Step-by-step explanation:
1. divide 78% by 100 = 0.78
2. multiply 0.78 and 3.822
3. solve and get 2.98116
4. if you want you could round
5. x = 2.98166 or 3
C. 1.07p
1.00 is for 100% of the cost and the .07 is for the tax.
C. 155
Explain:
40 + 35 + 25 + 20 + 35 = 155
Answer:
14m/
Step-by-step explanation:
F = ma
Mass1: F1 = (7kg)*(8m/)
Mass2: F2 = (4kg)*a
The same force, so F1 = F2
(7kg)*(8m/) = (4kg)*a
a = (7kg)*(8m/)/(4kg)
a = (7/4)*(8m/)
a = 14m/
Answer:
5a. ΔGKM ~ ΔSPM by SAS
b. ΔABC is not similar to ΔDEF
6. The missing side is 2
Step-by-step explanation:
5a. Yes, the triangles are similar.
<KMG ≅ <PMS (vertically opposite angles)
ΔGKM ~ ΔSPM by SAS
Ratio: GM:SM OR KM:PM
3:6 OR 2:4
1:2 OR 1:2
Ratio: 1:2
b. No, the triangles are not similar
ΔABC is not similar to ΔDEF
Ratio: AC:DF OR AB:DE
4:6 OR 2:4.5
1:1.5 ≠ 1:2.25
Ratio: not similar
6. let the missing side of the triangle be represented by x. Since the triangle is a right angled triangle, then applying the Pythagoras theorem we have;
= +
= +
144 = + 100
= 144 - 100
= 44
x =
=
= 2
x = 2
The missing side is 2.