Step-by-step explanation:
Area = ½ × b × h
= ½ × (7.9 + 10.8) × 6.2
= ½ × 18.7 × 6.2
= ½ × 115.94
= <u>5</u><u>7</u><u>.</u><u>9</u><u>7</u><u> </u><u>cm²</u>
So, the area of that trapezium is 57.97 cm²
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25
If this is supposed to be
Then this can simply be reduced to
by the double angle formula for cosine
Answer:
Part A
12 months a year means
%74.5 x 12 = $894
Part B
4 weeks in a month means
$74.5 ÷ 4 = $18.625
But rounded to the nearest penny. . .
$18.62
because in the thousandths place was a 5 and you round up when there is a 5 or above
Part C
We will go with 31 days in a month, but I will also do 30 for you
$74.5 ÷ 30 = $2.48333
But rounded to the nearest penny. . .
$2.48
because you round down when there is anything less than a 4
$74.5 ÷ 31 = $2.40322580645
But rounded to the nearest penny. . .
$2.40
because you round down when there is anything less than a 4
Answer:
∠ D = 28°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBC is an exterior angle of Δ ABE, thus
∠ EBC = 90° + 34° = 124°
BD bisects ∠ EBC, so
∠ EBD = 124° ÷ 2 = 62° , then
∠ D = 180° - (90 + 62)° = 180° - 152° = 28° ( angle sum of triangle )
