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3 years ago

13

Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not a whole number, round t

o
the nearest tenth.

1 answer:

Musya8 [376]3 years ago

7 0

Take the Square root of both sides

(nearest tenth)

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Tell which set or sets the number 26 belongs to: natural numbers, whole numbers, integers, rational numbers, irrational num

stepladder [879]

Answer:

natural numbers, whole numbers, integers, rational numbers, AND real numbers

8 0

3 years ago

1) If y = x3 + 2x and dx/ dt = 5, find dy/dt when x = 2. Give only the numerical answer. For example, if dy, dt = 3, type only 3

Semenov [28]

Answer:

a) 70

b) 10π ft²/ft

c) 0.24 ft/sec

Step-by-step explanation:

1) y = x³ + 2x

$\frac{dy}{dt}=\frac{d(x^3+2x)}{dt}$

or

$\frac{dy}{dt}$ = $3x^2\frac{dx}{dt}+2\frac{dx}{dt}$

at $\frac{dx}{dt}=5$ and x = 2

$\frac{dy}{dt}$ = $3(2)^2\times(5)+2\times(5)$

or

$\frac{dy}{dt}$ = 60 + 10 = 70

2) A = πr² ft²

$\frac{dA}{dr}=\frac{d(\pi r^2)}{dr}$

or

$\frac{dA}{dr}$ = 2(πr)

at r = 5 ft

$\frac{dA}{dr}$ = 2(π × 5) ft²/ft

or

$\frac{dA}{dr}$ = 10π ft²/ft

3) From Pythagoras theorem

Base² + Perpendicular² = Hypotenuse²

Thus,

B² + P² = H² .............(1)

here, H = length of the ladder

P is the height of the wall

B is the distance from the wall at bottom

or

B² + P² = 25² ...........(1)

at B = 20 ft

20² + P² = 25²

or

P² = 625 - 400

or

P = √225

or

P = 15 ft

differentiating (1) with respect to time, we get

$2B\frac{dB}{dt}+2P\frac{dP}{dt}=0$

at B = 20 ft, $\frac{dB}{dt} = 0.18$ and P = 15 ft

⇒ 2(20)(0.18) + $2(15)\frac{dP}{dt}$ = 0

or

$30\frac{dP}{dt}$ = - 7.2

or

$\frac{dP}{dt}$ = - 0.24 ft/sec (Here negative sign depicts the ladder slides down)

7 0

4 years ago

Y = x + 5<br>y = –2x – 1<br>....................

Aleksandr [31]

<span>Therefore,</span> $\left \{ {{Y = x + 5} \atop {y = -2x - 1}} \right.$ <span>= </span> $x=-2;y=3$

8 0

3 years ago

F(x)=8x+10 g(x)=6x-4 what is f(4)-g(3)

In-s [12.5K]

Answer:

f(4) - g(3) = 28

Step-by-step explanation:

f(x) = 8x + 10

f(4) = 8(4) + 10

f(4) = 32 + 10

f(4) = 42

g(x) = 6x - 4

g(3) = 6(3) - 4

g(3) = 18 - 4

g(3) = 14

f(4) - g(3)

= 42 - 14

= 28

8 0

3 years ago

Variable p is 2 more than variable d. Variable p is also 1 less than variable d. Which pair of equations best models the relatio

goldenfox [79]

If you would like to find a pair of equations that best models the relationship between p and d, you can do this using the following steps:

p is 2 more than d ... p = d + 2
p is 1 less than d ... p = d - 1

The correct result would be p = d + 2 and <span>p = d - 1.</span>

4 0

3 years ago

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