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STatiana [176]
3 years ago
13

In the diagram below, triangle ABC is drawn with altitude BD. If AD = 30 and AC = 36, determine the length of AB rounded to the

nearest tenth.​

Mathematics
1 answer:
denis-greek [22]3 years ago
5 0

9514 1404 393

Answer:

  32.9

Step-by-step explanation:

The ratio of long side to hypotenuse is the same for all of the triangles in the figure.

  AD/AB = AB/AC

  AB^2 = AD·AC = 30·36

  AB = 6√30 ≈ 32.863

To the nearest tenth, AB ≈ 32.9.

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Find the probability that when a couple has three children, at least one of themis a girl. (Assume that boys and girls are equal
kvv77 [185]

Answer:   \bold{\dfrac{7}{8}=87.5\%}

<u>Step-by-step explanation:</u>

"At least one girl" means P(1 girl) + P(2 girls) + P(3 girls)   or   1 - P(all boys)

I will use the latter: 1 - P(all boys)

P(all boys) = \dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}=\dfrac{1}{8}

1 - P(all\ boys) \quad = \quad 1-\dfrac{1}{8}\quad =\large\boxed{\dfrac{7}{8}}

6 0
3 years ago
if the diameter of the table cloth measures 50 inches which measurement is closest to the area of the tablecloth
never [62]
 50 x 3.14 = 157  i think this is the answer
3 0
3 years ago
Which expression is equivalent to 1/2x+(−7)−2 1/4x−(−2
Lynna [10]

The equivalent expression to the given expression is \mathbf{=-(\dfrac{7}{4}x+5)}

<h3>What is an algebraic expression?</h3>

Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).

From the given expression, we are to determine an expression that is equivalent to:

=\dfrac{1}{2}x + (-7) -2 \dfrac{1}{4}x -(-2)

To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.

By doing so, we have:

=\dfrac{1}{2}x -7 -\dfrac{9}{4}x +2

=\dfrac{1}{2}x -\dfrac{9}{4}x +2 -7

=\dfrac{1}{2}x -\dfrac{9}{4}x -5

=-\dfrac{7}{4}x-5

\mathbf{=-(\dfrac{7}{4}x+5)}

Learn more about solving algebraic expressions here:

brainly.com/question/4344214

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5 0
1 year ago
In 5 blank, 278, the difference between the value of the digits in the blank and the blank. What is the blank digit in
Katarina [22]

Answer: The digit in the thousand place is '9'.

Step-by-step explanation: The given number is 5_278.

The difference between the values of the digits in the thousandth place and the tenth place is 8930.

The digits in the tenth place is already given, which is 7

Let's assume the digits in the thousandth place is x,

8 0
2 years ago
Rewrite each statement using brackets to make a true statement 6.7 decided by 0.3+5.2x3.9=4.75.
mezya [45]

(0.35+5.2)(3.9)=4.75

5 0
3 years ago
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