Answer:
4 yellow rosebushes
Step-by-step explanation:
Givens(What the question tells us):
m = 3(There are 3 multicolored bushes)
r + y + p = 15 - m( total red bushes plus total yellow bushes plus total pink bushes equals 15 - the amount of multicolored bushes)
r = y = p (total red bushes equals total yellow bushes which also equals total pink bushes)
Since we know m =3 we can substitute m for 3 in the second equation:
r + y + p = 15 - 3.
r + y + p = 12
Now since r, y, and p are equal we can divide the total amount left (12) by the 3 kinds of roses left to get our answer:
12/ 3 = 4 red, 4 yellow, and 4 pink
Since we are solving for the amount of yellow the answer is:
4 yellow rosebushes
Answer:
no close but he is not he drinks 4.5 a year
Step-by-step explanation:
Soh Cah Toa
Sine of the angle = opposite side over the hypotenuse
sin(42°) = 6.5/h
rearrange, solve for h
h = 6.5/sin(42°)
h = 9.7 cm
For the other triangle, the angle is unknown. I'd split it into two right triangles; down angle x since it is an isosceles it will be bisected into two equivalent triangles.
The hypotenuse we just found is now split in half. 9.7/2 = 4.9 base of the new smaller right triangle.
The new hypotenuse of the smaller triangle is 7.4 cm
Then you have..
sin(x/2) = 4.9/7.4
sin(x/2) = 0.67
use inverse sine function
arcSin(0.67) = x/2
41 = x/2
82° = x
There are many ways to solve this problem. This is just what I thought of first using trig.
Answer:0,infinity
Step-by-step explanation:
9514 1404 393
Answer:
yes, SAS
Step-by-step explanation:
Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).
The ratios of short to long sides are ...
39/52 = (3·13)/(4·13) = 3/4
63/84 = (3·21)/(4·21) = 3/4
The sides are proportional and the angle between them is congruent, so ...
the triangles are similar by SAS.
