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3 years ago

Simplify the following expression.

Mathematics

2 answers:

Aleksandr [31]3 years ago

8 0

The correct answer is option A

notka56 [123]3 years ago

6 0

The answer to this is A

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Simply 6 square root of 45

storchak [24]

Answer:

40.24922.........

Step-by-step explanation:

7 0

3 years ago

The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$ , where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is $\frac{7}{2}$ cm.

$V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}$

$V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}$

$V=\frac{490\pi }{12}\text{ cm}^3$

$V=128.2817\text{ cm}^3$

Upon rounding to nearest tenth, we will get:

$V\approx 128.3\text{ cm}^3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0

4 years ago

Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at a constant speed of 5 miles

Zielflug [23.3K]

Answer:

4 minutes

Step-by-step explanation:

3 + 5 =8 +4=12

sorry if it's wrong!!

5 0

3 years ago

Two leprechauns are arguing over a pot of gold. The first leprechaun says to the other, ‘Give me seven of your gold pieces and I

Anvisha [2.4K]

Gold pieces the first leprechaun has: x
Gold pieces the second leprechaun has: y

The first leprechaun says to the other, ‘Give me seven of your gold pieces and I will have twice as many as you!’:
The first leprechaun would have x+7
The second leprechaun would have y-7
I will have twice as many as you:
(1) x+7=2(y-7)
(1) x+7=2y-14
(1) x+7-7-2y=2y-14-7-2y
(1) x-2y=-21

The other one replies, ‘No way! Give me seven of yours and we’ll have the same number’
The first leprechaun would have x-7
The second leprechaun would have y+7
We’ll have the same number:
(2) x-7=y+7
(2) x-7+7-y=y+7+7-y
(2) x-y=14

How many gold pieces does the first leprechaun have?
x=?
We have a system with 2 equations and two unknows (x and y). We need to solve for x:
(1) x-2y=-21
(2) x-y=14

Using the method of substitution, we can isolating y in the second equation:
(2) x-y=14
(2) x-y+y-14=14+y-14
(2) x-14=y
(2) y=x-14

And we can replace y in the first equation by x-14, and solve for x:
(1) x-2y=-21
(1) x-2(x-14)=-21
(1) x-2x+28=-21
(1) -x+28=-21
(1) -x+28-28=-21-28
(1) -x=-49
(1) (-1)*(-x=-49)
(1) x=49

Answer: The first leprechaun has 49 gold pieces

5 0

3 years ago

Plz I need URGENT help!

natulia [17]

Answer:

The average temperatures were:

New York City: 63
San Francisco: 64

Step-by-step explanation:

Remember that, the average is obtained in the form below:

Average = The sum of all the values / the number of values.

In this case, the number of values is 12 because are the number of months in the year. The sum of values is shown below for each case:

Average temperature in New York City = (39 + 42 + 50 + 61 + 71 + 81 + 85 + 84 + 76 + 65 + 55 + 47) / 12 = 63.
Average temperature in San Francisco = (57 + 60 + 62 + 63 + 64 + 67 + 67 + 68 + 70 + 69 + 63 + 58) / 12 = 64.

I don't add units because the table doesn't specify if they are Celsius, Fahrenheit, or others.

4 0

4 years ago