Answer:
8 blue ties to 21 ties (8/21
Step-by-step explanation:
You take the amount of blue ties and the put them over the total amount of ties (Blue + Grey + Black + Red)
Volume of the prism = 75 cubic feet
Solution:
The image given is a rectangular prism (or) a cuboid.
Area of base = l × b = 25 square feet
Height of the prism = 3 feet
Volume of the prism = l × b × h
= (l × b) × h
= 25 × 3
= 75 cubic feet
Volume of the prism = 75 cubic feet
Hence, the volume of the prism is 75 cubic feet.
Answer:
The values of y would be -9 and 15
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
S(-2,3) and T(3,y)
substitute the given values in the formula and solve for y
squared both sides
take square root both sides
therefore
The values of y would be -9 and 15
Answer:
Step-by-step explanation:
time to cross will be the distance divided by the velocity in that direction.
a) t = d/v = 45/2.75 = 16.363636... 16.4 s
In the same time that the otter is swimming cross stream, the stream is also moving perpendicularly at its own pace.
b) d = vt = 2.5(16.36) = 40.9090... 40.9 m
As velocity is a vector, An observer on the bank would see the velocity as the vector addition of the cross stream and down stream velocities
c) v = √(2.75² + 2.5²) = 3.716517... 3.72 m/s magnitude
θ = arctan2.5/2.75 = 42.2736... 42.3° downstream of a line straight across
Answer:
C. Or the third option
Step-by-step explanation:
When you multiply something by a power of ten the decimal moves either left or right by the exponent. That probably sounds really confusing but here are some examples. If you multiply a number by 10^4 the decimal will move right 4 places making the number larger. Meanwhile if you multiplied it by 10^-4 it will move to the left 4 places making the number smaller. In your case, when you multiply 1.207 by 10^7, the decimal moves places to the right which makes it 12,070,000
