Answer:
16
Step-by-step explanation:
So the number of tulips (t) plus the number of daffodils (d) should equal up to 20. So if we write that as an equation, it would t + d = 20. So now we have to find what two numbers could add up to 20, but let's not forget that the number of daffodils is equal to the square root of the number of tulips.
So now we have to find a number when added to its square root is 20. So going by process of elimination, you can eliminate 5 because the square root of that is a decimal and 5 plus a decimal isn't going to add up to 20. You know you can eliminate 20 because it already reaches the limit with the number of tulips, not allowing enough room for daffodils. You can eliminate 4 because the square root of that is 2, and 4 + 2 = 6, not 20.
So that leaves 16... The square root of 16 is 4, because 4 divided by itself twice equals 16. Now, let's add them and see if it equals 20. 16 tulips + 4 daffodils = 20. So 16 is your answer.
Sorry I am bad at explaining things, but I hope this helps anyway!
SinA= 16/20= 4/5=0.8 degree
cosA=12/20=3/5=0.6 degree
tanA=16/12= 4/3=1.33 degree
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
4) 81°
5) 37°
6) 42°
7) 138°
8) 73°
9) 73°
10) 30°
The car was towed 44miles (162 - 30 = 132. 132 divided by 3 = 44)
