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2 years ago

(Y = -x + 4), (y = 3/2x - 6)

Mathematics

1 answer:

Temka [501]2 years ago

8 0

Answer:

$x = 4$

Step-by-step explanation:

$- x + 4 = \frac{3}{2} x - 6 \\ - 2x + 8 = 3x - 12 \\ 2x - 8 = - 3x + 12 \\ 5x = 20 \\ x = 4$

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Determine the lowest common denominator of the following rational expressions

andreev551 [17]

Answer:

Hi the answer is A, hopefully i helped you

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2 years ago

The sound of a jet engine of a skyhawk jetfighter is 70000 times louder than the sound of a lawnmower if the lawnmower has the l

Amanda [17]

Answer: 6,160,000 db

Step-by-step explanation:

The sound of a jet engine is 70,000 times louder than that of a lawn mower.

Since we know the sound of a lawnmower, we can multiply that by 70,000 to find the sound of a jet engine:

= Sound of lawnmower * 70,000

= 88 * 70,000

= 6,160,000 db

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2 years ago

A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e

ladessa [460]

Answer:

$\frac{r(1-\sqrt{2})}{-3}$

Step-by-step explanation:

Volume of cone = $\frac{1}{3} \pi r^{2} h$

Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

= $\frac{1}{3} \pi r^{2} \times r$

= $\frac{1}{3} \pi r^{3}$

Surface area of cone including 1 base = $\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}$

Since r = h

So, area = $\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}$

= $\pi r^{2} +\pi\times r \times \sqrt{2r^2}$

= $\pi r^{2} +\pi\times r^2 \times \sqrt{2}$

Ratio of volume of cone to its surface area including base :

$\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}$

$\frac{\frac{1}{3}r}{1+\sqrt{2}}$

$\frac{r}{3(1+\sqrt{2})}$

Rationalizing

$\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}$

$\frac{r(1-\sqrt{2})}{-3}$

Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is $\frac{r(1-\sqrt{2})}{-3}$

8 0

2 years ago

Read 2 more answers

PLZ HELP I WILL MARK BRAINIEST (26+4) divided by 6 = w

creativ13 [48]

Answer:

w = 5

Step-by-step explanation:

(26+4)=30, and 30/6=5, therefore, w = 5.

5 0

2 years ago

Read 2 more answers

What the correct answer now fast

netineya [11]

Answer:

112.065

Step-by-step explanation:

so divide the triangle in two from x to wy

and you get to triangles

then using the first right angled triangle you can apply tan=opposite/adjacent

to get height as 7.56 then apply 1/2bh to get first area as 58.59

first add all angles and subtract from 180=24

then use tan to get the height as 6.9

then apply 1/2bh to get second area as 53.48

then add the two areas to get total

(after getting first one don't multiply by two)

6 0

2 years ago