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3 years ago

PLZ HELP! I'LL GIVE BRAINLIEST!!

Mathematics

1 answer:

juin [17]3 years ago

4 0

The measure of the exterior angle is

124.5

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What's the pattern?<br> 1,2,4,8,16.....

Inessa05 [86]

You have to add the last number to itself. So the next number would be 32 because 16 + 16 equals 32. Then you add 32 + 32 so the next number would be 64
1, 2, 4, 8, 16, 32, 64, 128

7 0

3 years ago

A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa

Gnesinka [82]

Answer:

The value of x would be $\frac{5}{3}$

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

$V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3$

Differentiating with respect to x,

$V'=100 - 80x + 12x^2$

Again differentiating with respect to x,

$V''=-80 + 24x$

For maxima or minima,

$V'=0$

$\implies 100 - 80x + 12x^2 = 0$

$\implies 3x^2 - 20x + 25=0$

By quadratic formula,

$x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}$

$x=\frac{20\pm \sqrt{400 - 300}}{6}$

$x=\frac{20\pm \sqrt{100}}{6}$

$x=\frac{20\pm 10}{6}$

$\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5$

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0

3 years ago

Plzz help!!!!<br><br> Which set of ordered pairs corresponds to the graph?

adelina 88 [10]

Answer:

Option 3rd is correct

Step-by-step explanation:

(1,-6),(2,-4),(2,-2),(4,-2),(6,0)

5 0

3 years ago

Read 2 more answers

Help limited time!!!

CaHeK987 [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

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Find the median of the data

nadya68 [22]

The median is the middle number of the data plot. Since there 30 numbers, there isn't a exact middle. To find the median you must add the two middle number then divide by 2.

In this case you must add 87 and 88 which gives 175.

Then divide 175 by 2 which gives 87.5

87.5 is the median

5 0

3 years ago