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3 years ago

A ladder is placed with its foot 5m from the bottom of a wall 12m high. The top of the ladder just

Mathematics

1 answer:

Stels [109]3 years ago

8 0

Answer:

13 m

Step-by-step explanation:

The ladder forms a right triangle with the wall that has legs of 5 and 12. We need to solve for the length of the ladder, which in this case, is the hypotenuse of the right triangle. You could use the Pythagorean Theorem but there's an easier way to do this. We can use the 5 - 12 - 13 Pythagorean triple so we know that the length of the ladder is 13 m.

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Ed is 7 years older than Ted. Ed’s age is also 3/4 times Ted’s age. How old are Ed and Ted?

svetlana [45]

Let Ted be x.

Ed is 7 years older = x + 7

Ed = (3/4)Ted

(x + 7) = (3/4)x

x + 7 = 3x/4

x - 3x/4 = -7

x/4 = -7

x = -28, Ted = -28 years.

(x + 7) = -28 + 7 = -21, Ed = -21 years

Goodness. We had negative numbers for the ages, well does that make sense? No it doesn't.

Our answer is correct. But the sense in the question is lacking. The question has been wrongly set.

We might assume negative ages to mean before they came into the world, before birth!

7 0

3 years ago

Look at the two temperatures. How much have they changed by? 4 degrees to -10 degrees

aliina [53]

Answer:

$\displaystyle 14$

Step-by-step explanation:

we are given two temperature

4 degrees and -10 degrees

since it says to figure out the changed

substract

$\displaystyle 4 - ( - 10)$

remove parentheses and change its sign

$\displaystyle 4 + 10$

simplify addition:

$\displaystyle 14$

and we are done!

4 0

3 years ago

Read 2 more answers

Please answer with explanation if nonsense answers I will report so please answer properly

alexgriva [62]

Answer:

x = 2

Step-by-step explanation:

We know that

The diagonals of a rectangle are of equal length
The diagonals bisect each other

Considering the above we have:

EG = HF = 2JF = 2JH

Substitute the given values and solve for x:

24x - 8 = 2*(8x + 4)
24x - 8 = 16x + 8
24x - 16x = 8 + 8
8x = 16
x = 16/2
x = 2

3 0

2 years ago

the difference between a number and two times a number is seven the number is greater than zero what is the number

bagirrra123 [75]

7 is the answer

2x - x = 7
x = 7

3 0

3 years ago

Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write

andriy [413]

Answer:

d(x) = 3.5x + 0.5

Step-by-step explanation:

3.5 x 5 = 17.5 which means the canoe began from a starting point of 0.5

7 0

2 years ago