Answer:
Cos A = 24/25 & Tan A = 7/24
Step-by-step explanation:
See the attached figure.
Construct a right triangle and sign one angle as A
So, Sin A = opposite/hypotenuse = 7/25
∴hypotenuse = 25 and opposite = 7
∴ adjacent = √(25² - 7² ) = √576 = 24
∴ Cos A = adjacent/hypotenuse = 24/25
And
Tan A = opposite/adjacent = 7/24
Because the triangle is an equilateral triangle, you know that all of the angles are equal to 60°. That means that you can use trigonometry to find the height, which would be sin(60) × 20 = 17.32.
Again, because it is an equilateral triangle, all sides are equal as well, meaning that the base is also 20cm. To find the area of the triangle, we must do (20 × 17.32)/2 = 173.2cm^2, which is the area.
I hope this helps!
Answer:
1 in 30
Step-by-step explanation:
1 in 6 chance Mary picks the red marble in the first place. After this there is a 1 in 5 chance her sister picks the blue one. 5 multiplied by 6 is 30.
Answer:
x and y
Step-by-step explanation:
Remote interior angles are angles that don't share a vertex or corner of a triangle with the exterior angle.
slope intercept form
y -y1 = m(x-x1)
y-3 =1/4 (x-4)
distribute
y-3 =1/4 x-1
stand form of a line is Ax +by =c
so subtract 1/4 x from each side
y -3 -1/4 x =-1
add 3 to each side
y-1/4 x =2
-1/4 x +y =2
I would multiply by -4 on both sides to make the 1st term positive and get rid of the fraction
x -4y = -8
Find the slope of the line that crosses through the points (-3, -4) and (2, -3).
slope = (y2-y1)/(x2-x1)
m = (-3--4)/(2--3)
m = (-3+4)/(2+3)
m =(1/5)
m=1/5