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Law Incorporation [45]
4 years ago
11

PLEASE HELP ASAP!!!!!!

Mathematics
1 answer:
maksim [4K]4 years ago
3 0
6) 1.6 x 10^-4 = 0.00016
7) diameter of the sun
8) water molecule
9) grain of salt
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Find the cardinal number of the set<br> C = {x|x € N, 30 &lt; x &lt; 56 and x is divisible by 6},
Naddik [55]
<h3>Answer: 4</h3>

=====================================================

Explanation:

We're given the following

C = \{ x | x \in \mathbb{N}, \ 30 < x < 56, \ \text{ x is divisible by 6}\}

which means that we have a set of natural numbers between 30 and 56, excluding both endpoints, and the set of numbers are also multiples of 6.

So looking at the multiples of 6 that are between 30 and 56 leads us to

{30, 36, 42, 48, 54}

but we cross off 30 as we want x to be larger than that, so we get this updated final list

{36, 42, 48, 54}

There are four items in this final list so the cardinality of the set described is 4. The cardinality is just the number of items in a given set.

4 0
4 years ago
70 POINTS! ∆ABC is reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the li
madam [21]

Answer:

A'(1, 1); B'(3, 2); C'(1, 2)

Step-by-step explanation:

The original points are A(1,1 ), B(2, 3) and C(2, 1).

Reflecting the triangle across the x-axis will negate every y-coordinate; this maps

(1, 1)→(1, -1); (2, 3)→(2, -3); (2, 1)→(2, -1)

Rotating the figure 90° clockwise about the origin switches the x- and y-coordinates and negates the x-coordinate; this maps

(1, -1)→(-1 -1); (2, -3)→(-3, -2); (2, -1)→(-1, -2)

Reflecting across the line y=x will negate both the x- and y-coordinates; this maps

(-1, -1)→(1, 1); (-3, -2)→(3, 2); (-1, -2)→(1, 2)

3 0
3 years ago
Read 2 more answers
6y^-4 <br> simplified<br> please help!!
Y_Kistochka [10]

Answer:

1/1296

Step-by-step explanation:

Refer to attachment

4 0
3 years ago
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Describe the two situations when you can use the Law of Cosines.
Tasya [4]
We use the law of Cosines to be able to find : 1. The measure of the third side, when the measure of two sides and the included angle of a triangle ABC are known. 2. The measure of any angle, when the measure of the three sides of a triangle ABC are known.




The Law of Cosines is c² = a² + b² - 2abcosΘ. It has four variables; a, b, c and Θ. Whenever you have a triangle with three of these variables known, use the Law of Cosines to calculate the unknown variable.
6 0
3 years ago
Pls help me with this maths question, I forgot how to do it :))<br>​
scoray [572]

Step-by-step explanation:

thats the answer i think

7 0
2 years ago
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