Answer:
42 miles.
Step-by-step explanation:
It is given that Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions.
Speed of Mr. Rivers = 48 mph
Speed of Mrs. Rivers = 36 mph
We need to find the distance between them at 10:30 a.m.
10:30 - 10:00 = 0:30 = 30 minutes = 1/2 = 0.5 hour
Distance covered by Mr. Rivers in half hour = 48 × 0.5 = 24
Distance covered by Mrs. Rivers in half hour = 36 × 0.5 = 18
Total distance covered by both in half hour = 24 + 18 = 42
Therefore, they are 42 miles far from each other at 10:30 a.m.
1.44/ 12 equals .12 . Think of it as a regular division problem first, then deal with the decimal.
Answer:
3, -6, 0, -9, 6
Step-by-step explanation:
Select the numbers below that are part of the domain of the function. (3, 0); (-6, -5); (0,-3) ; (-9, 7) ; (6, 4
The domains are independent variables in Mathematical equations. They are the variables that determine the range of any Mathematical equations.
From the series of numbers given above, the domains are:
3, -6, 0, -9, 6
Answer:
- small prism: 630 m²
- large prism: 2520 m²
Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
- small prism: 630 m²
- large prism: 2520 m²
Answer:
Perimeters = 3 in : 7 in
Areas = 9 in² : 49 in²
Step-by-step explanation:
<em>If the figures are </em><em>squares</em><em>, and the measurements are the length of that sides (as you have said), then we will do the following. </em>
[The left square]
P = 4a
P = 4(15)
P = 60 in
-
A = a²
A = 15²
A = 225 in²
[The right square]
P = 4a
P = 4(35)
P = 140 in
-
A = a²
A = (35)²
A = 1,225 in²
[Simplifying ratios]
Perimeters = 60 in : 140 in
Perimeters = 6 in : 14 in
Perimeters = 3 in : 7 in
-
Areas = 225 in² : 1,225 in²
Areas = 45 in² : 245 in²
Areas = 9 in² : 49 in²
