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3 years ago

-11.5 -9.5 How do they compare select the symbol. < = >

Mathematics

1 answer:

inn [45]3 years ago

4 0

Answer:

The symbol is <, because -11.5 < -9.5

Step-by-step explanation:

The number line is arranged from smallest to greatest numbers, and when you read the numbers you start from left to right, so the numbers in the left are smaller than the number in the right

In the set of the negative numbers, the greatest value is the smallest number

Examples

-1 is greater than -2 because -2 lies before -1 on the number line

∵ The numbers are -11.5 and -9.5

∵ The number -11.5 is before the number -9.5 on the number line

- That means -11.5 is smaller than -9.5

∴ -11.5 < - 9.5

∴ The symbol is <

<em>Look to the attached figure for more under stand</em>

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Below are two parallel lines with a third line intersecting them.

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Answer:

Its 138°

Step-by-step explanation:

they the same angles

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3 years ago

Prove algebraically that the straight line with equation x =2y+5 is a tangent to the circle with equation x ² +y ²

mrs_skeptik [129]

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

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

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

x = 2y + 5 ...1

x² + y² = 5 ...2

If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.

Then from equations 1 and 2, we have

(2y + 5)² + y² = 5

4y² + 25 + 20y + y² - 5 = 0

5y² + 20y + 20 = 0

5y² + 10y + 10y + 20 = 0

5y (y + 2) + 10(y + 2) = 0

(5y + 10)(y + 2) = 0

y = -2, -2

Then the value of y is unique then the value of x will be unique.

The value of x will be

x = 2(-2) + 5

x = -4 + 5

x = 1

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

More about the circle link is given below.

brainly.com/question/11833983

#SPJ1

4 0

2 years ago

The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probabilit

Ivan

Answer:

139/150

Step-by-step explanation:

Let's make a list of the perfect squares.

1 4 9 16 25 36 49 64 81 100 121 144

The probability that one of these is drawn is 12/150 = 4/50 = 2/25

Take out 1. So that means there are 11 perfect squares.

11/150 are your chances of getting a perfect square.

1 - 11/150 = 139/150 that you will not get a perfect square.

I would have included 1 in the perfect squares, but the question says not to so you can't.

If the question did not mean that 1 should be excluded, then the answer is 23/25

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3 years ago

The map shows the location of four places in a school. A coordinate plane is shown. There is a point at 5, 2 labeled Front offic

REY [17]

The library is in the 4th quadrant (+x,-y)

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3 years ago

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There are 20 blue dye 6 red dye and 14 green dye what is the probability of me selecting the green dye

Vesnalui [34]

Answer:

$\boxed {\boxed {\sf \frac{7}{20} \ or \ 35 \% }}$

Step-by-step explanation:

Probability tells us how likely something is to occur. It is found by dividing the favorable outcomes by the total outcomes.

$P=\frac{favorable \ outcomes}{total \ outcomes}$

In this question, a favorable outcome is selecting a green dye. The total outcomes are all the dyes.

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$P(green \ dye)=\frac{14}{40}$

Reduce the fraction. Both the numerator and denominator can be divided by 2.

$P(green \ dye) =\frac{14/2}{40/2}$

$P (green \ dye)=\frac {7}{20}$

This is the probabilty as a fraction. It can also be written as a percent. Divide the fraction, then multiply by 100.

$P(green \ dye)=\frac{7}{20}*100$

$P(green \ dye)=0.35 *100$

$P(green \ dye)=35 =35 \%$

The probablity of selecting a green dye is <u>7/20 or 35%</u>

3 0

3 years ago

Read 2 more answers