All categories

3 years ago

Find two consecutive whole numbers that square root 97 lies between

Mathematics

2 answers:

lora16 [44]3 years ago

8 0

Answer: 9 and 10

Step-by-step explanation:

To understand this question we need to first understand how to solve square root equations! The easiest way to learn how to solve square root problems is by finding the reverse of the problem.

For example, if you tried to find the square root of 25, you would reverse the problem to do 5^2 = 5 x 5 = 25.

So if we were to implement this problem, we would look at these two whole numbers.

9^2 = 9 x 9 = 81

10^2 = 10 x 10 = 100

Thus meaning that the only two numbers that the square root of 97 lies between can be 9 and 10!

It's important to rely on your knowledge of multiplication to develop a strong base for square roots.

antoniya [11.8K]3 years ago

7 0

Answer:

9 & 10

Step-by-step explanation:

97 lies between two perfect squares, 81 and 100

Hence sqrt(97) would lie between sqrt(81) and sqrt(100), which are 9 and 10

You might be interested in

How do I determine if -3x+y =8 is a function?

Svet_ta [14]

Answer- To determine if Y=-8 is a function, you must do the vertical line test. If you were to plot Y=-8 on a coordinate plane, you would see that at the point of (0,-8)[which is what Y=-8 is also] is on the Y axis and makes a horizontal linet hat passes through (o,-8).

5 0

3 years ago

Read 2 more answers

What is the common difference of an arithmetic sequence defined by the formula an=2n−4?

Ainat [17]

Answer:

d = 2

Step-by-step explanation:

Generate the first few terms

a₁ = (2 × 1) - 4 = 2 - 4 = -2

a₂ = (2 × 2) - 4 = 4 - 4 = 0

a₃ = (2 × 3) - 4 = 6 - 4 = 2

a₄ = (2 × 4) - 4 = 8 - 4 = 4

d = 0 - (- 2) = 2 - 0 = 4 - 2 = 2

5 0

3 years ago

Read 2 more answers

But all this-the mysterious, far-reaching hair-line trail, the absence of sun from the sky, the tremendous cold, and the strange

ICE Princess25 [194]

Answer:huh

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A bicycle tire is slowly losing air. the table shows the air pressure left in the tire after each hour. Which statement about th

kolezko [41]

Answer:

the data shows a linear relationship because the rate of change in decreasing

Step-by-step explanation:

hope it helps

3 0

3 years ago

mafiozo [28]

Answer:

$x$ = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of $x$ , we need to add together all the interior angles and equal it to 720, then solve for $x$ .

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°

Therefore:

A + B + C + D + E + F = 720

(10 $x$ - 5) + 108 + (8 $x$ - 3) + (14 $x$ - 25) + 133 + 128 = 720

Collect like terms:

10 $x$ + 8 $x$ + 14 $x$ - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32 $x$ + 336 = 720

Subtract 336 from both sides:

32 $x$ = 384

Divide both sides by 32:

$x$ = 12

8 0

2 years ago