An equilateral triangle has a perimeter of 60m and a height of 17.3m. what is its area?

Answers

Answer 1

Answer:
The area of any triangle is (1/2) x (length of the base) x (height) .

In this problem, we know the triangle's height,
but what is the length of the base ?

The base is the side that the triangle is sitting on. This particular triangle
is an equilateral one, and its perimeter is 60m. So each side must be 20m.
No matter which side the triangle is sitting on, the length of the base is 20m.

Area = (1/2) x (base) x (height)

Area = (1/2) x (20m) x (17.3m) = 173 m²

Answer 2

Answer: Divide 60/3 so you get 20. So take 20x17.3 and you should get 346m∧2

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Subtract 10x + 7y from -15x+6y

Answers

Step-by-step explanation:

= -15x+6y-(10x+7y)

= -15x+6y-10x-7y

= -25x-y.

Answer: 4

Step-by-step explanation:

10 + 7 = 17

15 + 6 = 21

21 - 17 = 4

I don’t know but wanted to try it might not be right

10 times the square of a nonzero number is equal to 90 times the number. whats the number?

Answers

9 because 10 times 9 is 90 and if you divide 90 by 10 you get 9

10n^2 = 90n
n^2 = 9n
n = 9

Hope this helps with your question.

What number is midway between 2/3 and 1?

Answers

5/6 is about midway through 2/3 and 1. It helps if you lay everything out in a number line like below:

0______________1/4______________ 2/4______________3/4___________1

0____________________1/3___________________2/3________________ 1

0________1/6________ 2/6________3/4_________4/6________5/6_______1

Additionally, 2/3 = .66 so the distance from 2/3 to 1 is approximately .34. If you divide that by 2 to see what the middle is you get .17, which you then add to .66.

.66 + .17 = .83

.83 = 5/6

Answer:

5/6

Step-by-step explanation:

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of senior citizen ticket and one student ticket?

Answers

The price of senior citizen ticket is 8 and price of student ticket is 14.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the price of senior citizen ticket

y be the price of student ticket.

On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102.

4x+5y=102..(1)

The school took in $126 on the second day by selling 7 senior citizen tickets and 5 studenttickets.

7x+5y=126..(2)

Subtract equation 1 and 2

4x+5y-7x-5y=102-126

-3x=-24

Divide both sides by 3

x=8

Now let us find y

4(8)+5y=102

32+5y=102

Subtract 32 from both sides

5y=102-32

5y=70

y=14

Hence, the price of senior citizen ticket is 8 and price of student ticket is 14.

To learn more on Equation:

brainly.com/question/10413253

#SPJ3

Let:
x = cost of senior citizen ticket
y = cost of student ticket

4x + 5y = 102
7x + 5y = 126

4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4

7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4

note:
-35y/4 = -8.75y
714/4 = 178.5

-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14

x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8

x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea

Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fireballs and Gummi Bears. Atomic Fireballs cost $4.25 per pound and Gummi Bears were on sale for $1.25 per pound. Juan spent a total of $14.75, before taxes. Let x represent the number of pounds of Atomic Fireballs and y represent the number of pounds of Gummi Bears uan purchased. Which of the following graphically represents this situation?

Answers

Answer:

The 2nd graph correctly represents the situation.

Step-by-step explanation:

Let the number of Atomic Fireballs= x and the number of Gummi bears= y.

Now, Juan purchased total 7 pounds of candies.

So, $x+y=7$

Also, the cost of Atomic Fireballs and Gummi bears is $4.25 and $1.25 per pound respectively.

Since, Juan spent total $14.75 before taxes.

Then, $4.25x+1.25y=14.75$

That is, the system of equations is given by,

$x+y=7$

$4.25x+1.25y=14.75$

Plotting the equations, we get that,

The 2nd graph shown below correctly represents the situation.

The answer is the graph on picture #2.

The Q says for fireballs to be x and gummy bears to be y. So they correspond to their axis. Knowing this you get rid of the last 2 graphs. When you plug in these vertexes into the equations, the only right answer is the graph in picture 2.

The Roth family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. If their total liabilities increase by $7,000 over the next year, by how much would the Roth family need to increase their assets in order to have a net worth of $100,000?

Answers

Assets=liability+owners equity
(10000+150000+34000)=(108000+7000)+100000
194000=115000+100000
194000=215000
194000+21000=215000
215000=215000
So the answer is 21000

Answer: C. $21,000

Step-by-step explanation:

edge 2021

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