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3 years ago

What is the length of the hypotenuse

Mathematics

2 answers:

Licemer1 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81+144 = c^2

225 = c^2

15 = c

Viefleur [7K]3 years ago

4 0

Answer:

15ft

Step-by-step explanation:

a^2 + b^2 = c^2

12 or 9 can equal to b or a

12^2 + 9^2 = c^2

144 + 81 = c ^2

225 = c^2

Square root of 225

15 = c

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Which mixed number correctly describes the shaded area of the fraction bars when each bar represents 1 whole?

ycow [4]

Answe5r:

Step-by-step explanation:

5 0

2 years ago

Twice a number is 27 more than half the number. What is the number?

levacccp [35]

twice a number: 2x

is 27 more than half the number: 1/2x

2x = 1/2x + 27

Isolate the x. Subtract 1/2x from both sides

2x (-1/2x) = 1/2x (-1/2x) + 27

2x - 1/2x = 27

1.5x = 27

Isolate the x. Divide 1.5 from both sides

1.5x/1.5 = 27/1.5

x = 27/1.5

x = 18

18 is the number

hope this helps

7 0

3 years ago

Read 2 more answers

On Day 16 (in Segment 5), Ebony deposited $100 into her account. On each day after Day 16 (Segment 6) Ebony made a deposit, and

Ilya [14]

Answer:

Less than $100

$B(21)=300$

For each day after Day 16, Ebony deposited $40.

Step-by-step explanation:

We know that on Day 16 she deposited $100 into her account.

And each day after Day 16, she made a deposit and each deposit were equal to each other.

So, let's answer each of the questions using the available information.

Part A)

Notice that the 5th Segment starts and ends with the 5th to the 6th Point. The 6th Point represents the 16th Day, where B(16)=100.

We want to know whether or not each of her deposits after Day 16 were less than, equal to, or greater than $100.

We can immediately conclude that it must be less than $100 because we can see that the slope of the 6th Segment is less steep than the slope of the 5th Segment.

Since it is less steep, this means that the unit rate of change from each day after Day 16 is less than the unit change on Day 16, which is $100/day.

So, the each of the deposits made after Day 16 is less than $100.

Part B)

We want to estimate B(21) in hundreds.

Remember that Ebony's maximum balance is $400.

Also, recall that the first point is $200.

B(21), the 7th Point, seems to be between the 2nd/3rd Point and the 1st Point.

So, it is reasonable to say that at the 21st Day, her account balance was (200+400)/2=600/2=$300.

We know that at Day 16, her account balance was $100. So, we have the point (16, 100).

And at Day 21, her account balance is $300. So, (21, 300).

Since each deposit after Day 16 is the same, it has a constant rate of change. So, we can use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (16, 100) be (x₁, y₁) and let (21, 300) be (x₂, y₂). Substitute them into the slope formula. This yields:

$m=\frac{300-100}{21-16}$

Subtract and divide. So:

$m=\frac{\$200}{5\text{ days}}=\$40\text{/day}$

So, for each day after Day 16, Ebony deposited $40.

And we're done!

8 0

3 years ago

Please help!!

alexandr1967 [171]

Look at ∠A, the angle which resides on (1, 3). If we count 5 units down, you find the other endpoint on side AC. Hence, the length of side AC is 5 units. This figure is equal to the height of the graphed triangle.

If we mirror this process with the figure representing the triangle's length, side BC, we get 4 units.

The formula for calculating a triangle's area is $\frac{1}{2}bh$ . In this context, the base of the triangle is the same as the length. Now, let's plug in the base and the height.