Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
Answer: 3.66 pints of blue paint.
Step-by-step explanation:
She used 2/5 of the total number of pints to paint white.
That number in pints is:
= 2/5 * 6.1
= 2.44 pints of white
The number of pints used to paint blue is therefore:
= 6.1 - 2.44
= 3.66 pints of blue paint.
Answer:
4095
Step-by-step explanation:
This can be evaluated by substituting n = 1 to n = 6 into the expression and summing the terms, that is
3( )
= 3( + + 4² + 4³ + + )
= 3(1 + 4 + 16 + 64 + 256 + 1024)
= 3(1365)
= 3 × 1365
= 4095
Answer:
measure of angle R is 75.897° or 75.90°.
Step-by-step explanation:
To solve use the formula Sin A/ a= Sin B/ b. our angle A is 52°, opposite it is side a so 26. Let angle R be our B so opposite it is b which measure 32.
sin 52°/26 = Sin B/32, cross multiply
32 (sin 52°) = 26 Sin B, multiply both side by 1/26
32 (sin 52°)/26 = Sin B
32 (0.78880107536...)/26 = Sin B
0.969593891... = Sin B
Sin^-1 (0.969593891..) = B
B = 75.89703075 or Angle R is 75.90°