Answer:
x = 15°
y = 59°
Step-by-step explanation:
Angles at a right angle add up to 90°
41 + y = 90
y = 90 - 41
y = 59°
Angles in a triangle add up to 180°
41 + (2x - 9) + 7x + 13 = 180
41 + 13 - 9 + 2x + 7x = 180
45 + 9x = 180
9x = 180 - 45
9x = 135
x = 135/9
x = 15°
This question is incomplete, the complete question is;
For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) + (y/10) + (z/6) = 1 equal to 10?
Answer: the value of a is 1
Step-by-step explanation:
Given that;
Volume of tetrahedron bounded by plane (x/a) + (y/10) + (z/6) = 1
and coordinate plane is; V = 1/6|abc|
(x/a) + (y/10) + (z/6) = 1
volume = 10
so
10 = 1/6 | a × 10 × 6 |
60 = a × 10 × 6
60 = 60a
a = 60 / 60
a = 1
Therefore the value of a is 1
Answer:
copied from InesWalston expert
Money in the bank account after 3 years will be $329.18
Step-by-step explanation:
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year for 3 year, while no money was deposited into or withdrawn from the account.
We know that,
i = p.r.t / 100
Where,
i = interest
P = Principal = $315
r = Rate of interest = 1.5% annual
t = time period = 3 years
Putting the values,
i = 315 × 1.5 × 3 / 100 = $14.18
Total money in bank account = Principal + interest = 315 + 14.18 = $329.18
Answer:
B is the correct answer
Step-by-step explanation:
250 cm2
Move the dot twice to the right