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3 years ago

Find the indicated length Find DE

Mathematics

1 answer:

Alex3 years ago

8 0

Answer: DE= 9
Steps: If the entire length is 27 and AD is 18 then you subtract 18 from 27 and you are left with 9

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What is the length of the diagonal of the square shown below?

Tatiana [17]

Answer:

sqrt(50)

Step-by-step explanation:

Since it is a right triangle, we can apply the Pythagorem Theorem.

a^2 + b^2 = c^2

25 + 25 = c^2

50 = c^2

c = sqrt(50)

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3 years ago

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How do I solve this arithmetic sequence?

Sveta_85 [38]

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

<u>-TheUnknownScientist</u>

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3 years ago

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Answer is in the attached figure.

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What does per gallon mean is it division or multiplication??

DerKrebs [107]

Per gallon means you multiply for each gallon.

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A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at

vitfil [10]

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

$\frac{dx}{dt}=11.94m/min$

Step-by-step explanation:

From the question we are told that

Slant height $z=29m$

Change in Vertical height $\triangle y=7m/s$

Horizontal length $x=21$

Generally in finding the distance form the top to the bottom of the wall it is mathematically given by

$x^2+y^2=z^2$

$21^2+y^2=29^2$

$y^2=29^2+21^2$

$y=35.81$

Generally solving for the differential equation is mathematically represented as

$x^2+y^2=29^2$

$2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0$

$x*\frac{dx}{dt} +y*\frac{dy}{dt} =0$

$(21)*\frac{dx}{dt} +(35.81)*(-7) =0$

$(21)*\frac{dx}{dt} -250.64 =0$

$\frac{dx}{dt}=\frac{250.64}{21}$

$\frac{dx}{dt}=11.94m/min$

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3 years ago