1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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 :)

You might be interested in
In which of the following expressions is 5 a coefficient?
MA_775_DIABLO [31]

Answer:

5y+4z

Step-by-step explanation:

A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

8 0
3 years ago
2/5 and 3/8 common denominator
Nat2105 [25]

Answer:

40

Step-by-step explanation:

The common denominator = 5×8

= 40

6 0
3 years ago
Read 2 more answers
One angle of a triangle has a measure of 66. The measure of the third angle is 57 more than half the measure of the second angle
Sonja [21]
1st angle → ∠ A = 66
2nd angle →∠ B = x
3rd angle → ∠ C = 57+ x/2

A + B + C =180°
66°+x°+57°+x/2 = 180°
Solve for x and you will find x = 38°
So, the 1st Angle = 66°
the 2nd = 38°
the 3rd = 57+38/2 = 76°
Proof: 66+38+76 = 180°


8 0
3 years ago
How many solutions does the equation y=-7x+3 and y+7x=10 have
Gnoma [55]

Answer:

Step-by-step explanation:

y=-7x+3

y+7x=3

y+7x=10

no solution.

5 0
3 years ago
The tip of a solid metal cone was placed into a cube that has 10 inch edges, as shown.
Licemer1 [7]

Answer:

r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in

Step-by-step explanation:

If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, then the difference in volumes is the volume of the submerged portion of the cone.

Initially, 10 in by 10 in by 6 in:

V_{initial}=10\cdot 10\cdot 6=600\ in^2.

At he end, 10 in by 10 in by 8 in:

V_{final}=10\cdot 10\cdot 8=800\ in^3.

Thus,

V_{submerged \ cone}=800-600=200\ in^3.

Use cone's volume formula

V_{cone}=\dfrac{1}{3}\pi r^2 \cdot h,

where r is the radius of the cone's base, h is the height of the cone.

From the diagram, h=8 in, then

200=\dfrac{1}{3}\cdot \pi\cdot r^2\cdot 8\\ \\\pi r^2=75\\ \\r^2=\dfrac{75}{\pi}\\ \\r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in

7 0
3 years ago
Other questions:
  • 144 divided by u=12 please help me
    5·2 answers
  • The formula for volume of this rectangular prism is: v=2x3+17x2+46x+40
    9·1 answer
  • Write the ratio 54 inches to 7 feet as a fraction in simplest form.
    13·1 answer
  • A jogger runs 6 miles per hour faster downhill than uphill. If the jogger can run 5 miles downhill in the same time that it take
    5·1 answer
  • The length of a rectangle is 2 ft longer than its width.
    15·1 answer
  • each student in ms sikes's kindergarten class has a box of crayons. each box has 36 crayons.if there are 18 students in ms sikes
    10·2 answers
  • Factor <img src="https://tex.z-dn.net/?f=x%5E2-2x%2B3" id="TexFormula1" title="x^2-2x+3" alt="x^2-2x+3" align="absmiddle" class=
    8·2 answers
  • Question 10 pls help
    5·1 answer
  • Pls help! I really need help so if anyone could help me that would be good-
    10·1 answer
  • A straight line is drawn and divided into two angles. One angle is 75°. What is the measurement of the unknown angle?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!