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Darina [25.2K]
2 years ago
12

Can the sides of a triangle have lengths 1, 8, and 9?

Mathematics
1 answer:
Svetllana [295]2 years ago
8 0

Answer:

no

Step-by-step explanation:

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7th-grade math help me, please :(
IgorC [24]

Answer:

71 remainder 80

Step-by-step explanation:

\frac{28480}{400}=71\:remainder\:80\\\\\frac{28480}{400}=71\frac{80}{400}\\

7 0
2 years ago
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Identify the constant term in this expression. 25x + 9y + 20 + 2y
kvv77 [185]
20

Constant in a mathematical expression is a term whose value never changes.
The terms with x and y will vary based on the variable x and or y.
7 0
3 years ago
Q # 6 please help to resolve
Rus_ich [418]
The numbers of choices in each category are multiplied together. We assume the order of paint choices matters: using color 1 in area A and color 2 in area B is not the same as using color 2 in area A and color 1 in area B.

P(7,2)*4*3*2 = 42*4*3*2 = 1008 ways

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P(n, k) = n!/(n-k)!
P(7, 2) = 7*6 = 42
4 0
2 years ago
When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100
ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>  

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10  

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

\bf 1,000*(1.09)^2+10(1+1.09)

<u>End of year 3 (capital + interest + new deposit)</u>

\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)

and we can see that at the end of year 50, the future value is

\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}

The sum  

\bf 1+1.09+(1.09)^2+...+(1.09)^{49}

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356

and the future value is then

\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564

The <em>present value PV</em> is

\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62

rounded to the nearest hundredth.

5 0
3 years ago
5 In a group of 80 animals, 32 are dogs. Dogs make up<br> what percent of the animals in the group?
lana [24]

Answer:

dogs=32

total animal=80

dogs percent=dogs/total animal×100%=32/80×100%=40%

3 0
3 years ago
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