Answer:
Short leg = √3 cm
Step-by-step explanation:
the opposite angle of long leg is 60°
hypotenuse : x
sin 60° = 3/x = √3 / 2
x = (3 x 2) / √3 = 2√3
short leg length (s)
Cos 60° = 1/2 = s / x = s / 2√3
s = √3
Answer:
68.2 miles per hour
Step-by-step explanation:
Speed limit = 110 kilometers per hour
1 kilometer = 0.62 miles
110 kilometers = x miles
Cross product
1*x = 0.62*110
x = 68.2 miles
Cesar should drive at 68.2 miles per hour to avoid a speeding ticket
110 kilometers per hour = 68.2 miles per hour
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.
And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
By substitution:
Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:
Zero Product Property:
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.
Hence, our answer is A.
Answer:
Angle A is 29 degress Angle B is 61 Angle C is 90
Side AB is 5.8 Side BC is 2.8 and Side AC is 5.1
Step-by-step explanation:
Angle A is found using triangle interior theorem.
I found side AC by using law of sines
b/sin b= c/sin c
x/sin 61= 5.8/sin 90( which equal 1)
x=5.1
I found side BC by using pythagoren theorem.
a^2 + b^2=c^2
5.1^2+ b^2=5.8^2
26.01+b^2=36.64
b^2=7.63
b=approx 2.8.
So you basically add the amount it grew each week. So week one is 2 and 1/2, week two is 2 and 3/4 and week three is 3 and 1/4. to make things simpler, add week two and three which gets you 6inches, then add week one, to get 8 and a half inches.
