We can use completing the square.We add 16 and subtract 7 to both sides. Now we get m^2+8m+16=9. The left sides becomes (m+4)^2=9. Taking the square root of both sides and subtracting 4 we get -1 and -7.
Car 1
2 miles............................1 minute
10 miles.........................5 minutes
20 miles.........................10 minutes
40 miles..........................20 minutes
car2
1.5 miles...........................1 minute
15miles.............................10 minutes
30 miles...........................20 minutes
the difference is 0.5 miles per minute
0.5*60=30 miles/hour
Hi there!
So let's see, we have a die and need to know the probability of rolling a number less than or equal to 4. Let's list the numbers that are less than or equal to 4: 1, 2, 3, 4. Now, since we know that there are 6 numbers on a die and 4 of them are less than or equal to 4, we can set up a fraction to find the percentage. The fraction would be 4/6 because 4 out of the 6 numbers on the die are less than or equal to 6. We can simplify 4/6 to 2/3 as well. To find the percentage, all we need to do is divide the numerator by the denominator. This leaves us with approximately 66.66%.
Hope this helps!! :)
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Answer:
1. 200 in.^2
2.
Step-by-step explanation:
1. Area of a trapezium=1/2(a+b)height
a=14 in.
b=20 in.+6 in. = 26 in.
height= ?
height can be gotten by using
formula : Soh Cah Toa
Toa is tangent∆= opposite/ adjacent
∆ = 60°
opp=? adj=6 in.
Tan 60° =opp/6 in.
Tan 60° = 1.732
1.732= opp/ 6 in.
opp=1.732*6 in.
opp = 10.392 approximately= 10 in.
Area of trapezium= 1/2*(14+26)*10(in.^2)
Area of trapezium= 1/2*40*10
= 1/2*400
= 200 in.^2 .
2. Area of triangle= 1/2* base* height
for first triangle =
base=4m
height =15m
Area: 1/2*4*15 ,1/2*60= 30m^2
second triangle =
base:?
height: 15m
using Pythagorean theorem;
hyp^2 = opposite ^2 + adjacent ^2
17^2 = 15^2 + adj^2
289= 225 + adj^2
adj^2 = 289-225= 64
square root
adj = 8m
area of second triangle : 1/2*8*15
: 1/2*120 :60m^2
total area: 30 m^2 +60m^2
==90 m^2
Answer:
6,889
<em>Multiply </em>83 x 83.
<h3>
83 x 83 = 6,889.</h3>
Therefore, 83 squared is 6,889.
