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AlekseyPX
3 years ago
9

a regular square pyramid just fits inside a cube (the base of the pyramid is congruent to a face of the cube and the height of t

he pyramid is equal to the height of the cube). A right cone also just fits inside the same cube the diameter of the base of the cone, the height of the cone, and the height of the cube are all equal.) Which has the larger volume, the cone or the square pyramid?
Mathematics
1 answer:
Tom [10]3 years ago
3 0
The answer is larger in volume because the come is holow in the inside and that square pyrimid isn't
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2x²-5x-12=0 (simplify solution set)
Arada [10]

Answer:

x = 4 or x = -3/2

Step-by-step explanation:

To simplify and solve this, let's use the quadratic formula.

So the format of a quadratic equation is supposed look like this:

ax^2+bx+c=0

Let's find a, b, c:

  • a is the coefficient of x^2
  • b is the coefficient of x
  • c is the constant term

Now let's solve the equation.

Let's solve your equation step-by-step.

2x^2−5x−12=0

For this equation: a=2, b=-5, c=-12

2x^2+−5x+−12=0

Step 1: Use quadratic formula with a=2, b=-5, c=-12.

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}

x=\frac{5\pm\sqrt{121} }{4}

x=4 or x=\frac{-3}{2}

<u />

<u>Answer:</u>

x = 4 or x = -3/2

7 0
2 years ago
For F(x)=2x+1 and G(x)=c^2-7 find (FxG)(x)
Ludmilka [50]

The value of F(G(x)) is 2x^2 - 13

<h3>How to solve the composite functions?</h3>

The functions are given as:

F(x)=2x+1

G(x)=x^2-7

To find (FxG)(x), we make use of

(FxG)(x) = F(G(x))

So, we have:

F(G(x))=2G(x)+1

Substitute G(x)=x^2-7

F(G(x))=2(x^2-7)+1

Expand

F(G(x))=2x^2 - 14 + 1

Evaluate the like terms

F(G(x))=2x^2 - 13

Hence, the value of F(G(x)) is 2x^2 - 13

Read more about composite functions at:

brainly.com/question/20379727

#SPJ1

4 0
1 year ago
A gallon of gas costs $4.34.Greg puts 12 gallons of gas in his car,He has a 50-dollar bill.Tell how much Greg will have left,or
Lerok [7]

Greg will need $2.08 more money to buy 12 gallons of gas.

<h3>Further explanation</h3>

A gallon of gas costs $4.34

Greg puts 12 gallon of gas

Greg has $50

First, we are going to calculate how much money does Greg needs for 12 gallon of gas:

= 12 gallon of gas x cost/gallon

= 12 x 4.34

= 52.08

To multiply the decimal it's just the same way as the whole number multiplication, except for the placement of the decimal point in the answer. For the example

4.34      ⇒ 2 decimal place

<u>     12 x</u>   ⇒ 0 decimal place

 868

<u>434  +</u>

52.08   ⇒ 2 decimal place

By doing the same process as the whole number multiplication we got the answer is 52.08, but don't forget to add the decimal point/decimal place. The first factor has 2 decimal place, the second factor has 0 decimal place, so the answer will have two decimal place (2+0 = 2), by adding the decimal place.

The next step , 12 gallon of gas cost $52.08, if he has $50 so it cost more than the money he has, We are going to do a subtraction:

$52.08

<u>$50.00 </u>-   ⇒ <em>we put zero so we can the borrowing (regrouping)</em>

$  2.08

To subtract a decimal number, we need to line up the decimal point, add trailing zero as a placeholder and then do the subtraction

<h3>Learn more</h3>

Total spend brainly.com/question/12203917

Decimal multiplication brainly.com/question/2124592

Decimal multiplication brainly.com/question/1254534

Keywords: multiplication, decimal multiplication, two digits number additional, additional, subtraction decimal, regrouping

3 0
3 years ago
Read 2 more answers
The sum of eight times a number and fifteen is seven find the number
dmitriy555 [2]
Form an equation then solve:

8x+15=7
8x=-8
x=-1
3 0
3 years ago
Read 2 more answers
The area of a triangle is 6.75 m to the 2 power.  If the base of the triangle is 3 m, what is the height of the triangle?
4vir4ik [10]
<span>The area of a triangle is 6.75 m^2

=> (1/2) x base x height=</span>6.75 m^2
=>(1/2) x 3 x <span>height = </span>6.75
=><span>height = (</span>6.75x2)/3= 4.1

so the height is 4.1m
6 0
3 years ago
Read 2 more answers
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