9514 1404 393
Answer:
342 mm²
Step-by-step explanation:
The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...
A = 1/2bh
A = (1/2)(9 mm)(76 mm) = 342 mm²
The triangle shown has an area of 342 mm².
_____
<em>Additional comment</em>
The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)
Answer:
1/8, 0.0625
, or 6.25%
Step-by-step explanation:
50% of the cars are painted white.
1/2 * 1/2 = 1/4 * 1/4 = 1/8
Probability of A occuring 4 time(s) = 0.54 = 0.0625
Probability of A NOT occuring = (1 - 0.5)4 = 0.0625
Probability of A occuring = 1 - (1 - 0.5)4 = 0.9375
Answer:
y=2x+1
Step-by-step explanation:
Since we are given a point and a slope, we can use the point slope formula
m is the slope. In this case, m is 2.
y1 is the y coordinate of the point given. y1 is 3.
x1 is the x coordinate of the point given. x1 is 1
y-3=2(x-1)
Now, we need to get the equation into point slope form: y=mx+b
To do this, we need to get y by itself
First, distribute the 2 on the right
y-3=2*x+ 2*-1
y-3=2x-2
Add 3 to both sides
y-3+3=2x-2+3
y=2x+1
The equation is in y=mx+b form, so our final equation is:
y=2x+1
Answer:
a) 9*π or approx 28.26
b) ∡CRB=100°
Step-by-step explanation:
As known for secants crossing each other inside the circle is coorect the following:
BR*RD=AR*RC
=> 3*RD=4*4.5
RD=6
The diameter of the circle with center P is BD=BR+RD=3+6=9
So the radius of the circle is D/2=9/2=4.5
As known the circumference of any circle can be calculated as
C=2*π*r , where r is the circle's radius
So C=2*4.5*π=9*π= approx 3.14*9=28.26
b) ∡CRB=∡ARD= (arcBC+arcAD), where arcBC and arcAD smaller arcs
BD is the circle's diameter, so arc BD=180°
So arcBC=180°-arcCOD=180°-100°=80°
Similarly arcBD=180°
arcAD=180°-arcBSA=180°-60°=120°
∡CRB= (80°+120°)/2=100°
