Answer:
(5) The perpendicular height of the triangle is 8.48 mm.
(6) The 1184.86 cm far up the wall the ladder reach.
Step-by-step explanation:
Part (5):
When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.
The figures is shown below.
In ΔABC,
CB = 6 mm
So,
CD = BD = 3 mm
Now calculating the perpendicular height of the triangle.
Using Pythagoras theorem in ΔADC:
Thus, the perpendicular height of the triangle is 8.48 mm.
Part (6):
The figure is shown below.
Converting meter to centimeter:
1 m = 100 cm
So,
12 m = 1200 cm
Using Pythagoras theorem in ΔXYZ:
Thus, 1184.86 cm far up the wall the ladder reach.
For this case we have the following function:
Where,
g: number of gallons of gas
M (g): number of miles that Danny's truck travels
We know that the maximum capacity is 20 gallons of gas.
Therefore, the maximum distance the truck can travel is given by:
Thus, the domain of the function is:
The range of the function is:
Answer:
A domain and range that are reasonable for the function are:
D. D: 0 ≤ g ≤ 20
R: 0 ≤ M (g) ≤ 340
The amount of balloons in the tent is 125.075 feet cube. From the given options, approximately, option D is correct
<u>Solution:</u>
Given, Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height is 6.3 feet.
Rob filled the tent with balloons,
We have to find which measurement BEST describes the amount of balloons in the tent?
As tent if filled with balloons the amount of balloons equals with volume of tent.
<em><u>Volume of tent is given as:</u></em>
where "a" is side length and "h" is height.
Hence, from the given options, approximately, option D is correct.
Answer:
40 percent increase
Step-by-step explanation:
Starting point - 95
End point - 133
133-95 = 38
38/95 = 0.4
0.4*100=
40
