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Amiraneli [1.4K]

2 years ago

3

A circular ring is to be stamped out with a hole in the middle. The hole will have a diameter of 42 inches as shown in the pictu

re below. About how big is the area of the ring?

1 answer:

alexira [117]2 years ago

8 0

The area is Pi times 21 squared

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Find the answer The weight of an elephant is 10 to the 3rd power times the weight of a cat .If the the elephant weighs 14,000 po

Hitman42 [59]

Answer:

$14\ pounds$

Below is the procedure that was used to find the answer.

Step-by-step explanation:

Let be "e" the weight in pounds of the elephant and "c" the weight in pounds of the cat.

According to the information provided in the exercise, we know that The weight of an elephant is $10^3$ times the weight of a cat. Based on this we can write the following equation:

$e=10^3c$

If the weight in pounds of the elephant is:

$e=14,000$

We must substitute this value into the equation and then solve for "c" in order to find the weight in pounds of the cat.

Then we get:

$14,000=10^3c\\\\\frac{14,000}{10^3}=c\\\\c=14$

3 0

2 years ago

At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Beng

ludmilkaskok [199]

Answer:

The given equation in slope intercept form is

226.50 = 7.5 (25) + 39

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat = $25 per hour

Let us assume the one time cleaning charge = $ k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used = 7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour ) = 7.5( $25) = $187 . 5

Total amount paid by the family = $226. 50 = Fixed cleaning charge + rate for 7.5 hours

⇒The cleaning fee paid by the family = $226. 50 - $187 . 5 = $39

According to question:

Total amount paid = Number of hour x (cost per hour ) + Cleaning fee

Hence, the given equation in slope intercept form is

226.50 = 7.5 ($25) + $39

8 0

2 years ago

The center of a hyperbola is located at (0, 0). One focus is located at (0, 5) and its associated directrix is represented by th

Lady bird [3.3K]

For a hyperbola $\dfrac{y^{2}}{a^{2}}-\dfrac{x^{2}}{b^{2}}=1$
where $a^{2}+b^{2}=c^{2}$
the directrix is the line $y=\dfrac{a^{2}}{c}$
and the focus is at (0, c).

Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
a = √9 = 3
b = √16 = 4

Your hyperbola's constants are ...
a = 3
b = 4

______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.

8 0

2 years ago

Read 2 more answers

67cd What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 67 6 7c d

Romashka-Z-Leto [24]

If your looking for greatest common factors they are 1,67, c,and d.

7 0

2 years ago

A factory received a shipment of 38 sprockets, and the vendor who sold the items knows there are 5 sprockets in the shipment tha

weeeeeb [17]

Answer:

a) 0.00019923%

b) 47.28%

Step-by-step explanation:

a) To find the probability of all sockets in the sample being defective, we can do the following:

The first socket will be in a group where 5 of the 38 sockets are defective, so the probability is 5/38

The second socket will be in a group where 4 of the 37 sockets are defective, as the first one picked is already defective, so the probability is 4/37

Expanding this, we have that the probability of having all 5 sockets defective is: (5/38)*(4/37)*(3/36)*(2/35)*(1/34) = 0.0000019923 = 0.00019923%

b) Following the same logic of (a), the first socket have a chance of 33/38 of not being defective, as we will pick it from a group where 33 of the 38 sockets are not defective. The second socket will have a chance of 32/37, and so on.

The probability will be (33/38)*(32/37)*(31/36)*(30/35)*(29/34) = 0.4728 = 47.28%

5 0

2 years ago