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2 years ago

What is a equivalent ratio to 12/18

1 answer:

7 0

We can multiply 12/18 by 1, but in a different form. We multiply both the numerator and denominator by 10 trillion, we get an equivalent ration.
So 120,000,000,000,000/180,000,000,000,000

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Davis's Snacks will make 8,412 ounces of corn chips next year. The company plans to put the chips into 4-ounce bags. How many ba

Anastasy [175]

Answer:

2103 bags

Step-by-step explanation:

8412/4=2103

6 0

2 years ago

In this triangle, the product of sin B and tan C is<br> and the product of sin Cand tan B is

Ipatiy [6.2K]

Answer:

$\frac{c}{a}$ and $\frac{b}{a}$

Step-by-step explanation:

sinB = $\frac{opposite}{hypotenuse}$ = $\frac{AC}{BC}$ = $\frac{b}{a}$

tanC = $\frac{opposite}{adjacent}$ = $\frac{AB}{AC}$ = $\frac{c}{b}$

Thus

sinB tanC = $\frac{b}{a}$ × $\frac{c}{b}$ ( cancel b on numerator/ denominator )

= $\frac{c}{a}$

---------------------------------------------------------------------------

sinC = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{BC}$ = $\frac{c}{a}$

tanB = $\frac{opposite}{adjacent}$ = $\frac{AC}{AB}$ = $\frac{b}{c}$

Thus

sinC tanB = $\frac{c}{a}$ × $\frac{b}{c}$ ( cancel c on numerator/ denominator )

= $\frac{b}{a}$

7 0

2 years ago

Quadrilateral WXYZ has the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0).

AnnZ [28]

The length of side WX in Quadrilateral WXYZ is 3b units.

<h3>Coordinate plane</h3>

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

$AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Given the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0). The length of WX is:

$WX=\sqrt{(b-b)^2+(4b-b)^2}=3b$

The length of side WX in Quadrilateral WXYZ is 3b units.

Find out more on coordinate plane at: brainly.com/question/26100648

7 0

2 years ago

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t

WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

$\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}$

Seperate the differential equation and solve for the constant C.

$\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2} }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}$

You have 100 rodents when:

$100=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{100} \\\\2t=98\\\\t=49\ months$

You have 1000 rodents when:

$1000=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{1000} \\\\2t=99.8\\\\t=49.9\ months$

7 0

2 years ago

Which choice best satisfies the formula for the area of a square whose sides are s inches long?

klasskru [66]

The area of the square whose sides is s inches long will be given by:
Area=length×width
Length=s inches
width=s inches
thus:
the area of the squares will be:
Area=s×s=s² sq. inches

Thus the correct answer is:
area=s² sq. in

8 0

3 years ago