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Ahat [919]
3 years ago
15

What is the area of an equilateral triangle that has 2 yards and a height of 4.25 ft?

Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0
The first thing you need to do is convert the yards into feet. In one yard there are three feet. So 2*3=6 now you can do the triangle area equation. 6*4.25=25.5 then divide by two. 25.5/2=12.75So the area of the triangle is 12.75 ft^2Hope this helps
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Patrick’s luck had changed over night – but not his skill at mathematical reasoning. The day after graduating from college he us
Verdich [7]

Answer:

I assume Josh and Peyton are his friends and both gave him advice on what to do with half of the money from the big lottery win.

Let's say Josh said "save it or invest it for your retirement" and Peyton said "use it to keep playing the lottery.

We will now look at the sense in each piece of advice!

Step-by-step explanation:

JOSH

By investing the $250,000 (half of the money won), Patrick will be sure that the money is available for him anytime and would even have gotten interest, by the time he's ready to use it.

PEYTON

By playing the lottery continuously, Patrick could get lucky once in a while and win big again. How big though?

Analyzing with the figures given,

$20 gets Patrick a lottery ticket.

$250,000 will get him 12,500 lottery tickets!

Whether he's buying the tickets at once or he'll play the lottery once in a while, I'll say he has good chances of winning big again.

So if the probability of winning big after purchasing up to 12,500 tickets is close to 1, Patrick should play the lottery with the $250,000

If the probability of winning big after purchasing 12,500 lottery tickets is close to 0 (closer to 0 than it is to 1) then Patrick should invest the $250,000 in retirement.

5 0
3 years ago
Find the balance at the end of 4 years if $10,000 is deposited at a rate of 1.5% simple interest.
Minchanka [31]

Answer:

Principal amount (P) = $10,000

Rate (R) = 1.5%

Time (T) = 4 years

Simple interest, I = P X R X T / 100

= 10000 X 1.5 X 4 /100

= 60000 / 100

= $600

Therefore, Balance = P + I

= 10000 + 600

= $10600

3 0
3 years ago
Please help I will mark brainlist if correct
love history [14]
--------------------------------------------------------------------------
Equation
-------------------------------------------------------------------------- 
 y - 9  = -  \dfrac{1}{2} (x + 2)

--------------------------------------------------------------------------  
Rearrange the equation
-------------------------------------------------------------------------- 
y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1  + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8

--------------------------------------------------------------------------  
slope of the perpendicular line
-------------------------------------------------------------------------- 
slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

---------------------------------------------------------------------------  
Substitute slope into equation y = mx + c
--------------------------------------------------------------------------- 
y = 2x + c

---------------------------------------------------------------------------  
Find y-intercept
--------------------------------------------------------------------------- 
y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

----------------------------------------------------------------------------  
Substitute y-intercept into the equation y = 2x + c
-----------------------------------------------------------------------------  
y = 2x + 4

----------------------------------------------------------------------------  
Answer: y = 2x + 4
----------------------------------------------------------------------------- 

3 0
3 years ago
Find the surface area of the following triangular prism. surface area=_________ ft²
Scorpion4ik [409]
  • Answer:

<em>312 ft²</em>

  • Step-by-step explanation:

<em>3 rectangles </em>

<em>2 triangles</em>

<em>4 yd = 12 ft</em>

<em>A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2</em>

<em>= 48ft² + 96ft² + 120ft² + 48ft²</em>

<em>= 312 ft²</em>

3 0
3 years ago
Please I need some answers a few is fine
Nataly_w [17]

Answer:

a. 9 b.36 c. 100 d. 13689

8 0
3 years ago
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