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omeli [17]
3 years ago
8

an equilateral triangle has a side length of 20 feet. determine the length of an altitude of the triangle

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

Answer:

20 feet

Step-by-step explanation:

I believe that since it is an equilateral triangle, all sides are equal, making 20=20

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Help picture below problem 12
inysia [295]

Answer:

124°

Step-by-step explanation:

Not the best at explaining but should be equal to 180 straight across. You have to find the missing angle. You know the right angle is 90° so you will add 34° to get 124°. 180-124 will get you 56°. Straught across you have the angle that you are trying to find which is 124° because 180-56 is 124.

8 0
2 years ago
iris charges a fee for her consulting services plus an hourly rate that is 1 1/5 times her fee on a 7 hour job and iris charged
Veronika [31]
Based on the given problem above, here is the solution.
Given: Iris's charge: 470
           1 1/5 times her fee: additional hourly rate
           ? = fee for an hourly rate
What we need to do first is divide 470 by 7 hours, so 470/7 = 67.143/hour.
So Iris's per hour is 67.143 without the additional rate.
Now, let's look for the 1 1/5 of 470. 1 1/5 is equal to 1.2. So 470 x 1.2 = 564.
To get the total fee of her hourly rate, we add 67.143 and 564, so Iris's hourly rate then is 631.143 or 631.14.
5 0
3 years ago
The sides of a triangle are 1, x, and x2. what are possible values of x?
Whitepunk [10]
The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a):  x < 1,
      Then in decreasing size, the lengths are 1, x, and x².
      We require that x² + x ≥ 1
      Solve x² + x - 1 = 
      x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
      Reject the negative length.
     Therefore, the lengths are 0.382, 0.618 and 1.

Case (b): x = 1
   This creates an equilateral triangle with equal sides
    The sides are 1, 1 and 1.

Case (c): x>1
  In increasing order, the lengths are 1, x, and x².
  We require that x + 1 ≥ x²
  Solve x² - x - 1 = 0
  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

7 0
3 years ago
Anyone know the answer?
Brut [27]
Check out the picture I've got the full explanations on there
Hope it's clear

4 0
3 years ago
Why is 3÷0.5 is 6, why is it?​
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

A quick way to divide by 0.5 or ½ is to double the number (or multiply number by 2). The reason for this is that two halves go into a whole.

3 0
2 years ago
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