Robert covered a distance of 292 miles.
He took 4 hours to complete this journey.
Next, let's convert miles to feet.
1 mile equals 5280 feet.
Thus, 292 miles in feet equals 292 * 5280 = 1541760 feet.
Now, converting 4 hours into seconds.
1 hour translates to 3600 seconds.
Therefore, 4 hours equals 3600 * 4 = 14400 seconds.
The question asks for speed in feet per second.

Thus,

is 107.067 feet per second.
90kg of sand was divided into 3 bags, constituting a total of 2+3+7=12 sections.
90kg/12=7.5kg
The smaller bag comprises 2 sections, hence it weighs 7.5kg*2=15kg
The medium-sized bag consists of 3 sections, leading to a total weight of 7.5kg*3=22.5kg
The larger bag encompasses 7 sections, resulting in a weight of 7.5kg*7=52.5kg
Thus, the ratio 2:3:7 translates to 15kg:22.5kg:52.5kg
Verifying, 15kg+22.5kg+52.5kg equals 90kg
Answer:
7.
Detailed explanation:
28 can be expressed as 2^2 * 7.
In order to achieve a perfect square with 28, multiplying by 7 results in 2^2 * 7^2, equaling 14 squared.
Answer:
The value equals 1
Step-by-step explanation:
Consider the expression

Recall that


For two complementary angles A and B (where A+B=90°),
the identity is
cos(A) = sin(B)
Here, 26° and 64° are complementary angles, so

Substituting values,


From this, we find

By substitution,

Let’s tackle the problem. We know the formula for <span>the height of the ball is as follows:
</span>

<span>
Here, x represents </span><span>the horizontal distance in yards that the ball has traveled in the air. Given that distance is always a positive value, we conclude that x must be greater than or equal to 0. Thus:
</span>

<span>
The horizontal plane indicates the function's zero point, and since the ball cannot have negative height values,

must also remain positive. Ultimately, the graph reveals that the suitable domain is:
</span>

<span>
</span><span>
</span>