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elixir [45]
3 years ago
11

If the equatorial diameter of the sun is 1.39 million km how many kilometers is the sun's radius

Mathematics
1 answer:
son4ous [18]3 years ago
6 0
Since the radius of an object is half of the diameter, your equation and answer would be: 1.39 million divided by 2 = 695,000 km.
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Given: ABCD is a parallelogram and AC bisects BD.<br> Prove: AB is congruent to BC.
earnstyle [38]

Let's see

In ∆ABE and ∆CBE

  • BE=BE(Common side)
  • AE=EC[Diagonals of a parallelogram bisect each other]
  • <AEB=<BEC[90°]

So by

SAS congruence the triangles are congruent

AB=BC

  • Proved

Fact:-

It's already given AC is perpendicular to BD

  • It means diagonals are perpendicular to each other

According to general property of rhombus this parallelogram is also a rhombus.

So sides are equal hence AB =BC

3 0
1 year ago
A landscaper is making a garden bed in the shape of a rectangle. The length of the garden bed is 2.5 feet longer than twice the
Step2247 [10]

Answer:

I'll setup the problem, then you can do the calculations

Step-by-step explanation:

Perimeter = 2width(W) + 2length (L)

Area = LW

L = 2.5 + 2W

LW = 62.5

substitute L in equation for area

2.5W +  {2W}^{2}  = 62.5 \\  \\  {2W}^{2}  + 2.5 - 62.5 \\  \\  use \:  quadratic \:  solution \\\frac{ - b ±  \sqrt{ {b}^{2}  - 4ac}}{2a}

a = 2; b = 2.5; c = 62.5

send a comment if you have a question

7 0
3 years ago
4. The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed
elixir [45]
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30)  The x-intercepts or zeros are at (-30,0) and (30,0)

The equation of such parabola would be:
y = a(x+30)(x-30)
Plug in vertex to find value of 'a'
-30 = a(0+30)(0-30) \\  \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}

Now find the focus given that p = \frac{1}{4a}
p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5

Answer: the microphone should be placed 7.5 inches from vertex.
8 0
3 years ago
what is the volume of a box with the height of 3/2 inches and a length of 7/2 inches and a width of 5/2 inches
nadezda [96]

Answer:

13.125 in³

Step-by-step explanation:

So first convert all the numbers to decimal form. 3/2 converts to 1.5. 7/2 converts to 3.5. 5/2 converts to 2.5.

Now for the actual math. Take 1.5×3.5=5.25. Then take your new number and multiply it by 2.5. 5.25×2.5=13.125.

8 0
2 years ago
Please help me with these two i have to send it after class!!!!!
scoundrel [369]

the first one is the answer to #1

and the second one is the answer to #2

5 0
3 years ago
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