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3 years ago

What is the length of the hypotenuse in the following figure.

Mathematics

1 answer:

katrin2010 [14]3 years ago

7 0

Answer:

The length is obviously 5

Step-by-step explanation:

If u did not know it and it was not written u would do 4 squared + 3 squared = 25 and then the square root of 25 which is 5

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Find the real numbers x and y that make the equation true (5-2i)-7=x-(3-yi)

marin [14]

Answer:

x=1 and y=-2

Step-by-step explanation:

5-2i-7=-2-2i

x-(3-yi)=x-3+yi

we write this equation -2 - 2i = (x-3) +yi

so -2=x-3 and -2i=yi

+3 +3 :i :i

1=x -2= y

so x=1 and y= -2

3 0

4 years ago

A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

Over the summer, for every 14 okra seeds Dana planted, 9 grew into plants. If he planted 210 okra seeds, how many grew into plan

Katena32 [7]

210s(9p/14s)=135p

So 135 seeds grew into plants.

8 0

4 years ago

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Kenji baked 1 brownie with nuts on top and 14 brownies without nuts. What is the ratio of the number of brownies with nuts on to

r-ruslan [8.4K]

Answer:

1:14

Step-by-step explanation:

1 with nuts

14 without nuts

The ration has to be: w:wo

So 1:14

HOPE THIS HELPS!!!

4 0

4 years ago

Which of these is NOT a function ?

Kazeer [188]

Answer:

Step-by-step explanation:

it fails the vertical line test

7 0

3 years ago

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