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Sedaia [141]
2 years ago
14

Pleaseee helppp with thissss asapppp

Mathematics
1 answer:
Natasha2012 [34]2 years ago
8 0

As we know that the standard equation of circle is {\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}} , where <em>r</em> is the radius of circle and centre at <em>(h,k) </em>

Now , as the circle passes through <em>(2,9)</em> so it must satisfy the above equation after putting the values of <em>h</em> and <em>k</em> respectively

{:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}

{:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}

{:\implies \quad \sf 9+16=r^{2}}

After raising ½ power to both sides , we will get <em>r = +5 , -5</em> , but as radius can never be -<em>ve</em> . So <em>r = +</em><em>5</em><em> </em>

Now , putting values in our standard equation ;

{:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}

{:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}

<em>This is the required equation of </em><em>Circle</em>

Refer to the attachment as well !

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A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the grou
Dvinal [7]

Answer:

Step-by-step explanation:

A tree that is 100 feet tall casts a shadow that is 150 feet long ...

The angle at which the ray of the sun hit the ground is that which has a tangent equal to 100 / 150 or 2/3. This angle is equal to 33.69. Thus, the answer is letter B. 34°

5 0
3 years ago
Read 2 more answers
Find the unpaid balance on the debt after 5 years of monthly payments on $190,000 at 3% for 25 years
NNADVOKAT [17]

Answer:

$114,000

Step-by-step explanation:

Use formula

I=P\cdot r\cdot t,

where

I = interst

P = principal

r = rate

t = time

First, find the interst for 25 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 25

I_{25}=190,000\cdot 0.03\cdot 25=142,500

Now find the interest for 5 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 5

I_5=190,000\cdot 0.03\cdot 5=28,500

The unpaid balance is

I=I_{25}-I_5=142,500-28,500=114,000

6 0
3 years ago
When there are 20 sheep, each sheep has 100 square yards of grazing area . How many yards are available for each sheep when ther
ZanzabumX [31]

Answer:

80 square yards

Step-by-step explanation:

so you have to divide 20 into 100 to see how much each sheep gets. Each sheep gets 5 square yards. Then you just multiply how much each sheep gets by 5 and get 80 square yards.

3 0
3 years ago
The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –1 6 0 4
iren2701 [21]

I think you need to retype this one. The formatting makes this question difficult to understand.

8 0
3 years ago
If the length of the minute hand of the clock in London commonly known as “Big Ben” is 11.25’ from the center of the clock to th
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First, we should figure out the area of the entire face of the clock because we need that information to solve the problem. The formula for the area of a circle is A=pi*r^2. Since we know that r (radius) is equal to 11.25 feet, we can plug this in for r and solve for A: A=pi*11.25^2 which equals A=397.61 ft^2 rounded to the nearest hundredth. 

Now, to find the area the hand sweeps over in 5 minutes, we should determine how much of the clock the hand sweeps over in 5 minutes. Think about it like this: since 5 minutes goes into 60 minutes 12 times (60/5=12), then 5 minutes is one twelfth of the clock's face. Therefore, we are going to divide the total area by 12 (397.61/12) to get 33.13 ft^2, so the answer is C.

I hope this helps.
5 0
3 years ago
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