Answer:
length = 5
width = 9
Step-by-step explanation:
V = lwh
let 'x' = length
let '4+x' = width
9 = height
405 = 9x(4+x)
405 = 36x + 9x²
this is a quadratic equation: 9x² + 36x - 405 = 0
factor out a 9 to get:
9(x² + 4x - 45) = 0
9(x-5)(x+9) = 0
one root is 5 and the other is -9
since distance cannot be negative we use 5 as the length and 9 is the width
Answer:
a = -8
Step-by-step explanation:
-48 = 6(a)
divide both sides by 6
-8 = a
Answer:
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:
<u>
(50)(36)=1800in</u>
2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:
<u>
(1800)(3in)/24in=158.82</u>
3. If you can to express it in yards:
<u>
158.82/36=4.41yd</u>
<h2><u>
Therefore, the answer is: 158.82 inches or 4.41 yards.</u></h2>
Step-by-step explanation:
1. a + 130 =.180 ---> a = 50°
b + 130 + 120 = 360 ---> b = 110°
c + 120 = 180 ---> c = 60°
2. p + 44 = 180 ---> p = 136°
q + 44 = 180 ---> q = 136°
r = 44° (definition of vertical angles)
t = 34° (definition of vertical angles)
3. x = 50° (definition of vertical angles)
y = 50° (definition of alternate external angles)
