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s2008m [1.1K]
3 years ago
12

Suppose a tank leaks toxic chemicals. The area affected is a circle centered on the tank. When the spill is first noticed, the c

ircle has a radius of 60 meters. A response team arrives 70 minutes later, by which time the affected area has grown to a circle with a radius of 80 meters.
Required:
How rapidly was the radius of the spill changing between the time the spill was noticed and the arrival of the response team?
Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

Answer:

0.5 ft per min

Step-by-step explanation:

in 80 minutes the radius expanded by 40%

we can set up a proportion of percent change over minutes:

.4/80 = r/1

cross-multiply to get:

80r = .4

r = .005 or 1/2 of a foot per minute.

Hope It Helps :)

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Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.
kifflom [539]

Answer:

parallel: -1/2

perpendicular: 2

Step-by-step explanation:

lines that are parallel have the same slope because they never intersect

lines that perpendicular, have the opposite reciprocal slope.

y = mx + b

where m is the slope

y = -1/2x + 6

-1/2 is the slope.

the slope in the equation given: -1/2

the slope parallel to the line given : -1/2

the slope perpendicular : opposite reciprocal, so the opposite of -1/2 is 1/2 and the reciprocal of 1/2 is 2.

3 0
2 years ago
Which number below is a prime number? O A. 61 OB. 102 O C. 75 O D. 64​
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

61 is divisible by itself and 1. It's prime.

102 ends in a 2. Therefore it is not prime because it can be divided by 2,

75 = 3*5*5 not prime.

64 = 2 * 2 * 2 *2 * 2*2 Not prime.

3 0
3 years ago
Question 3 (5 points)
Vedmedyk [2.9K]

A quadrilateral that has all congruent sides and all right angles is known as a square.

Given is a quadrilateral with all right angles and congruent sides.

<h3>What is a Quadrilateral?</h3>

A four-sided polygon having four sides and four corners is referred to as a quadrilateral in geometry .

<h3>What are Congruent sides?</h3>

Congruent sides refers to a figure's sides being equal to one another.

We know that,

A square is a quadrilateral with angles that are each 90 degrees.

Additionally, a square has four equal sides, making it a quadrilateral having all  sides congruent.

As a result, a square is a quadrilateral with congruent sides and all right angles.

Learn more about quadrilateral here:

brainly.com/question/16691874

#SPJ9

4 0
1 year ago
One out of every 5 students forgot a to bring a pencil to math class today.
Harman [31]
24 students forget their pencil out of 120 students.
7 0
2 years ago
Read 2 more answers
What is an equivalent expression of 12+18n+7-14n
Harman [31]
The equivalent expression -

4n + 19
7 0
3 years ago
Read 2 more answers
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