1.) It is D) $106.20
46020 / 52 (because she's paid weekly) = 885
7% + 5% = 12%
885 x .12 = 106.2
2.) It is D) $106.20
46020 / 52 (because she's paid weekly) = 885
7% + 5% = 12%
885 x .12 = 106.2
3.) He will pay $500 + $2000, or $2500.
First one:
The circumference of the whole circle is (2π x the radius),
and 60° is (60/360) = 1/6 of the whole circumference.
Second one:
The area of the whole circle is (π x the radius²), and
the 40° sector is (40/360) = 1/9 of the whole area.
I hope this is enough help.
Answer:
1120 grams
Step-by-step explanation:
The amount of sea water is directly proportional to the amount of salt in the water.
Let the amount of sea water be W and the amount of salt be S.
This means that:
W α S
=> W = kS
where k = constant of proportionality
2 liters of sea water contain 70 grams of salt Therefore:
2 = k * 70
k = 2 / 70 = 1/35
Therefore, for 32 liters of sea water:
32 = 1/35 * S
S = 35 * 32
S = 1120 grams
There are 1120 grams of salt in 32 liters of water.
Answer:
1) 13.3 cm
2) 48.3 cm
Step-by-step explanation:
1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.
Let OB = x, OC = OB + BC = x + 8
Therefore:
The height of triangle ODC = OC = x + 8 = 5.3 + 8 = 13.3 cm
2) Using Pythagoras theorem:
OD² = OC² + DC²
OD² = 13.3² + 15²
OD² = 401.89
OD = √401.89 = 20 cm
2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm
