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djverab [1.8K]
3 years ago
14

Pentagon ABCDE ~ Pentagon FGHIJ. If CD=14, DE=19, and IJ=42, what is the length of HI.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

It is going to be 41

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Hunter-Best [27]
I would call it 17,066.67
4 0
3 years ago
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Help please I need to know If it is a function of not
algol13
Look at the attachment

9. Not a function
10. Is a function
11. Not a function
12. Is a function



7 0
2 years ago
If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

Solving for the first derivative, we have

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63
3 0
3 years ago
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on t
Juliette [100K]

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

7 0
3 years ago
In a box of 720 pens,40% of the pens are blue. how many blue pens are there in the box?
romanna [79]

Answer:

<em><u>blue</u></em><em><u> </u></em><em><u>pens</u></em><em><u>=</u></em><em><u>288</u></em>

Step-by-step explanation:

<em>blue</em><em> </em><em>pens</em><em>=</em><em>720×40%</em>

<em>blue</em><em> </em><em>pens</em><em>=</em><em>720×40/100</em>

<em>blue pens</em><u>=</u><u>288</u>

4 0
3 years ago
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