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baherus [9]
3 years ago
14

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

er normally flows at a speed of 3 miles per hour. What must its speed be in order to transport particles that are 200 times as massive as usual? Round your answer to the nearest hundredth.
The speed of the river must be about BLANK miles per hour
Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0

Answer:

7.25

Step-by-step explanation:

200m/s^6 = m/3^6

s^6 = 200*3^6

s = 3*200^(1/6) = 7.25 mi/hr

Hope I helped!


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3|2z-4|-6&gt;12<br> Solve for z
mina [271]

Answer:

312z-41-6>12

subtract -41-6

312z-47>12

add it on both sides

312z-47>12

      +47   +47

312z>59

divide 312 to both sides

z<0.189

3 0
2 years ago
one interior angle of a polygon is a right angle and each of the other interior angles is 126°. Calculate the number of sides of
Vikentia [17]

Answer:

There are 7 sides.

Step-by-step explanation:

Let's Use the formula that states that the sum of the angles of an n-sided polygon is given by.

S=(n−2)180

Since we are given that the two angles are right, the angles and each of the remaining angles is 144.

And Therefore, the sum is:

S=90

(n−2)144

(n−2)180

=90

+90

+(n−2)144

⇒(n−2)180

−(n−2)144

=180

⇒(n−2)(180

−144

)=180

⇒(n−2)(36

=180

⇒n−2=

36

180

​⇒n−2=5

⇒n=5+2=7

Hence, the polygon has 7 sides.

6 0
2 years ago
Read 2 more answers
Write all integers between:<br><br>a. -17 and -12<br><br>b. -1 and -6<br><br>​
egoroff_w [7]

Answer:

look at explanation

Step-by-step explanation:

a) -13,-14,-15,-16

b) -2,-3,-4,-5

5 0
2 years ago
A Rectangle is removed from a right triangle to create the shaded region below. Find the area of the shaded region be sure to in
Scorpion4ik [409]

The given shapes area is found to be 4 square yards.

Step-by-step explanation:

Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.

Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards

Area of the triangle = \frac{1}{2} * base * height = \frac{1}{2} * 5 * 4 = 10 square yards.

The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.

Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.

Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.

Area of given shape = Area of the triangle - Area of the rectangle.

Area of given shape = 10 square yards - 6 square yards = 4 square yards.

7 0
3 years ago
How, do you divide big numbers.
Triss [41]

Answer:

hope this helps!   :)

Step-by-step explanation:

Partition the primary number of the profit (or the two first numbers if the past advance took another digit) by the principal digit of the divisor. Compose the consequence of this division in the space of the remainder. Increase the digit of the remainder by the divisor, compose the outcome underneath the profit and deduct it

7 0
3 years ago
Read 2 more answers
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