Answer:
The distance of the park from the Gary's house is 125 miles.
Step-by-step explanation:
Speed of Gary = 50 miles/hour
Time taken by Gary to reach the park from his house = 2.5 hours
Now, we know that,
Distance travelled = speed × time
So, distance between park and Gary's house = speed × time
= 50 × 2.5
= 125 miles
So, the park is 125 miles away from the Gary's house.
Answer:
line 1: y= 1x+ 2
line 2: y= -1x-0.5
(usually 1 is omitted but I added for clarity)
Step-by-step explanation:
slope (x)= yfinal-yintial/xfinal-xinitial
b= where line intersects y axis
line 1: (-1,0), (0.5,1.5)
(1.5-0)/(0.5-(-1))
(1.5)/(1.5)
slope= 1x
y=x+ 2
line 2: (-0.5,0), (0.5,-1)
(-1-0)/(0.5-(-0.5))
(-1)/(1)
slope= -1x
y=-x-0.5
Divide -276 by -23 to get 12. If you times -23 by 12 it’ll equal to -276
Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base =
=
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base =
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead =
=
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.