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3 years ago

What two integers does the square root of 38 come between

Mathematics

1 answer:

otez555 [7]3 years ago

8 0

Answer:

38 is not a perfect square.

square root of 38 is 6.164

it is between 6 and 7

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In the formula, l = a + (n - 1)d make d as the subject. Find d when l = 10, a = 2, n = 5.

coldgirl [10]

<h3>Given:-</h3>

I = a + (n - 1)d [Given formula]

Find d when I = 10, a = 2, n = 5

<h2>Solution:-</h2>

I = a + (n - 1)d [Given]

Putting the value of I = 10, a = 2, n = 5 we get,

10 = 2 + (5 - 1)d

10 = 2 + 4d

10 - 2 = 4d

8 = 4d

d = $\frac{8}{4}$

d = 2

<h3>Value of d is 2. [Answer]</h3>

6 0

3 years ago

1. Six less than n is less than - 4. how would o write this equation

posledela

Answer:

n - 6 < -4

Step-by-step explanation:

6 being less than n hints at a subtraction equation, n coming first as the value of the constant is currently unknown. 'Less than -4' hints that -4 is the value on the other side of the inequality, < acting as the 'equal' sign in this sense.

6 0

4 years ago

Read 2 more answers

Solve the simultaneous equation: 5 x + 2 y = 25 5 x − y = 10

Liono4ka [1.6K]

Answer:

(x, y) = (3, 5)

Step-by-step explanation:

$5x+2y=25\\5x-y=10$

Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:

$5x+2y=25\\\\2(5x-y=10)\\10x-2y=20$

Add from top to bottom:

$\rightarrow (5x+10x)+(2y-2y)=25+20\\\rightarrow 15x=45\\\rightarrow x=3$

Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:

$\rightarrow 5x-y=10\\\rightarrow 5(3)-y=10\\\rightarrow 15-y=10\\\rightarrow -y=-5\\\rightarrow y=5$

(x, y) = (3, 5)

4 0

3 years ago

Read 2 more answers

2. The volume of a cylinder varies jointly with its height and the square of the radius. A 7.85 cubic inch spice container is 2.

Natali [406]

Answer:

Volume=21.195 cubic inch

Step-by-step explanation:

The volume of a cylinder varies jointly with its height and the square of the radius is expressed as

V∝hr^2

Introducing our constant of proportionality,K we have that

V =Khr^2

Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that

V =Khr^2

7.85=K 2.5 X 1^2

K=7.85/2.5 x1

K=3.14

Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?

V =Khr^2

V=3.14 X 3 X 1.5^2

V=21.195 cubic inch

6 0

3 years ago

According to a student survey, 16 students liked history, 19 liked English, 18 liked math, 8 liked math and English, 5 liked his

Bogdan [553]

When building a Venn Diagram, I always start from the area with the most overlap to the areas of least overlap. Once you have placed the 3 in the middle, you have counted those people, and therefore you must subtract them from the other surveys. Example: since there are 3 people that like all three subjects, now only have 5 students that like just math and English instead of 8.

Therefore:
A) 36 Students were in the survey
*Add all the numbers within the Venn diagram up. Overlapping doesn't matter because no one is double counted.

B) 6 People liked only Math
*Can't touch any other circle but Math

C) 20 Students liked English and math, but not history
*You add 9+5+6, since these bubbles are not overlapping with history.

I Hope this helps and let me know if you have any further questions!

4 0

4 years ago