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katrin [286]
3 years ago
5

A Parallelogram whose vértices have coordinates r(1,-1) s(6,1) t (8,5) u 3,3 have a shorter diagonal

Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer:

The two shortest diagonals seems to be RU and TS. A further explanation is provided below.

Step-by-step explanation:

The given coordinated are:

r = (1, 1)

s = (6, 1)

t = (8, 5)

u = (3, 3)

Now,

The distance between RU will be:

= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

On putting the values, we get

= \sqrt{(3-1)^2+(3+1)^2}

= \sqrt{(2)^2+(4)^2}

= \sqrt{4+16}

= \sqrt{20}

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The seating capacity of a theater is 250. Tickets are $3 for children and $5 for adults. The theater must take in at least $1100
maksim [4K]

Answer:

x + y ≤

3x + 5y ≥ 1100

Step-by-step explanation:

Given:

Seating capacity of theater = 250

Cost of each child ticket = $3

Cost of each adult ticket = $5

Cost per performance = $1100 at least

Find:

System of inequalities

Computation:

Let;

x = Number of children's tickets

y = Number of adult tickets

So

x + y ≤

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3 years ago
SOMEONE HELP ME PLS<br><br> Solve for x.
faltersainse [42]

Answer:

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Step-by-step explanation:

There is a geometry rule that states the outer angle of a triangle's interior angle is equivalent to the sum of the remaining two interior angles of the triangle. Following this rule, you can get that (6x + 8) + (5x + 8) = 82° ⇒ 11x + 16 = 82° ⇒ 11x = 66° ⇒ x = 6°.

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Step-by-step explanation:

8 0
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svet-max [94.6K]
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Suppose that $1200 is invested at 612%, compounded quarterly. How much is in the account at the end of 5 years?
asambeis [7]

Answer:

\$1,656.50  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$1,200\\ r=6\frac{1}{2}\%=6.5\%=6.5/100=0.065\\n=4  

substitute in the formula above

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3 years ago
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