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mafiozo [28]
3 years ago
13

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.

<u>Question asked:</u>

How many square feet of carpet does she need ?

<u>Solution:</u>

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

<em />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.<br><br> 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

<u>Option (a)</u>

J + L = 180

125 + 35 = 160

This is not true

<u>Option (b)</u>

J + L = 180

48 + 132 =180

This is true

<u>Option (c)</u>

K + M = 180

12 + 78 = 180

This is not true

<u>Option (d)</u>

K + M = 180

120 + 60 = 180

This is true

<u>Option (e)</u>

K + M = 180

72 + 108= 180

This is true

<u>Option (f)</u>

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
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