Answer:
<h2>cos 60° = 1/2 because the angles are complements</h2>
Step-by-step explanation:
Given sin 30° = 1/2, to check which of the statements is correct we will apply the Pythagoras theorem to a right angled triangle shown in the attachment.
using the SOH CAH TOA trig identity on the right angled triangle, ACD gotten from the equilateral triangle ABC;
From ΔACD, AD is the hypotenuse, DC is the opposite side to the angle 30° and AC is the adjacent.
From the diagram, sin30° = opp/hyp = DC/AD
sin30° = 1/2
Taking consideration of the acute angle 60°, the opposite side to the angle will be AC and the adjacent side will be CD.
According to CAH, cos 60° = adj/hyp = CD/AD
Given CD = 1 and AD = 2
cos60° = 1/2
This shows that sin30° = cos60° = 1/2
Note that ∠CDA and ∠DAC are angles complementary. Complementary angles are angles which have its sum to be 90°
Answer:
D 70,000
Step-by-step explanation:
Answer:
1.4
Step-by-step explanation:
We have been given that the number of raisins in a box of a popular cereal is normally distributed, with a mean of 133 raisins per box and a standard deviation of 10 raisins. My cereal box has 147 raisins.
To find the z-score for this box of cereal, we will use z-score formula.
, where,
z = Z-score,
x = Sample score,
= Mean,
= Standard deviation.
Upon substituting our given values, we will get:
Therefore, the z-score for this box of cereal is 1.4.
Answer: 32 buttons
Step-by-step explanation:
Matt has 11 white buttons.
Matt has 9 fewer brown buttons than white buttons. This means he has (11 -9) = 2 brown buttons
Matt has 17 more grey buttons than brown buttons. This means that he has (2 + 17) = 19 grey buttons.
The total number of buttons that Matt has will be;
= 11 white + 2 brown + 19 grey
= 32 buttons
Answer:
Solution = -2x-7y=-4
Step-by-step explanation:
Add the x-component to the x-component, add the y-component to the y-component, add the number to the number.
It looks like this
5x + (-7x) = -2x
9y + (-2y) = -7y
1 + (-5) = -4
Then, put the solutions in the places where you see them in the equation, x goes first, y comes second, then this equals the number value.
-2x - 7y = -4