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2 years ago

I need help with this question! (20 POINTS)

Mathematics

2 answers:

zavuch27 [327]2 years ago

7 0

Answer:

A (1,5) (1,8) (4,8) (4,5) = Square

B (2,5) (2,8) (4,8) (4,5) = Rectangle

C (2,3) (4,6) (8,6) (10,3) = Trapezoid

D (2,1) (2,5) (6,5) (6,1) = Square

Step-by-step explanation:

Just enter the coordinates into Desmos graphing calculator.

Neporo4naja [7]2 years ago

5 0

Answer:

first box to square box, second box goes to rectangle box, third box and fourth box goes to trapezoid

Step-by-step explanation:

brainliest and tanks please

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Asif makes a cuboid of plasticine of sides 75cm, 35cm and 21cm. How many such cuboids will he need to form a cube?

algol [13]

Answer:

The number of cuboids that will be needed to form a cube is 2625 cuboids

Step-by-step explanation:

To form a cube, we have;

The length = The height = The depth

The dimensions of the given cuboid = Length = 75 cm, the width = 35 cm, the depth = 21 cm.

Therefore;

The lowest common multiple of 75, 35, and 21, for the cuboid is given as follows;

75 = 5 × 5 × 3

35 = 5 × 7

21 = 3 × 7

Therefore, multiplying 75 by 7, we get;

75 × 7 = 525

Since 7, 5 and 3 are factors of 525, 35 and 21, can also be factors as we check;

525/35 = 15

525/21 = 25

Therefore, the cube will be;

The length of the cube will consist of 7 pieces of the cuboid, arranged with the side 75 cm facing the front

The depth of the cuboid will be 15 cuboids with the side 35 cm facing the sides

The height of the cuboid will be 25 cuboids with the side 21 cm high

The total number of cuboids is therefore;

7 × 15 × 25 = 2625 cuboids

The number of cuboids that will be needed to form a cube = 2625 cuboids.

8 0

3 years ago

WILL MARK AS THE BRAINLIEST!! The volume of a cube depends on the length of its sides. This can be written in function notation

andre [41]

The answer is D.

"A cube with the side lengths of 4 feet has a volume of 64 cubic feet."

5 0

3 years ago

All of these ODEs model a system with a spring, mass and dashpot.

Wewaii [24]

Answer:

− 3 y ' ' − 3 y ' + 3 y = 0 : over-damped

− 2 y ' ' − 4 y ' + 1 y = 0 : over-damped

1 y ' ' + 7 y ' + 5 y = 0: over-damped

Step-by-step explanation:

Using the characteristic equation you can express a differential equation of order n as an algebraic equation of degree n:

$a_ny^n+a_n_-_1y^{n-1}+...+a_1y'+a_oy=0$

This differential equation will have a characteristic equation of the form:

$a_nr^n+a_n_-_1r^{n-1}+...+a_1r+a_o=0$

Now, you can classify the solution for a differential equation using a simple method. In order to do it, you just need to use the discriminant.

If the discriminant is greater than zero, the solution is over-damped

If the discriminant is less than zero, the solution is under-damped

If the discriminant is equal to zero, the solution is critically damped

So, given the differential equation:

$-3y''-3y+3y=0$

Which has characteristic equation of the form:

$-3r^2-3r+3=0$

The quadratic polynomial of the form:

$ar^2+br+c=0$

Has discriminant:

$Disc=b^2-4ac$

In this case:

$a=-3\\b=-3\\c=3$

So:

$Disc=(-3)^2-4(-3)(3)=9-(-36)=45$

In this case:

$Disc=45>0$

Therefore the solution is over-damped.

Now, given the differential equation:

$-2y''-4y'+1y=0$

Which has characteristic equation of the form:

$-2r^2-4r+1=0$

The quadratic polynomial of the form:

$ar^2+br+c=0$

Has discriminant:

$Disc=b^2-4ac$

In this case:

$a=-2\\b=-4\\c=1$

So:

$Disc=(-4)^2-4(-2)(1)=16+8=24$

In this case:

$Disc=24>0$

Therefore the solution is over-damped.

Finally, given the differential equation:

$1y''+7y'+5y=0$

Which has characteristic equation of the form:

$1r^2+7r+5=0$

The quadratic polynomial of the form:

$ar^2+br+c=0$

Has discriminant:

$Disc=b^2-4ac$

In this case:

$a=1\\b=7\\c=5$

So:

$Disc=(7)^2-4(1)(5)=49-20=29$

In this case:

$Disc=29>0$

Therefore the solution is over-damped.

6 0

3 years ago

An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are $E(1)= ^9C_2$ places in which the other 2 red balls can be placed.

A red ball drawn third, there are $E(3)= ^7C_2$ places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are $E(5)= ^5C_2$ places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are $E(7)= ^3C_2$ places in which the other 2 red balls can be placed.

The total number of total event is $S= ^{10}C_3$

The probability that A selects the first red ball is

$P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}$

$P(A \text{wins})=\frac{36+21+10+3}{120}$

$P(A \text{wins})=\frac{70}{120}$

$P(A \text{wins})=0.5833$

6 0

3 years ago

A box of cereal states that there are 96 calories in a 3/4

IgorC [24]

Answer:

112 calories per cup

Step-by-step explanation:

Let x = unit rate for calories per cup,

Then (3/4)*x = 84

and x = 84*(4/3) = 112 calories per cup

3 0

3 years ago

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