If cos(theta)= the square root of 3 divided by 2 then what what does cos squared theta =

will the contents of a cylindrical can of soup with a 1.5-inch radius and a 5-inch height fit into a pan with a 4-inch radius an

Anna007 [38]

Answer:

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

Step-by-step explanation:

a. V = s3

V = (7 km)3

V = 7 km × 7 km × 7 km

V = 343 km3

b. V = s3

V = (11 yd.)3

V = 11 yd. × 11 yd. × 11 yd.

V = 1,331 km cu. yd.

a. V = l × w × h

V = 6 m × 2 m × 3 m

V = 36 m3

b. V = l × w × h

V = 5 ft. × 10 ft. × 8 ft.

V = 400 cu. ft.

a. V = πr2h

V = 3.14 × (3 in.)2 × 3 in.

V = 3.14 × 9 sq. in. × 3 in.

V = 84.78 cu. in.

b. V = πr2h

V = 3.14 × (1 m)2 × 4 m

V = 3.14 × 1 m2 × 4 m

V = 12.56 m3

V = s3

V = (2 ft.)3

V = 2 ft. × 2 ft. × 2 ft.

V = 8 cu. ft.

Answer: The capacity of the ice chest is 8 cubic feet.

V = πr2h

V = 3.14 × (1 ft.)2 × 3 ft.

V = 3.14 × 1 sq. ft. × 3 ft.

V = 9.42 cu. ft.

Answer: The volume of the trash can is 9.42 cubic feet.

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.

Volume of Can

V = πr2h

V = 3.14 × (1.5 in.)2 × 5 in.

V = 3.14 × 2.25 sq. in. × 5 in.

V = 35.325 cu. in.

Volume of Pan

V = πr2h

V = 3.14 × (4 in.)2 × 3 in.

V = 3.14 × 16 sq. in.× 3 in.

V = 150.72 cu. in.

35.325 cu. in. soup can < 150.72 cu. in pan

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

3 0

2 years ago

WHAT DO I DO WHEN I FAILED A ALGEBRA TEST

Delicious77 [7]

Answer:

Restudy and try to take it again.

Step-by-step explanation:

Try watching math videos and do extra studying on the areas you missed on your last attempt.

5 0

2 years ago

Read 2 more answers

Which shows the expressions in the order they would appear on a number line from least to greatest?

Ganezh [65]

2^3 = 8
11/9 = 1.22
sqrt 5 = 2.24
sqrt 20 = 4.47
sqrt 11 = 3.32

least to greatest : 11/9, sqrt 5 , sqrt 11 , sqrt 20, 2^3

7 0

2 years ago

Graphing exponential functions and then State the domain, range and asymptote

Luda [366]

9514 1404 393

Answer:

D: all real numbers

R: f(x) > 0

A: f(x) = 0

(-∞, 0), (+∞, +∞)

vertical stretch by a factor of 2; left shift 2 units

Step-by-step explanation:

The transformation ...

g(x) = a·f(b(x -c)) +d

does the following:

vertical stretch by a factor of 'a'
horizontal compression by a factor of 'b'
translation right by 'c' units
translation up by 'd' units

For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.

__

Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.

__

As with all exponential functions, ...

the domain is "all real numbers"
the range is all numbers above the asymptote: f(x) > 0
the horizontal asymptote is f(x) = 0

The function is a growth function, so ...

x → -∞, f(x) → 0
x → ∞, f(x) → ∞

_____

<em>Additional comment</em>

The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...

f(x) = 18(3^x)

with no left shift and a vertical stretch by a factor of 18 instead of 2.

6 0

3 years ago

What is the slope of the line passing through the points (1, –5) and (4, 1)?

xxMikexx [17]

You are given two points that could be plotted on a graph (1,-5) and (4,1). The formula for slope is y2-y1/x2 -x1

When plotted into the points it would look like 1-(-5)/4-1= 6/3

6/3=2. So, the slope for these two points is 2.

8 0

3 years ago