Answer:
Height of the tree is 40.0 meters.
Step-by-step explanation:
From ΔABC,
m∠ABC = 90°
Since, m∠ABC = m∠CBD + m∠ABD
90° = 6° + m∠ABD
m∠ABD = 90°- 6° = 84°
By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
84° + 29° + m∠BDA = 180°
m∠BDA = 180° - 113°
= 67°
By sine rule in ΔABD,
h =
h = 39.98
h ≈ 40.0 meters
Therefore, height of the tree is 40.0 meters.
Answer:
13w+5
Step-by-step explanation:
(9w+2)+(4w+3)
Combine 9w and 4w to get 13w.
13w+2+3
Add 2 and 3 to get 5.
13w+5
A quadrilateral is any figure with 4 sides, no matter what the lengths of
the sides or the sizes of the angles are ... just as long as it has four straight
sides that meet and close it up.
Once you start imposing some special requirements on the lengths of
the sides, or their relationship to each other, or the size of the angles,
you start making special kinds of quadrilaterals, that have special names.
The simplest requirement of all is that there must be one pair of sides that
are parallel to each other. That makes a quadrilateral called a 'trapezoid'.
That's why a quadrilateral is not always a trapezoid.
Here are some other, more strict requirements, that make other special
quadrilaterals:
-- Two pairs of parallel sides . . . . 'parallelogram'
-- Two pairs of parallel sides
AND all angles the same size . . . . 'rectangle'
(also a special kind of parallelogram)
-- Two pairs of parallel sides
AND all sides the same length . . . 'rhombus'
(also a special kind of parallelogram)
-- Two pairs of parallel sides
AND all sides the same length
AND all angles the same size . . . . 'square'.
(also a special kind of parallelogram, rectangle, and rhombus)
Answer:
10
Step-by-step explanation:
9+1=10 good thanks for asking
Answer:
<h2>224 cubic inches</h2>
Step-by-step explanation:
It's a prism.
The formula of a volume of a prism:
<em>B</em><em> - area of a base</em>
<em>H</em><em> - height</em>
We have a triangle in the base.
The formula of an area of a triangle:
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
We have <em>b = 4in, h = 7in</em>.
Substitute:
Put the value of a base <em>B = 14 in²</em> and the height <em>H = 16 in</em> to the formula of a volume: