Answer:
9.48
Step-by-step explanation:
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(30°) = 5/x
Solving for x, we get ...
x = 5/sin(30) = 5/0.5
x = 10
_____
It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...
1 : √3 : 2
That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.
Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78
Answer:
18° and 72°
Step-by-step explanation:
let x be the measure of one angle then the other is 3x + 18
The sum of the 2 complementary angles = 90°, hence
x + 3x + 18 = 90
4x + 18 = 90 ( subtract 18 from both sides )
4x = 72 ( divide both sides by 4 )
x = 18
the 2 angles are 18° and (3 × 18 ) + 18 = 72°
I think the correct answer would be the second option. Given the data above, the type of association that the scatter plot would show would be a positive linear association. It is best if you plot these points so you will see that there is an almost linear relation of the points. By doing linear regression, you can validate that the correlation of the data points would be linear. A positive linear association would mean that it changes linearly from the left increasing to the right. So, most likely, the graph would be sloping up to the right and it can be observed for the given data above.
