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docker41 [41]
3 years ago
10

In Belleville, the library is due south of the courthouse and due west of the

Mathematics
1 answer:
Ket [755]3 years ago
3 0

Answer:12 miles

Step-by-step explanation:

Given

Distance between Court house and Library is 9\ miles

Distance between Court house and community hall is 15\ miles

Suppose distance between Court house and library is x\ miles

We can observe that the Court house, library and Community hall Forms a sort of right angled triangle as shown in fig

therefore we can write

15^2=x^2+9^2

x^2=225-81

x^2=144

x=12\ miles

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Use dimensional analysis to make each conversion.
algol13
You subtract them (X,Y)
3 0
3 years ago
X+y=120 <br>5.25x+3.0y=517.2
Sauron [17]
I will try to solve your system of equations.<span><span><span>
x+y</span>=120</span>;<span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span></span>
Step: Solve<span><span>x+y</span>=120</span>for x:<span><span><span>
x+y</span>+<span>−y</span></span>=<span>120+<span>−y</span></span></span>(Add -y to both sides)<span>x=<span><span>−y</span>+120</span></span>
Step: Substitute<span><span>−y</span>+120</span>forxin<span><span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span>:</span><span><span><span>
5.25x</span>+<span>3y</span></span>=517.2</span><span><span><span>5.25<span>(<span><span>−y</span>+120</span>)</span></span>+<span>3y</span></span>=517.2</span><span><span><span>−<span>2.25y</span></span>+630</span>=517.2</span>(Simplify both sides of the equation)<span><span><span><span>−<span>2.25y</span></span>+630</span>+<span>−630</span></span>=<span>517.2+<span>−630</span></span></span>(Add -630 to both sides)<span><span>−<span>2.25y</span></span>=<span>−112.8</span></span><span><span><span>−<span>2.25y</span></span><span>−2.25</span></span>=<span><span>−112.8</span><span>−2.25</span></span></span>(Divide both sides by -2.25)<span>y=50.133333</span>
Step: Substitute50.133333foryin<span><span>x=<span><span>−y</span>+120</span></span>:</span><span>
x=<span><span>−y</span>+120</span></span><span>x=<span><span>−50.133333</span>+120</span></span><span>x=69.866667</span>(Simplify both sides of the equation)
Answer:<span><span>
x=<span><span>69.866667<span> and </span></span>y</span></span>=<span>50.133333</span></span>
4 0
3 years ago
What Is The Answer For -6( -2+a ) = 54
WITCHER [35]

Answer:

a = (-7)

Step-by-step explanation:

Firstly clear the bracket...,

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Then substitute the simplified version in place of bracket...,

; 12 - 6a = 54

; -6a = 54 - 12

; -6a = 42...then divide both sides by (-6)

Therefore...., a = (-7)

3 0
3 years ago
Please explain if you can how to do it or show your steps
sesenic [268]

Answer:

Step-by-step explanation:

Idk, sorry dude

8 0
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What is the answer I need to know
kolezko [41]
K = -18 to check, -4 + k/3 = -10 is the equation. -18/3 = -6, and -4 + -6 = -10. Mark as branliest if you can. :)
3 0
3 years ago
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