All categories

2 years ago

For the following right triangle, find the side length . Round your answer to the nearest hundredth

Mathematics

1 answer:

vlada-n [284]2 years ago

4 0

Step-by-step explanation:

Since we have 90° angle that means that side opposite of it is hypotenuse, so it goes:

a=10cm b=6 c=?

${a}^{2} = {b}^{2} + {c}^{2}$

${10}^{2} = {6}^{2} + {c}^{2} \\ \\ 100 = 36 + {c}^{2} \\ \\ {c}^{2} = 100 - 36 \\ \\ {c}^{2} = 64 \\ c = \sqrt{64} \\ c =8$

You might be interested in

A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500

Vedmedyk [2.9K]

Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking, $\frac{d(w)}{dt}$ = 3 ft/sec

Rate at which the man is walking, $\frac{d(m)}{dt}$ = 2 ft/sec

Collective rate of both, $\frac{d(m+w)}{dt}$ = 5 ft/sec

Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min

Now,

Distance traveled by man and woman are $m$ and $w$ ft respectively.

⇒ $m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft$

⇒ $w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\ ft$

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate $\frac{dh}{dt}$ .

Lets calculate h.

Applying Pythagoras formula.

⇒ $h^2=(m+w)^2+500^2$

⇒ $h=\sqrt{(2400+2700)^2+500^2} = 5124.45$

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ $h^2=(m+w)^2+500^2$

⇒ $2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt} + \frac{d(500)}{dt}$

⇒ $\frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}$ ...as $\frac{d(500)}{dt}= 0$

⇒ Plugging the values.

⇒ $\frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}$ ...as $\frac{d(m+w)}{dt} = 5$ ft/sec

⇒ $\frac{d(h)}{dt} =4.9761$ ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

3 0

2 years ago

Plz help me it's very important I pass

Elis [28]

The answer is 30%) because all the angles of a triangle needs to add up to 180 so 180-75-75= 30

6 0

3 years ago

Question and Answers below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇

Aleks04 [339]

Answer:

72 $yd^{3}$

Step-by-step explanation:

Volume for a triangular prism = $\frac{1}{2}$ a · c · h

A = Height. C = Width. H = Length.

A = 3 yd. C = 8 yd. H = 6 yd.

V = 114 yd.

V = 114 yd ÷ 2 yd = 72 $yd^{3}$ .

5 0

2 years ago

In which direction does the head of the molecules of the plasma membrane face?

kiruha [24]

Answer:

toward the outside

Step-by-step explanation:

The plasma membrane is composed of the phospholipid bilayer and cholesterol.The phospholipids have a head and two tails.The head is water loving, hence it is termed as polar/hydrophilic.The tails are nonpolar/ water fearing/hydrophobic.Both inside and outside the cell, water is vital thus the phospholipid line up in two layers where the head points outwards and the tails hidden in the middle.

6 0

2 years ago

Read 2 more answers

Question 5 (2 points)

ollegr [7]

Answer:

c cuh

Step-by-step explanation:

(idk the answer)

4 0

2 years ago