Answer:
C
Step-by-step explanation:
When 3 is squared, it becomes 9. That means that both A and B are incorrect.
The powers on u and v are doubled not added to become u^6 and v^8 so that makes C the only possible answer.
Answer:
(i) Yes
(ii) Yes
Step-by-step explanation:
We are given that
AB=AC
(i)D is the mid-point of BC
BD=DC
In triangle ADB and triangle ADC
AD=AD
Reason: Reflexive property
BD=DC
Reason:Given
AB=AC
Reason: Given
ADB
ADC
Reason:SSS postulate
Yes, triangle ADB is congruent to triangle ADC
(ii) Angle B=Angle C
Reason: CPCT
Yes , angle B=angle C
Solution:
<u>Note that:</u>
- Area of triangle = 6 3/8 yd²
- Height of triangle = 2 1/2
- Area of triangle = 1/2 x base x altitude
<u>Use the formula to find the base of the triangle.</u>
- 1/2 x base x altitude = 6 3/8 yd²
- => 1/2 x base x 2 1/2 = 6 3/8 yd²
- => 1/2 x base x 5/2 = 6 3/8 yd²
- => 5/4 x base = 6 3/8 yd²
- => base = 6 3/8 ÷ 5/4 yd
- => base = 51/8 x 4/5 yd
- => base = 51/2 x 1/5 yd
- => base = 51/10 yd
The length of the base is 51/10 yards.
Answer:
5/6
Step-by-step explanation:
You write the question as such: 5/9 divided by 2/3.
After that, you keep the first fraction, flip the sign and the fraction.
You will get: 5/9 multiplied by 3/2.
When you get this, you then cross multiply and simplify as such.
5/3 multiplied by 1/2.
5/6 would be your solution.
Answer:
19.9 miles
Step-by-step explanation:
In this problem we have:
is the distance travelled during the 1st day
is the distance travelled during the 2nd day
is the distance travelled during the 3rd day
is the distance travelled during the 4th day
We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

Which can be rewritten using the general formula:

This means that

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

So, the distance travelled on the 7th day is 19.9 miles.