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3 years ago

What would the area of the circle be if the given radius is 2.3 ft? c= π*r

Mathematics

1 answer:

Margarita [4]3 years ago

4 0

The circumference would be 7.222 ft. to find the area it would be pi(r) squared so it would be 16.62 sq ft

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The Chocolate House specializes in hand-dipped chocolates for special occasions. Three employees do all of the product packaging

kirza4 [7]

Answer:

Step-by-step explanation:

given that the Chocolate House specializes in hand-dipped chocolates for special occasions. Three employees do all of the product packaging

Clerk I II III total

Pack 0.33 0.23 0.44 1

Defective 0.02 0.025 0.015

Pack&def 0.0066 0.00575 0.0066 0.01895

a) probability that a randomly selected box of chocolates was packed by Clerk 2 and does not contain any defective chocolate

= P(II clerk) -P(II clerk and defective) = $0.23-0.00575=0.22425$

b) the probability that a randomly selected box contains defective chocolate=P(I and def)+P(ii and def)+P(iiiand def)

=0.01895

c) Suppose a randomly selected box of chocolates is defective. The probability that it was packaged by Clerk 3

=P(clerk 3 and def)/P(defective)

= $\frac{0.0066}{0.01895} \\=0.348285$

8 0

4 years ago

Explain how you could use the conversion table to convert 700 centimeters to meters.

Kay [80]

Yes
hope this is understandably sure right easy for you

8 0

4 years ago

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

3 years ago

In a first aid kit, the ratio of large bandages to small bandages is 1 to 6. Based on this ratio, how many small bandages are in

Tju [1.3M]

-1113638484 slamszkkdnend

7 0

3 years ago

if a 35 year old women has averaged 8 hours of sleep each 24 hours how many days of her life has she spent

Masteriza [31]

(8•365)•35 is the correct answer because 8 hrs of sleep each day times 365 days in a year = 2920 hrs slept in one year. Now you must take 2920 and multiply it by the 35 years she has been alive to get 102,200 hrs of sleep.

4 0

3 years ago

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