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3 years ago

What is the Area of a right triangle as a function of the base b if the base of the triangle is twice its height?

1 answer:

5 0

The base is twice the height, or b = 2h. So, h = b/2. The area of a right triangle is (1/2)*b*h, and replacing h with b/2 you have (1/2)*b*(b/2), or (1/4)*b^2.So to write this it is<span> A(b) = (1/4)*b^2 for b >= 0</span>

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what is the total cost of a meal if the food cost $25 and there is a food tax of 3% and the waiter is tipped 15% of the food cos

Degger [83]

Answer:

$30

Step-by-step explanation:

If $25 is 100%,

$2.5 is 10%

$0.25 is 1%

$3.75 is 15%

$0.75 is 3%

Then add $25, $3.75 and 0.75 which is also equivalent to 100%+15%+3%=29.5 and if you rounded it up to the nearest cent it is 30

4 0

3 years ago

In contract negotiations between a local government agency and its workers,

Liono4ka [1.6K]

Answer:

a. 0.4

b. Not independent.

Step-by-step explanation:

a. We use the probability table attached below for our calculations.

-the probability that an agreement is reached on both sides is obtained from the table:

$P(Agreement)=\frac{400}{1000}\\\\\\=0.4$

b. To determine whether the two events are independent, we compare the probabilities $P(s)\times P(i)$ and $P(s \ and \ i)$ where i denotes insurance and s denotes salaries:

$P(s)\times P(i)=0.5\times 0.7\\\\=0.35\\\\\\P(s \ and \ i)=0.4$

Two events are considered to be independent, if and only if:

$P(A).P(B)=P(A\ and \ B)\\\\=>P(s).P(i)\neq P(s\ and\ i)$

Hence, the events are not independent.

8 0

3 years ago

The sum of two numbers is 21. The larger number is 6 less than two times a number. What are the two numbers?

vovangra [49]

<h3><u>The value of the smaller number, y, is equal to 9.</u></h3><h3><u>The value of the larger number, x, is equal to 12.</u></h3>

x + y = 21

x = 2y - 6

We have a value for x, so we can plug it into the original equation to solve for y.

2y - 6 + y = 21

Combine like terms.

3y - 6 = 21

Add 6 tot both sides.

3y = 27

Divide both sides by 3.

y = 9

Now that we have a value for x, we can plug it into the 2nd equation to solve for x.

x = 2(9) - 6

x = 18 - 6

x = 12

3 0

3 years ago

Thank y’all guys look at the change <br> Love you all bro max respect

Pie

Answer:

congrats

Step-by-step explanation:

8 0

3 years ago

3. If Earth was 10 times farther away from the sun than it is now, which planet would it be closest to? (Assume all the planets

k0ka [10]

The earth is approximately 93,000,000 miles from the sun. If it were 10x further, it would be 930,000,000

That would place it closest to Saturn which is about 890,000,00 miles away from the sun.

4 0

3 years ago