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stiks02 [169]
3 years ago
8

Find the missing length.C= ✓ [?]26Pythagorean Theorem: a2 + b2 = c2​

Mathematics
1 answer:
mash [69]3 years ago
3 0

Answer:

c = 6.32

Step-by-step explanation:

{a}^{2} +   {b}^{2}  =  {c}^{2}  \\  {2}^{2}  +  {6}^{2}  = {c}^{2}  \\ 4 + 36 =  {c}^{2}  \\ 40 =   {c}^{2}  \\ c =  \sqrt{40}  \\ c = 6.32

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A soccer ball was kicked in the air and follows the path h(x)=−2x2+1x+6, where x is the time in seconds and h is the height of t
madam [21]

The ball will hit the ground at 2 seconds.

Step-by-step explanation:

Given that,

The path of the ball = h(x)=−2x2+1x+6

Here,

x is the time while h is the height of ball.

When the ball will hit the ground, the height will become zero. Therefore,

h(x)=−2x2+1x+6

0 =−2x2+1x+6

or

2x2 -1x - 6 = 0

This is a quadratic equation, hence by applying quadratic equation formula:

x = \frac{-b +- \sqrt{b^{2} - 4ac }   }{2a}

here,

a = 2

b = -1

c = -6

Putting these values in formula, we get

x = \frac{-(-1) +- \sqrt{-1^{2} - 4.2.-6 }   }{2.2}

x = \frac{1 +- \sqrt{1 + 48 }   }{4}

x = \frac{1 +- \sqrt{49 }   }{4}

x = \frac{1 +- 7   }{4}

x = 2, -3/2

As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.

6 0
4 years ago
Read 2 more answers
A novel is 11/16 inch thick. If there are two shelves, each 99 inches wide, how many novels will be able to fit on the two shelv
34kurt
First let's just combine the shelves to make it easier. 99 + 99 = 198.

We can simply divide 198 by 11/16 to get the answer. First let's convert 11/16 to a decimal.

11 divided by 16 is 0.6875

So 198 divided by 0.6875 is 288.

288 novels can fit on both the shelves.
8 0
3 years ago
Identify the inequality that represents the following problem
ValentinkaMS [17]

Answer:

3n + 2 \geqslant 8

Step-by-step explanation:

2 more than 3 time mean 3n+2

"is atleast 8" means it can be 8 or more so c. is right answer

5 0
3 years ago
The scatter plot shows the systolic blood pressure of people of several different ages. The equation represents the linear model
elena-14-01-66 [18.8K]

Answer: 95 mm Hg


Step-by-step explanation:

Given: The equation represents the linear model for the data is

y=x+95

Since, age is an independent quantity whereas blood pressure is dependent quantity.

Thus, y represents the  the systolic blood pressure of people of several different ages (x).

Now, the age of new born baby =0

Substitute x=0 in the equation , we get y=95

Hence, The systolic blood pressure of new born baby = 95 mm hg

5 0
4 years ago
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Which is greater .83 or .083?
Serggg [28]
.83 is greater .038 is in the thousands place and .83 is in the hundreds hope this Helped :D
8 0
3 years ago
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