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tekilochka [14]
3 years ago
11

Toby put a 13 foot ladder against the side of his house. The distance from the base of the house to the top of the ladder is 12

ft. How far is the base of the ladder from the base of the house?
Mathematics
1 answer:
Serggg [28]3 years ago
6 0

Answer:

<h3>5 feet</h3>

Step-by-step explanation:

The set up will give a right angles triangle with:

length of the ladder as the hypotenuse h = 13 foot

The distance from the base of the house to the top of the ladder is the opposite side (y) = 12 feet

The distance of the base of the ladder from the base of the house wil be the adjacent side (x)

Using the pythagoras theorem to get x:

h² = x²+y²

13² = x²+12²

x² = 13²-12²

x² = 169 -144

x² = 25

x = √25

x = 5 feet

Hence the distance of the base of the ladder from the base of the house is 5 feet long

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The solution of the given equations is: (-1.5, 1.5)

Step-by-step explanation:

Linear equation usually represents a straight line. When a system of two liner equations is given, the point of intersection of lines represented by both equations is the solution of the system of equations.

We will plot the lines of both equations and find their point of intersection (Picture Attached)

We can see in the picture that two lines intersect at (-1.5, 1.5)

Hence,

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Keywords: Linear equations, variables

Learn more about linear equations at:

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3 years ago
a triangle has a height of 34 inches and an area of 391 square inches. Which equation can be used to find the base of the triang
tester [92]

Answer:

The area of a triangle is the space contained within its 3 sides. To find out the area of a triangle, we need to know the length of its three sides. The sides should be measured in feet (ft) for square footage calculations and if needed, converted to inches (in), yards (yd), centimetres (cm), millimetres (mm) and metres (m). The formula:

Square feet to square meters: multiply ft² by 0.092903 to get m²

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Step-by-step explanation:

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A builder makes drainpipes that drop 1cm over a horizontal distance of 30cm to prevent clogs. A certain drainpipe needs to cover
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Answer:

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Step-by-step explanation:

For a horizontal distance of 30cm, the drop is 1cm, now we need to get the drop for horizontal distance of 700 cm to maintain the same slope

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Rounded off, the length is approximately 700.39 cm

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Multiply 40x7 then subtract that total you got from multiplying 40x7 with 420

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4 0
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Plz help me due today
GREYUIT [131]

Answer:

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