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3 years ago

Which is equivalent to 2 5/6A. 5/3B. 7/6C. 17/6D. 12/5

Mathematics

2 answers:

Dimas [21]3 years ago

8 0

The answer would be C (17/6)
This is because;
6 goes into 17 twice leaving a reminder of 5.

RSB [31]3 years ago

8 0

Convert 2 5/6 into an improper fraction by multiplying 6 and 2 then adding 5. Keep the same denominator. The improper fraction would be 17/6. So your answer would be, C, 17/6.

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Find the equation of the line

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The slope is -1/4 and the y intercept it -6

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2 years ago

The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

kap26 [50]

Answer:

If $r >> h$ , the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

$A = \pi \cdot r^{2} + 2\pi\cdot s$

Where:

$r$ - Base radius of the cone, measured in inches.

$s$ - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

$s = \sqrt{r^{2}+h^{2}}$

Where $h$ is the altitude of the cone, measured in inches. If $r >> h$ , then:

$s \approx r$

And:

$A = \pi\cdot r^{2} +2\pi\cdot r$

Given that $A = 1885.7143\,in^{2}$ , the following second-order polynomial is obtained:

$\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0$

Roots can be found by the Quadratic Formula:

$r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}$

$r_{1,2} \approx -1\,in \pm 24.521\,in$

$r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in$

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0

2 years ago

What is the correct way to write three hundred nine million, fifty-eight thousand, three hundred four? A. 390,580,304 B. 309,58,

Leni [432]

C. 309,058,304

Three hundred nine million is in the millions bracket; wherein, three is in the hundred million place and nine is in the one million place.

fifty-eight thousand is in the thousands bracket; wherein 0 is placed in the hundred thousand place, five is in the ten thousands place, and eight is in the one thousands place.

three hundred four is placed as such because three should be in the hundreds place, 0 is in the tens place, and 4 is in the ones place.

3 0

2 years ago

Read 2 more answers

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tino4ka555 [31]

Answer:
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3 years ago

What is the solution to the system shown?

Mice21 [21]

Answer:d

Step-by-step explanation: