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4 years ago

The circumference of a circle is 9.58. Find the length of the diameter. Give your answer to 2DP

Mathematics

1 answer:

harkovskaia [24]4 years ago

6 0

Answer:

d≈3.05

Step-by-step explanation:

d= C/π

d=9.58/π

d≈3.04941

d≈3.05

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5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as in Figure 5:

Damm [24]

The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.

$(a) \ \mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = q -\dfrac{x}{\sqrt{x^2+ 5.76}}$

(b) When x = 0.6 and q = 0.5 m/s, the speed of the wagon is approximately 0.243 m/s.

Reasons:

(a) The distance from the cart to the pulley, r is given by Pythagoras's

theorem as follows;

r = √((3 - 0.6)² + x²) = √(2.4² + x²)

The speed of the wagon = $\mathbf{\dfrac{dx}{dt}}$

The speed of the rope, q = $\mathbf{\dfrac{dr}{dt}}$

By chain rule, we have;

$\dfrac{dr}{dt} = \mathbf{\dfrac{dr}{dx} + \dfrac{dx}{dt}}$

$\dfrac{dr}{dx} = \dfrac{x}{\sqrt{x^2+ 5.76}}$

Therefore;

$\dfrac{dr}{dt} = q =\dfrac{x}{\sqrt{x^2+ 5.76}}+ \dfrac{dx}{dt}$

$\mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = \underline{ q -\dfrac{x}{\sqrt{x^2+ 5.76}}}$

(b) The speed of the wagon when x = 0.6 if q = 0.5 m/s is given as follows;

$\dfrac{dx}{dt} = 0.5 -\dfrac{0.6}{\sqrt{0.6^2+ 5.76}} =\sqrt{\dfrac{1}{17} } \approx 0.243$

The speed of the wagon when x = 0.6 and q = 0.5 m/s, $\dfrac{dx}{dt}$ ≈ 0.243 m/s

Learn more here:

brainly.com/question/17081984

4 0

2 years ago

Which other parts must be equal for triangle ABC= triangle MTR by

lesya692 [45]

Answer:

see below

Step-by-step explanation:

ASA stands for Angle-side-Angle

thus, for ∆ABC $\cong$ ∆MTR

$\displaystyle \angle C \cong \angle R$

SAS stands for Side-angle-Side 

thus,for ∆ABC $\cong$ ∆MTR

$\displaystyle \overline{ MR }\cong \overline{MT}$

likewise,

AAS stands for Angle-Angle-Side

thus,for ∆ABC $\cong$ ∆MTR

$\displaystyle \angle M \cong \angle T$

7 0

3 years ago

35 99/100 in simplest form

sergey [27]

$35 \frac{99}{100}$ is already in simplest form...so it can't be simplified any further because;
99 doesn't go into 100 evenly nor could be divided by a same number. :D

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3 years ago

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vladimir2022 [97]

Answer: The answer is B

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3 years ago

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Evaluate tan( – 33pi/4)

Vikki [24]

Answer:??

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