Estimate the number 3,744

There are many cylinders with radius 6 meters. Let h represent the height in meters and V represent the volume in cubic meters.

KiRa [710]

The equation that represents the volume of the cylinder is 36πhhh m³.

Explanation:

Formula: volume of a cylinder = πr²h

pi = π = 22/7

r = radius

6² πhhh

36πhhh m³

4 0

2 years ago

What is the solution to the system of equations? 2x – y = 7 y = 2x 3

velikii [3]

Answer:

I will assume the second equation is y=2x^3. If it is y=2x+3 or y=2x-3, the lines will never intersect: they have the same slope (2):

Step-by-step explanation:

2x – y = 7 can be rewritten as: y = 2x -7. It has a slope of 2. The second equation, y = 2x 3, isn't clearly written. If the 3 has a plus or minus sign, then the lines will never intersect: they have the same slope, 2.

I'll assume the second equation is y=2x^3.

See attached graph.

5 0

2 years ago

A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of

FinnZ [79.3K]

Answer:

$k \approx 0.44$

Step-by-step explanation:

Given function:

$f(t) = (ce)^{-kt}+32$

As per question statement:

Initial temperature of bottle is 70 $^\circ F$ .

i.e. when time = 0 minutes, f(t) = 70 $^\circ F$

$70 = ce^{-k\times 0}+32\\\Rightarrow 38 = ce^{0}\\\Rightarrow c = 38$

After t = 3, f(t) = 42 $^\circ F$

$42 = 38 \times e^{-k\times 3}+32\\\Rightarrow 42-32 = 38 \times e^{-3k} \\\Rightarrow 10 = 38 \times e^{-3k} \\\Rightarrow e^{3k} = \dfrac{38}{10}\\\Rightarrow e^{3k} = 3.8\\\\\text{Taking } log_e \text{both the sides:}\\\\\Rightarrow log_e {e^3k} = log_e {3.8}\\\Rightarrow 3k \times log_ee=log_e {3.8} (\because log_pq^r=r \times log_pq)\\\Rightarrow 3k \times 1=log_e {3.8}\\\Rightarrow 3k = 1.34\\\Rightarrow k = \dfrac{1.34}{3}\\\Rightarrow k \approx 0.44$

Hence, the value is:

$k \approx 0.44$

8 0

3 years ago

Find the measure of unknown angle

Lemur [1.5K]

Answer:

Step-by-step explanation:

z = 102 degree (opposite angles of a parallelogram are equal)

z + x + 34 = 180 degree 9sum of adjacent angles of a parallelogram is 180 degree)

102 + x + 34 = 180

x = 180 - 136

x = 44 degree

y + 102 + x = 180 degree (sum of interior angles of a triangle is 180 degree)

y + 102 + 44 = 180

y = 180 - 146

y = 34 degree

3 0

2 years ago

Read 2 more answers

If x and (19x+30) are the measures of complementary angles, what is the measure of each angle?

Alisiya [41]

Answer:

3° and 87°

Step-by-step explanation:

here's your solution

=>  we know that measure of complementary angle is 90°

=>. one angle is. = x

=> other angle is .= (19x + 30)

=> so, x + 19x + 30° = 90°

=> 20x + 30° = 90°

=> 20x = 60°

=> x = 60/20

=> x = 3°

hence one angle is 3° and other is 87°

hope it helps

7 0

3 years ago