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Korolek [52]
3 years ago
9

For the triangle shown, describe which sides are the legs and which are the hypotenuse. Explain how you know.

Mathematics
2 answers:
Alina [70]3 years ago
8 0

Answer:

a and b are the legs, and c is the hypotenuse

Step-by-step explanation:

The legs of a right triangle are always the sides that form the right angle. Looking at the picture, we see that at one corner of the triangle, there's a little square. Remember that this little square always denotes an angle with degree 90, which means this is the right angle. Then, since sides a and b form this angle, we know that a and b are the legs.

Another thing to remember is that the hypotenuse of a right triangle is the side that lies opposite to the right angle. Here, you can see that side c lies opposite to the right angle, so we know it's the hypotenuse.

Hope this helps!

Alex Ar [27]3 years ago
7 0

Answer:

legs: a and b

hypotenuse: c

Step-by-step explanation:

The legs of a right triangle are the two sides that intersect to determine the right angle. The  remaining side is called the hypotenuse.

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Write a quadratic function to model the vertical motion for each​ situation, given ​h(t) equals negative 16t squared plus v0t+h0
Mashcka [7]

Answer:

hmax = 194 ft

The maximum height is 194 ft

Step-by-step explanation:

According to the given equation for the model of the vertical motion. The height at any point in time can be written as;

h(t) = -16t^2 + v0t + h0 .......1

Where;

h(t) = height at time t

t = time

v0 = initial velocity = 96 ft/s

h0 = initial height = 50 ft

To determine the maximum height we need to differentiate the equation 1 to find the time at which it reaches maximum height;

At the highest point/height h' = dh/dt = 0

h'(t) = -32t +v0 = 0

-32t + v0 = 0

t = v0/32

t = 96/32

t = 3 s

At t=3 it is at maximum height.

The maximum height can be derived from equation 1;

Substituting the values of t,v0,h0 into equation 1;

h(t) = -16t^2 + v0t + h0 .......1

hmax = -16(3)^2 + 96(3) + 50 = 194 ft

hmax = 194 ft

The maximum height is 194 ft

5 0
4 years ago
3. You sell storm windows and doors. You receive a straight
OLEGan [10]

Answer:

\$3886.8

Step-by-step explanation:

Commission received on selling each storm window =8\% of the selling price of each storm window

Commission received on selling each door =12\% of the selling price of each door

Amount earned on selling storm windows = $5,400

Amount earned on selling doors = $28,790

Commission received on selling storm windows =\frac{8}{100}(5,400)=\$432

Commission received on selling doors =\frac{12}{100}(28,790)=\$3454.8

Therefore,

Total  commission received =432+3454.8=\$3886.8

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