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omeli [17]
3 years ago
7

Find the output, d, when the input, t, is 11. d = -20+11t d= __

Mathematics
2 answers:
Ymorist [56]3 years ago
6 0

Answer:

d = 101

Step-by-step explanation:

d = -20 + 11t         Substitute 11 for t in the equation

d = -20 + 11(11)      Multiply in the parentheses

d = -20 + 121           Add

d = 101

mafiozo [28]3 years ago
4 0
Substitute the given value into the equation


-20 + 11*11

Using BODMAS, you do 11*11 first, which is 121


-20+121

Which is 101

Therefore, d is equal lot 101
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6 0
3 years ago
Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!
Mila [183]

Answer:

ΔABC ~ ΔDEF

Step-by-step explanation:

If the given triangles ΔABC and ΔDEF are similar,

Their corresponding sides will be proportional.

\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}

By substituting the measures of the given sides,

\frac{4}{2}=\frac{6}{3}=\frac{2}{1}

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF

8 0
3 years ago
Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian
mart [117]

Answer:

The area is 11317.51

Step-by-step explanation:

The sum of 2 sides must be less than the third side (largest side) for a triangle to be formed.

b+c<a

133+174 < 240

A triangle can be formed

To use Herons formula for the area

We find S = 1/2( a+b+c)

                 = 1/2(240+133+174)

                 =  1/2 (547)

                     = 273.5


Area = sqrt( S (S-a) (S-b)(S-c))

           sqrt((273.5 ) (273.5 -240) (273.5-133) (273.5-174))

           sqrt((273.5)(33.5) (140.5) (99.5))

            sqrt(128085964.4)

           11317.50699

The area is 11317.51

5 0
4 years ago
Tickets to a football game cost 5$ for students and 7$ for adults. write and solve a system of equations to determine the number
stepan [7]

Answer:

x + y = 680

5x + 7y = 3914

Step-by-step explanation:

Let the amount of students who purchased tickets equal x.

Let the amount of adults who purchased tickets equal y.

If you add the amount of adults and students, you get the total amount of people:

x + y = 680

Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:

5x + 7y = 3914

These are the two equations:

x + y = 680

5x + 7y = 3914

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