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Angelina_Jolie [31]
3 years ago
15

Solve for z. Round to the nearest tenth, if necessary.

Mathematics
2 answers:
AlekseyPX3 years ago
6 0

9514 1404 393

Answer:

  45.6

Step-by-step explanation:

There is a geometric mean rule that is derived from the fact that all of these right triangles are similar. It tells you the side (27) is the geometric mean of the hypotenuse (z) and the segment of it adjacent to that side (16).

  27 = √(16z)

  z = 27²/16 = 45.5625

  z ≈ 45.6

dmitriy555 [2]3 years ago
4 0

Answer:

z = 45.6

Step-by-step explanation:

because the triangle that we know all the length is similar to the large triangle,

z = 27/(16/27)= 45.5625

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Svp aidez moi )
34kurt

Answer:

Dans 3 ans  l’âge du père sera le triple de celui de sa fille

Step-by-step explanation:

X= années qui doivent passer

3(12+X ) = 42 +X

36+ 3X = 42 +X

2X = 6

X = 3

La fille   15 ans

Le  père 45 ans   (15x3=45)

3 0
3 years ago
The length of a rectangle is 10 meters more than the width. If the perimeter is 184 meters, what are the length and the width?
Brilliant_brown [7]
Perimeter = (2 × Length) + (2 × Width)

If the length is dependent on the width (because the length is 10 more than the width), we can say that L = W + 10.

To find the answer to the Peri, we have to find out what the W is first.

184 = 2(W + 10) + 2W
184 = 2W + 20 + 2W
184 = 4W + 20
184 - 20 = 4W = 164
164 ÷ 4 = W
41 = W

We have found out width. Our length is W + 10, so L = 41 + 10 = 51

W = 41 and L = 51


3 0
3 years ago
Find the marginal and average revenue functions associated with the demand function P= -0.3Q + 221
LekaFEV [45]

Answer:

Marginal revenue = R'(Q) = -0.6 Q + 221

Average revenue = -0.3 Q + 221

Step-by-step explanation:

As per the question,

Functions associated with the demand function P= -0.3 Q + 221, where Q is the demand.

Now,

As we know that the,

Marginal revenue is the derivative of the revenue function, R(x), which is equals the number of items sold,

Therefore,

R(Q) = Q × ( -0.3Q + 221) = -0.3 Q² + 221 Q

∴ Marginal revenue = R'(Q) = -0.6 Q + 221

Now,

Average revenue (AR) is defined as the ratio of the total revenue by the number of units sold that is revenue per unit of output sold.

Average\ revenue\ = \frac{Total\ revenue}{number\ of\ units\ sold}

Where Total Revenue (TR) equals quantity of output multiplied by price per unit.

TR = Price (P) × Total output (Q) = (-0.3Q + 221) × Q = -0.3 Q² + 221 Q

Average\ revenue\ = \frac{TR}{Q}

Average\ revenue\ = \frac{-0.3Q^{2}+221Q}{Q}

∴ Average revenue = -0.3Q + 221

5 0
3 years ago
Rita bought a pair of jeans for $89. The sales-tax rate is 11 percent. What is the total amount she paid for the jeans?
andre [41]

Total amount paid by Rita is $98.79

Step-by-step explanation:

  • Step 1: Given sales tax = 11% and cost of jeans = $89
  • Step 2: Calculate amount of sales tax = 11% of 89 = 11/100 × 89 = $9.79
  • Step 3: Calculate the total amount

Total Amount = 89 + 9.79 = $98.79

5 0
3 years ago
Write in descending powers of “x” 6x^4+15x^3y2+3x^2y^3
Wewaii [24]

(6x^4) + (15x^3)(y^2) + (3x^2)(y^3) is your answer

As we are looking at descending powers of x. Look at the powers of the x. In the first one (6x^4), the power is 4, and 4 is greater than the other numbers given (3 & 2). Therefore, the order given above is correct.

hope this helps

7 0
3 years ago
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