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Luda [366]
3 years ago
15

A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.

Mathematics
2 answers:
katovenus [111]3 years ago
8 0
There will be a 14% chance that you will get a green marble.
Neko [114]3 years ago
4 0
Salutations!

<span>A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.

If a marble is chosen at random, what is the probability that the marble is green?

Probability means an occurrence of a chance

(Probability of getting green marble) = </span>8/56

Simplify tex]8/56[/tex]

The simplified answer would be 1/7

Hope I helped (:

Have a great day!
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Nina owns a vacation home valued at $75,500. She owes $32,126 on her mortgage. How much are the asset and liability values for N
alexandr402 [8]
The value of Nina's house is $75,500. However, she owes $32,126 on her mortgage.
The asset on her house is $75,500
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The net worth of the house is $43,344 (difference between assets and liabilities)
5 0
3 years ago
In circle O, BC=14 and DC=25. What is the length of diameter BA? -58.6 -12.2 -44.6 -30.6
Savatey [412]
The picture in the attached figure

we know that
If a tangent segment and a secant segment are drawn to a <span>circle </span><span>from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
</span>so
DC²=BC*CA-----> CA=DC²/BC
DC=25
BC=14
CA=25²/14-----> CA=44.64
CA=BC+BA----> BA=CA-BC----> BA=44.64-14----> BA=30.64

BA is the diameter
hence
<span>the length of diameter BA is 30.64----> round to the nearest tenth---> 30.6
</span>
the answer is
<span>the length of diameter BA is 30.6</span>


7 0
3 years ago
I need help with problem five
elena55 [62]
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8 0
2 years ago
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what's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is
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4 0
3 years ago
A parallelogram has sides of lengths 9 and 8, and one angle is 44°. What is the length of the smaller diagonal? length = units W
DIA [1.3K]

Answer:

The length of the smaller diagonal is d_1 = 6.44 units

The length of the longer diagonal is d_2 = 15.77 units

Step-by-step explanation:

Given: A parallelogram has sides of lengths 9 and 8, and one angle is 44°.

We can use the cosine formula to find the measures of the diagonals.

The cosine formula is a^2 = b^2 + c^2 - 2bc (cos  A)\\

We can divide the parallelogram into two equal triangles.

<u>Triangle 1</u>

Which has the two sides measures 9 and 8 and including angle is 44°.

If we are given two sides and one angle, we can use the cosine formula and find the third side. Here third side is diagonal 1.

d_1^2 = 9^2 + 8^2 - 2*9*8 cos(44)\\d_1^2 = 81 + 64 - 103.58\\d_1 = 145 - 103.58\\d_1^2 = 41.42

Taking square root on both sides, we get

d_1 = 6.44 [Rounded to the nearest hundredths place]

<u>Triangle 2</u>

It is a parallelogram, the opposite sides are equal. Therefore, the another triangle has equal measures but angle differs.

The adjacent angles in a parallelogram add upto 180°.

Therefore, the angle measure is 180 - 44 = 136°.

Now let's use the cosine formula and find the measure diagonal 2.

d_2 ^2 = 9^2 + 8^2 - 2*9*8*cos 136\\d_2^2 = 81 + 64 - (-103.58)\\d_2^2 = 145 + 103.58\\d_2^2 = 248.58

Taking the square root on both sides, we get

d_2 = \sqrt{248.58} \\d_2 = 15.77 [Rounded to the nearest hundredths place]

So the length of the smaller diagonal is d_1 = 6.44 units

the length of the longer diagonal is d_2 = 15.77 units

7 0
3 years ago
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