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3 years ago

Write 2 ratios that are equivalent to 9/12

Mathematics

2 answers:

zhenek [66]3 years ago

7 0

Two ratios are 3:4 and 18:24

dangina [55]3 years ago

3 0

Two equivalent ratios can be:
3/4 and 15/20.

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It’s asking for LATERAL surface area btw

lozanna [386]

Answer:

Lateral surface area = 826.5 m²

Step-by-step explanation:

Formula to calculate the lateral surface area of the triangular prism,

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

Perimeter of the triangular base = 6 + 11 + 12

= 29 m²

Height of the prism = 28.5 m

Therefore, lateral surface area of the prism = 29 × 28.5

= 826.5 m²

5 0

3 years ago

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by: P(x)=-12x^2 +12

Minchanka [31]

Given:

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

$P(x)=-12x^2+120x$

To find:

The current that will produce the maximum power.

Solution:

We have,

$P(x)=-12x^2+120x$

Here, leading coefficient is negative. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

If a parabola is $f(x)=ax^2+bx+c$ , then

$Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)$

In the given function, a=-12 and b=120. So,

$-\dfrac{b}{2a}=-\dfrac{120}{2(-12)}$

$-\dfrac{b}{2a}=-\dfrac{120}{-24}$

$-\dfrac{b}{2a}=5$

Putting x=5 in the given function, we get

$P(5)=-12(5)^2+120(5)$

$P(5)=-12(25)+600$

$P(5)=-300+600$

$P(5)=300$

Therefore, 5 watt current will produce the maximum power of 300 amperes.

6 0

3 years ago

Some sand weighs 2,800 kilograms. It is divided equally among 4 trucks. How many kilograms of sand are in each truck?

Tamiku [17]

Answer: 700

Step-by-step explanation: 2800 kg / 4 trucks = 700 kg per truck

4 0

3 years ago

Mario start collecting stamps in January and buys 12 stamps each month.Karen starts collecting stamps in July and buys 18 starts

Goryan [66]

Answer:

12 months

Step-by-step explanation:

Given that:

Mario:

12 stamps per month

Since January

Karen :

18 stamps per month

Starts on july

Number of stamps collected by Mario till the end of June :

12 * 6 = 72 stamps

For Mario :

72 + 12x

For karen:

18x

Where x is the number of months after karen starts :

Equate both equations

72 + 12x = 18x

72 = 18x - 12x

72 = 6x

x = 72/6

x = 12

After 12 months

Number of months after karen starts, will they have same amount of stamp

7 0

3 years ago

Red Bull is the most popular energy drink in sales in the United States. Red Bull GmbH (the parent company) has observed that da

oee [108]

Answer:

The probability that on a given day below 6,214,323 drinks are sold is 0.8413.

Step-by-step explanation:

The provided information are:

Population mean $(\mu)$ = 6,205,195

Population standard deviation $(\sigma)$ = 9,120.32

Consider, X be the random variable that represents the number of drinks that are sold on a given that is normally distributed with the mean = 6,205,195 and standard deviation = 9,120.32.

The probability that on a given day below 6,214,323 drinks are sold can be calculated as:

$P(X$

It must be noted that P(Z < 1.0008) = 0.8413 has been calculated using the standard normal table.

Hence, the required probability is 0.8413.

8 0

3 years ago