All categories

3 years ago

Solve the following,show work 4x^2=40-27x

Mathematics

1 answer:

dexar [7]3 years ago

6 0

Here is the answer!!!! For the part that got cut is this (-27x+40)

You might be interested in

39/360 in simplest form

Sergeeva-Olga [200]

Answer:

$= \frac{13}{120}$

5 0

3 years ago

A sector of a circle has a central angle measuring 15 degrees and the radius of the circle measures 9 inches. What is the arc le

Kamila [148]

Answer:

Arc length is $\dfrac{3\pi }{4}\ \text{inches}$

Step-by-step explanation:

We have,

Central angle is 15 degrees and the radius of the circle measures 9 inches.

It is required to find the arc length of the sector.

The relation between arc length and the central angle is given by :

$\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{\theta}{360}$

Circumference, $C=2\pi r=18\pi$

$\theta=15^{\circ}$

$\dfrac{x}{18\pi }=\dfrac{15}{360}\\\\\dfrac{x}{18\pi }=\dfrac{1}{24}\\\\x=\dfrac{18\pi }{24}\\\\x=\dfrac{3\pi }{4}\ \text{inches}$

Hence, the correct option is (b).

5 0

3 years ago

The length of each side of an equilateral triangle is increased by 6 inches, so the perimeter is now 60 inches. What was the ori

Nimfa-mama [501]

Answer:

14 inches

Step-by-step explanation:

Using this information, we can form an equation.

Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.

(This is the equation you'd want to do to get the answer)

3x + 3 * 6 = 60

Simplify:

3x + 18 = 60

Same to both sides

3x = 42

Isolate x:

x = 14

Let me know if you have any questions

8 0

3 years ago

Emmit says the dilation can be represented by (1/2X, 1\2Y)Emily says the dilation can be represented by(1\3X, 1\3Y)Who is correc

schepotkina [342]

In the triangle LJK, the length of side LK=18.

In the triangle L'J'K', the length of side L'K'=6

Therefore,

$L^{\prime}K^{\prime}=\frac{1}{3}LK=\frac{1}{3}\times18=6$

Therefore, the scale factor for dilation is 1/3.

So, the dilation can be represented as

$\frac{1}{3}X,\frac{1}{3}Y$

So, Emily's statement is correct.

3 0

1 year ago

The enrollment at a local university increased from 14,000 students to 20,000 students over a six-year period. What was the appr

svlad2 [7]

I think it has to be 2,333 students per year.

14,000 students divided by 6 years equals about 2,333 or 2,333.333.

7 0

3 years ago

Read 2 more answers