Answer: 14
Step-by-step explanation:
Fraction that choose hip hop= 1/3
Fraction that choose rap = 1/5
Fraction that choose rock will be:
= 1 - (1/3 + 1/5)
= 1 - (5/15 + 3/15)
= 1 - 8/15
= 7/15
Number of students that choose rock will be:
= 7/15 × 30
= 7 × 2
= 14 students
We then multi
Step-by-step explanation:
According to the pythagrean equation, it should be
8² = 6² + BC²
64 = 36 + BC²
BC² = 28
BC = ✓28 = 5.29
Answer: 
Step-by-step explanation:
To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.
[replace y with x and x with y]
[subtract both sides by 7/2]
[multiply both sides by -2/3]
[distribute]
Now, we have our inverse function.
It depends on how many Popsicle sticks you are going to use.So, for example, say that you are using 5 Popsicle sticks for the model. What you do is 15.2 x 5, 15.2 being the height of the sticks and 5 for the number of sticks you are using. The answer will be 76 cm tall. 21 15.2 x 5 --------- 76.0
Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116
