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True [87]
2 years ago
12

Please help D=1/3fk solve for k

Mathematics
1 answer:
masha68 [24]2 years ago
8 0

Answer:

<h2>k =  \frac{3D}{f}</h2>

Step-by-step explanation:

<h3>D =  \frac{1}{3} fk</h3>

To solve for k first multiply both sides by 3

That's

<h3>3D = fk</h3>

Next divide both sides by f in order to isolate k

We have

<h3>\frac{fk}{f}  =  \frac{3D}{f}</h3>

Simplify

We have the final answer as

<h3>k =  \frac{3D}{f}</h3>

Hope this helps you

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The construction of an 80-meter bridge was finished in 12 weeks. How much of the bridge was built on average each week?
VMariaS [17]

Answer: <em>6.6 meters a week</em>

Step-by-step explanation:

<em>This problem is quite simple</em>

<em>You take 80 and divide it by 12</em>

<em>80/12 </em>

<em>which equals</em>

<em>6.6</em>

3 0
2 years ago
. A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1 ft/sec, and the bottom of the l
Vlada [557]

Answer:

0.75 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.

So we can set a Pythagoras theorem as:

x^2+y^2=25^2

x^2+y^2=625

Now, we need to find the derivative of above equation with respect to time.

2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0

Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be: 20-1(5)=20-5=15

Let us solve for y using Pythagoras theorem.

y^2+15^2=25^2

y^2+225=625

y^2=625-225

y^2=400

Take positive square root:

\sqrt{y^2}=\sqrt{400}

y=20

Upon substituting our given values in derivative equation, we will get:

2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0

2(15)\cdot(-1)+2(20)\cdot \frac{dy}{dt}=0

-30+40\cdot \frac{dy}{dt}=0

40\cdot \frac{dy}{dt}=30

\frac{dy}{dt}=\frac{30}{40}

\frac{dy}{dt}=0.75

Therefore, the ladder is moving up at a rate of 0.75 feet per second.

3 0
2 years ago
85% of a number is added to 24, the result is the same number find the number. ​
hammer [34]

Answer:

160

Step-by-step explanation:

3 0
2 years ago
Circle D is shown with the measures of the minor arcs. Which segments are congruent? EH and EF GH and FE FG and EH EF and GF
elixir [45]
I can't really answer this problem if we focus only on the given information. However, I found a similar problem to this with a given diagram. This is shown in the picture attached. As you can observe, two arcs have equal measures of 65° and two have measures of 115°. Thus, the congruent arcs are: <em>EH = HG and EF = GF.</em>

6 0
2 years ago
Read 2 more answers
the table shows different ways that cameron can display his 12 model cars on shelves. How many shelves will display 2 cars if 8
Lera25 [3.4K]

Answer:

4 shelves

Step-by-step explanation:

if there is 8 shelves that display 1 car then that means there is 8 cars total.

so if you need a total of 12 cars then you would do (total of cars needed - total of cars you have).

(12-8) which would equal 4.

you need 4 cars left but on each shelf going forward needs to have 2 cars on it.

now since you have 4 cars you would divide that by the amount of cars on each shelf going forward.

4/2) which equals 2.

you need 2 more shelfs for the 4 cars needed.

3 0
2 years ago
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