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2 years ago

Can I get some help on these two

Mathematics

1 answer:

tia_tia [17]2 years ago

3 0

9514 1404 393

Answer:

cone: 138.16 in²

pyramid: 352 m²

Step-by-step explanation:

Use the appropriate formula from your list of area and volume formulas.

Area of a Cone

A = πr(r +h) . . . . . where r is the radius and h is the slant height

The radius is half the diameter, so is 4 inches.

A = π(4 in)(4 in + 7 in) = 44π in² ≈ 138.16 in²

Lateral Area of a Square Pyramid

A = 2sh . . . . . where s is the side length of the base and h is the slant height

A = 2(8 m)(22 m) = 352 m²

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Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1

shepuryov [24]

ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

$h(x) = \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 }$

$h(x) = \frac{ {(x + 1)}^{2} }{ ({x} - 1)(x + 1)}$

$h(x) = \frac{ (x + 1)(x + 1) }{ ({x} - 1)(x + 1)}$

$h(x) = \frac{ x + 1}{ {x} - 1}$

The vertical asymptote occurs at

${x} - 1 = 0$

$x = 1$

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

$y = \frac{1}{1}$

y=1

8 0

2 years ago

Jan left her home and drove for 5.2 hours due north at a rate of 60 miles per hour. After visiting a friend, she drove due south

Andreyy89

Answer:

180 miles

Step-by-step explanation:

Going North

Formula

d = r * t

Givens

r = 60 mph

t = 5.2 hours

d = ?

Solution

d = 5.2 * 60 = 312 miles north

Going South

Givens

r = 55 mph

t = 2.4 hours

Solution

d = r * t

d = 55 * 2.4

d = 132

Distance from home

Formula: Distance from home = Distance North - Distance South

Distance North = 312 - 132 = 180 miles

4 0

3 years ago

Read 2 more answers

Choose the correct description of the graph of the compound inequality x − 2 > −4 and 3x less than or equal to 15.

Evgesh-ka [11]

Answer:

A number line with an open circle on −2, a closed circle on 5, and shading in between

Step-by-step explanation:

solve it you get x>-2

and 3x <=15

x<=5

so its close on 5 and open on -2

7 0

2 years ago

If f(x)=3x-6 then find f(4)

masya89 [10]

Answer:

f(4) = 6

Step-by-step explanation:

f(x) = 3x - 6

f(4) = 3(4) - 6

f(4) = 12 - 6

f(4) = 6

8 0

2 years ago

The time to complete a standardized exam is approximately normal with a mean of 70 minutes and a standard deviation of 10 minus.

AnnyKZ [126]

Answer:

Step-by-step explanation:

Given that the time to complete a standardized exam is approximately normal with a mean of 70 minutes and a standard deviation of 10 minutes.

P(completing exam before 1 hour)

= P(less than an hour) = P(X<60)

=P(Z< $\frac{60-70}{10} =-1$ )

=0.5-0.34=0.16

i.e. 16% of students completed the standardized exam.

7 0

2 years ago