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3 years ago

Will make brainliest if answered correctly

Mathematics

2 answers:

jeyben [28]3 years ago

3 0

Answer:

The approximate volume of the juice can is 339 cubic inches.

Step-by-step explanation:

Here, the height of the can = 12 in

The diameter of the base = 6 in

Now,a s we know: DIAMETER = 2 x RADIUS

⇒ R = D/2 = 6/2 = 3 in

Now, AREA of the BASE = π R²

= (3.14) x (3) x (3) = 28.26 sq. inches

Here, given: V = Area of base x Height

= 28.26 sq. inches x 12 in

= 339. 12 cubic inches

⇒ V ≈ 339 cubic inches

Hence, approximate the volume of the juice can is 339 cubic inches.

Lemur [1.5K]3 years ago

3 0

Answer:

Volume, V = B $\times$ height = 28.26 $\times$ 12 = 339.12 $inches^{3}$ = 339 cubic inches

Therefore the correct option is B.)

Step-by-step explanation:

i) diameter of circular base = 6 inches

ii) radius of circular base, r = 3 inches

iii) area of circular base, B = $\pi \times r^{2}$ = 3.14 $\times 3^{2}$ = 3.14 $\times 9$ = 28.26 $inches^{2}$

iv) height of cylinder = 12 inches

iv) Volume, V = B $\times$ height = 28.26 $\times$ 12 = 339.12 $inches^{3}$

Therefore the correct option is B.)

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On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.

koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

y₂ = 30 - 32

y₂ = -2

So, the coordinates of B are (-1, -2)

3 0

3 years ago

What is twenty times negative fifteen

xeze [42]

Answer:

$\boxed{20\times-15=-300}$

Step-by-step explanation:

5 0

3 years ago

Isolate for x, y = mx + b

zavuch27 [327]

Answer:

x = (y - b)/m

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First subtract b from both sides:

y = mx + b

y (-b) = mx + b (-b)

y - b = mx

Next, divide m from both sides:

(y - b)/m = (mx)/m

x = (y - b)/m

x = (y - b)/m is your answer.

3 0

3 years ago

Read 2 more answers

A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular

Mama L [17]

The slope of first line is m 1= ( 1 - 0 ) / ( - 2 - ( - 6 ) );
m = 1 / 4 ;
Because the second line is perpendicular to the first line, m2 * m1 = - 1 ;
m2 * ( 1 / 4 ) = -1;
m2 = - 4 ;
The equation of the second line is : y - 3 = ( - 4 )( x - 2 );
y - 3 = -4x + 8 ;
y = -4x + 11.

5 0

4 years ago

The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of app

AfilCa [17]

Answer:

$Q(t) = 4.5(1.013)^{t}$

The world population at the beginning of 2019 will be of 7.45 billion people.

Step-by-step explanation:

The world population can be modeled by the following equation.

$Q(t) = Q(0)(1+r)^{t}$

In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.

The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.

This means that $Q(0) = 4.5, r = 0.013$

$Q(t) = Q(0)(1+r)^{t}$

$Q(t) = 4.5(1.013)^{t}$

What will the world population be at the beginning of 2019 ?

2019 - 1980 = 39. So this is Q(39).

$Q(t) = 4.5(1.013)^{t}$

$Q(39) = 4.5(1.013)^{39} = 7.45$

The world population at the beginning of 2019 will be of 7.45 billion people.

6 0

4 years ago