Every 24 hours, the earth rotates 360° about its axis. How

Mathematics

1 answer:

Usimov [2.4K]2 years ago

8 0

360 degrees / 24 hours = 15 degrees per hour

150 degrees / 15 degrees per hour = 10 hours

Answer: 10 hours

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beks73 [17]

The commutative property of addition means the order of the addends doesn't matter; we get the same sum. In symbols

$a+b = b+a$

<span>11 + 7 = 7 + 11, choice B, is a good illustration of commutativity.

The next part asks us to use the commutative property. Looking at the choices, we see it's not the commutative property of addition we're to use, it's the commutative property of multiplication. Let's write that generally first:

</span> $ab = ba$

Applying that, <span>(4 + 7) * 3 = 3*(4+7), again choice B.
</span>

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3 years ago

Find the error and explain what there is incorrectly. Then, solve the problem correctly.

frez [133]

The problem is that 7^2 is 7*7, and the same for 8^2. The right answer is the square root of 15, or 3.87

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3 years ago

Read 2 more answers

Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).

Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

$m_1=\frac{7-0}{3-0}=\frac{7}{3}$

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)$

The slope of the line joining E(7,0), and F(3,7). is:

$m_1=\frac{7-0}{3-7}=-\frac{7}{4}$

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)$