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Semenov
16 days ago
15

How is 8.6-0.047=8.553

Mathematics
1 answer:
Leona [12.6K]16 days ago
4 0
This is because 8.6 can be understood as 8.600000... Therefore, you can compute 8.6000 - 0.0047 = 8.553. I hope this clarifies!
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Robert was able to travel 292.0 miles in 4.000 hours and used 38 liters of gasoline. What was robert's speed in feet per second?
zzz [12365]

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.

speed = \frac{distance}{time}

Thus,

\frac{1541760}{14400}

is 107.067 feet per second.

8 0
1 month ago
A pile of sand has a weight of 90kg the sand is put into a small bag and a medium bag and a large bag in the ratio 2:3:7
tester [12383]
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
3 0
1 month ago
The smallest number by which 28 should be multiplied so as to get a perfect square is​
Leona [12618]

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.

4 0
1 month ago
Value of sec Square 26 degrees - cot square 64 degrees is
Leona [12618]

Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

sec^{2}(26\°)-cot^2(64\°)

Recall that

cot^2(64\°)=\frac{cos^2(64\°)}{sin^2(64\°)}

sec^{2}(26\°)=\frac{1}{cos^2(26\°)}

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

\frac{1}{cos^2(26\°)}=\frac{1}{sin^2(64\°)}

Substituting values,

\frac{1}{sin^2(64\°)}-\frac{cos^2(64\°)}{sin^2(64\°)}

\frac{1-cos^2(64\°)}{sin^2(64\°)}

From this, we find

1-cos^2(64\°)=sin^2(64\°)

By substitution,

\frac{sin^2(64\°)}{sin^2(64\°)}=1

4 0
2 months ago
The flight path of a golf ball is modeled by the function, F (X) = -0.0 2X^2 Plus 6X, we are X represents the horizontal distanc
lawyer [12517]
Let’s tackle the problem. We know the formula for <span>the height of the ball is as follows:

</span>f(x)=-0.02x^{2}+6x
<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>x \geq 0<span>

The horizontal plane indicates the function's zero point, and since the ball cannot have negative height values, f(x) must also remain positive. Ultimately, the graph reveals that the suitable domain is:

</span>\boxed{0 \leq x \leq 300}<span>
</span><span>
</span>
3 0
16 days ago
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