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pshichka [43]
3 years ago
8

Given rhombus ABCD, find area if angleABC = 60deg AE = 2

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0
All triangles are 30-60-90, therefore the short legs (2) are half as much as the hypotenuse. Therefore the hypotenuse is 4. Because its a rhombus, all sides are congruent, so you have the length and width and can multiply them to get 16 square units.

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The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumferenc
avanturin [10]

9514 1404 393

Answer:

  2πr cm

Step-by-step explanation:

The circumference of a circle of radius r is ...

  C = 2πr

For a radius of (r cm), the circumference is ...

  A = 2π(r cm) = 2πr cm

For a radius of (2r cm), the circumference is ...

  B = 2π(2r cm) = 4πr cm

Then the difference between the circumferences is ...

  B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference

3 0
2 years ago
A FEW MATH QUESTIONS ! PLEASE EXPLAIN ANSWERS ! (:
7nadin3 [17]

answers

1) 70

2) 3,840

3) 24

4) 72


<u>Explanation</u>

Q1

The surface area of a cone is given by;

S.A = 2Πrl + Πr²

Where r is the radius of the base and l is the lateral height.

Πr² = area of the base = 20 in²

2Πrl = Area of the lateral surface

         = 2.5 × 20

          = 50

Area of the cone = 50 + 20

                            = 70 in²

Q2

The sides of the Pythagorean triangle with legs of 12 and 16.

The 3rd side will be;

c = √(12² + 16²)

  = √400 = 20

Volume = 12 × 16 × 20

              = 3,840

Q3

The volume of a cone is given by;

volume = 1/3 Π r² h

This shows that the volume of a cone is a third the volume of the cylinder.

∴ Volume of the cylinder = 12 × 3

                                            = 24 ft³

Q4

The volume of any regular figure is;

Volume = base area × height

When the dimensions area usually 3. Let these dimensions be x, y and z.

∴ volume  = x × y × z = 9

  Doubling the dimensions;

Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9

             = 8 × xyz = 8 × 9

             = 72 ft²



3 0
3 years ago
Read 2 more answers
Solve for x.<br> 3x/y-4z=12
Nat2105 [25]
X= 4y+4/3yz this is they solution
7 0
3 years ago
The measure of the supplement of an angle is 84° less than the measure of the angle. Find the measures of the angles
babunello [35]

Let the measure of angle be 'x'

Since, the measure of the supplement of an angle is 84° less than the measure of the angle.

Therefore, measure of supplement of x = x - 84°

The measure of two supplementary angles is 180 degrees.

x + x -84^\circ = 180^\circ

2x -84^\circ = 180^\circ

2x =84^\circ + 180^\circ

2x =264^\circ

x =132^\circ

So, the measure of angle =x =132^\circ

Its supplement = x - 84°  = 132°  - 84°

=  48°

So, the measure of supplement of angle is 48 degrees.

6 0
3 years ago
Solve the following quadratic equation by rearranging and then factorising x^2 + 7x + 19 = 9
wolverine [178]

Answer:

your lucky you did have a online lessons earlll

Step-by-step explanation:

The following are the temperatures in °C for the first 14 days of January:

-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5

5 0
2 years ago
Read 2 more answers
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