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Karolina [17]
2 years ago
12

Use the following image to assist in your answer. a = - 6 - 9 - 4

Mathematics
1 answer:
vfiekz [6]2 years ago
8 0

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

c^2 = 4^2 + 6^2

c^2 = 16 + 36

c^{2} = 52

Pythagoras' theorem for the middle one :

b^{2} = 6^{2} + a^{2}

Pythagoras' theorem for the biggest one :

(4+a)^2 = c^2 + b^2

16 + 8a + a^2 = 52 + b^2

Using the formula before (for b^2) it becomes :

16 + 8a + a^2 = 52 + (6^2 + a^2)

16 + 8a + a^2 = 52 + 6^2 + a^2

16 + 8a = 52 + 6^2

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

a = \frac{72}{8}

a = 9

Verifying :

b^2 = 6^2 + a^2

b^2 = 36 + 81

b^2 = 117

b^{2} = 117

The biggest one :

(4+a)^2 = c^2 + b^2

(4+9)^2 = 52 + 117

13^2 = 169

True

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t is commonly assumed that babies are equally likely to come as either a boy or a girl. This is not true. Actually, about 51.3%
eduard

Answer:

The probability they have one boy and one girl = 0.50 = 50 %

Step-by-step explanation:

Here the family has two children, we need to find what is the probability they have one boy and one girl.

Probability for babies are boys = 51.3% = 0.513

Probability for babies are girls = 1 - 0.513 = 0.487

The probability they have one boy and one girl = 1 -  probability that they have two boys - probability that they have two girls

The probability they have one boy and one girl = 1 - 0.513² - 0.487² = 0.499 = 0.50

The probability they have one boy and one girl = 0.50 = 50%

7 0
3 years ago
The final cost of a sale item is determined by multiplying the price on the tag by 75%.which best describes the function that re
AnnZ [28]

Answer:

4V = 3U

Step-by-step explanation:

The final cost of a sale item is determined by multiplying the price on the tag by 75%.

Let us assume that the final cost of the sale item is V and the price on the tag is given by U.

Then the equation that best describes the function that represents the situation is V = \frac{75U}{100} =\frac{3U}{4}

⇒ 4V = 3U  (Answer)

3 0
3 years ago
3(2y-3)=27can u solve this one
navik [9.2K]
3(2y-3)=27
6y-9=27
6y=36
y=6
7 0
3 years ago
Select option that continues pattern? 3,-6,12,4,20
harkovskaia [24]
The pattern is - 8 so the answer is 12.
4 0
3 years ago
The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that
Andrew [12]
We know that 70% of all comic book fans are male, and that 40% of Company A fans are male. 

Since 25% of all comic book fans are company A fans: 
0.4 * 0.25 (meaning 40% of 25%) = 0.1, or 10% of all comic book fans are male company A fans. 

What percentage, then, of male comic book fans are company A fans?
0.1 ÷ 0.7 = 0.142
We divide 10%, the percentage of all comic book fans that are male and company A fans, by the percentage of comic book fans that are male, since we are given that the fan is male. 

Answer is 0.14
6 0
3 years ago
Read 2 more answers
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