First the cost of $98 /yd³ by the conversion factor that
1 yd³ = 27 ft³.
($98 /yd³) (1 yd³ / 27 ft³) = $ 3 17/27/ft³
Let x be the width, the volume of the rectangular portion of the driveway is,
V = (8 ft) (1/3 ft) x = 8x/3 ft³
Using the given total cost of the protion,
C = $58.07 = (8x/3 ft³)(<span>$ 3 17/27/ft³)
x = 5.99957 ft
the answer is 6 feet. (rounded)</span>
Answer:
x = 44⁰
y = 46
z = 90⁰
m = 36⁰
n = 40⁰
Step-by-step explanation:
a) Opposite angles of a parallelogram are always equal, so x = 44. The 4 angles will add up to 180⁰, so when you add the two 44⁰ angles together and subtract from 180⁰, you get 92⁰. divide that by 2 and you get 46⁰, so y = 46⁰.
b) since the two sides are parallel, if the other side is perpendicular to one, causing the 90⁰ angle, it is also perpendicular to the other, so z = 90⁰.
c) Opposite angles over a common side are equal, so m = 36⁰.
d) You know the missing angle in the small on the right is 40⁰ because the three angles will add up to 180⁰ and the two known angles add to 140⁰. Then you can use the same reason above to figure that the angle next to 65⁰ is 40⁰. The hashes on the sides of the bigger triangle on the left show it is an isoceles triangle in which the two base angles are always equal, so since you know the one is 40⁰, you know that n = 40⁰ also.
Okay so to do the sqrt(75) you see if there are hidden squares. Split it to be the sqrt(25) and sqrt(3) then simplify. In the end, you get 5sqrt(3). Hope this helps!
9(3j-6) = 27j - 54
<span>Note: a(b-c) = ab - ac</span>
