The irrational numbers are: √8, √10 and √15
Step-by-step explanation:
A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.
"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"
So in the given options

Which can be written in the required form so √4 is a rational number

√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

Which can be written in the required form so √36 is a rational number
Hence,
The irrational numbers are: √8, √10 and √15
Keywords: Rational numbers, Irrational numbers
Learn more about rational numbers at:
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Question 7: Option 1: x = 33.5°
Question 8: Option 3: x = 14.0°
Step-by-step explanation:
<u>Question 7:</u>
In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle
So,
Perpendicular = P = 32
Hypotenuse = H = 58
So,

Rounding off to nearest tenth
x = 33.5°
<u>Question 8:</u>
In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x
So,
Perpendicular = P = 5
Base = B = 20
So,

Rounding off to nearest tenth
x = 14.0°
Keywords: Right-angled triangle, trigonometric ratios
Learn more about trigonometric ratios at:
#LearnwithBrainly
The weight of a 170 cm steel bar will be 5 Kg
Step-by-step explanation:
Derek uses a 136 cm flat steel bar that weighs 4 kg to make rack in the garage.
1 kg = 1000 gm
So the weight of 1 cm steel bar will be
kg
Weight of 1 cm bar =
gm
Let the weight of a 170 cm steel bar will be
×
gm
⇒
×
gm
⇒ 5000 gm
⇒5 kg
Hence, the weight of a 170 cm steel bar will be 5 Kg
Answer, Step-by-step explanation:
According to the exercise, we evaluate the delivery time of a courier company and we will hypothesize the best case with a sample size of 10, which is:
Small sample T test for single mean
The hypothesis that we will develop will be the following:
null hypothesis = mu> = 6
hypothesis alternativa: <6
Answer:
m=0 (m is the slope)
Step-by-step explanation:
m=y2-y1/x2-x1
m=6-6/1-5
m=0/4
m=0
*Note: If the zero is in the denominator (on the bottom) the slope is undefined (UND).