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Reil [10]
3 years ago
6

A cone and a pyramid are both 3 inches in height. If the radius of the base of the cone is 4 in and the a side of the square bas

e of the pyramid is 2π in, which has the larger volume?
Mathematics
2 answers:
Art [367]3 years ago
7 0
Pyramid=1/3(hside^2)
h=3 for both
side for pyramid is 2pi
pyramid=1/3(3(2pi)^2)
pyramid=4pi^2


cone=1/3hpir^2
h=3
r=4
cone=1/3(3)(pi4^2)
cone=pi16
cone=16pi


16pi compared to 4pi^2
divide both sides by 4pi
4 compared to pi
4>pi because pi is about 3.14
so cone has larger volume
kotegsom [21]3 years ago
6 0
I got the answer of the cone
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Beau has decided to use the method of elimination to solve the system of equations as shown below.
emmainna [20.7K]

Answer:

Step-by-step explanation:

The given equations are:

2x+3y=15                     (1)

and x-3y=3                 (2)

Now, simply adding equation (1) and equation (2), we get

2x+3y+x-3y=15+3

3x=18

x=6

Now, substituting the value of x=6 in equation (2). we get

6-3y=3

6-3=3y

3=3y

y=1

Thus, the values of x and y are 6 and 1 respectively.

In order to solve the system of solution, beau can see that in both  the given equations, coefficient of y is same and is with opposite sign, thus simply adding both the equations will eliminate y and she will get the value of x and then substituting the value of x in any of the equations, she can get the value of y. With this, she can get closer to the solution.

8 0
3 years ago
The sum of the two numbers is 40 and the difference is 6. What are the numbers?
natita [175]

Answer:

17 + 23 = 40

23 - 17 = 6 the other person did it right.

6 0
3 years ago
Read 2 more answers
Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?
bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for x=-6 in the function and simplify the function.

Hence, let us substitute x=-6 in the function, we get,

f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}

Let us apply the rule -\left(-a\right)=a , we get,

f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}

Multiplying the numbers, we get,

f(-6)=\frac{100}{-10+e^{0.6}}

The value of e^{0.6}=1.822

Substituting the value of e^{0.6}=1.822 , we get,

f(-6)=\frac{100}{-10+1.822}

Subtracting the denominator, we have,

f(-6)=\frac{100}{-8.178}

Dividing, we have,

f(-6)=-12.228

Rounding off to the nearest tenth, we have,

f(-6)=-12.2

Thus, the value of f(-6) is -12.2

4 0
3 years ago
Zara has a rectangular garden. The length of her garden is 12 feet and the width is 7 feet. She extends the width
prisoha [69]

Given the perimeter and length of the garden, the width of the garden was extended by 4 feet

<h3>How to find width of the garden</h3>

  • Length of the garden = 12 feet
  • Width of the garden = 7 feet

  • Width extension =( 7 + w) feet

  • Perimeter = 46 feet

Perimeter = 2(length+ width)

46 = 2{12 + (7 + w)}

46 = 2(12 + 7 + w)

46 = 2(19 + w)

46 = 38 + 2w

46 - 38 = 2w

8 = 2w

w = 8/2

w = 4 feet

Learn more about perimeter:

brainly.com/question/24571594

4 0
3 years ago
Hello da 234234r32 ef3qew3e2wr3qefwasdwasd
scoray [572]
Ah, thank you. your question truly made the most of sense.
3 0
2 years ago
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