All categories

3 years ago

Solve the equation 44-x/5 = x/6 - - - -- - -- - - -- - --- - - -- - - -- -

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

120

Step-by-step explanation:

44 - x/5 = x/6 ⇒ add x/5 to both sides
x/6 + x/5 = 44 ⇒ add up fractions by bringing to common denominator
11x/30 = 44
x = 44*30/11 ⇒ multiply both sides by 30/11
x = 4*30
x = 120 ⇒ answer

You might be interested in

find the measure of the arc or angle indicated. assume that lines which appear tangent are tangent

Serjik [45]

Answer:

Option (1)

Step-by-step explanation:

By the property of alternate segment theorem,

"Angle formed between the tangent and the chord in a circle measures the half of the measure of the intercepted arc"

m(∠EFG) = $\frac{1}{2}$ × m(minor arc FG)

minor arc FG = 2m(∠EFG)

= 2(76°)

= 152°

Therefore, Option (1) will be the correct option.

7 0

3 years ago

Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

1 year ago

PLEASE ANSWER THIS GET BRAINLIEST IF YOUR ANSWER IS CORRECT AND 50 POINTS I'm gonna upload the rest on my next question

kondaur [170]

Answer:

1. 24 cubic units

2. 180 cubic units

3. 1/16 cubic units

Step-by-step explanation:

Question 1

Volume of a rectangular prism = width × length × height

= 3 × 4 × 2

= 12 × 2

= 24 cubic units

Question 2

Volume of a rectangular prism = width × length × height

= 5 × 12 × 3

= 60 × 3

= 180 cubic units

Question 3

Volume of a rectangular prism = width × length × height

= 1/4 × 1/2 × 1/2

= 1/8 × 1/2

= 1/16 cubic units

4 0

2 years ago

Read 2 more answers

Which of the following are remote interior angles of _1? Check all that apply.

andrew11 [14]

Answer:

I would say 2,3,4.

Step-by-step explanation:

I hope this helps and i hope this is the right answer

8 0

3 years ago

The graph is a two-dimensional representation of the

Mila [183]

Answer: D. 12 ft

Step-by-step explanation:

8 0

3 years ago