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3 years ago

Please help with a Step by step!!! Will mark Brainliest

Mathematics

1 answer:

Dvinal [7]3 years ago

3 0

See the attached picture. You'll find a tree with four branches at level 1 (each of the four sectors of the spinner). Each of these branches is divided in four sub-branches: the possible results of tossing two coins (HH, HT, TH, TT).

So, there are 16 possible outcomes (numbered below each leaf).

If you want to roll an odd number, you have to take branch 1 or 3 at first level.

Then, for each of those, you have to toss exactly one head, so you have to take HT or TH.

The good outcomes are thus 2, 3, 10 and 11, leading to a probability of 4/16=1/4=25%.

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A box witxh a height (x+5) cm has a square base with side x com. A second box with height (x+2) com has a square base with side

Eva8 [605]

Answer:

x=5.37 cm

Step-by-step explanation:

we know that

The volume of the box is

$V=Bh$

where

B is the area of the base of the box

h is the height of the box

we have that

The area of the base is

$B=x^2\ cm^2$

$h=(x+5)\ cm$

The volume of the Box 1

is equal to

$V_1=x^2(x+5)\ cm^3$

$V_1=(x^3+5x^2)\ cm^3$

we have that

The area of the base is

$B=(x+1)^2\ cm^2$

$h=(x+2)\ cm$

The volume of the Box 2

is equal to

$V_2=[(x+1)^2(x+2)]\ cm^3$

$V_2=[(x^2+2x+1)(x+2)]\ cm^3$

$V_2=(x^3+2x^2+x+2x^2+4x+2)\ cm^3$

$V_2=(x^3+4x^2+5x+2)\ cm^3$

Equate the equation of Volume 1 to the equation of Volume 2

$(x^3+5x^2)=(x^3+4x^2+5x+2)$

$(5x^2)=(4x^2+5x+2)$

$5x^2-4x^2-5x-2=0$

$x^2-5x-2=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=5.37 cm

see the attached figure

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The midpoint of AB is at ( − 5 , 2 ). If A = ( 10 , − 3 ), find B.

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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