Answer:
$954
Step-by-step explanation:
6% = 0.06
Adding 1 to the interest makes it so it’s added to the original amount.
$900 x 1.06 = $954
9514 1404 393
Answer:
- 2nd force: 99.91 lb
- resultant: 213.97 lb
Step-by-step explanation:
In the parallelogram shown, angle B is the supplement of angle DAB:
∠B = 180° -77°37' = 102°23'
Angle ACB is the difference of angles 77°37' and 27°8', so is 50°29'.
Now, we know the angles and one side of triangle ABC. We can use the law of sines to solve for the other two sides.
BC/sin(A) = AB/sin(C)
AD = BC = AB·sin(A)/sin(C) = (169 lb)sin(27°8')/sin(50°29') ≈ 99.91 lb
AC = AB·sin(B)/sin(C) = (169 lb)sin(102°23')/sin(50°29') ≈ 213.97 lb
Answer:The solution is in the attached file
Step-by-step explanation:
Let the ratio be termed as 4x and 2x.
Now,
4x + 2x= 90
or,6x=90
or,x=90/6
or,x=15
So the measure of angles are,4x= 4×15
= .........
and,2x=2×15 =.....
Answer:
see explanation
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
Thus ∠D = ∠A and substituting values
2x = x + 31 ( subtract x from both sides )
x = 31
Hence
∠A = x + 31 = 31 + 31 = 62
∠D = 2x = 2 × 31 = 62
