Answer: 7
Step-by-step explanation:
You are given that Bill bought 38 1/2 feet of wire. Convert the mixed fraction into improper fraction.
The length L1 = 77/2
You are given that he cut the wire into several pieces, each one measuring 5 1/2 feet. Convert it too to improper fraction.
The length L2 = 11/2
To know how many number of pieces of wire he have after making the cuts, divide length L1 by length L2. That is,
L1/L2 = 77/2 ÷ 11/2
Change the division to multiplication by reciprocating 11/2 to 2/11
77/2 × 2/11 = 77/11 = 7
Therefore, he had 7 pieces of wires after making the cuts.
Answer:
A triangle has 3 sides: a, b, c satisfying inequalities below:
=> a + b > c > |a - b|
=> b + c > a > |b - c|
=> c + a > b > |c - a|
9, 15, 17 satisfy the inequalities above (you can check it easily).
Hope this helps!
:)
Answer:
The tree is 20.6 ft tall.
Step-by-step explanation:
Please check the attached graph.
From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.
The diagram makes a right-angled triangle.
- Given the angle = Ф = 38⁰
- Hypotenuse = Tree length = c ?
Pythagorean Theorem:
For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

substituting a=5, b=20


ft
Thus, the tree is 20.6 ft tall.
Answer:
Coordinates of point P is
.
Step-by-step explanation:
Given that mid point of line segment
is at <em>M(-9, 8.5).</em>
Q is at <em>(-4, 14)</em>.
Let coordinate of P be
.
Using the ratio, we can say the following:
<em>The coordinates of mid point</em>
of a line with endpoints
and
is given as:


Using the formula for above given dimensions:


So, the <em>coordinates of point P are</em>
.
Answer: x>-1
Step-by-step explanation:
Dotted line on the axis is covering y infinitely, so theres an inequality on x, and the line is at -1, so x should be > - 1