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Charra [1.4K]
2 years ago
6

A rectangular box has dimensions 12 by 16 by 21, as shown here:

Mathematics
1 answer:
professor190 [17]2 years ago
3 0

Answer: 29

Step-by-step explanation:

d = √(l2 + w2 + h2)

d = √(12^2+ 16^2+ 21^2) = 29

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3/4 part of a rope is 150m. find the length of 7/10 part of the rope
a_sh-v [17]

Answer:

140m

Step-by-step explanation:

3/4 = .75

x/.7 = 150/.75

multiply both sides by .7

x = 150/.75 * .7

x = 140m

6 0
2 years ago
Consider function f.
tekilochka [14]

Given:

The function is:

f(x)=\sqrt{7x-21}

To find:

The steps of finding the inverse function f^{-1}(x).

Solution:

We have,

f(x)=\sqrt{7x-21}

The steps of finding the inverse function are:

Step 1: Substitute f(x)=y.

y=\sqrt{7x-21}

Step 2: Interchange x and y.

x=\sqrt{7y-21}

Step 3: Taking square on both sides, we get

x^2=7y-21

Step 4: Adding 21 on both sides, we get

x^2+21=7y

Step 5: Divide both sides by 7.

\dfrac{1}{7}x^2+3=y

Step 6: Substitute y=f^{-1}(x).

\dfrac{1}{7}x^2+3=f^{-1}(x), where x\geq 0.

Therefore, the inverse of the given function is f^{-1}(x)=\dfrac{1}{7}x^2+3 and the arrangement of steps is shown above.

7 0
3 years ago
A rectangle or prism has a volume of 60 cm³ a height of 3 cm the length of 5 cm what is the width of the prism
igomit [66]

Answer:

                                                                                             

Step-by-step explanation:

6 0
2 years ago
Can i please have some help??
Sliva [168]

Answer:

No solution

Step-by-step explanation:

When lines are parallel, they do not intersect and they do not have a solution.

Thank You

Hope it helps u

3 0
3 years ago
Out of the three, 0.4, 0.42, and 0.41, which one is bigger?
Vedmedyk [2.9K]

Answer:.42


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
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