Answer:
33.75 or rounded to the nearest tenth: 33.8
Answer:
2 4/15 km
Step-by-step explanation:
We know from the above question that:
A hiker walks at a speed of 3 2/5 km per hour.
Step 1
Convert 40 minutes to hour
60 minutes = 1 hour
40 minutes = x
Cross Multiply
60x = 40
x = 40/60
x = 2/3hr
Step 2
How many km will the hiker walk in 40 min?
The above question can be calculated as:
1 hour = 3 2/5km
2/3 hour = x km
Cross Multiply
1 × x km = 2/3 × 3 2/5 km
x km = 2/3 × 17/5 km
x km = 34/15 km
x km = 2 4/15 km
Hence the hiker would walk 2 4/15 km in 4 minutes
When a point is reflected across the x-axis, it's y value is flipped. Here is a formula for your future reference:
X-axis reflection: (x,-y)
Using your given coordinates, you simply plug the numbers in, resulting in final coordinates of (5,3.5).
Because the problem asks for the distance between the two points, you now have to find the difference between -3.5 and 3.5, which is 7.
There you go; the distance between the points is 7 units.
Answer:
40
Step-by-step explanation:
The first step is to calculate the base area of the prism
= 15×30
= 450
The volume is then calculated as follows
= 450×h
= 450h
The capacity is 18 liters
= 18×1000
= 18,000
Therefore the height of the rectangular prism can be calculated as follows
450h= 18,000
h= 18,000/450
= 40
Hence the height is 40 cm
Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
