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vladimir1956 [14]
3 years ago
6

I’m confused on this one

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
The answer is 13.

Because this is a kite, the diagonals intersect perpendicularly or with a 90° angle.

In the triangle DIC, which is a right triangle, the legs are 5 and 12. To find the hypotenuse, we use Pythogarean theorem:
{a}^{2}  +  {b}^{2}  =  {c}^{2}
Plug in the givens:
{5}^{2}  +  {12}^{2}  =  {c}^{2}
Take the squares:
25 + 144 = 169  =  {c}^{2}
Take the square root of both sides:
\sqrt{169}  =   \sqrt{ {c}^{2} }  \\  \\ c = 13
We find the line segment DC. In the question it says "BD = DC". So BD is equal to 13.
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What quantity of parsley would you need to make 5 times as much as the original recipe?
algol [13]
Original= x

5(x)=y
y= 5Xx
8 0
3 years ago
Explain one thing you need to be careful with when writing a proportion.
ehidna [41]

For this case, we have that by definition, the proportions can be expressed in different ways. Example, if we have a dog and three cats:

75%: It's percentage

0.75: In decimal (75% are cats)

\frac {3} {4}: In fraction. (There are \frac {3} {4} of cats)

3: 1: Using ":" to separate sample values. (For every three cats there is a dog)

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

Example:3: 1 = 3 * 2: 1 * 2 = 6: 2

Answer:

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

7 0
3 years ago
What is the value of x if 8:15 ::16x
Nana76 [90]

Step-by-step explanation:

8:15::16:x

8x = 15 x 16

8x = 240

x = 240/8

x = 30

8 0
3 years ago
Of the 52 cards in the deck, four are aces and others (kings, queens, jacks, and tens) are worth 10 points each. The dealer has
VLD [36.1K]

Answer:

64 different black jack hands

Step-by-step explanation:

there are 4 aces in a deck, and you can score a blackjack if any of these 4 aces is paired with any of the 16 different cards that are worth 10 points. Total number of different blackjack combinations = 4 aces x 16 different tens = 64.

Even though the number of possible blackjack hands might seem large, the possibilities of actually getting one are really low:

possibility of getting 1 ace = 4/52 = 1/13

possibility of getting 1 ten = 16/51

possibility of getting a blackjack = 16 / 663

if you start with the 10 first the odds are the same:

possibility of getting 1 ten = 16/52 = 4/13

possibility of getting 1 ace = 4/51

possibility of getting a blackjack = 16 / 663

5 0
3 years ago
Select the simplification that accurately explains the following statement.<br> (from clever)
gavmur [86]

Answer:

OPTION C

Step-by-step explanation:

We know that $  (\textbf{x}^{\textbf{a}} )^{\textbf{b}} \hspace{5mm}  \textbf{=} \hspace{5mm} \textbf{x}^{\textbf{a . b}} $

Also, $ \textbf{x}^{\textbf{a}}. \textbf{x}^{\textbf{a}}  \textbf{=} \textbf{x}^{\textbf{a + a}} \textbf{=} \textbf{x}^{\textbf{2a}}  $

Using the above two results, we can say that:

$ \sqrt{9} = 9^{\frac{1}{2}} $

$ \bigg ( 9^{\frac{1}{2}} \bigg )^2 = 9^{\frac{1}{2}}. 9^{\frac{1}{2}} $

$ = 9^{\frac{1}{2} + \frac{1}{2}} $            (Using (ii) result)

$ = 9^{1} = \textbf{9} $

Hence, OPTION C is the correct answer.

8 0
2 years ago
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