I need the answer to this ASAP!!!! 30 points!!!

there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.

Total members = 10

number of positions = 4

Now, we will use permutations.

So, we get that:

Number of ways = 10 × 9 × 8 × 7

Number of ways = 90 × 56

Number of ways = 5040 ways

Therefore, we get that, there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.

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Answer:

- 28

Step-by-step explanation:

Determinant of matrix J is

- 2(5) - 3(6) = - 28

Answer:

45°

Step-by-step explanation:

A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).

For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).

Consecutive angles are supplementary that is ∠A + ∠B = 180°.

The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.

In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:

∠H = ∠J (opposite angles of a parallelogram are equal)

∠J = 45°

[tex]\huge{\underline{\underline{\sf{\red{Required\:Solution:-}}}}}[/tex]

[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{7}{2}cm}}[/tex]

[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 14cm}}[/tex]

[tex]\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}[/tex]

Substitute the values and simplify it

[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times \bigg(\frac{7}{2}^{2} \bigg)\times14}}[/tex]

[tex]\large{\boxed{\sf{\orange{= 539 cm^{3}}}}}[/tex]

[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{14}{2}cm=7cm}}[/tex]

[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 7cm}}[/tex]

[tex]\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}[/tex]

Substitute the values and simplify it.

[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times (7^{2})\times7}}[/tex]

[tex]\large{\boxed{\sf{\green{= 1078 cm^{3}}}}}[/tex]

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Answer:1/4

Step-by-step explanation:

10/40

1/4

Answer:

The volume of a sphere with 6 inch radius is 36(pi) cubic inches or approximately 113 cubic inches.

Step-by-step explanation:

hope it helps, please mark as brainliest

The volume of the given sphere is 113.04in³

The volume of a sphere of radius R is given by the formula:

V = (4/3)*3.14*R³

Here we know that the diameter is 6 inches, and the radius is half of that, then the radius is:

R = 6in/2 = 3in

Replacing that in the formula we will get:

V = (4/3)*3.14(3in)³

V = 113.04in³

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Answer: 10x36

Step-by-step explanation: 5x18 multiply by 2 and 2. 5 times 2 is 10 and 18 times 2 is 36.

Answer:

B. The other number is located above 6 1/2 on the vertical number line.

Step-by-step explanation:

Given

[tex]Lesser\ Number = 6\frac{1}{2}[/tex]

Let the other number be n such that:

[tex]n > 6\frac{1}{2}[/tex]

On a horizontal number line; number increases from left to right.

This means that n will be at the right and [tex]6\frac{1}{2}[/tex] will be at the left

Or

On a vertical number line; number increases from bottom to top.

This means that n will be at the top and [tex]6\frac{1}{2}[/tex] will be at the bottom

From the list of given options, option B is correct.

Answer:

3×x -3×2=-6

or,3x-6=-6

or,3x=-6+6

or,x=0/3

therefore=x =1 answer

Answer:

x = 0

Step-by-step explanation:

Distribute the left side

3(x-2) = -6

3x-6 = -6

Add 6 to both sides

3x = 0

Divide both sides by 3

x = 0/3

x = 0

Based on the calculations using the midpoint rule, the value of point S is equal to (10, 12).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

3 = (-4 + x₂)/2

Cross-multiplying, we have:

6 = -4 + x₂

x₂ = 6 + 4

x₂ of S = 10.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

3 = (-6 + y₂)/2

Cross-multiplying, we have:

6 = -6 + y₂

y₂ = 6 + 6

y₂ of S = 12.

Therefore, point S is equal to (10, 12).

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Answer/explanation:

X=-8

Answer:

The answer is adding 7 to both sides.

Step-by-step explanation:

5x-7=18

  +7  +7

5x= 25

x=5

Answer:

Answer: Adding 7 to both sides.

Step-by-step explanation:

You always do the "inverse" of the number without the variable next to it and either "add" or "subtract" it to the other side.

Ex: 7x - 3 = 18

In this case, you would add the 3 to the other side.

7x - 3 = 18

    + 3    +3

7x = 21

7x    7x

x = 3

When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.

