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Serggg [28]
3 years ago
15

What is the length of AD?

Mathematics
1 answer:
Setler [38]3 years ago
7 0
We find the length of AD using the similarity of right triangle property. See image attached.

AD² = BD × CD
AD² = 9 × 36
AD² = 324
AD² = 18²
AD = 18

The length of AD is 18 units

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Recall Marginal Cost is the derivative of Total Cost, and Fixed Cost is the cost of producing zero units.
olga nikolaevna [1]

Answer:

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

Step-by-step explanation:

The Marginal Cost is given by the following function

MC(q) = 200*(q+9)^{-5}

The total cost function is the integrative of the marginal cost function. So:

TC(q) = \int {MC(q)} \, dq

TC(q) = \int {200*(q+9)^{-5}} \, dq

TC(q) = -50*(q+9)^{-4} + K

In which K, the integrative constant, is the fixed cost. So K = 4000.

1. Find the total cost of producing 91 units of ACME rocket fuel.

This is TC(91).

So

TC(91) = -50*(91+9)^{-4} + 4000 = 3999.99

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

8 0
3 years ago
The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
kherson [118]

Answer:

8 units²

Step-by-step explanation:

The area (A) of the shaded part (right triangle ) is calculated as

A = \frac{1}{2} × area of rectangle

   = 0,5 × 4 × 4 = 0.5 × 16 = 8 units²

5 0
3 years ago
Read 2 more answers
Determine if the triangles, ΔUVW and ΔBAC, are similar. If so, identify the similarity criterion.
alexandr402 [8]

Answer:

B). SAS similarity.

Step-by-step explanation:

In Δ WVU & ΔCAB,

UV/CA = 17/34 = 1/2

&

VW/AB = 14/28 = 1/2

∵ UV/CA = VW/AB = 1/2

& ∠V = ∠A (Given)

∵ ΔWVU ≅  ΔCAB   (by SAS similarity)

7 0
2 years ago
Put the steps of solving the equation in order from first to last.<br> 2x + 1 = -1
Alborosie

Answer:

x = 1

Step-by-step explanation:

2x + 1 = -1

2x = -1 - 1

2x = -2

x = -2 ÷ -2

x = 1

3 0
3 years ago
The Charleston family has less than 500 Dalmatians. There are six times as many Dalmatians with black spots on their right ears
ANEK [815]
Let x be the number of Dalmatians without black spots.
So, x+6x is close to 500, which means x=71.
71*7=497, which is the total number of Dalmatians.
Giving away 6% of this will give you around 467 Dalmatians left.

Answer:467 Dalmatians
7 0
3 years ago
Read 2 more answers
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