17 divided by 476 partial quotients

Find an equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, ...

liq [111]

Common difference = -16-(-20) = 4
nth term = -20+(n-1)4

5 0

2 years ago

Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the

ANTONII [103]

Answer:

Length of right-angle triangle 'a' = 4

b)

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

Step-by-step explanation:

Step(i):-

Given b = 3 and hypotenuse c = 5

Given ΔABC is a right angle triangle

By using pythagoras theorem

c² = a² + b²

⇒ a² = c² - b²

⇒ a² = 5²-3²

=25 - 9

a² = 16

⇒ a = √16 = 4

The sides of right angle triangle a = 4 ,b = 3 and c = 5

Step(ii):-

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

7 0

2 years ago

Does anyone know the formula for the volume of a oblique hexagonal prism?

Scorpion4ik [409]

Answer:

, volume = [(3√3)/2]a2h cubic units

Step-by-step explanation:

The formula for the volume of a hexagonal prism is, volume = [(3√3)/2]a2h cubic units where a is the base length and h is the height of the prism.

8 0

2 years ago

What value of x makes this equation true? x/3 −6=10

Setler [38]

Answer:

48

Step-by-step explanation:

x/3 - 6 = 10

+6 +6

x/3=16

16*3=48

5 0

3 years ago

Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic the

yKpoI14uk [10]

Answer:

The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.

When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.

Step-by-step explanation:

a) Data and Calculations:

Food Clothes Housing Energy High Quality 100

Proof Moonshine

Farmer 0.25 0.15 0.25 0.18 0.20

Tailor 0.15 0.28 0.18 0.17 0.05

Carpenter 0.22 0.19 0.22 0.22 0.10

Coal Miner 0.20 0.15 0.20 0.28 0.15

Slacker Bob 0.18 0.23 0.15 0.15 0.50

Total 1.00 1.00 1.00 1.00 1.00

6 0

2 years ago