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4 years ago

How do you use equivalent rates in the real world?

Mathematics

1 answer:

kotykmax [81]4 years ago

7 0

Cross multiplication
or multiplying by a number which goes in both rates

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4) (Assume AR is tangent) Given: AR 12 SR - 7.7 Find: cs (Round to nearest tenth.)

andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The tangent secant theorem states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

$AR^2=SR\times RC$

Rewriting the above equation, we get,

$AR^2=SR(SR+SC)$

Substituting the values, we get,

$12^2=7.7(7.7+CS)$

Simplifying, we have,

$144=59.29+7.7CS$

Subtracting both sides by 59.29, we get,

$84.71=7.7CS$

Dividing both sides by 7.7, we have,

$11.0013=CS$

Rounding off to the nearest tenth, we get,

$11.0=CS$

Thus, the length of CS is 11.0

6 0

3 years ago

Will mark brainliest geometry proof ............................

photoshop1234 [79]

The order is
CPCTC
SAS
SAS

7 0

3 years ago

What is y greater then or equal to 2x on a graph

Juliette [100K]

Answer:

The minimal number for the objective function P =20x+16y is: 780

The value of x then is: 15

and the value of y then is : 30

Step-by-step explanation:

We are given a system of inequalities as:

y is less than or equal to 2x

i.e. y ≤ 2x--------(1)

x + y is greater than or equal to 45

i.e. x+y ≥ 45 ------------(2)

and x is less than or equal to 30.

i.e. x ≤ 30 -----------(3)

On plotting these inequalities we get the boundary points as:

(15,30) , (30,60) and (30,15)

( Since, the optimal solution always exist at the boundary point )

The optimal function is given by:

Minimize P = 20x+16y

Hence, at (15,30) we get:

P= 780

at (30,60) we get:

P= 1560

at (30,15) we get:

P= 840

This means that the minimal value of the function is 780

and the value exist at (15,30)

5 0

3 years ago

1. Find the compound interest and maturity value if P = P43,000, with a rate of 5% is compounded semi-annually for 6 years.

Leno4ka [110]

The Answer is that the present value of $100 is $100. Because this $100 dollar is deposited today so the time is equal to zero and when time is zero the value of amount is the value of amount itself.

7 0

2 years ago

Luke is 5 years younger than 3 times in Sydney's age in the situation what does 3s represnt

Fudgin [204]

3s is 3 times sydneys age. so the equation would be 3s-5

8 0

3 years ago