I need work shown. I can't figure these out

Mathematics

1 answer:

tatuchka [14]2 years ago

6 0

9). The river is 80 meters wide. That is, the distance from shore to shore as measured straight across the river is 80 meters. The time to cross this 80 meters wide river can be determined by rearranging and substituting into the average speed equation.

Time = distance/(ave.speed)

The distance of the 80 m can be substituted into the numerator; but what about the denominator. What value should be used for average speed?

time = (80 m)/(4 m/s) = 20 s it requires 20 s for the boat to travel across the river. During this 20 s the boat also drifts downstream.

What distance downstream?

distance = ave.speed * time = (3 m/s) * (20 s)
distance = 60 m The boat is carried 60 meters downstream during 20 seconds it takes to cross the river.

Resultant Velocity can be performed using the Pythagorean Theorem.

10).

You might be interested in

What is the square root of 864

skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$

Take any number that is repeated twice in the square root, and move it outside of the root:

$\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}$

$\sqrt{2 \cdot 2} = \sqrt{4} = 2$

$\sqrt{3 \cdot 3} = \sqrt{9} = 3$

$\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}$

$\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

6 0

3 years ago

Jackson mows lawns to make money. It costs him $7 each week to advertise his business. It costs him $1.50 in gas to mow each law

ArbitrLikvidat [17]

Say he mows 1 lawn every day, per week. He'd spend a total of $10.50 on gas and $7 for an advertisement for that week. Which would equal his total profit being $52.50 per week is his business.

7 0

2 years ago

Read 2 more answers

The cost of a pen at the office supply store is $2.65. The school store sells the pen for $3.45. How much does the school store

Julli [10]

The pen is what ever when you subtract them

3 0

2 years ago

Mario has a remaining balance of $1,300 on his credit card his credit card has an APR of 20% how much will he pay in interest in

nydimaria [60]

The correct answer for this problem is 6,500 in one month

4 0