Answer:
✔️Ratio of weight to mass in simplest form: 49/5 or 49 : 5
✔️x = 110
Step-by-step explanation:
Since the ratio of weight to mass is constant, therefore we can use any pair of values from the table to find the ratio that represents the table. Let's pick the first row:
(20, 196)
Ratio of weight to mass = 196 : 20
= 196/20
= 49/5
Or 49 : 5
✔️Let's use this ratio/proportion to find x in the table
Ratio of weight to mass = 49:5
Thus:
1078/x = 49/5
Cross multiply
x*49 = 1078*5
49x = 5,390
x = 5,390/49
x = 110
Answer:
24
Step-by-step explanation:
Area of the kitchen = Area small rectangle + area large rectangle + area triangle
Area small rectangle = (8-4)*1.5
Area large rectangle = (8-4)* 3
Area triangle = (1/2)*base*height = (1/2)*4*3
Area of the kitchen = (8-4)*1.5 + (8-4)* 3 + (1/2)*4*3 = 24 cm²
F = 18 ft.
The law of cosines states
c² = a² + b² - 2ab cos C
Using our information, we have
c² = 23² + 16² - 2(23)(16)cos 52
c² = 529 + 256 - 736cos 52
c² = 785 - 736cos 52
c² = 331.8732
Taking the square root of both sides, we have
c = √331.8732 = 18.22 ≈ 18
Answer:
The number you would add to both sides of the equation to use the "Completing the Square" method would be 16.
Step-by-step explanation:
To find the number to add to both sides of an equation to complete the square, divide the first-degree term's coefficient by 2 and square your remainder. In this case, the coefficient of the first-degree term is -8. After dividing by 2 and squaring it, you'll get 16, so that is the number you must add to both sides of the equation in order to complete the square.
Answer:
x=-4
Step-by-step explanation:
Dividing both sides by -3, you get x+2=-2. So x=-4.
