Please help! Correct answers only please!

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking an even number and then picking an even number?

Simplify your answer and write it as a fraction or whole number.

Answer:

it will take 96 truckload trips to move the entire pile of dirt.

Step-by-step explanation:

The formula for the volume of a cone of height h and radius r is

V = πr²h.  Here, the radius, r, is half the given diameter, or r = d/2, or r = (8 yds)/2, or 4 yds, and the height is 12 yds.  Thus, in this case, the volume of the conical pile of dirt is

V = π(4 yd)²·12 yd, or

V = 3.14(16 yd²)(12 yd), or

V = 602.88 yd³

If each truck holds 6.28 yd³ and we want to know how many truckloads the company needs in order to move the conical pile, we divide the above volume (V) by 6.28 yd³:

     V                    602.88 yd³

------------- = --------------------------------------- = 96

6.28 yd³       (6.28 yd³ per truckload)

We interpret this to mean that it will take 96 truckload trips to move the entire pile of dirt.

The number of truckloads the company will need is A = 32 truckloads

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Surface area of the cone = πr ( l + r )

where l = √ ( b² + r² )

Given data ,

The first step is to find the volume of the pile of dirt using the formula for the volume of a cone: V = ( 1/3 ) πr²h, where r is the radius of the base and h is the height.

The height of the cone is given as 12 yards, and the diameter of the base is 8 yards, so the radius is half of that, or 4 yards. Plugging in these values, we get:

V = (1/3)π (4 yards)² (12 yards)

V ≈ 201.06 yards³

Next, we need to find out how many truckloads the company will need.

We know that each truck can hold 6.28 cubic yards of dirt, so we can divide the total volume of dirt by the volume of one truckload to find the number of truckloads needed:

201.06 cubic yards / 6.28 cubic yards/truckload ≈ 31.99 truckloads

Since the company can't order a fractional number of truckloads, they will need to round up to the nearest whole number.

Hence , the company will need 32 truckloads to move the pile of dirt

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Answer:

0.7

Step-by-step explanation:

I divided 4 by 6

0.6666666666666...

Simplify to 0.7

Answer: 15cm.

Step-by-step explanation:

Hi, to answer this question we have to multiply the real height of the kite (1.5m) by the scale factor of the drawing (10):

Mathematically speaking:

Since 1 m = 10 cm

So:

1.5 m x 10 cm/m = 15 cm

The kite is 15 centimeters tall in the drawing.

Feel free to ask for more if needed or if you did not understand something.

Answer:

2a+c ( not sure if this is what you are looking for!)

Step-by-step explanation:

Answer:

8.03

Step-by-step explanation:

43 min = 3.75 miles

90 min = X

99 min×3.75÷42=8.03

Answer:

261

Step-by-step explanation:

Answer:

i think its 261

Step-by-step explanation:

Answer:

$75,867

Step-by-step explanation:

that will be the answer

Answer:

Step-by-step explanation:3,360

Answer:

x = -15/2 ± (1/2)*5√5

Step-by-step explanation:

I will assume that you meant x^2+15x+25=0.

To complete the square, take half of the coefficient of x, square the result, add this square into the equation after '15x,' and then subtract the square from the result:

x^2+15x+25=0  =>  x^2 + 15x + (15/2)^2 - (15/2)^2 + 25 = 0.

Rewrite the first two terms as (x + 15/2)^2 - 225/4 + 100/4 = 0, or

                                                  (x + 15/2)^2 - 125/4 = 0

Taking the square root of both sides, we obtain the solutions:

                                                    x + 15/2 ±√[125/4], or

                                                    x = -15/2 ± (1/2)*5√5

The quadratic equation x²+15x+25=0,  (15/2)² is a number to be added to "complete the square"

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The quadratic equation x²+15x+25=0

x²+15x+(15/2)²+25-(15/2)²=0

(x+15/2)²+25-225/4

(x+15/2)²+(100-225)/4

(x+15/2)²+(-125/4)

(x+15/2)²-(√125/√4)²

(x+15/2+√125/√4)(x+15/2-√125/√4)

(x+15/2+√125/2)(x-15/2-√125/2)

(x+(15+√125)/2)(x-(15+√125)/2)

Hence (15/2)² is a number to be added to "complete the square"

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Answer:

6 m

Step-by-step explanation:

the radius is half of the diameter

Answer:

Anna

Step-by-step explanation:

In standard form the first term is the term with the largest exponent.

The following terms are then in descending order of exponents.

The term with the largest exponent is 7[tex]x^{7}[/tex] ← first term

The expression in standard form is

7[tex]x^{7}[/tex] + 6[tex]x^{5}[/tex] - 3x³ + 8x ← Anna

Answer:

I CAN!

Step-by-step explanation:

First, where does the line start?

y=1

It looks like it goes up, and then right each one unit. No?

So that would be

Y=1+1

Warning! DO NOT say y=2.  That is no good. You probably want to simplify it, but dont. Okay?

Happy to help

ОωО

Answer:

4:7

Step-by-step explanation:

i don't think that you can simplify it any further so you just change the / to a :

Step-by-step explanation:

The term 1200 represents the 11

Answers and Step-by-step explanations:

A. David would need to assume that side AB is the hypotenuse of the almost-right triangle that A, B, and C make. That way, he can use the Pythagorean Theorem to solve for AB.

