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2 years ago

A map that has a scale of 3 cm: 18 km. If Riverside and Smithville are 54km apart then they are how far apart on the map?

1 answer:

8 0

Setting up the ratio, you get 3/18=x/54. Solve the proportion, you get that Riverside and Smithville are 9 cm apart on the map.

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What are the factors of x^2-64

mel-nik [20]

Difference Of Two Squares
a^2 - b^2 = a^2 - b^2
so
x^2-64
=x^2 - 8^2
= (x + 8)(x - 8)

8 0

2 years ago

EVERYONE, PLEASE HELP I NEED THIS DONE

zimovet [89]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

$\frac{32}{40}$

Both 32 and 40 are divisible by 8.
32÷8=4

40÷8=5

Thus, the simplest form is $\frac{4}{5}$

7 0

1 year ago

Read 2 more answers

Solve this for Brainliest! See the attachment [Level - GCSE]

madreJ [45]

Answer:

$x = 3 + 4\sqrt{3}$

Step-by-step explanation:

OPQ is a right angle triangle.

Using Pythagoras

$x^{2} + (x+5)^{2} = (x+8)^{2}\\x^{2} + x^{2} + 10x +25 = x^{2} + 16x + 64\\x^{2} + x^{2} - x^{2} + 10x - 16x + 25 - 64 = 0\\x^{2} - 6x -39 = 0$

Using quadratic formula

$x = \frac{-b \± \sqrt{b^{2}-4ac}}{2a}\\x = \frac{-(-6) \± \sqrt{(-6)^{2}-4(1)(-39)}}{2(1)}\\x = \frac{6}{2} \± \frac{\sqrt{192}}{2}\\x = 3 \± \frac{8\sqrt{3}}{2}\\x = 3 \± 4\sqrt{3}$

$x = 3 + 4\sqrt{3} = 9.928(4s.f.)$

$x = 3 - 4\sqrt{3} = -3.928(4s.f.)$ (Length can't be negative)

∴ $x = 3 + 4\sqrt{3}$

3 0

1 year ago

Read 2 more answers

Coles has cut the price of Cadbury's chocolate bars by 20%. Their normal price is $3.45. A shareholder who has a Coles-Myer disc

pickupchik [31]

The first discounted price is given through the equation,
discounted price = ($3.45)(1 - 0.20) = $2.76
Then, due to the privilege of being a Coles-Myer discount card holder, another 7.5% discount is given. Such that the final price would be,
final price = ($2.76)(1 - 0.075) = $2.553
The total amount saved up is equal to,
$3.45 - $2.553 = $0.897

5 0

2 years ago

First, he needs to run to the store. To get to the store from his apartment, he can walk 1.2 miles North and 0.5 miles East alon

Pachacha [2.7K]

Answer:

If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.

If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.

Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.

6 0

2 years ago