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tino4ka555 [31]
3 years ago
10

1 What is the slope of this table? A 4 B 9 C 1 D 8

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

I think its B (Tell me if its wrong ill change it)

Step-by-step explanation:

SashulF [63]3 years ago
6 0

Answer:

D. 8

y-intercept is 1

Step-by-step explanation:

Slope = rise/run, y-intercept is what (y) equals when (x) equals 0

Slope = 8, y-intercept is 1

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Free fall reaches 216km per hour. What is rate in meters per second.? How many meters fall during 20 seconds free fall?
lakkis [162]

Given,

Rate of free fall = 216 km/h

Solution,

km/h to m/s is converted as follows :

216\ \dfrac{km}{h}=216\times \dfrac{1000\ m}{3600\ s}\\\\=60\ m/s

So, the rate of fall is 60 m/s.

If t = 20 s

Assume, initial velocity = 0

It will move under the action of gravity.

Using equation of motion,

h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m

Hence, this is all for the solution.

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6

Step-by-step explanation:

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A perfectly straight 24 ft tall tree grows on the edge of the bank of a 45 foot wide river. A bird sitting at the top of the tre
True [87]

Answer:

Distance covered by the bird before meeting the water is: 51.264 ft

Step-by-step explanation:

Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:

distance=Vel\,* time=3\,\frac{ft}{s} *\,2\,\,s=6 \,\,ft

So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.

Such hypotenuse is (using Pythagoras theorem):

hyp =\sqrt{(60\,ft)^2+(22.5\.ft)^2} =\sqrt{4106.25} \,ft=64.08\,ft

Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.

The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:

So we make the proportion between known legs, and hypotenuses:

\frac{24\,ft}{30\,ft} =\frac{D}{64.08\,ft} \\D=\frac{64.08\,ft\,*\,24\,ft}{30\,ft} \\D=51.264\,ft

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