Answer:
90 pages
Step-by-step explanation:
30% complete
70% to go = 63 pages
t = total number of pages
0.7t = 63
∴ t = ⁶³/₀.₇
⁶³/₀.₇ = 90
The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.
Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
Answer:
4
Step-by-step explanation:
an aquarium is in the shape of a cuboid
the depth can be determined from the volume of a cuboid
volume = length x depth x height
11.96 = 2.5 x 1.1 x depth
depth = 11.96 / (2.5 x 1.1 )
depth = 4.3 feet = 4 (to the nearest whole number)
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
