Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
<em>when rounded to 1 d.p.</em>
c = 8.7
Line AB is 8.7 cm long.
50X0.26=13 than you would add them 50+13 which would equal 63
A is FALSE
B is FALSE
C is FALSE
D is TRUE
Answer:
6 gallons
Step-by-step explanation:
You can find this using the ration method.
If, 8 gallons : 192 miles
x gallons : 144 miles
We must find the value of x, which is the number of gallons used to travel 144 miles.
Cross multiply the ratios.
192 x = 8 × 144
192 x = 1152
x = 1152 ÷ 192
x = 6
∴ It takes 6 gallons to travel 144 miles.
Answer:
3.33%
Step-by-step explanation:
Given that :
Final amount A= 320
Principal P = 300
Time (t) = 2 years
Yes, the information is enough to obtain the interest rate :
Using the relation :
A = P(1 + rt)
r = interest rate
320 = 300(1 + r*2)
320 = 300(1 + 2r)
320/300 = 1 + 2r
1.0666666 = 1 + 2r
1.0666666 - 1 = 2r
0.0666666 = 2r
r = 0.0666666 / 2
r = 0.0333333
(0.0333333) * 100% = 3.33%