Step-by-step explanation:
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>here's</em><em> your</em><em> solution</em>
<em> </em><em>=</em><em>></em><em> </em><em>in </em><em>first </em><em>figure</em><em> </em><em>,</em><em> </em><em>base </em><em>=</em><em> </em><em>5</em><em>.</em><em>5</em><em>,</em><em> </em><em>perpendicular</em><em> </em><em>=</em><em>7</em><em>.</em><em>8</em>
<em>=</em><em>></em><em> </em><em>h^</em><em>2</em><em> </em><em>=</em><em> </em><em>5</em><em>.</em><em>5</em><em>^</em><em>2</em><em> </em><em>+</em><em> </em><em>7</em><em>.</em><em>8</em><em>^</em><em>2</em>
<em>=</em><em>></em><em> </em><em>h^</em><em>2</em><em> </em><em>=</em><em> </em><em>3</em><em>0</em><em>.</em><em>2</em><em>5</em><em> </em><em>+</em><em> </em><em>6</em><em>0</em><em>.</em><em>8</em><em>4</em><em> </em>
<em>=</em><em>></em><em>h^</em><em>2</em><em> </em><em>=</em><em> </em><em>9</em><em>1</em><em>.</em><em>0</em><em>9</em>
<em>=</em><em>></em><em> </em><em>h </em><em>=</em><em> </em><em>√</em><em>9</em><em>1</em><em>.</em><em>0</em><em>9</em>
<em>=</em><em>></em><em> </em><em>h </em><em>=</em><em> </em><em>9</em><em>.</em><em>5</em>
<em> </em><em> </em><em>Both </em><em>figure</em><em> </em><em>are </em><em>congruent</em>
<em>enc </em><em>we </em><em>will </em><em>get </em><em>a </em><em>rectangle</em><em> </em><em>by </em><em>add </em><em>both </em>
<em>hope</em><em> it</em><em> helps</em>
Answer:
can u show a little clear pic with full triangle shown
From a standard deck of cards, one card is drawn. What is the probability that the card is black and a
jack? P(Black and Jack)
P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26
A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen
or an ace. P(Q or A) = P(Q) = 4/52 or 1/13 + P(A) = 4/52 or 1/13 = 1/13 + 1/13 = 2/13
WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the
probability that they will both be aces? P(AA) = (4/52)(3/51) = 1/221.
1
WITHOUT REPLACEMENT: What is the probability that the second card will be an ace if the first card is a
king? P(A|K) = 4/51 since there are four aces in the deck but only 51 cards left after the king has been
removed.
WITH REPLACEMENT: Find the probability of drawing three queens in a row, with replacement. We pick
a card, write down what it is, then put it back in the deck and draw again. To find the P(QQQ), we find the
probability of drawing the first queen which is 4/52. The probability of drawing the second queen is also
4/52 and the third is 4/52. We multiply these three individual probabilities together to get P(QQQ) =
P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52) = .00004 which is very small but not impossible.
Probability of getting a royal flush = P(10 and Jack and Queen and King and Ace of the same suit)
What's the probability of being dealt a royal flush in a five card hand from a standard deck of cards? (Note:
A royal flush is a 10, Jack, Queen, King, and Ace of the same suit. A standard deck has 4 suits, each with
13 distinct cards, including these five above.) (NB: The order in which the cards are dealt is unimportant,
and you keep each card as it is dealt -- it's not returned to the deck.)
The probability of drawing any card which could fit into some royal flush is 5/13. Once that card is taken
from the pack, there are 4 possible cards which are useful for making a royal flush with that first card, and
there are 51 cards left in the pack. therefore the probability of drawing a useful second card (given that the
first one was useful) is 4/51. By similar logic you can calculate the probabilities of drawing useful cards for
the other three. The probability of the royal flush is therefore the product of these numbers, or
5/13 * 4/51 * 3/50 * 2/49 * 1/48 = .00000154

I believe but I am not too sure.
The perimeter of the equatorial triangle is 24 units
<h3><u>Solution:</u></h3>
Given that,
An equilateral triangle has an height equal to 
The triangle is shown below
From Triangle ABC in the shown figure AD 
Let the sides of the equilateral triangle be ‘a’
AB = BC = a
Since, it is an equilateral triangle we get,
BD = DC = a ÷ 2
Now, using Pythagoras Theorem in Triangle ABD,
The Pythagorean theorem is this: In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.




a = 8
Hence, the three sides of the triangle are 8 units each
In equilateral traingle, length of all three sides of triangle are equal
So, Perimeter = 3
(Length of each side of triangle)
Perimeter = 3
8 = 24
Thus the perimeter of the equatorial triangle is 24 units