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k0ka [10]
3 years ago
6

Solve this equation.

Mathematics
1 answer:
elixir [45]3 years ago
7 0

Answer:

5(x+8)-1=20+2(x+8)

or, 5x + 40 -1 = 20 + 2x + 16

or, 5x-2x = 20+ 16 -39

3x = -3

x = -1

Step-by-step explanation:

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PLZ HELP E!!!!!!! WILL MARK BRAINLIEST
vitfil [10]

Answer:

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

Start on the left side.

1

+

sec

2

(

x

)

sin

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

+

1

cos

2

(

x

)

sin

2

(

x

)

Write  

sin

2

(

x

)

as a fraction with denominator  

1

.

1

+

1

cos

2

(

x

)

⋅

sin

2

(

x

)

1

Combine.

1

+

1

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

sin

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

cos

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

Apply Pythagorean identity in reverse.

1

+

1

−

cos

2

(

x

)

cos

2

(

x

)

Simplify.

Tap for more steps...

1

cos

2

(

x

)

Now consider the right side of the equation.

sec

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

2

cos

2

(

x

)

One to any power is one.

1

cos

2

(

x

)

Because the two sides have been shown to be equivalent, the equation is an identity.

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

is an identity

Step-by-step explanation:

7 0
3 years ago
(Score for Question 2: ___ of 10 points)
Vedmedyk [2.9K]

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

<h3>What is the area of trapezoid?</h3>

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

A=\dfrac{(a+b)h}{2}

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

brainly.com/question/1410008

#SPJ1

4 0
2 years ago
Find the values of x and y so that ABCD will be a parallelogram.
arsen [322]

Given:

Figure of a parallelogram.

To find:

The values of x and y.

Solution:

If two parallel lines intersected by a transversal line, then the alternate interior angles are congruent.

4x=24            (Alternate interior angles)

x=\dfrac{24}{4}

x=6

And,

y-10=32            (Alternate interior angles)

y=32+10

y=42

The value of x is 6 and the value of y is 42.

Therefore, the correct option is C.

3 0
3 years ago
The water slide is 130 meters from the top to bottom. The vertical height of the slide is 50 meters. What is the angle of elevat
amm1812

Answer:

180 meters?......?..?.?.?.

8 0
3 years ago
Ben is the youngest of four children. Bob is 5 years older than Ben, Bridget is twice as old as Bob, and Brian is 3 years younge
zhannawk [14.2K]

Answer:

bob is 7 Brian is 11 and bridget is 14

Step-by-step explanation:

if ben is 2 and bob is 5 years older then him he would be 7 if Brian is 3 years younger then bridget he would be 11 and if bridget is 2 times older than bob she would be 14.

5 0
3 years ago
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