Answer:
97km/h to 1dp
Step-by-step explanation:
47mins is 0.783 of an hour
76km/0.783 = 97.0212km/h
Because the ratio of a 45,45,90 triangle is 1:1: square root 2, x=4.
:)
Question not well presented and diagram is missing
Quadrilateral WILD is inscribed in circle O.
WI is a diameter of circle O.
What is the measure of angle D?
See attached for diagram
Answer:
Step-by-step explanation:
Summation of opposite angles of a quadrilateral inscribed in a circle is 180°, given that the vertices are on the circle.
Given
<WIL = 45°
<ILD = 109°
In the attached;
<WIL + <WDL = 180° (Opposite angle of quadrilateral)
Substitute 45° for <WIL in the above expression
45° + <WDL = 180° ---- Collect like terms
<WDL = 180° - 45°
<WDL = 135°
Hence, the measure of angle D is 135° (See attached)
Answer is B.
8^1/3 = (2^3)^1/3 = 2
Answer:
Christopher can take 56 different groups of 5 shirts.
Step-by-step explanation:
Christopher has 8 unique shirts.
Out of these only 5 can fit in his bag.
So the number of ways in which he can choose 5 shirts from the available 8 is given by ![\[_{5}^{8}\textrm{C}\] ](https://tex.z-dn.net/?f=%5C%5B_%7B5%7D%5E%7B8%7D%5Ctextrm%7BC%7D%5C%5D%0A)
This can be evaluated as
Simplifying further,
= ![\[\frac{6*7*8}{1*2*3}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B6%2A7%2A8%7D%7B1%2A2%2A3%7D%5C%5D)
= 56
So Christopher has 56 choices to select 5 shirts out of 8.