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PSYCHO15rus [73]
3 years ago
6

Find the value of w in the pentagon below if the perimeter is 105 meters.

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer: 9 (with a margin of: 0)

Step-by-step explanation:

Times everything by 5

That gives you 15 + 10w = 105.

Subtract 15 from both sides

Divide by 10 to get w by itself

Then you solve

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7 1/2 lb =_oz<br> please help me
KonstantinChe [14]
1 lb is equal to 16 oz, therefore 16 * 7 is 112oz then add 1/2 lb which is 8oz so the final answer is 120 oz
3 0
3 years ago
(9y® + 2)2 =<br> combine like terms
Vsevolod [243]

Answer:

81y^2+36y+4

Step-by-step explanation:

First: 9y^2= 81y

Next: 2^2= 4

Then: 9y times 2= 18

Last: 18 times 2= 36y

(this : ^2 means squared in case you did not know)

4 0
4 years ago
For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

3 0
3 years ago
A pot contains 25 ounces of soil. You use 4 1/4
Wewaii [24]

Answer: multiply 4 1/4 by 5 then see if you have enough .

Step-by-step explanation: multiply 4 1/4 by 5 because you have used 1 herb already so if you do that you could have enough in there to pot 5 .

6 0
3 years ago
A group of rectangular prisms is shown.
scoray [572]

Answer:

D, E and F

calculating the volume of regular bodies like prims works by multiplication alone.

you need some addition for surface area and for more complicated bodies that when the volume can't be calculated in one step

8 0
3 years ago
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