Answer:
He needs 16 ounces of raisins and 8 ounces of nuts
Step-by-step explanation:
Let
x -----> the number of ounces of raisins
y -----> the number of ounces of nuts
we know that
x+y=24 -----> equation A
x=2y -----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for y
(2y)+y=24
3y=24
y=8 ounces of nuts
Find the value of x
x=2(8)=16 ounces of raisins
therefore
He needs 16 ounces of raisins and 8 ounces of nuts
Answer:
a. (x+5)^2 = 49
b. (x+7)^2 = (x+1)^2
Step-by-step explanation:
So the term "a number" is always going to be x. input x into the sentences. "X plus five, then squared, is forty-nine". when they do "is __", that means equal to. In the second question, seven more than x is x + 7 (the two numbers are interchangeable here). Equivalent also means equal. hope this helped :)
He is 174 yards from the top.
Since we have a 60° angle and a right angle, this is a 30-60-90 triangle. In these triangles, we can label the sides as t, t√3 and 2t, with t being the side opposite the 30° angle (the smallest side); t√3 being the side opposite the 60° angle (the middle side); and 2t being the hypotenuse (the longest side).
Our 87 yard side is across from the 30° angle, so it is t.
The side we are looking for is the hypotenuse, which would be 2t; 2(87) = 174.
Answer:
44 degrees
Step-by-step explanation:
there's two ways u could do this. One is all triangles add up to 180 degrees. u simply ignore the outside angle of 136 degrees, and add 62 and 74, and u get 136. take 180-136, and u get 44.
Another way is all strait angles add up to 180 degrees. take 180-136, and u get 44 degrees
Hope this helps and have a nice day :) :) :)
