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MrMuchimi
3 years ago
7

Nadia has a bag of different colored balloons. Without

Mathematics
2 answers:
Jobisdone [24]3 years ago
8 0

Answer: A.4/25

Step-by-step explanation:

Number of trials that were performed = 50

Number of times a blue balloon was chosen = 22

Number of times a yellow balloon was chosen = 7

Number of times an orange balloon was chosen = 8

Number of times a purple balloon was chosen = 13

The estimated probability of choosing an orange balloon from the bag will be the number of times that an orange balloon was chosen divided by the total number of trials. This will be:

= 8/50

= 4/25

morpeh [17]3 years ago
3 0

Answer:

Its 4/25 so its A.

Step-by-step explanation:

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Yes It is Divisible by 3

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It is 314 in whole numbers but it has some decimals.

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the absolute value is 6

Step-by-step explanation:

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Find sin(a+B)
diamong [38]

Answer:

Cos A=5/13

we have

Cos² A=1-Sin ²A

25/169=1-Sin²A

sin²A=1-25/169

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again

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P/b=4/3

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h=\sqrt{3²+4²}=5

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Sin B=p/h=4/5

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Sin B=-4/5

CosB=b/h=3/5

Now

<u>S</u><u>i</u><u>n</u><u>(</u><u>A</u><u>+</u><u>B</u><u>)</u><u>:</u><u>s</u><u>i</u><u>n</u><u>A</u><u>c</u><u>o</u><u>s</u><u>B</u><u>+</u><u>C</u><u>o</u><u>s</u><u>A</u><u>s</u><u>i</u><u>n</u><u>B</u>

<u>n</u><u>o</u><u>w</u><u> </u>

<u>substitute</u><u> </u><u>value</u>

<u>Sin(A+B):</u>12/13*3/5+5/13*(-4/5)=36/65-4/13

<u>=</u><u>1</u><u>6</u><u>/</u><u>6</u><u>5</u><u> </u><u>i</u><u>s</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u>

6 0
3 years ago
The hypotenuse of the right triangle is 5 meter long. the shorter leg is 1 Meter shorter than the longer leg. find the side leng
Firlakuza [10]

Shorter leg = x

Longer leg = x +1

Length of the hypotenuse: 5 m ​

We can use the pythagorean theorem with the information given. Doing so, we have:

\begin{gathered} a^2+b^2=c^2 \\ (x)^2+(x+1)^2=5^2\text{ (Replacing the values)} \\ x^2+x^2+2x+1=25\text{ (Raising both terms to the power of 2)} \\ x^2+x^2+2x=25-1\text{ (Subtracting 1 from both sides of the equation)} \\ 2x^2+2x=24\text{ (Adding like terms)} \\ 2x^2+2x\text{ }-24=0\text{ (Subtracting 24 from both sides of the equation)} \\ 2(x+4)(x-3)=0\text{ (Factoring)} \\ x1=-4\text{ (Since x=-4 makes the factor (x+4) equal to 0)} \\ x2=3\text{ (Since x=3 makes the factor (x}-3\text{) equal to 0)} \\ \text{ Since we need a positive solution x would be equal to 3} \end{gathered}

So, the answers would be:

Shorter leg = 3 m

Longer leg = 4 m

Length of the hypotenuse: 5 m

6 0
1 year ago
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