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Novay_Z [31]
3 years ago
6

Consider the triangle shown. If the perimeter of the triangle is 57, what is the length of the shortest side of the triangle?

Mathematics
1 answer:
sesenic [268]3 years ago
5 0

Hey there ..!!

There is no figure here ..

Please attach the figure too ..

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A 4 meter long ladder leans against a 90 degree wall at a 68 degree angle.
Alenkinab [10]

Answer:

Step-by-step explanation:

We use trig to answer these questions:

sin x = opposite side of a triangle / hypotenuse

cos x = adjacent side / hypotenuse

Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.

The height of the top of the ladder  is then defined by:

sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =

3.71 m

and the distance of the bottom of the ladder from the wall as follows:

cos 68 degrees = horizontal distance / hypotenuse =

1.50 m

3 0
3 years ago
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).
Phoenix [80]

Answer:

y=20(2)^x

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

y=ab^x

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

20=a(b)^0

Simplify:

20=a(1)\Rightarrow a=20

So, our exponential function is now:

y=20(b)^x

Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

1280=20(b)^6

Solve for <em>b</em>. Divide both sides by 20:

64=b^6

Therefore:

b=\sqrt[6]{64}=2

Hence, our function is:

y=20(2)^x

8 0
3 years ago
Easy problem nice about of points
bezimeni [28]

Answer:

1

Step-by-step explanation: i am not sure

6 0
3 years ago
What is the distance between the two points loacted at 3 , 8 and 10 , 8
damaskus [11]

Answer:

Step-by-step explanation:

d=(10-3)^2+(8-8)^2=(7)^2+(0)^2=49

since it is in radical the the answer is 7

4 0
3 years ago
Read 2 more answers
Is 14/35 and 21/42 proportional
PIT_PIT [208]
1.Simplified each one 
2/5 (both divided by 7) ,  1/2 (divided by 21)
2.Make them into integer
(2/5 )*(2/2)=4/10    ,    (1/2)*(5/5)=5/10
Now the dominators are the same ,you can just compare the numerators. It is 4:5
8 0
3 years ago
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