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2 years ago

Noam walks home from school by walking 8 blocks north and then 6 blocks east. How

Mathematics

1 answer:

TEA [102]2 years ago

6 0

Answer:

4 blocks shorter.

Step-by-step explanation:

Noam walks home from school by walking 8 blocks north and then 6 blocks east.

If Noam walks 8 blocks from School at A towards north to the point B and then from B towards east by 6 blocks to reach home at C, then Δ ABC will form a right triangle whose sides with 90° are AB = 8 blocks and BC = 6 blocks and AC is the hypotenuse which is given by

AC² = AB² + BC² = 8² + 6² = 100

⇒ AC = 10 blocks.

So, total distance that Noam travels is (8 + 6) = 14 blocks.

And if he walks along AC, then the distance will be 10 blocks which is (14 - 10 ) = 4 blocks shorter than his actual path. (Answer)

You might be interested in

A log-level model relating the natural logarithm of house price, y, to square footage was fit. The fitted model is stack ln (p r

Musya8 [376]

Answer:

$255,331

Step-by-step explanation:

Calculation for the estimated price

ln (price) =11.65 +0.000473*square foot

Square feet =1,692

First step is to find the ln (price)

ln (price) =11.65 +0.000473*1,692

ln (price)=12.450316

Last step is to calculate the Estimated price by using calculator to find the exponential of 12.450316

Estimated price=e^(12.450316)

Estimated price=$255,330.99

Estimated price=$255,331 Approximately

Therefore the estimated price of a house that is 1,692 square feet will be $255,331

7 0

2 years ago

Brad has eight more nickels than quarters. Altogether he has $6.10. how many of each does he have

wlad13 [49]

Brad have 19 quarters and 27 nickels.

Step-by-step explanation:

Given,

Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents

One quarter = 25 cents

One nickel = 5 cents

Let,

x represent the number of quarters.

y represent the number of nickels.

According to given statement;

25x+5y=610 Eqn 1

y = x+8 Eqn 2

Putting value of y from Eqn 1 in Eqn 2

$25x+5(x+8)=610\\25x+5x+40=610\\30x=610-40\\30x=570$

Dividing both sides by 30

$\frac{30x}{30}=\frac{570}{30}\\x=19$

Putting x=19 in Eqn 2

$y=19+8\\y=27$

Brad have 19 quarters and 27 nickels.

Keywords: linear equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

7 0

2 years ago

Jason had to replace the floor of a triangular portion of his dining room. The portion had a height that was twice as high as th

Eva8 [605]

Answer:

4 feet

Step-by-step explanation:

We know the the area of a triangle can be represented as $\frac{bh}{2}$ .

Since the height is twice the base, we can substitute the value $2b$ in as $h$ in the expression, making it $\frac{b\cdot2b}{2}$ . If the area is 16, we can make the equation