (b)

$J + L = 180$

$48 + 132 =180$

This is true

Option (c)

$K + M = 180$

$12 + 78 = 180$

This is not true

Option (d)

$K + M = 180$

$120 + 60 = 180$

This is true

Option (e)

$K + M = 180$

$72 + 108= 180$

This is true

Option (f)

$J + L = 180$

$105 + 75 = 180$

This true

Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)

Read more about inscribed quadrilaterals at:

brainly.com/question/26690979

6 0

2 years ago