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3 years ago

Where would square root 113 be located on a number line

Mathematics

1 answer:

Amanda [17]3 years ago

5 0

Answer: It's between 10 and 11

It's closer to 11 than it is to 10.

This is because $\sqrt{113} \approx 10.63$ after using a calculator.

You could also look at the list of perfect squares

{1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144,...}

The terms in bold are where 113 fits in between. So we can say,

$100 < 113 < 121\\\\\sqrt{100} < \sqrt{113} < \sqrt{121}\\\\10 < \sqrt{113} < 11\\\\$

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What is the measure of x, in degrees

Stells [14]

Answer: B is correct, 40 degrees.

Step-by-step explanation:

70 is the given angle, z is equivalent to that angle, so z is 70. So add those together, and you have 140. According to the rule, a triangle will always add up to 180. So 180-140=40 and there's your answer. Hope this helps!

4 0

3 years ago

Item 9 a flight averages 460 miles per hour. the return flight averages 500 miles per hour due to a tailwind. the total flying t

Ksenya-84 [330]

Let us say that the variables for flight is designated by 1, while the return flight by 2, since the distance travelled are equal, therefore:

v1 t1 = v2 t2

460 t1 = 500 t2

Since t1 + t2 = 4.8, therefore: t1 = 4.8 – t2

460 (4.8 – t2) = 500 t2

2208 – 460 t2 = 500 t2

960 t2 = 2208

t2 = 2.3

t1= 4.8 – t2 = 4.8 – 2.3

t1 = 2.5

Answer:

The flight took 2.5 hours while the return flight took 2.3 hours.

8 0

3 years ago

For f(x) = 3x2 - 2, find F(x) = f(x)dx

klemol [59]

Answer: below

Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)

Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.

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7 0

3 years ago

Read 2 more answers

The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)

wlad13 [49]

Answer:

The values are:

$a = -5/2$

$b = -6$

$c = -7$

Step-by-step explanation:

Given:

P = (x₁, y₁, z₁) = (1, 2, b)

Q = (x₂, y₂, z₂) = (c, -7, 4)

m = R = (x, y, z) = (-3, a, -1)

To Determine:

a = ?

b = ?

c = ?

Determining the values of a, b, and c

Using the mid-point formula

$m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)$

As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b) and Q(c,-7,4), so

m = R = (x, y, z) = (-3, a, -1)

Using the mid-point formula

$m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)$

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P, (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula

$m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)$

$\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)$

as (x, y, z) = (-3, a, -1), so

$\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)$

Determining 'c'

-3 = (1+c) / (2)

-3 × 2 = 1+c

$1+c = -6$

$c = -6 - 1$

$c = -7$

Determining 'a'

a = (2+(-7)) / 2

$2a = 2-7$

$2a = -5$

$a = -5/2$

Determining 'b'

-1 = (b+4) / 2

$-2 = b+4$

$b = -2-4$

$b = -6$

Therefore, the values are:

$a = -5/2$

$b = -6$

$c = -7$

6 0

3 years ago

Whats the common denominator of 5/6 and 1/2?

gavmur [86]

Answer: 3/6 and 5/6

Step-by-step explanation:

5 0

3 years ago