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V125BC [204]
3 years ago
5

Distribute 1/3(12y - 9)

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0
3. 4y-3
because 1/3*12y - 1/3*9 = 4y - 3
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Type of angle:<br> Angle measures:
icang [17]

Answer:

I don't get this.......

5 0
3 years ago
All athletes at the Olympic games are tested for performance-enhancing steroid drug use. The imperfect test gives positive resul
Nana76 [90]

Answer:

0.4%

Step-by-step explanation:

We have two independent events

  1. The athlete who is being tested for drugs actually is using steroids.
  2. The test went wrong indicating a false result.

The probability of 1) to happen is 0.04 because "4% of all registered athletes use steroids".

The probability of 2) ti happen is 0.1 because "The imperfect test gives positive results (indicating drug use) for 90% of all steroid-users"

Then the probability of 1) and 2) to happen is given by

P=P(1)*P(2)=(0.04)(0.1)=0.004=0.4%

3 0
3 years ago
Angelica says the tangent is the ratio of the length of the leg opposite angle A ∠ A over the length of the leg adjacent to angl
Tpy6a [65]

Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.

Cos A = 4/5; Sin A = 3/5

<h3>What is the Trigonometry Ratios?</h3>

The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:

  • Sine ratio, sin ∅ = opp/hyp
  • Cosine ratio, cos ∅ = adj/hyp
  • Tangent ratio, tan ∅ = opp/adj.

<h3>What is the Pythagroean Theorem?</h3>

If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.

1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:

If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:

tan A = 9/12 = 3/4.

Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.

2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.

3. Find AC using the Pythagorean theorem:

AB = √(3² + 4²)

AB = 5 units.

Cos A = adj/hyp = AC/AB

Cos A = 4/5

Sin A = opp/hyp = BC/AB

Sin A = 3/5

Learn more about the trigonometry ratios on:

brainly.com/question/10417664

3 0
2 years ago
6 &gt; 3p + 9<br> could u also show work
ddd [48]

Answer:-1>p

Step-by-step explanation:

6>3p+9

-9 -9

-3>3p

Divide by 3 on each side

-1>p

4 0
2 years ago
Read 2 more answers
Miquel created the table below to show how he uses the money he earns at work
lara [203]

<u>Complete Question with table is attached</u>

<u>Answer:</u>

Miguel will save money of $90 if he earns $120.00

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

The figure attached clearly shows the ratio of his earnings and savings. We have to find what would be the savings amount if he earn $120.00. So, first we have to calculate the percentage of ratio of his earnings and savings. As per the data given in the figure,

If he earns $10.00, he saves $7.50, calculate %amount he saves as below,

           \frac{\$ 7.50}{\$ 10.00} \times 100=0.075 \times 100=75 \%

Likewise, calculate for all given data. If he earns $50.00 then he saves $37.50

           \frac{\$ 37.50}{\$ 50.00} \times 100=0.75 \times 100=75 \%

If he earns  $150.00 and save $112.50,

           \frac{\$ 112.50}{\$ 150.00} \times 100=0.75 \times 100=75 \%

So, from all above, it clearly tells that Miguel saves 75% of amount from his earnings. Now, given earnings as $120.00. By finding 75% of $120.00, we can find his savings in that amount. So,

             \frac{75}{100} \times \$ 120=0.75 \times 120=\$ 90

6 0
3 years ago
Read 2 more answers
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