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3 years ago

PLS HELP WILL MARK BRAINLIEST

Mathematics

1 answer:

gavmur [86]3 years ago

4 0

Answer:

1. Rolling a number less than 5

The numbers on a standard dice are 1, 2, 3, 4, 5, and 6. Therefore it is possible to roll a 6, but it is much more likely to be 1-5, simply because there are more of them.

2. Rolling a 2

Again, it is more likely that the result will be one of the other 5 numbers. But obviously a 2 is still an option, so it's not impossible.

3. Rolling a number less than 10

Every option is less than 10 so it is certain.

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Prove that f(x)=x+3/2 and g(x)=2x-3are inverse

goldfiish [28.3K]

Answer:

Proofs

Step-by-step explanation:

$f(x) = x + \frac{3}{2}$

$y = x + \frac{3}{2}$

$x = y + \frac{3}{2}$

$x - \frac{3}{2} = y$

${f}^{ - 1} (x) = x - \frac{3}{2}$

They are not inverse because f^-1(x) = x - 3/2 is not the inverse to g(x) = 2x - 3.

5 0

3 years ago

Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass

Ratling [72]

The solution would be like this for this specific problem:

Volume of a cylinder = pi * r^2 * h

Volume of a cone = 1/3 * pi * r^2 * h

Total Height = 47

Height of the cone = 12

Height of the cylinder = 35

If the top half is filled with sand, then:

volume (sand) = pi * 4^2 * 36

volume (cone) = 1/3 * pi * 4^2 * 12

Total volume = 1960.353816 cubic millimeters

353816 / (10 * pi) = 62.4 seconds.

It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.

8 0

2 years ago

Point A is located at (5, 10) and point B is located at (20, 25).

Alla [95]

Let's say the point is C, so C partitions AB into two pieces, where AC is at a ratio of 3 and CB is at a ratio of 7, thus 3:7,

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
A(5,10)\qquad B(20,25)\qquad
\qquad 3:7
\\\\\\
\cfrac{AC}{CB} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(5,10)=3(20,25)\\\\
-------------------------------\\\\
{ C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\
-------------------------------$

$\bf C=\left(\cfrac{(7\cdot 5)+(3\cdot 20)}{3+7}\quad ,\quad \cfrac{(7\cdot 10)+(3\cdot 25)}{3+7}\right)
\\\\\\
C=\left( \cfrac{35+60}{10}~~,~~\cfrac{70+75}{10} \right)\implies C=\left(\cfrac{95}{10}~~,~~\cfrac{145}{10} \right)
\\\\\\
C=\left( \cfrac{19}{2}~~,~~\cfrac{29}{2} \right)\implies C=\left( 9\frac{1}{2}~~,~~14\frac{1}{2} \right)$

8 0

3 years ago

In a given figure if o is the centre of circle and oabc is a parallelogram find the value of abc

ahrayia [7]

From the given information, we get the value of ABC = 120°.

<h3>How to estimate the value of ABC?</h3>

Given: In the figure, O exists the center of the circle and OABC exists as a parallelogram.

Now, the radius of the circle exists

OA = OB = OC

Opposite sides of a parallelogram are equal

AB = OC and OA = BC

In ∆OAB,

OA = OB = AB and,

In ∆OCB,

OC = OB = BC

Therefore, ∆OAB and ∆OCB exist in equilateral triangles.

All angles of an equilateral triangle are equivalent to 60°.

Hence, ∠ABC = ∠OBA + ∠OBC

∠ABC = 60° + 60°

∠ABC = 120°

Therefore, the value of ∠ABC = 120°.

To learn more about parallelogram refer to:

brainly.com/question/24291122

#SPJ9

6 0

1 year ago

saima makes 14 muffins to give to her friends she wants to give 2 muffins to each friends at her party

IgorLugansk [536]

Answer:

7 friends

Step-by-step explanation:

14 divided by 2

8 0

3 years ago