All categories

3 years ago

Someone please solve x for me

Mathematics

1 answer:

Airida [17]3 years ago

3 0

Answer:

x = 20

Step-by-step explanation:

added together, the angles make 180

3x + 80 + 2x = 180

subtract 80 from both sides of the equation

3x + 80 - 80 + 2x = 180 - 80

combine like terms

5x = 100

divide both sides by 5

5x/5 = 100/5

x = 20

You might be interested in

Which unit would I use to measure the circumference of a birthday cake?

Helen [10]

Depends on how rich you are
if you are very rich, use meters (or yards)
if you are kinda rich, use feet
if you are average, use centimeters (or inches)
if poor, use milimeters

6 0

3 years ago

Construct an equilateral triangle of side 7cm and construct circumcircle.

zalisa [80]

Answer:

To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.

Step-by-step explanation:

With a ruler and a pencil, draw a 7cm line.
With a compass set to a radius of 7cm draw an arc centered around the right end of the line.
With the same compass, still at 7cm, draw an arc centered around the left end of the line.
These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.
Where those arcs intersect is the third point on your triangle. Mark that, and then trace two lines from that point to either end of the line segment you started with.

<em>You now have an equilateral triangle with 7cm sides. Next you need to draw the circle</em>

Measure the halfway point on two of your three lines.
Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.
You have now drawn two line segments, and they intersect in the center of the circle. Now take your compass and set its radius to the distance from that center point to one of the three corner points.
Centered on that middle point, trace a circle with the selected radius.

And you're done!

6 0

2 years ago

I paid $42 for six hot chocolate bombs what is the unit rate price for one item

NeTakaya

Answer:

Step-by-step explanation:

5 0

3 years ago

How to solve Y = eight, X =2 and direct variation

rodikova [14]

Answer:

The answer is k = 4.

Step-by-step explanation:

Given:

Y = 8 and X = 2.

Now, to solve direct variation.

$y$ direct with $x$ .

Now, using equation to solve direct variation:

$y=kx$

$8=k\times 2$

Dividing both sides by 2 we get:

$4=k$ .

Therefore, the answer is k = 4.

5 0

3 years ago

. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum

Drupady [299]

Answer:

$r=1.05\ \text{ft}$

$h=2.12\ \text{ft}$

$20.91\ \text{ft}^3$

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = $7.35\ \text{ft}^3$

$V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}$

Surface area is given by

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}$

Differentiating with respect to radius we get

$\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}$

Equating with zero we get

$0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05$

$\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0$

So, the value of the function is minimum at $r=1.05$

$h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12$

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3$

The minimum surface area is $20.91\ \text{ft}^3$ .

8 0

3 years ago