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Yuki888 [10]
3 years ago
9

G(n)=n-4 h(n) = 3n - 2 Find g(9) × h(9)

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Answer:

125

Step-by-step explanation:

put 9 where the n's are and sovle

(9-4)(3*9-2)

5*25

125

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The sum of three consecutive numbers is 87. What are the three numbers
sergij07 [2.7K]

Answer:

n, n+1, n+2

n+n+1+n+2= 87

3n+3 = 87

3n = 87-3

3n = 84

n = 84/3

n = 28

n+1 = 28 + 1 = 29

n+2 = 28 + 2 = 30

the three numbers are 28,29,30

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3 years ago
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What is the value of the fourth term in a geometric sequence for which a1= 15 and r= 1/3
pav-90 [236]
\bf \begin{array}{cll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&15\\
a_2&15\left( \frac{1}{3} \right)\\\\
a_3&15\left( \frac{1}{3} \right)\left( \frac{1}{3} \right)\\\\
a_4&15\left( \frac{1}{3} \right)\left( \frac{1}{3} \right)\left( \frac{1}{3} \right)
\end{array}\qquad \implies 15\left( \frac{1}{3} \right)^3\implies 15\cdot \cfrac{1^3}{3^3}
\\\\\\
\cfrac{15}{27}\implies \stackrel{simplified}{\cfrac{5}{9}}
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3 years ago
5 liters equals how many quarts
Scorpion4ik [409]

Answer: 5.2834410 and simplify

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Willow works for the local council and one of their projects is to renovate the town hall. They intend to refurbish the dance fl
storchak [24]

Answer:

96m²

Step-by-step explanation:

Think of the sclae as 2m per 1cm so you can write that as a fraction and use it as a conversion factor:

\dfrac{2m}{1cm}

As a whole square, the actual dimensions of the dance floor would be:

5cm \times\dfrac{2m}{1cm}=10m

So each side is actually 10m.

We can use that to solve for the whole square:

A = s²

Where s = side of a square

A = (10m)² = 100m²

Now all you need to do is solve for the are of the missing corner. Consider that missing corner is a right triangle. It's legs are 1cm long and 2 cm long.

If we convert get the actual length it would be: 2m and 4m.

The area of the right triange would be:

A = \dfrac{ab}{2}

Where:

a and b are the two legs of the right triangle (NOT THE HYPOTENUSE, or longest side)

So:

a = 2m

b = 4m

Now plug that into our formula:

A = \dfrac{ab}{2}\\\\A = \dfrac{2m\times4m}{2}\\\\A = \dfrac{8m^2}{2}\\\\A = 4m^2

Then now we take the area of the missing side and subtract it from the whole square:

Area of the whole square - Area of the missing corner (right triangle)

100 m² - 4m² = 96m²

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