the volume of a cylindrical watering can is 100cm^3. If the radius is doubled, then how much water can the new can hold?

Answers

Answer 1
Answer: V=(pi)(2r^2)(h)
V=4(pi)(r^2)(h)
V=4(100 aka the old volume)
V=400cm^3

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Angela buys a bracelet that was regularly priced for $150. She uses a coupon and gets 30% off. How much did Angela save?A. 105
B.45
C.214.29
D.500

Answers

She saved $45 and now only has to pay $105

a square piece of paper is folded in half vertically. if the resulting figure has a perimeter of 12 cm, what was the area of the original square?

Answers

The area of original square is 16 centimetre square.

What is an area?

The area is the region bounded by the shape of an object.

Let consider 'a' as the side of the original square.

When it fold vertically then the top and bottom sides will be half of the original side.

The perimeter of folded square = 12 cm

i.e.  (2* 0.5a)+ 2a =3a =12 cm

Then, a=4cm

The area of original square is given by a^2.

Then, a^2 = 4*4 =16

Hence, 16 centimeter is the area of the original square.

To learn more about area, use the link given below:

brainly.com/question/27683633

#SPJ2

the area of the original square would have been 16 centimeters squared.

The difference of six times a number and 7 is -49

Answers

If you would like to find the number, you can calculate this using the following steps:

n = ? ... a number

the difference of six times a number and 7 is -49
6 * n - 7 = - 49
6 * n = - 49 + 7
6 * n = - 42
n = - 42 / 6
n = - 7

The correct result would be - 7.

The fraction 11/3 is a(n)
mixed number
proper fraction
improper fraction

Answers

11/3 is an improper fraction because the numerator is larger than the denominator

Answer:

improper fraction

Step-by-step explanation:

Improper fractions are fractions that have a larger numerator than denominator like in this case.

Example:

(4)/(3)

Mixed numbers contain a whole number and a fraction.

Example:

3(1)/(16)

Proper fractions are fractions that have a larger denominator than numerator.

Example:

(5)/(7)

The length of one side of an equilateral triangle is 6 square root 3 meters. Find the length of one altitude of the triangle.

Answers

The altitude of the equilateral triangle  with sides 6√3 meters is 9 meters.

Properties of equilateral triangle

  • All the sides are equal
  • All the angles are equal(60 degree each)

The length of the sides are 6√3 meters each. Recall triangles has three sides.

Therefore, the altitude or height of the triangle can be found as follows:

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other 2 legs.

Therefore,

h² = (6√3)² - (1 /2 (6√3))²

h² = 108 - 27

h = √81

h = 9 meters

Therefore, the altitude of the triangle is 9 meters.

learn more on triangle here: brainly.com/question/8224697?referrer=searchResults

Answer:

9 m

Step-by-step explanation:

The formula of an altitude of an equilateral traingle with side a:

h=(a\sqrt3)/(2)

We have a=6\sqrt3

Substitute:

h=(6\sqrt3\cdot\sqrt3)/(2)=((6)(\sqrt3)^2)/(2)

Use \left(√(a)\right)^2=a

h=((6)(3))/(2)=(18)/(2)=9

Solve for x: 2/5 (x - 2) = 4x.

A. 2/9
B. 9
C. -2/9
D. -9/2

Answers

Step 1: Simplify both sides of the equation.
2/5(x-2)4x

Simplify: (show steps)
2/5x+-4/5=4x

Step 2: Subtract 4x form both sides.
2/5x+-4/5-4x=4x-4x

Step 3: Add 4/5 to both sides.
-18/5x+-4/5+4/5=0+4/5

Step 4: Multiply both sides by 5/-(18).

(5/-18)*(-18/5)*=(5/-18)*(4/5)



Then your answer would be      -2

                                              x=  -----
                                                      9
(2/5)(x-2)=4x
multily both sides by 5/2 (2/5 times 5/2=10/10=1)
1(x-2)=20x/2
x-2=10x
minus x both sides
-2=9x
divide 9
-2/9=x