20 ft 12 ft 7 ft 8 ft 8 1t 34 ft What is the area?

Find sin theta if cos theta is 4/5

Dima020 [189]

Answer:

Step-by-step explanation:

hello :

cos²θ +sin²θ = 1 and cosθ =4/5

(4/5)² + sin²θ = 1 so : sin²θ = 1 - 16/25

sin²θ = 9/25 = (3/5)²

sinθ = 3/5 or sinθ = - 3/5 because : (3/5)²= (- 3/5)²= 9/25

5 0

2 years ago

#17-1: Simplify this complex fraction. 1/3 / 6/9

Gnesinka [82]

$\huge{\boxed{\frac{1}{2}}}$

To divide by a fraction, you multiply by its reciprocal, which you find by flipping the numerator and the denominator. $\frac{1}{3} \div \frac{6}{9} = \frac{1}{3} * \frac{9}{6}$

Multiply the numerators and the denominators separately. $\frac{1}{3} * \frac{9}{6} = \frac{1*9}{3*6} = \frac{9}{18}$

Simplify by dividing both sides of the equation by $9$ . $\frac{9 \div 9}{18 \div 9} = \boxed{\frac{1}{2}}$

3 0

2 years ago

Read 2 more answers

Find the value 5x+2 x=3

Mashutka [201]

Plug x=3 into the equation:
5(3)+2
And simplify:
15+2
17

5 0

1 year ago

Read 2 more answers

Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of

lara [203]

Answer:

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

Step-by-step explanation:

Given that:

Snack bags come in packages of 12.

Juice bags come in packages of 10.

To find:

Fewest number of packages of each product so that there are same number of snack bags and juice boxes.

Solution:

Number of snack bags when 1 package is bought = 12

Number of snack bags when 2 package is bought = 24

Number of snack bags when 3 package is bought = 36

Number of snack bags when 4 package is bought = 48

Number of snack bags when 5 package is bought = 60

Number of snack bags when 6 package is bought = 72

Number of juice bags when 1 package is bought = 10

Number of juice bags when 2 package is bought = 20

Number of juice bags when 3 package is bought = 30

Number of juice bags when 4 package is bought = 40

Number of juice bags when 5 package is bought = 50

Number of juice bags when 6 package is bought = 60

Number of juice bags when 7 package is bought = 70

We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.

This can be found by finding the LCM as well.

LCM of 10 and 12 is 60.

It means we need to buy 60 bags of each item.

And we can easily find the number of packages for each.

Number of packages of snack bags to be bought = $\frac{60}{12} =5$

Number of packages of juice bags to be bought = $\frac{60}{10} = 6$

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

4 0

2 years ago

Use binomial theorem to expand (2+X)5 in ascending powers of x up to the terms containing x3 and Use your expansion to find (1.

TEA [102]

Answer:

Diet and behavior

These awe-inspiring giants tend to be solitary animals—with the exception of females and their cubs—but at times they do congregate. Dramatic gatherings of grizzly bears can be seen at prime Alaskan fishing spots when the salmon run upstream for summer spawning. In this season, dozens of bears may gather to feast on the fish, craving fats that will sustain them through the long winter ahead.

Brown bears dig dens for winter hibernation, often holing up in a suitable-looking hillside. Females give birth during this winter rest, often to twins.

Grizzly bears are powerful, top-of-the-food-chain predators, yet much of their diet consists of nuts, berries, fruit, leaves, and roots. Bears also eat other animals, from rodents to moose.

Despite their impressive size, grizzlies have been clocked running at 30 miles an hour. They can be dangerous to humans, particularly if surprised or if humans come between a mother and her cubs.

Habitat

Grizzlies once lived in much of western North America and even roamed the Great Plains. These animals need a lot of space—their home range can encompass up to 600 square miles—so their ideal habitat is one that is isolated from development and has plenty of food and places to dig their dens.

Though European settlement gradually eliminated the bears from much of their original habitat, grizzly populations can still be found in parts of Wyoming, Montana, Idaho, and Washington State. They’re one of the most iconic residents of Yellowstone National Park. Many grizzlies also still roam the wilds of Canada and Alaska, where hunters pursue them as big game trophies.

5 0

2 years ago