The table shown shows the heights of voices.
To get the tallest height you calculate the mean of each voice.
Mean height of soprano;
(60+62+62+64+65+65+66+66+67+68)/10 = 645/10 =64.5
Mean height of alto;
(60+61+62+63+64+65+66+69+70+72)/10 =592/10 =59.2
Mean height of tenor;
(64+66+66+67+68+70+72+73+74+76)/10 = 550/10 =55
mean height of Bass;
(66+68+68+69+70+70+71+72+73+75)/10 = 702/10 =70.2
The two voice parts that have the tallest singers are Soprano and Bass.
These is because the two voices have the highest average height.
In the triangle with legs 7 and 9 cm, you can find the length of the hypotenuse by using the Pythagorean theorem. If the hypotenuse is , then
The other right triangle with leg 6 cm and containing the angle satisfies
6 equals 6*10^0 which os 6*1=6
Answer:
Step-by-step explanation:
the answer is 1/4
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in