All categories

3 years ago

Right angled triangle calc: find a, b=24, c=33.94113

1 answer:

5 0

Use the Pythagorean theorem...
a²+b²=c², in this case a²=c²-b²

a²+24²=33.94113²

a²+576=1,152.00031

a²=576.000306

a=24 (If you need the exact number, not rounded, it is 24.0000064)

You might be interested in

5. Determine whether the

BARSIC [14]

Step-by-step explanation:

5. Determine whether the

-2

-1

Is it a linear quadratic or exponential

6 0

3 years ago

Temperature Suppose there is a 1.7°F drop in temperature for every thousand feet that an

SIZIF [17.4K]

Answer:

wrong the answer is 63.1

Step-by-step explanation:

4 0

3 years ago

A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

In art class Ms smith is working on polygons. She want the students to Create a picture of the polygons. She points out to the c

Ivan

Answer:

There are two more sides on a hexagon than on a quadrilateral

Step-by-step explanation:

If the hexagon has 6 sides, and the quadrilateral has 4, then 6-4=2

8 0

3 years ago

Hurry and answer marking people brainliest the first 3 people

kherson [118]

Answer:

Step-by-step explanation:

the formula for a circle which would be C = 2 \pi r

The 9.5*3.14 divide by two so 14.915

and this rounded would be 15.0 or 14.9 not too sure just pick whatever

4 0

3 years ago