Answer: 33 minutes
Step-by-step explanation:
Hi to answer this question we have to write a proportion
Speed rate = 88 step per minute
Time = 90 minutes
So, the proportion is 88 step/min / 90 minutes
For 33 steps per minutes = 33 / x minutes
88/90 = 33/x
solving for x:
x= 33/ (88/90)
x = 33.75 = 33 minutes.
Feel free to ask for more if needed or if you did not understand something.
So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.
So you can use proportions here.
AB / AC = AD / AE
AB = AD + DB = 6 + 1 = 7
AC = AE + 3
AD = 6
So plug in these values:
AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE
Now do the cross multiply:
7 AE = 6 (AE + 3)
Now solve for AE:
7AE = 6AE + 18
AE = 18
Answer:
D.) It has rotational symmetry with an angle of rotation of 90 degrees.
Step-by-step explanation:
i) the shape shown in the figure has reflectional symmetry with four lines of symmetry. There are four lines of symmetry such that each line when drawn divides the shape into two exact halves such that if each half were too be folded across the line of symmetry it would produce the other half exactly.
Therefore Option A.) and Option B.) are not true
ii) It has point symmetry which means if the shape is rotated by 180 degrees the shape does not change. Therefore Option C.) is not true.
iii) the shape has rotational symmetry because if the shape is rotated though any between 0 degrees and 360 degrees the shape appears to be unchanged.
Therefore the correct options are
D.) It has rotational symmetry with an angle of rotation of 90 degrees.
Answer:
Step-by-step explanation:
H0: µ1 – µ2 = 0
HA: µ1 – µ2 ≠ 0
We have given,
The population variances are not known and cannot be assumed equal.
The test statistic for the test is
Where,
= sample meaan of population 1
= sample mean of population 2
= sample size of population 1
= sample size of population 2
Therefore, this is the test
Answer:
c divided by 8
Step-by-step explanation:
