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3 years ago

On a number line, show all values of x for which… |x |< 1

Mathematics

1 answer:

aleksley [76]3 years ago

4 0

Answer:

See attachment

Step-by-step explanation:

We want to show all values of x, for

$|x| \: < \: 1$

on the number line.

By the definition of absolute value function:

$- x \: < \: 1 \: or \: x \: < \: 1$

Divide through the first inequality by -1 and reverse the sign.

$x \: > \: - 1 \: or \: x \: < \: 1$

On the number line, we can represent this as shown in attachment.

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3. Cancel out the threes.

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3 years ago

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netineya [11]

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3 years ago

Find the lateral surface area of the prism below in square yards.

denis-greek [22]

Answer:

Step-by-step explanation:

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2 years ago

15. The length of each edge of a regular tetrahedron,

grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35 $\mathrm{cm}^{3}$

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height= $\sqrt{\frac{2}{3}} a$

Where a= length of each edge

Slant height= $\sqrt{\frac{2}{3}} \times 8$

= $\sqrt{0.6667} \times 8$

= $0.8165 \times 8$ =6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron= $\frac{a^{3}}{6 \sqrt{2}}$

Substitute the value of a in above equation we get

Volume= $\frac{8^{5}}{6 \sqrt{2}}$

= $\frac{512}{6 \sqrt{2}}$

= $\frac{512}{6 \times 1.414}$

Volume= $512 / 8.484$ =60.35 $\mathrm{cm}^{3}$

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35 $\mathrm{cm}^{3}$

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3 years ago

Uhmmm helppppppp pls lol

natulia [17]

Answer:

h=81

Step-by-step explanation:

Dont know how to explain but this is the answer

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3 years ago

Read 2 more answers