The area of the surface of an office desk is 10 square feet. The perimeter is 14 feet. What are the dimensions of the desk?

Answer:

LHS

[tex]\frac{cos x}{1+ sin x} + \frac{1+ sin x}{cos x} \\=\frac{cos2(x)+1+2sin(x)+sin2(x)}{cos(x)(1+sin(x)} \\= \frac{2+2sin(x)}{cos(x)(1+sin(x))} \\\\=\frac{2 (1 + sin(x))}{cos(x)(1+sin(x))} \\= \frac{2}{cos (x)} \\= 2 sec x[/tex]

= RHS PROVED

hope it helps :)

Answer:

Original slope: 3/4

Perpendicular slope: 4/3

Step-by-step explanation:

Find the original slope by using rise over run, then flip the original slope which finds your perpendicular slope.

Answer:

No u

Step-by-step explanation:

Answer : M{A}=72

This is a triangle, meaning the total degree will be 180.

Answer:

the root of x in ax^2+bx+c=0

is

x=[-b±√(b²-4ac)]/2a

Answer:

A. 37.5

Step-by-step explanation:

Answer:

No, it is not a right triangle.

Step-by-step explanation:

We know that there are 2 legs and 1 hypotenuse.  The hypotenuse is 76 because it is the largest number.  And the two legs are 73 and 26.  Now to find if it is a right triangle we will take 73 and multiply it by itself, which is 5,329.  Now we will do the same with 26 and we get 676.  Then we add 676 to 5,329 and we get 6,005.  Because we are trying to find the hypotenuse, we have to find what number when squared makes 6,005.  Since 76 x 76 = 5,776 it is not a right triangle.

Here is an image of the triangle:

Answer:

k=0 or k=9/10

Step-by-step explanation:

10k^2 - 10k- (-k) = - k- (-k)

10k^2-9k=0

k(10k-9)=0

k=0 or 10k-9=0

k=0 or k=9/10

Answer:k=(1/2,2/5)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer: [tex]45-48\ \text{mph}[/tex]

Step-by-step explanation:

Given

Car velocity is given by [tex]45, 46, 46, 45, 48[/tex]

The range of a given set of data is given by

[tex]\text{Range=Max-min. value}[/tex]

Maximum velocity=48

Minimum velocity=45

The Range of velocity is

[tex]\Rightarrow 48-45=3[/tex]

Velocity lies between [tex]45-48\ \text{mph}[/tex]

Answer:

1/12

Step-by-step explanation:

1/4 divided by 3

Answer:

I think you can buy 1/3 for one dollar

Answer:

new salary = ₹ 14400

Step-by-step explanation:

here's your solution

==> monthly salary = ₹ 12000

==> percentage increase in salary = 20%

=> we need to find 20% of 12000

==> increased amount = ₹ 2400

==> salary of this month = 12000 + 2400

==> new salary = ₹ 14400

hope it helps

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

Answer:

solution given:

x²=20

x=±√20 is your answer

Answer:

2

Step-by-step explanation:

[tex]x^{2} =20\\x= ± \sqrt{20}[/tex]

Answer:

G

Step-by-step explanation:

Answer:

ok ill answer at 11:58 bro bro

Step-by-step explanation:

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Step-by-step explanation:

Answer:

Well,for me it's letter C.

Answer:

I believe N = -1/10

Step-by-step explanation:

Answer:

There are 7456 seats on the lower level and there are 5044 seats on the middle level.

Step-by-step explanation:

Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...

# of seats on the lower level = 3x - 50

# of seats on the lower level = 3(2502) - 50

# of seats on the lower level = 7456

Now we just make the equation for the number of seats on the middle level, and so we get...

# of seats on the middle level = 2x + 40

# of seats on the middle level = 2(2502) + 40

# of seats on the middle level = 5044

Answer:

∠ B = 60°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(10x - 45)° is an exterior angle of the triangle , then

10x - 45 = 3x + 4x = 7x ( subtract 7x from both sides )

3x - 45 = 0 ( add 45 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Then

∠ B = 4x = 4 × 15 = 60°

Answer:

∡B=60°

Step-by-step explanation:

x = 15

so 4x = 60

7x + 180 - (10x-45) = 180

-3x + 225 = 180

-3x = -45

x = 15

Answer:

$612

Step-by-step explanation:

Each side of the square garden is 17 meters, and fencing costs $9 per meter. "Around" is the key word, as it indicates perimeter. So, we just need to account for each side of the garden, and not the entirety of the garden. So,

17 · 9 = 153

This means that to cover one side of the garden, it would cost $153. Now, we just need to account for all sides of the garden.

153 x 4 = 612

Answer:

The answer would be 612$ to put a fence around the garden

or 153 for 17 meters

Step-by-step explanation:

I believe that it is 612 because it says sides

let me know if it is correct