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myrzilka [38]
2 years ago
8

Solve for x. Leave your answer in simplest radical form.

Mathematics
2 answers:
svetlana [45]2 years ago
5 0

Answer:

2√5

Step-by-step explanation:

hypotenuse of the second triangle = √(9²-5²)

= 2√14

so,

x = √{(2√14)²-6²}

= 2√5

denis-greek [22]2 years ago
4 0

Answer:

2sqrt(5)

Step-by-step explanation:

The left triangle is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

5^2 + b^2 = 9^2

b^2 = 9^2 - 5^2

b^2 = 81-25

b^2 =56

Taking the square root of each side

b = sqrt(56) = sqrt(4*14) = 2 sqrt(14)

The right side is also a right triangle so we can  use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

x^2 + 6^2 = (sqrt(56))^2

x^2 +36 = 56

x^2 = 56-36

x^2 = 20

Taking the square root

sqrt(x^2) = sqrt(20) = sqrt(4*5) = 2sqrt(5)

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Answer: 6.13

Step-by-step explanation:

From the question, we are informed that MUSIC Randall recorded 8 songs on his most recent CD and that the total length of the CD is 49 minutes.

The unit rate to represent the average length per song on the CD will be calculated by dividing 49 by 8. This will be:

= 49 minutes / 8

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= 6.13 to nearest hundredths

6 0
2 years ago
What is the product?
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= -30a^5b + 12a^4b^3 + 6a^3b^2 + 10a^3b^2 - 4a^2b^4 - 2ab^3
= -30a^5b + 12a^4b^3 + 16a^3b^2 - 4a^2b^4 - 2ab^3

answer
B.  -30a^5b + 12a^4b^3 + 16a^3b^2 - 4a^2b^4 - 2ab^3
3 0
3 years ago
The graph of a polynomial function approaches - as x approaches -co, and approaches + op as x approaches + Which could be the de
wolverine [178]

Answer:

  degree 5, leading coefficient 1

Step-by-step explanation:

When the sign of the end behavior matches that of x, the leading coefficient is positive, and the degree is odd.

One possibility is ...

  degree 5, leading coefficient 1

6 0
3 years ago
What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​
navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

  • hypothenuse = x
  • adjacent = 11.2
  • opposite = 16
<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2\\

Let's substitute the values and solve for the missing side

x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

brainly.com/question/3317136

6 0
2 years ago
13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an eq
11Alexandr11 [23.1K]

Answer:

9m ×5m

Step-by-step explanation:

Area of a rectangle= length ×width

Let the width be W meters and the length be L meters.

2 equations can be written from the given information:

45= WL -----(1)

L= W +4 -----(2)

Substitute (2) into (1):

45= W(W +4)

<em>Expand:</em>

45= W² +4W

<em>-45 on both sides:</em>

W² +4W -45= 0

<em>Factorise:</em>

(W +9)(W -5)= 0

W+9=0 or W-5=0

W= -9 or W= 5

(reject)

Substitute W= 5 into (2):

L= 5 +4

L= 9

∴ The dimensions of the garden is 9m ×5m.

6 0
2 years ago
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