8.5 is opp of the angle and 14.5 is the hypotenuse.
Sin(X) = opp/hyp
or you can use Sin-1(opp/hyp) = X
Sin-1(8.5/14.5)=X
X= 35.8 or 36 rounded
Put everything on the same side of the equals sign and set it equal to zero so you can factor it.
. In order to factor that you have no choice really but to put it into the quadratic formula. When you do that you find that your zeros are x = 9.623475383 and -.623475383
The number of 11-inch softball is 70 and the number of 12-inch softball is 50.
<u>Step-by-step explanation</u>:
<u>Given that,</u>
- The cost of 11-inch softball = $2.50
- The cost of 12-inch softball = $3.50
<u>Let us assume,</u>
- The number of 11-inch softball be 'x'.
- The number of 12-inch softball be 'y'.
<u>Forming the equation to solve x and y values :</u>
- The total number of softball ordered = 120
- The total cost for 120 softballs = $350
x + y = 120 -------(1)
2.5x + 3.5y = 350 --------(2)
<u>Multiply eq(1) by 2.5 and subtract eq(2) from eq(1)</u>,
2.5x +2.5y = 300
-<u>(2.5x +3.5y = 350)</u>
<u> -1y = -50</u>
Therefore the value of y = 50.
The number of 12-inch softball is 50.
<u>Substitute y=50 in eq(1),</u>
x+50 = 120
x = 120-50
x = 70
The number of 11-inch softball is 70.
Answer:
I think the answer is B. The equation has infinitely many solutions.
Step-by-step explanation:
4(3x + 4) = 15x + 12 - 3x + 4
*group like terms so 4(3x+4) = 15x - 3x + 12 + 4
*add similar elements 15x - 3x = 12x
*add the numbers 12 + 4 = 16
*Expand to 12x + 16 - 16 = 12x + 16 - 16
*You simplify 12x = 12x
*Subtract 12x from both sides
*Then Simplify which is 0
Which means Both sides are equal to 0
True for all X
Answer:
x-intercept (-3,0); y-intercept (0,12)
Step-by-step explanation:
To find the x-intercept --> y should equal 0
8x-2(0)=-24 substitute
8x=-24 divide
x=-3 (-3,0)
To find they-intercept --> x should equal 0
8(0)-2y=-24 substitute
-2y=-24 divide
y=12 (0,12)
