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3 years ago

.......... ......................

Mathematics

1 answer:

MrRa [10]3 years ago

6 0

Answer:

what do you need help on?

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kari74 [83]

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3 years ago

On the first day of a family road trip, Tamara's family travels 540 miles,

konstantin123 [22]

Answer:

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3 years ago

Solve the inequalty 2 2/5 < b-8/15

mr_godi [17]

Answer:

b>44

Step-by-step explanation:

12/5<b-8/15

switch sides b-8/15>12/5

multiply both sides by 15 15(b-8)/15>12*15/5

simplify b-8>36

add 8 to both sides b-8+8>36+8

simplify

b>44

4 0

3 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

3 years ago

Each of the ten letters in ``MATHCOUNTS'' is written on its own square tile and placed in a bag. What is the probability that a

PIT_PIT [208]

step 1

First, see how many letters in MATHCOUNTS are also in TEACH.

M no

A yes

T yes

H yes

C yes

O no

U no

N no

T yes

S no

That is 5 out of the 10 letters.

<span>the probability=</span>5/10-------> 1/2
<span>
the answer is
1/2
</span>

4 0

3 years ago