The number of blocks will be the hypotenuse of this right angle:
I NORTH
I
I
I
I
- - - - - - - - - - EAST
8²+6²= 100 & North-East =√100 = 10 blocks
Answer:
x = 48
Step-by-step explanation:
log〖 (2x+4)〗=2
Raise each side to the base of 10
10 ^log〖 (2x+4)〗=10^2
The 10 ^log cancels
2x+4 = 100
Subtract 4 from each side
2x+4-4 = 100-4
2x = 96
Divide by 2
2x/2 = 96/2
x =48
Step-by-step explanation:
<u>Let's turn each mixed fraction into an improper fraction:</u>
<u>Multiply:</u>
<u>Simplify:</u>
8 is your simplified product.
9514 1404 393
Answer:
78.71 mph
Step-by-step explanation:
You're looking for the solution to ...
d = 88
0.0015r^2 +r = 88
0.0015r^2 +r -88 = 0
Using the quadratic formula*, we find ...
r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)
r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077
The speed of the car was about 78.71 mph.
_____
* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.
Answer:
A. 1.5 cm by 2.5 cm
B. 27 cm by 45 cm
C. 9 cm by 15 cm
D. 30 cm by 50 cm
Step-by-step explanation:
The dimensions of the original painting = 12 cm by 20 cm painting
Hence, the proportion is:
12/20 = 0.6
Hence, we compare the options given in the question.
A. 1.5 cm by 2.5 cm
= 1.5/2.5 = 0.6 , option A is correct
B. 27 cm by 45 cm
27cm/45 cm = 0.6 Option B is correct
C. 9 cm by 15 cm
9cm/15cm = 0.6 , Option C is correct
D. 30 cm by 50 cm
30 cm /50 cm = 0.6 Option D is correct
E. 6 cm by 14 cm
6cm/14 cm = 0.4285714286
Option E is not correct
Therefore, Options A to D are the correct options
