Answer
There are 170 ways the student can answer the test.
Explanation
If there are 20 multiple-choice questions with 5 choices each, the student has 100 choices. The first question has 5 choices to pick from. The second has 5 as well. So does the third. Hopefully now you realize that you have to multiply the number of choices by the number of questions.
The same thing goes with the true/false questions. There are 2 choices for each true/false question, and there are 35 of those. 35×2 is 70. There are 70 ways to answer on the true/false questions.
Now combine the number of choices on the first part and the second part; 100+70 is 170.
Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
The answer is 100,00 km per year
Step-by-step explanation:
7. ∆ABC = ∆ILH by SSS
as, AB = IL , BC = LH , CA = HI
8. ∆DEF = ∆AMS by ASA
as , angle D = angle A, EF = MS , angle F = Angle S
9. ∆JKL = ∆HAT by SAS
as, JK = HA , KL = AT , angle L = angle T
10. ∆ABC = ∆KPG by ASA
as , CA = GK, Angle c = angle G and Angle B = angle P
11. ∆ABC = ∆YDE by ASA
as , angle A = angle Y, AB = YD , angle B = angle D
12. ∆MNO = ∆SAK by ASA
as , Angle M = angle S, NO = AK, angle O = angle K
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