Answer:
Kindly check explanation
Step-by-step explanation:
Given the model:
s = 10│x - 4│+ 50
s represents the sound level in decibels and x represents the number of measures of music played
To find x at s = 80
The equation becomes /
80 = 10│x - 4│+ 50
Subtract 50 from both sides of the equation
80 - 50 = 10 |x - 4| + 50 - 50
30 = 10 | x - 4 |
Divide both sides by 10
30/10 = 10|x - 4| / 10
3 = |x - 4|
|x - 4| is an absolute value expression
±3 = |x - 4|
x = 3 + 4 = 7
x = - 3 + 4 = 1
Answer:
448in^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(32+24)/2*16=28*16=448 in^2
Answer:
7
Step-by-step explanation:
The ratio of the similar triangles is
14 49
---- = ------
2 x
Using cross products
14x = 2*49
14x = 98
Divide by 14
14x/14 = 98/7
x =7
Answer:
Since we have the information for Angles 1 and 3, and they are vertical, we can set them equal to each other. Once we have done this we can find the measures of them combined, and subtract it from 360 in order to only have the measure of 2 and its vertical angle. Finally, all we need to do now is divide the remaining measure by 2, and this will give us the measure of angle 2.
Angle 1=Angle 3
4x+30=2x+48
2x+30=48
2x=18
x=9
Angle 1=4(9)+30
Angle 1=36+30
Angle 1=66
Angle 1=Angle 3
Angle 1+ Angle 3=132
360-132=228
228/2=114
Angle 2= 114
The first expression can be simplified by combining like terms.
First, the terms "4b" and "-3b" can be combined to form "b"
Then, the terms "-7" and "9" can be combined to form "2"
Finally, we simply put these two final terms together, to form "b+2"
Hence, 4b-7-3b+9 is equal to be + 2.
Hope this helps!
