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Pavel [41]
3 years ago
8

A carpenter has a board that is 10 feet long. He wants to make 6 table legs that are all the same length. What is the longest ea

ch leg can be?
Mathematics
2 answers:
Crank3 years ago
8 0
First, you would need to create an equation for this problem. 
10 ft ÷ 6 
<span>
Now, all you would have to do is solve it. 
</span>10 ft ÷ 6 = 1.66666666667 ft<span>

The longest each leg can be is </span><span>1.66666666667 ft. 
But, if you want it rounded to the nearest foot, each leg would be 1 ft long. 

I hope this helps!</span>
Zielflug [23.3K]3 years ago
3 0
1 board that is 10 feet long and make that into 6 table legs. Take the amount we have over the amount we want, so 10 over 6 which is 1.6666667 feet which is the longest each leg can be for a 10-foot board.
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How do I solve this????
Arlecino [84]
Let's say the numbers are "a" and "b"
hmm say "a" is the smaller, and "b" the greater

so "b" is "4 more than 5 times" "a"

so... 5 times "a" is 5*a or 5a
4 more than "that", will be "that" + 4
or
5a + 4

so.. whatever "a" is, "b" is 5a+4

now, their sum is 22, as opposed to "zz" hehe

so       \bf \begin{cases}&#10;a+b=22\\&#10;--------------\\&#10;\boxed{b}=5a+4\qquad thus\\&#10;--------------\\&#10;a+\boxed{5a+4}=22&#10;\end{cases}

solve for "a", to see what the smaller one is

what's "b"?  well, b = 5a + 4
3 0
3 years ago
To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x
Fiesta28 [93]

Given function is

f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

kx^2-5

so RHD= k(-4)^2-5

Now set both equal

k(-4)^2-5=3(-4)+k

16k-5=-12+k

16k-k=-12+5

15k=-7

k=-\frac{7}{15}

k=-0.47

<u>Hence final answer is -0.47.</u>




7 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 2x+8y -64 Fully reduce your answer.
Lelechka [254]

Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!

Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8

6 0
3 years ago
A horse walks around a circular track while its trainer stands in the center. The trainer is 14 feet from the horse at all times
max2010maxim [7]

The horse traveled 439.6 feet after walking around the track 5 times

<u><em>Solution:</em></u>

Given that, horse walks around a circular track while its trainer stands in the center

The trainer is 14 feet from the horse at all times

Therefore, radius of circular track = 14 feet

The circumference of circle is the distance traveled by horse for 1 lap

<em><u>The circumference of circle is given as:</u></em>

C = 2 \pi r

Where, "r" is the radius and \pi is a constant equal to 3.14

C = 2 \times 3.14 \times 14\\\\C = 87.92

Thus the distance traveled by horse for one time in circular track is 87.92 feet

<em><u>About how far had the horse traveled after walking around the track 5 times? </u></em>

Multiply the circumference by 5

distance = 5 \times 87.92\\\\distance = 439.6

Thus the horse traveled 439.6 feet after walking around the track 5 times

5 0
3 years ago
Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml
vovikov84 [41]

Answer: 0.3439

Step-by-step explanation:

Given :The last four digits for telephone numbers are randomly selected​ (with replacement).

Here , each position can be occupied with any of the digit independently .

Total digits = 10

Total digits other than 0 = 9

For each digits , the probability that it is not 0 = \dfrac{9}{10}=0.9

If we select 4 digits , The probability of getting no 0 =(0.9)^4 =0.6561

(By multiplication rule of independent events)

Now , the probability that for one such phone​ number, the last four digits include at least one 0. = 1- P(none of them is 0)

=1- 0.6561=0.3439

Hence, the probability that for one such phone​ number, the last four digits include at least one 0. is 0.3439 .

4 0
3 years ago
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