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diamong [38]
2 years ago
6

Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shap

e of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle? (2 points)
Mathematics
1 answer:
nordsb [41]2 years ago
3 0

Answer:

The converse of Pythagorean Theorem states:

<em>If the square length of the longes side of a triangle is equal to the sum of the squares of the other two sides, then it's a right triangle.</em>

<em />

We use the converse of Pythagorean Theorem to prove that a triangle is a right triangle. It's like the inverse use of the theorem. Often, this theorem is used to find the length of a side of a triangle when we already know it's a right triangle. However, when we don't know that is a right triangle, we use the converse to prove it.

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Question 57 need help
prisoha [69]
Okay so first we need to find the height ofn one hay barrel. To do this we must use the equations v= h×w×l

We already know 3 out of the 4 variables in the equations, in this case we are given the volume so we must work backwards.

The equation will look like this:
10 \frac{2}{3}    = h \times (1  \frac{1}{3} ) \times 4
First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
10 \frac{2}{3}  = h \times  \frac{16}{3}
Next divide 16/3 from h then from 10 2/3 to get :
2 = h
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.
8 0
3 years ago
Read 2 more answers
Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the ans
slava [35]

Answer

probability of greater than 3 is 60%

not 5,6,7 or 8 is 60%

8 0
2 years ago
You are drawing a map. Two cities on the map are 7 inches apart. You know the actual distance between them is 1,750 miles. What
swat32

Answer:

  • 1 inch : 250 miles
  • 1/15,840,000

Step-by-step explanation:

Map scale factors are usually written a couple of different ways. One of them is the number of miles represented by 1 inch. Here, that is ...

  1750 mi/(7 in) = 250 mi/in

Written that way, the scale factor is 1 in : 250 miles.

__

The other way the scale factor can be written is as a unitless ratio. That ratio is ...

  \dfrac{1\,\text{in}}{250\,\text{mi}}\times\dfrac{1\,\text{mi}}{5280\,\text{ft}}\times\dfrac{1\,\text{ft}}{12\,\text{in}}=\dfrac{1}{250\cdot 5280\cdot 12}=\dfrac{1}{15,840,000}

The map scale factor is 1 in : 250 miles, or 1/15,840,000.

5 0
3 years ago
Read 2 more answers
If sin x=2/9,x, in quadrant i, then find(without findingx): sin(2x), cos(2x), tan(2x)
Sergio039 [100]
We have that
<span>sin x=2/9

we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)

Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43

Sin 2x=0.43
so
cos² 2x=1-sin² 2x---------> 1-[0.43]²-----> 1-[0.1878]----> 0.81
cos² 2x=0.81-----------> cos 2x=0.9

tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48

the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48


8 0
3 years ago
Point Farmer Ed has 60 feet of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not f
miskamm [114]

Answer:

Farmer Ed has 60 feet of fencing; and wants to enclose rectangular plot that borders on river: If Farmer Ed does not fence the side along the river; find the length and width of the plot that will maximize the area_ What is the largest area that can be enclosed? What width will maximize the area? The width, labeled x in the figure. (Type an integer or decimal ) What length will maximize the area? The length, labeled in the figure, is (Type an integer or decimal ) What is the largest area that can be enclosed? The largest area that can be enclosed is (Type an integer or decimal.)

You have 120 feet of fencing to enclose a rectangular plot that borders on a river.

7 0
2 years ago
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