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PIT_PIT [208]
2 years ago
5

Carlos plots a circular planter's wall on a computer. He determines that the circle that defines the part of the planter wall th

at gets watered by the sprinkler is (x−10)2+(y+12)2=36.
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?
Mathematics
2 answers:
Jet001 [13]2 years ago
8 0

I just took the test the answer is 12m

lyudmila [28]2 years ago
5 0
1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²<span>=36.
 
 2. The standard form for the equation of a circle is:
 
 (x-h)</span>²+(y-k)²=r²
 
 (h,k) is the center point.
 r is the radius.
 
 3. Keeping this on mind, you can find the value of the radius, as below:
 
 r²=36
 r=√36
 r=6 m
 
 4. Then, the diameter of the circle is:
 
 D=2r
 D=2(6m)
 D=12 m
<span> 
 What is the diameter, in meters, of the circular area that gets watered by the sprinkler?</span>  
 
 The answer is: 12 m

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The equation 18 + p = 34 represents the sum of Reese's and Ana's ages, where p represents Reece's age. How old is Reece?
Phantasy [73]

Answer:

therefore reece'sis 16 years old

Step-by-step explanation:

18+p=34

p+18-18=34-18

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2 years ago
Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is th
DaniilM [7]

Answer: 19 years

Step-by-step explanation:

Given

Amount invested \$400

Rate of interest R=6\%

after 1-year amount becomes

A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424

After n years it is

A=400\left (1.06\right)^n

Sum accumulated is \$1200

\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}

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3 years ago
4/50 converted into a percentage
Arlecino [84]

Answer:

Step-by-step explanation:

\frac{4}{50}*100=4*2

            = 8%

3 0
3 years ago
A two digit number when read from left to right to right consiststs of consecutive integers. the nmber is six more than for time
Solnce55 [7]

I suppose you want to know such number. Since we have a two digit number consisting of two consecutive integers, the only possible numbers are:

12,23,34,45,56,67,78,89

Since we sorted all the cases out, we simply have to check which one satisfies the requirement. For each number, we'll write four times the the sum of its digits, and add 6, hoping to get the original number.

\text{Number: } 12,\ \ 4\times \text{sum of digits: } 12\ \ \text{plus six: } 18\neq 12

\text{Number: } 23,\ \ 4\times \text{sum of digits: } 24\ \ \text{plus six: } 30\neq 23

\text{Number: } 34,\ \ 4\times \text{sum of digits: } 28\ \ \text{plus six: } 34

So, the answer is 34.

3 0
3 years ago
Triangle G E F is shown with its exterior angles. Line G F extends through point B. Line F E extends through point A. Line E G e
Radda [10]

The measure of angle ∠EGF is 65°. And the measure of the angle ∠CGE is 115°.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle GEF is shown with its exterior angles.

Line GF extends through point B.

Line FE extends through point A.

Line EG extends through point C.

Angles ∠FEG and ∠EGF are congruent.

∠FEG = ∠EGF = x

Sides EF and GF are congruent.

Angle ∠EFG is 50° degrees.

∠EFG + ∠FGE + ∠GEF = 180°

                  50° + x + x = 180°

                               2x = 130°

                                 x = 65°

∠FEG = ∠EGF = 65°

Then angle ∠CGF will be

∠CGF + ∠FGE = 180°

   ∠CGF + 65° = 180°

             ∠CGF = 115°

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

4 0
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