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4 years ago

11

a triangle has one side which is 1 foot long and another side which is 2 feet long. write a value that could be the length of th

e third side in feet

1 answer:

Tpy6a [65]4 years ago

3 0

Answer:

The Square Root of 5

Step-by-step explanation:

If side a = 1

and side b = 2

According to Pythagorean Theorem, a^2+b^2=c^2, the answer would be:

1^2+2^2=c^2

1+4=c^2

5=c^2

c=the square root of 5

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If an object is propelled upward from a height of 72 feet at an initial velocity of 90 feet per second, then its height h after

kifflom [539]

Answer:

6.34 seconds.

Step-by-step explanation:

The object will hit the ground when h = 0.

-16t^2 + 90t + 72 = 0

8t^2 - 45t - 36 = 0

We can then use the quadratic formula to solve.

[please ignore the A-hat; that is a bug]

$\frac{45±\sqrt{45^2 - 4 * 8 * -36} }{2 * 8}$

= $\frac{45±\sqrt{2025 + 1152} }{16}$

= $\frac{45±\sqrt{3177} }{16}$

= $\frac{45±56.36488268}{16}$

(45 - 56.36488268) / 16 = -0.7103051678

(45 + 56.36488268) / 16 = 6.335305168

Since the time cannot be negative, the object will hit the ground after about 6.34 seconds.

Hope this helps!

4 0

3 years ago

If z = (5 + 12i) ÷ (3 + 4i), then |z| = _____.<br><br> 5/13<br> 1(2/3)<br> 2(3/5)<br> 3

Marta_Voda [28]

$\dfrac{5+12i}{3+4i}=\dfrac{5+12i}{3+4i}\cdot\dfrac{3-4i}{3-4i}=\dfrac{15-20i+36i-49i^2}{3^2-(4i)^2}\\\\=\dfrac{15+16i+49}{9-16i^2}=\dfrac{64+16i}{9+16}=\dfrac{64+16i}{25}=2.56+0.64i$

$z=a+bi\\\\|z|=\sqrt{a^2+b^2}\\\\z=2.56+0.64i\to a=2.56;\ b=0.64\\\\|z|=\sqrt{2.56^2+0.64^2}=\sqrt{6.9632}=\sqrt{\dfrac{69632}{10000}}=\sqrt{\dfrac{4096\cdot17}{100}}\\\\=\dfrac{64\sqrt{17}}{100}=0.64\sqrt{17}\approx2.6=2\dfrac{3}{5}$

3 0

3 years ago

Read 2 more answers

Pls help me with this

NemiM [27]

Answer:

I think it's the fourth option because building bridges and caring for cats need time and skill.

Step-by-step explanation:

7 0

2 years ago

24-5₂<br><br> Sorry i tried to put the 2 at the top edge of the 5 but i could not.

Archy [21]

Explanation in this file

\\Workhelp2gow//.com

5 0

3 years ago

John sells seven cookies for $5.39. Write an equation that represents John's sales for any number of cookies.

nikitadnepr [17]

$5.39 × 7 = $37.73

I hope this helps! ^^

8 0

4 years ago