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Ad libitum [116K]
3 years ago
13

Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

Answer:

x = 5sqrt(3)

Step-by-step explanation:

This is a right triangle.  We can use the Pythagorean theorem to solve

a^2 +b^2 = c^2

5^2 +x^2 = 10^2

25+x^2 = 100

Subtract 25 from each side

25-25 +x^2 = 100-25

x^2 = 75

Take the square root of each side

sqrt(x^2) = sqrt(75)

x = sqrt(3*25)

Remember sqrt(ab) = sqrt(a)sqrt(b)

x = sqrt(5)sqrt(3)

x = 5sqrt(3)

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A gardener planted 456 roses. 1/4 of them were red.how many of then were red?
weqwewe [10]

Answer:

114

Step-by-step explanation:

456 devided by 4 equals 114

4 0
3 years ago
sam rolls 3 standard fair dice. that probability that the three numbers rolled on the dice are the sides of a triangle is , wher
mart [117]

The required probability for three numbers rolled on the dice are the sides of a triangle is 31/36.

<h3>What is probability?</h3>

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability.

Here,

When three dice are rolled, there are 63=216 possible outcomes, or triplets (x, y, z).

Once more, in a triangle, any two sides added together are larger than the third side, or (x+y)>z.

As a result, 186 outcomes or triplets are possible and satisfy this property.

Hence, the required probability is 186/216=31/36.

The required probability is 31/36 for three dice rolls to produce triangle sides.

To know more about probability,

brainly.com/question/11234923?referrer=searchResults

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7 0
1 year ago
Solve Similar triangles<br> Solve for x.<br> x=?
Julli [10]

Answer:

x = 2

Step-by-step explanation:

AB/BC = AD/DE

\frac{2}{1} = \frac{2+x}{2}

cross-multiply:

2+x = 4

x = 2

7 0
3 years ago
Is this problem convergent or divergent?
Svetllana [295]

Answer:

Its divergent

Step-by-step explanation:

<em><u>HOPE</u></em><em><u> </u></em><em><u>YOU</u></em><em><u> </u></em><em><u>LIKED</u></em><em><u> </u></em><em><u>IT</u></em>

6 0
3 years ago
A triangle's area is given by the expression 3x2-x+12. The height is 6x. The base off the triangle is the quotient of the area a
patriot [66]
You have known the formula Length of base is la division of Area and a haft of the height.
So we have 3
(3 {x}^{2}  - x + 12) \div ( \frac{1}{2}  \times 6x)
or
(3 {x}^{2}  - x + 12) \div 3x
3 {x}^{2}  \div 3x +(  - x \div 3x) + 12 \div 3x
and
x -  \frac{1}{3}  +  \frac{4}{x}
have fun
6 0
3 years ago
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