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2 years ago

Find the solution set. |x| = -4 A. { } B. {-2, 2} C. {-4, 4} D. {-16, 16}

Mathematics

1 answer:

Ray Of Light [21]2 years ago

6 0

Answer:

A. { }

Step-by-step explanation:

Absolute value cannot be less than zero.

-4 < 0

There is no solution for x, ∈, R.

Hope this helps.

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Two classes have a total of 50 students. One class has 6 more students than the other. How may students are in the larger class

givi [52]

Subtract 6 from 50:
50-6 = 44
Divide 44 by 2:
44/2 = 22

add 6:

22+6 = 28

There is 22 in the smaller class and 28 in the larger class.

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2 years ago

CASSANDRA WORKS AS CLERK AT A DEPARTMENT STORE ,SHE EARNS 1 375.00 A WEEK.SHE SAVE 25% OF THIS FOR HER SAVINGS.HOW MUCH DOES SHE

defon

the man

Step-by-step explanation:

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2 years ago

The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

2 years ago

A coin is tossed twice. Let H represents heads, T represents tails, and the combination of the two letters represent the outcome

denis23 [38]

Answer:

{HH, HT, TH, TT}

Step-by-step explanation:

The set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

In the first toss the coin may land Heads. In the second toss the coin may land Heads or Tails. This can be represented as;

HH, HT

Heads in the first and second tosses. Heads in the first toss followed by a Tail in the second toss.

In the first toss the coin is also likely to land Tails. In the second toss the coin may land Heads or Tails. This can be represented as;

TH, TT

Tails in the first toss followed by a Head in the second toss. Tails in the first and second tosses.

Combining these two possibilities will give us the set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

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3 years ago

The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.

Svetach [21]

The area of the circle is 1260.25 π m^2

8 0

2 years ago