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3 years ago

How does difference of squares work?

1 answer:

6 0

Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results. Step 3: Determine if the remaining factors can be factored any further.

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Oliver walks 5/8 of a mile in 1/6 of an hour. What is his unit rate in miles per hour?

stealth61 [152]

Answer:

3.75 miles per hour

Step-by-step explanation:

(5/8)/(1/6)=3.75 mph, or you could do 5/8 x 6, since 1/6 x 6 equals one hour

7 0

3 years ago

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name the intersection of rs and st assume that rs and st are not collinear. a. rs. b.ts c. t d.s

Katen [24]

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

RS and ST intersect to each other but they are not collinear.

Since we can see that 'S' is common in both RS and ST,

as RS and ST have common vertex i.e. "S".

So, The intersection of RS and ST is 'S'.

So, Option 'd' is correct.

8 0

3 years ago

Read 2 more answers

A student rides his bike 6 1/4 miles in 1/3 hour. What is his rate in miles per hour?

Vladimir79 [104]

6 1/4 = 25/4

(25/4)*3 = 75/4

(72+3)/4 = 72/4 + 3/4 = 18 3/4 miles per hour

4 0

4 years ago

The perimeter of a particular square and the circumference of a particular circle are equal. What is the ratio of the area of th

Tasya [4]

Ratio of the area of the square to the area of the circle is $\frac{\pi}{4} : 1$

In terms of fraction $\frac{\pi}{4}$

Solution:

Given that perimeter of a particular square and the circumference of a particular circle are equal

To find: ratio of the area of the square to the area of the circle

Let the side of square be "a" and radius of circle be "r"

The perimeter of square is given as:

Perimeter of square = 4a

The circumference of circle is given as:

Circumference of circle = 2πr

From given,

perimeter of a particular square and the circumference of a particular circle are equal

perimeter of a particular square = circumference of a particular circle

$4a = 2 \pi r\\\\a = \frac{\pi r}{2}$

We need to find the ratio of the area of the square to the area of the circle.

We know that,

$\text{ Area of the square }= a^2\\\\\text{ Area of the circle }= \pi r^2$

Ratio of area of square to area of circle = $a^2 : \pi r^2$

Substituting the value of $a = \frac{\pi r}{2}$ in above ratio,

Ratio of area of square to area of circle = $(\frac{\pi r}{2})^2 : \pi r^2$

On reducing to lowest terms we get,

⇒ $\frac{\pi^2 r^2}{4} : \pi r^2 = \frac{\pi}{4} : 1$

In terms of fraction we get,

$\frac{\pi}{4} : 1 = \frac{\frac{\pi}{4}}{1} = \frac{\pi}{4}$

Thus ratio of the area of the square to the area of the circle is $\frac{\pi}{4} : 1$

3 0

4 years ago

Solve the right triangle ABC (round to the nearest tenth): angle B = a = b =

brilliants [131]

Answer: angle B= 54 degrees, a=6, b=8

Step-by-step explanation:

Add the two angles we have to get 126 degrees. Subtract that from 180 degrees to get 54 degrees.

We don't know enough to say which is which for a and b, but we can know that it is 6 and 8 because of pythagorean triples (3,4,5).

6 0

3 years ago

Read 2 more answers