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Verdich [7]
3 years ago
8

The distance on a map between Lynwood and Forest Hill is 3.75 inches. According to the map key, 0.25 inch on the map is equivale

nt to 1 mile. What is the actual distance in miles between Lynwood and Forest Hill?
Mathematics
1 answer:
Volgvan3 years ago
7 0

Answer:

15 miles

Step-by-step explanation:

To find the actual distance in miles between Lynwood and Forest Hill, we can use a rule of three:

If 0.25 inch on the map is equivalent to 1 mile, then 3.75 inch on the map is equivalent to what distance:

0.25 inch -> 1 mile

3.75 inch -> X miles

0.25/3.75 = 1/X

X = 3.75/0.25 = 15 miles

The actual distance between Lynwood and Forest Hill is 15 miles.

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What is the solution to this system of equations?
amm1812

Answer:

Step-by-step explanation:

(i) x+2y=4

(ii) x=4-2y

(iii) 2x-2y=5  

substituting (ii) in (iii)

2x-2y=5

2(4-2y)-2y=5

8-4y-2y=5

-6y=5-8

-6y=-3

(iv) y=\frac{1}{2}              

substituting (iv) in (ii)

x=4-2y

x=4-2×\frac{1}{2}

x=4-1

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∴ B.(3,\frac{1}{2})

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3 0
3 years ago
A cylinder has a radius of 14 m and a height of 6 m.
Irina18 [472]

Volume of the cylinder is 3696 m²

Step-by-step explanation:

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⇒ V = 22/7 × 14² × 6 = 3696 m²

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Does anyone know anyone who has Angelman or happy puppet syndrome?
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3 years ago
Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.
Vedmedyk [2.9K]
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius

we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units




4 0
3 years ago
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