The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.
<h3>What is a rational number?</h3>
If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
1. √100 × √100
→ √100 × √100
→ 10 × 10 = 100
This is a rational number.
2. 13.5 + √81
→ 13.5 + √81
→ 13.5 + 9 = 22.5
This is a rational number.
3. √9 + √729
→ √9 + √729
→ 3 + 27 = 30
This is a rational number.
4. √64+ √353
→ √64 + √353
→ 8 + √353
This is an irrational number.
5. 1/3 + √216
→ 1/3 + √216
→ 1/3 + √216
This is an irrational number.
6. 1/5 + 2.5
→ 1/5 + 2.5
→ 0.2 + 2.5 = 2.7
This is a rational number.
More about the rational number link is given below.
brainly.com/question/9466779
These are the answers. You subtract 6 from -3 giving you n≥-9. Since n/3 is a fraction, in order to undo it we must multiply it to the other side, giving us n≤-63.
1. n≥-9
3. n≤-63
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Answer:
39.6 cm
Step-by-step explanation:
Applying
s = 2πrθ/360................ Equation 1
Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes
From the question,
Given: r = 9 cm, θ = 252°
Constant: π = 22/7 = 3.14
Substitute these values into equation 1
s = (2×3.14×9×252)/360
s = 39.564
s = 39.6 cm
Answer:
The rise is -5 the run is 4
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-5
4
=
-1.25
θ =
arctan(
ΔY
) + 360°
ΔX
=
308.65980825409°
ΔX = 2 – -2 = 4
ΔY = -1 – 4 = -5
Distance (d) = √ΔX2 + ΔY2 = √41 = 6.4031242374328
Equation of the line:
y = -1.25x + 1.5
or
y =
-
5
x
4
+
3
2
When x=0, y = 1.5
When y=0, x = 1.2
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Answer:m=-6/5
Step-by-step explanation: To figure this out you need to use the slope formula.
m=y2-y1/x2-x1
m=-17-1/17-2
m=-18/15
This Can then be reduced to m=-6/5
