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Pachacha [2.7K]
3 years ago
15

An eighth grade class rolls a number cube 50 times. The number cube has sides

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

9/25

Step-by-step explanation:

Number of Trials =50

<u>Outcomes Less than 4</u>

Frequency of 1=6

Frequency of 2=4

Frequency of 3=8

Total =6+4+8=18

Relative frequency for "roll a number less than 4" =18/50=9/25

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Given sin A = 12/13 and that angle A is in Quadrant 1,
UkoKoshka [18]

We have been given that \text{sin}(A)=\frac{12}{13} and angle A is in quadrant 1. We are asked to find the exact value of \text{cot}(A) in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}

Now we will find adjacent side using Pythagoras theorem as:

\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2

\text{Adjacent}^2=13^2-12^2

\text{Adjacent}^2=169-144

\text{Adjacent}^2=25

Let us take positive square root on both sides:

\sqrt{\text{Adjacent}^2}=\sqrt{25}  

\text{Adjacent}=5

Therefore, adjacent side of angle A is 5 units.

\text{cot}(A)=\frac{5}{12}

Therefore, the exact value of cot A is \frac{5}{12}.

5 0
3 years ago
There were 200 melons in a box and they were distributed to 3 children in the ratio of 4:3:3. The first child sold the melons at
Elena L [17]

Answer:

$460

Step-by-step explanation:

let the number of melons be x

4x + 3x + 3x = 200 melons

10x = 200 so, x will be 20

4x = 80 melons

3x = 60

3x = 60

amount made by 1st child = 80 × $2 = 160$

the remaining melons are 60 + 60 = 120

amount collected: they sold them in groups of 2 and each group was $5. so,

120÷2 × $5 = $300

total amount = 300 + 160 = $460.

6 0
3 years ago
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8 0
3 years ago
Last week,Tanya read for 1 3/4 hours each day for 7 days.Did she read for at least 10 hours last week?
xz_007 [3.2K]
Yes she actually read for 12.25 hourse
3 0
3 years ago
I have more than one so first one is
diamong [38]

Answer:

Step-by-step explanation:

1 L = 1,000 mL

52 L = 52,000 mL > 5,200 mL

::::

1 m = 100 cm

14 m = 1,400 cm > 140 cm

8 0
3 years ago
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