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3 years ago

Help please!! Branniest answer will be given!

Mathematics

1 answer:

Levart [38]3 years ago

6 0

Answer:

Step-by-step explanation:

area of triangle 1/2 b×h

1/2 10×6=30m^×

Mark me brainliestt

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What is the equation to the line that goes through the point

DochEvi [55]

Step-by-step explanation:

perpendicular slope is negative reciprocal. -1/-1 = 1

y - 4 = x +3

y = x + 7

5 0

3 years ago

Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large

Debora [2.8K]

Answer:

x = 1,6 in ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in w = 8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x ) and ( w - 2*x ) and x is the height

( 12 - 2*x ) and ( w - 2*x )

V(ob) = (L - 2*x ) * ( - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0 12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10 We dismiss this solution since 2*x becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x ; a = 12 - 3,20 ; a = 8,8 in

b = 8 - 2*x ; b = 8 - 3,20 ; b = 4,80 in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max) = 67,58 in³

How do we Know that is the maximun value for V?

We find V´´(x) = 24*x - 80 for x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has a local maximun for a value of x = 1,6

3 0

3 years ago

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbp

Lapatulllka [165]

Answer:

a. 54.05 Mpbs.

b. 2.745... standard deviations.

c. The z-score is 2.745....

d. The carrier's highest data speed is significantly high.

Step-by-step explanation:

a. The difference between the highest measured data speed and the mean is 72.6 - 18.55 = 54.05 Mbps.

b. The amount of standard deviations of 54.05 Mbps is equal to this value divided by the standard deviations, so we yield $\frac{54.05}{19.69} = 2.745...$ standard deviations.

c. The z-score is equal to the difference between the mean and a data point in standard deviations, so the z-score is 2.745....

d. 2.745... is not between -2 and 2, so the carrier's highest data speed is not insignificant - so it's significantly high.

8 0

3 years ago

ASAP please help this is a test 20 points ????

zubka84 [21]

Answer:

slope = x=4

the slope is undefined

Step-by-step explanation:

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3 years ago

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Help me solve this problem please

mel-nik [20]

It’s only a vertical angle

7 0

3 years ago