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3 years ago

1. How many integers are between square root of /5 and square root of /105? Show your work or Explain.

Mathematics

1 answer:

svp [43]3 years ago

7 0

Answer:

10x10 = 100 and 11x11 = 121. Since 100<105<121, 10<square root of 105<11. So the square root of 105 is between 10 and 11.

Step-by-step explanation:

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The points M(-7,2), N(-3,4), O(-5,8)M(−7,2),N(−3,4),O(−5,8), and P(-9,6)P(−9,6) form a quadrilateral. Find the desired slopes an

pochemuha

The slope of line PO and MN is 0.5. And the slope of the line ON and MP is negative 2. Then each length of the quadrilateral is 4.47 units.

<h3>What is a quadrilateral?</h3>

It is a quadrilateral with four sides. The total interior angle is 360 degrees.

The points M(−7,2), N(−3,4), O(−5,8), and P(−9,6) form a quadrilateral.

Then the slope of each line of the quadrilateral will be

The slope of the line PO will be

PO = (8-6)/(-5+9)

PO = 2/4

PO = 0.5

The slope of the line ON will be

ON = (8-4)/(-5+3)

ON = 4/(-2)

ON = -2

The slope of the line MN will be

MN = (4-2)/(-3+7)

MN = 2/4

MN = 0.5

The slope of the line MP will be

MP = (6-2)/(-9+7)

MP = 4/(-2)

MP = -2

Then each length of the quadrilateral will be

The length of PO will be

PO = √[(-9+5)² + (6-8)²]

PO = 4.47

The length of ON will be

ON = √[(-5+3)² + (8-4)²]

ON = 4.47

The length of MN will be

MN = √[(-3+7)² + (4-2)²]

MN = 4.47

The length of MP will be

MP = √[(-9+7)² + (6-2)²]

MP = 4.47

More about the quadrilateral link is given below.

brainly.com/question/13805601

#SPJ1

4 0

2 years ago

If (a,3) is a point on the graph of y=2x-5, what is a?

Afina-wow [57]

To solve this, you already have the y value of the coordinate, which is 3, and the x value is represented by a. Plug the values into your graph equation so that it looks like this: 3=2a-5
Then, add 5 to both sides to isolate 2a:
8=2a
Finally, divide both sides by 2 to get that a=4
Hope this helps!

3 0

3 years ago

If it rained 3 days out of 20 on what percentage of the days did it rain

algol13

$\frac{3}{20} = \frac{n}{100}$

Multiply 20 by 5 to get 100 so multiply the 3 by 5 also to get 15% of the days.

8 0

3 years ago

there are 4 banana smoothies, 1 strawberry smoothie and 1 watermelon smoothie in the refrigerator. without looking, what is the

Mamont248 [21]

There are four banana, one strawberry and one water-melon smoothies, six in all.

Assuming all smoothies are identical when we pick, then the probability of picking a particular one is one divided by the total number (of smoothies).

Since there are four banana smoothies, the probability of picking a banana smoothie is four divided by six, or four-over-six, or two-thirds.

There are now five smoothies remaining, of which three are banana. Therefore the probability of picking another banana is three-over-five, or three fifths.

The final probability is the product of the individual (we call it a two-step experiment), or two-third multiplied by three-fifths, equal to two-fifths, or forty percent.

Recall that if the first banana smoothie had been put back in the batch, the probability would come out different.

7 0

3 years ago

Which ordered pairs are on the line with equation 3x-y=2.

Juli2301 [7.4K]

The ordered pair (0 , -2) lies on the line with equation 3 x - y = 2

Step-by-step explanation:

To prove that a point lies on a line

Substitute x and y in the equation by the coordinates of the point
If the two sides of the equation equal each other, then the point lies on the line
If the two sides of the equation not equal each other then the point does't lie on the line

The equation of the line is 3 x - y = 2

a) Point (0 , -2)

∵ x = 0 and y = -2

- Substitute the values of x and y in the left hand side

∵ The left hand side is 3 x - y

∵ 3(0) - (-2) = 0 + 2 = 2

∴ The left hand side = 2

∵ The right hand side = 2

∴ The two sides of the equation are equal

∴ The ordered pair (0 , -2) lies on the line

b) Point (-3 , 4)

∵ x = -3 and y = 4

- Substitute the values of x and y in the left hand side

∵ The left hand side is 3 x - y

∵ 3(-3) - (4) = -9 - 4 = -13

∴ The left hand side = -13

∵ The right hand side = 2

∴ The two sides of the equation are not equal

∴ The ordered pair (-3 , 4) doesn't lie on the line

c) Point (1 , -5)

∵ x = 1 and y = -5

- Substitute the values of x and y in the left hand side

∵ The left hand side is 3 x - y

∵ 3(1) - (-5) = 3 + 5 = 8

∴ The left hand side = 8

∵ The right hand side = 2

∴ The two sides of the equation are not equal

∴ The ordered pair (1 , -5) doesn't lie on the line

The ordered pair (0 , -2) lies on the line with equation 3 x - y = 2

Learn more:

You can learn more about the linear equation in brainly.com/question/1979240

#LearnwithBrainly

4 0

4 years ago