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Tom [10]
2 years ago
14

Solve using a proportion. Round to the nearest hundredth.

Mathematics
1 answer:
aleksley [76]2 years ago
5 0

Answer:

The length of the ladder would be 32 feet.

Step-by-step explanation:

In order to find the missing value, we create a proportion. We can do this by making two fractions -- the numerator being the depicted length and the denominator being the actual length.

(1.5/4) = (12/x)

Since we don't know the actual length of the ladder, we put it in as x. Now we can cross multiply to solve.

(1.5/4) = (12/x)

1.5*x = 4*12

1.5x = 48

x = 32

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What is 3/5 × 4/9 as a fraction.<br><br> Plz help :(
lozanna [386]
3/5 * 4/9 = 4/15. Hope this helps

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3 years ago
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IrinaK [193]

Answer:

y = 10x + 7

Step-by-step explanation:

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2 years ago
Ryan bought 6 apples and 9 peaches for a total of $7.86. Madi bought 4 apples and 5 peaches for $4.82.
sergey [27]
Let's call:
a = price of 1 apple
p = price of 1 peach

The total cost is the price of 1 apple times the number of apples plus the price of 1 peach times the number of peaches, therefore the system can be:
\left \{ {{6a + 9p = 7.86} \atop {4a + 5p = 4.82}} \right.

Solve for a in the second equation (you can choose to solve for any of the variables in any of the equations, try to understand what is the best):
a = (4.82 - 5p) / 4

Now, substitute in the first equation:
6 · (4.82 - 5p) / 4 + 9p = 7.86
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6 0
3 years ago
Match the equations with their solutions over the interval [0, 2π].
nignag [31]

I solved this using a scientific calculator and in radians mode since the given x's is between 0 to 2π. After substitution, the correct pairs are:

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cos(π/6)tan(π/6) – ½ = 0

cos(5π/6)tan(5π/6) – ½ = 0

 

sec(x)cot(x) + 2 = 0 → 7π/6 and 11π/6

sec(7π/6)cot(7π/6) + 2 = 0

sec(11π/6)cot(11π/6) + 2 = 0

 

sin(x)cot(x) + 1/sqrt2 = 0 → 3π/4 and 5π/4

sin(3π/4)cot(3π/4) + 1/sqrt2 = 0

sin(5π/4)cot(5π/4) + 1/sqrt2 = 0

 

csc(x)tan(x) – 2 = 0 → π/3 and 5π/3

csc(π/3)tan(π/3) – 2 = 0

csc(5π/3)tan(5π/3) – 2 = 0

5 0
3 years ago
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Math?
Mrac [35]
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7 0
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