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3 years ago

These are two angles that add up to 180° that share a common vertex. What do you call these angles?

Mathematics

1 answer:

Yuri [45]3 years ago

8 0

Answer:

• linear angles

• supplementary angles (all linear angles are supplementary)

Step-by-step explanation:

If the angles share a side and are measured in opposite directions from that side, the non-common edges of these angles form a straight line, so these angles are sometimes called "linear" angles.

Since their sum is 180°, they are always "supplementary" angles. (Supplementary angles need not share a vertex or a side.)

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The radioactive element carbon-14 has half of 5750 years. A scientist determined that the bones from a mastodon has lost 56.6% o

IRISSAK [1]

Answer:7881 years

Step-by-step explanation:

You can use the equation

fraction remaining = 0.5n where n is # of half lives elapsed

n = ?

fraction remaining = 1 - 0.612 = 0.388

0.388 = 0.5n

n = 1.37 = the # of half lives

1.37 x 5750 yrs = 7881 years

8 0

3 years ago

What are the first five terms in the<br> recursive sequence defined by the<br> following?

kolezko [41]

The first five terms of the sequence are {0, -1.4, -2.8, -4.2, -5.6}

<h3>Recursive function</h3>

Given the nth term of a recursive expression shown below

an =an-1 - 1.4

where

an-1 is the preceding term

a1 is the first term

an is the nth term

an-1 is

Given the following

a1 = 0

For the second term a2

a2 = 0 - 1.4

a2 = -1.4

For the third term a3

a3 = -1.4 - 1.4

a3 = -2.8

For the fourth term a4

a4 = -2.8 - 1.4

a4 = -4.2

For the fifth term a2

a5 = -4.2 - 1.4

a5 = -5.6

Hence the first five terms of the sequence are {0, -1.4, -2.8, -4.2, -5.6}

Learn more on recursive function here: brainly.com/question/489759

#SPJ1

5 0

1 year ago

Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. if he has 18 shirts how many pair

Sergeu [11.5K]

Answer:

Step-by-step explanation:

he has 2 shirts for 1 pair(s) pants so if you multiply 9 times 2 you get 18 and if you multiply 9 time 1 you get your answer which is 9

5 0

2 years ago

A triangular pyramid with a height of 9 inches has a volume of 63 cubic inches. If the height of the triangular base is 6 inches

Bond [772]

Option D: 21 in is the base length of the triangular base.

Explanation:

Given that a triangular pyramid with a height of 9 inches has a volume of 63 cubic inches.

The height of the triangular base is 6 inches.

We need to determine the base length of the triangular pyramid.

The base length of the triangular pyramid can be determined using the formula,

$Volume =\frac{1}{3} \times Bh$

Substituting $Volume=63$ and $Height=9$ in the above formula, we get,

$63 =\frac{1}{3} \times B(9)$

Simplifying the terms, we get,

$63 =3B$

Dividing both sides by 3, we have,

$21=B$

Thus, the base length of the triangular pyramid is 21 in

Hence, Option D is the correct answer.

3 0

2 years ago

When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?

Fantom [35]

Answer: 25.2361459992ft

This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft

5 0

3 years ago