Given,

Carlos born on November 9 2002 which was Saturday

We know,

1 week = 7 days

100 week = 700 days

The 700th day will be Saturday. because the days will repeat every 7 days

707th day will be Saturday, therefore

706th day will be Friday

Hence, When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.

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Answer:

x = -3

Step-by-step explanation:

Answer:

3, 5.38, 66, V21

Step-by-step explanation:

I assumed that V was the roman numeral V, which is equivalent to the number 5. I then multiplied 5 by 21 which is 105. If this is not the case and they simply wanted us to replace the v with a 5, then the answer would still be correct because 521 is greater than all the numbers in this set. Hope this helps.

Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

[tex]\:c=\sqrt{a^2+b^2}[/tex]

substituting a=5, b=20

[tex]c=\sqrt{5^2+20^2}[/tex]

[tex]c=5\sqrt{17}[/tex]

[tex]c=20.6[/tex] ft

Thus, the tree is 20.6 ft tall.

Answer:

Y = 0x + b

2 = 0 + b, b = 2

Y = 2

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y-y1=m(x-x1)

y-(-2)=1(x-(-4))

y+2=x+4

y=x+4-2

y=x+2

Parallel lines have same slopes.

Answer:

what does a pokemon do when your in the shower

Step-by-step explanation:

pikachu

Answer:

A woman is walking through the woods at night with a serial killer.

She says to her companion, "Man, this forest is really creepy at night. I wish we weren't out here."

He replies, "You think you have it bad? I have to walk home alone!"

Answer:

14

Step-by-step explanation:

math

Answer:

14

Step-by-step explanation:

Answer:

its 4+(-10)

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

The GCF is 6

Step-by-step explanation:

Answer:

The GCF of 6 and 18 = 6

Step-by-step explanation:

Happy Holidays ❄️☃️

Im happy to help :]

The complete table is given below:

  ITEM                                   W(E)                               W(M)

  Apple                                 150 g                               25 g

  Hammer                            1.5 lbs                             0.25 lbs

  Person                              180 lbs                              30 lbs

  Blue whale                      200 tons                          33.3 tons

Here, we are given that the force of gravity on the moon is only 16.6% the force of gravity on Earth.

This means that for an object of mass 'm' -

F(M) = 16.6% of F(E)

This means that a person would weigh six times less on the moon than they do on Earth

W(moon) =  [W(earth)]/6

Thus, we can complete the table as follows-

  ITEM                                   W(E)                               W(M)

  Apple                                 150 g                        1/6 x 150 = 25 g

  Hammer                            1.5 lbs                        1/6 x 1.5 = 0.25 lbs

  Person                              180 lbs                       1/6 x 180 = 30 lbs

  Blue whale                      200 tons                     1/6 x 200 =  33.3 tons

Hence, the complete table is given above.

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Your question was incomplete. Check for the missing table below.

Answer: 3x^2+16x-12

Step-by-step explanation:

Answer:

n<30

Step-by-step explanation:

have a great day

Answer:

$0.50

Step-by-step explanation:

2/4=0.5

Answer:

50 cents per roll

Step-by-step explanation:

$2 / 4rolls

2 / 4

2 ÷ 4 = 0.5

50 cents /roll

We have proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷  .

In the given question

we have to prove that

(2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷

For proving we will solve the LHS and RHS separately and then equate them .

First Solving LHS

we have

=(2*10²)*(3*10⁵)

=(2*3)*(10²*10⁵)

=6*10²⁺⁵       ...( because aⁿ.aˣ = aⁿ⁺ˣ )

=6*10⁷    ...(i)

Now solving RHS

we have

=3.5*10⁷+2.5*10⁷

taking 10⁷ common , we get

=(3.5+2.5)*10⁷

Adding the terms in the bracket we get

=6*10⁷     ...(ii)

As we can see that from equation (i) and (ii) we have LHS=RHS

Hence proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷

Therefore , Proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷  .

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Answer:

Area of the shaded region 85 square inches

Step-by-step explanation:

10(width)x8(height)=80

Triangle on the right= (8x5)/2=20

Triangle on the left=(8x5)/2=20

Both triangles' area=40

80+40=120

Not shaded area=5x7=35

120-35=85