B. AB² = 24² + 32² = 1600  ⇒  AB = √1600 = 40 yards

We can use the Pythagorean Theorem because we assume that ABC is in the form of a right triangle, with AB as the hypotenuse. Then since whenever we have a right triangle, we can use the Pythagorean Theorem to solve for an unknown side, that applies here as well.

C. The approximate perimeter is 24 + 32 + 40 = 96 yards. Using the approximation of AB from part B, we simply add up all the side lengths of this "triangle", as that is the definition of "perimeter". Thus, when we add them all together, we get a total of 96 yards.

Answer:

A. Assumption: length of the curve AB is equal to the hypotenuse of the triangle formed AB was a straight line.

B. 40 yards

C. 96 yards

Step-by-step explanation:

A. Assumption: length of the curve AB is equal to the hypotenuse of the triangle formed AB was a straight line.

B. AB² = 32² + 24²

AB² = 1600

AB = 40

Since we have assumed that AB is equal to the hypotenuse, we can use pythagoras theorem to find an approximate length of AB

C. Perimeter is the sum of all lengths:

32 + 24 + 40 = 96

Answer:GHȼ290,000,000

Step-by-step explanation:

Given the following :

Cost of house = 250,000,000

Amount paid out of his own resources = 20% of house cost

Amount loaned = 250,000,000 - (20% of 250,000,000)

Rate = 2 1/2% = 5/2% = 0.025

Period or time = 8 years

Therefore,

Amount paid out of his own resources :

0.2 × 250,000,000 = 50,000,000

Amount loaned = (250,000,000 - 50,000,000) = 200,000,000 = principal

Simple Interest on loan = (principal × rate × time)

200,000,000 × 0.025 × 8 = 40,000,000

Total amount paid back= (200,000,000 + 40,000,000) = 240,000,000

Total amount paid for the house :

Total loan paid + amount paid from own resource:

240,000,000 + 50,000,000 = 290,000,000

Answer:

5.3

Step-by-step explanation:

You use the Pythagoras theorem which is a^2+b^2=c^2.

Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.

8^2 - 6^2 = b^2

64 - 36 = b^2

b = sqrt(28)

b = 5.2915.... = 5.3

Answer:

2 is the sum of one plus one

Answer:

2

Step-by-step explanation:

Answer:

We divided the figure into 1 triangle and 2 rectangles.

Adding up the area of them, we get the total area:

A = 14 x (10 + 8 + 12 - 16)/2 + 8 x 5 + 6 x (12 + 8)

   = 258 (yd2)

Hope this helps!

:)

Answer:

3000meter

Step-by-step explanation:

[tex] \frac{300000}{100} = 3000[/tex]

Answer:

B. Hexahedron

Step-by-step explanation:

It helps to know the number faces in the named solids.

tetrahedron: 4 faces

octahedron: 8 faces

A. Dodecahedron : 12 faces

B. Hexahedron : 6 faces

D. lcosahedron : 20 faces

D. Pyramid: 4 for a triangular pyramid; more for other pyramids

Which polyhedron has more than 4 faces and less than 8 faces?

Answer: B. Hexahedron

The reason the answer is not a pyramid is that a pyramid may have exactly 4 faces or more than 7 faces.

Answer:

B

Step-by-step explanation:

Cube or Hexahedron ( 6 faces) has more faces than tetrahedron ( 4 faces), but fewer than octahedron ( 8 faces)

Answer:

1/12

Step-by-step explanation:

to get a odd number is a 1/2 chance. to roll a 3 is a 1/6 chance. multiply those together to get 1/12.

Answer:

It will take 8

Step-by-step explanation:

2 cubic units we take 1 / 4 which four equals one and eight equals 2, so it will take a eight 1/4 to fill the prism.

Answer:

Step-by-step explanation:

12

One hour's cost for the trampoline gym will be $12.

The ratio can be defined as the number that can represent one quantity as a percentage of another. They can be compared only when the two numbers in a ratio have the same unit. Ratios are used to compare two objects.

Given, A trampoline gym charges $6 for 1/2 of an hour.

Since,

For 1/2 hour gym charges = 6$

So from the definition of the ratio

Thus,

For 1-hour gym will charge = 6*2

For 1 hour gym will charge = 12$

therefore, One hour cost for the gym will be $12.

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Answer:

yes it is correct

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Here are some of the Pythagorean Triples:

(3,4,5)

(5,12,13)

(7,24,25)

(8,15,17)

(9,40,41)

(11,60,61)

(12,35,37)

(13,84,85)

You'll see that 8, 15, 17 is a Pythagorean Triple so yes, it is a right triangle.

Answer:

y=4x+5

Step-by-step explanation:

Liner graph, therefore, y=mx+b; b is the y intercept; m is the slope

b=5, another pair is (-1,1)

need to find m first

Substituting we get:

⇒1= m(-1) + 5

⇒1= -1m + 5

⇒1-5= -m

⇒-4 = -m

⇒m=4

Eq: y=4x+5

Answer:

interest rate=45.04

I after 8 years=5994

step on step explainaton:

I=PRT

1500=1665×r/100×2

r=45.04

I after 8 years= I=PRT

=1665×45/100×8=5994

Answer:

9 packages

Step-by-step explanation:

Each package will have 6 sheets, so to find the number of packages for 55 sheets, we can just use a rule of three:

1 package -> 6 sheets

x packages -> 55 sheets

x * 6 = 55 * 1

x = 55 / 6 = 9.17

Rounding down, we have x = 9 packages.

So it can be done a total of 9 packages, and there will be (55 - 9*6) = 1 sheet left.