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Montano1993 [528]
3 years ago
15

The perimeter of a regular hexagon is 6x + 30. What is the length of each side of the hexagon?

Mathematics
1 answer:
Fofino [41]3 years ago
4 0

Answer:

x + 5

Step-by-step explanation:

This is actually rather simple to figure out. Simply divide 6x + 30 by 6. That should get x + 5 for the length of one side.

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Z wants to buy five shirts worth 34 dollars each and three baseball caps worth 31
ella [17]

Answer:

$199.50

Step-by-step explanation:

10% discount of $34 = 10/100*34 = $3.40

so, a single shirt costs $34-$3.40 = $30.60

half off = 50% discount of $31 = 50/100*31 = $15.50

so, a single cap costs $31-$15.50 = $15.50

so, 5 shirts and 3 caps cost now

5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50

but careful - can this be a trick question ?

the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).

then it would just plainly be

5*$34 + 3*$31 = $170 + $93 = $263

4 0
3 years ago
How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from? 720 20,160 40,320 48?
Rudik [331]
The number of permutations of 8 people taken 6 at a time is given by:
8P6=\frac{8!}{(8-6)!}=20,160

5 0
3 years ago
Read 2 more answers
Simplify 64<br> <br> A. 4<br> B. -4<br> C. 8<br> D. 32
kkurt [141]
The answer is c. Because 8*8=64
4 0
3 years ago
Read 2 more answers
The ratio of a to b is 2:3, and the ratio of a to c is 3: 10. What is the ratio of b to c?
Stolb23 [73]

Answer: 3:10

Step-by-step explanation:

From the question, b= 3; c=10

Ratio of b:c will be

the value of b:value of c

=3:10

I hope you understand

4 0
3 years ago
Read 2 more answers
The function f(x)=Acosh(Cx)+Bsinh(Cx). I need help determining the value of constant C&gt;0 when the second derivative f''(x)=25
Rus_ich [418]

Answer:

C = 5.

Step-by-step explanation:

First, you need to remember that:

For the function:

h(x) = Sinh(k*x)

We have:

h'(x) = k*Cosh(k*x)

and for the Cosh function:

g(x) = Cosh(k*x)

g'(x) = k*Cosh(k*x).

Now let's go to our problem:

We have f(x) = A*cosh(C*x) + B*Sinh(C*x)

We want to find the value of C such that:

f''(x) = 25*f(x)

So let's derive f(x):

f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)

and again:

f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)

f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)

And we wanted to get:

f''(x) = 25*f(x) = C^2*f(x)

then:

25 = C^2

√25 = C

And because we know that C > 0, we take the positive solution of the square root, then:

C = 5

6 0
2 years ago
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