Answer:
angle BAC = 50.5°
Step-by-step explanation:
To find the size of angle BAC, we will follow the steps below;
First, we will use Pythagoras theorem to find side AC
from the diagram, AB = 14 cm BC = 17 cm
Using Pythagoras theorem,
AC² = AB² + BC²
= 14² + 17²
=196 +289
=485
AC² = 485
Take the square root of both-side
AC = √485
AC = 22 .023
AC = 22.023 cm
angle <B = 90°
Using the sine rule,
=
A = ?
a=BC = 17 cm
B = 90°
b = AC = 22.023 cm
we can now [proceed to insert the values into the formula and then solve for A
=
=
cross - multiply
22.023× sinA = 17× sin90
Divide both-side of the equation by 22.023
sin A = 17 sin90 / 22.023
sin A = 0.771920
Take the sin⁻¹ of both-side of the equation
sin⁻¹sin A = sin⁻¹0.771920
A = sin⁻¹0.771920
A≈ 50.5°
Therefore, angle BAC = 50.5°
Answer:
C) a = 10√3, b = 5√3, c = 15 , d = 5
Step-by-step explanation:
Here we use the ratio of 30, 60, 90 degree triangle.
The ratio of sides, 1:√3:2
2x = 10
x = 5
d = 5
b = 5√3
c = 5√3√3
c = 5*3 = 15
c = 15
a = 2(5√3)
a = 10√3
Therefore, a = 10√3, b = 5√3, c = 15 and d = 5
Thank you.
Answer:
3 1/3 or 3.3(repeated)
Step-by-step explanation:
2/3 ÷ 1/5
= 2/3 × 5
= 10/3
= 3 1/3 or 3.3(repeated)
I hope this helped!
31a6b5 i think if just add them but to put it in an expression you would need to perethisis the A together with the b together and the numbers together
The greatest common factor of
and
is
gcd(m*m*n*n, m*n*n*n) =m*n*n=
what we did, was to see how many m's and how many n's, each expression have, and then pick the smallest of each letter (factor).
the reason is that the common factor, must have enough m's and n's to divide the m's and n's of both expressions
so
also
thus, n is equal to 3
Answer: A)3