Both a rhombus and a rectangle have diagonals that are perpendicular bisectors, but the ones formed in a square are all congruent, so that is probably the most descriptive one.

6 0

3 years ago

The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container

pochemuha

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

$V=\frac{3}{4}(r^{3}\pi)$

Where $r$ is the radius.

2. The diameter is:

$D=2r$

3. So, you must solve for the radius in the first equation:

$r=\sqrt[3]{\frac{4V}{3\pi}}$

$r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft$

4. Then, the diameter is:

$D=2(6.94ft)\\D=13.88ft$

8 0

3 years ago

I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.

elena-14-01-66 [18.8K]

Hello,

$m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\$

$cos(30^o)=\dfrac{\sqrt{3} }{2} \\$

In the triangle ABC,

$cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\$

$sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}$

In the triangle ACB,

$cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\$

6 0

2 years ago