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Brrunno [24]
4 years ago
13

Please help, thanks!

Mathematics
1 answer:
n200080 [17]4 years ago
8 0

Answer:

a) 10.5cm

b) 1520cm³ (3 s.f.)

c) 1270cm² (3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

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Determine the mechanical energy of this object a 1kg pendulum at a height of 1-meter
Lemur [1.5K]

Answer:

A

Step-by-step explanation:

Mechanical energy (ME) is Kinetic energy + potential energy

Where

Kinetic Energy (KE) = 1/2 * m * v^2

where m is the mass (in kg) and v is the speed of the object (in m/s)

and

Potential Energy (PE) = m*g*h

Where m is the mass (in kg) and g is the gravitational constant (9.81 m/s) and h is the height (in meters)

Hence

ME = KE + PE (note the pendulum DOES NOT have any speed, so v = 0, and thus KE = 0)

So,

ME=KE+PE\\ME=\frac{1}{2}mv^2+mgh\\ME=\frac{1}{2}(1)(0)^{2}+(1)(9.81)(1)\\ME=0+9.81\\ME=9.81

Hence, Mechanical Energy is 9.8 Joules (rounded to 1 decimal place). Correct answer is A.

7 0
3 years ago
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the
laila [671]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The standard form of the number 5, 976,000,000,000,000,000,000,000 is​
nirvana33 [79]

Answer:

5.976\times10^{24}

Step-by-step explanation:

<em>Standard form</em>, also called <em>scientific notation</em>, is a more compact way of writing very big or very small numbers. All numbers in scientific notation have the form

m\times10^b

where m is a number between 1 and 10, and b is an integer that represents how we've shifted the decimal point from the original number. For example, the number 23,000 in standard form would be written as 2.3 × 10⁴, since we have to shift the decimal point 4 places to the right to get back our original number.

We can turn 5,976,000,000,000,000,000,000,000 into a number between 1 and 10 by shifting the decimal 24 places to the left, giving us 5.976. We'll save that 24 as the exponent for our 10, giving us the final form

5.976\times10^{24}

5 0
3 years ago
The rule as a mapping for the translation of a rectangle is (x, y) → (x – 2, y + 7). Which describes this translation?
maksim [4K]

Answer:

The answer is a translation of 2 units to the left and 7 units up

Step-by-step explanation:

we know that

In the rule for the translation of a rectangle

(x, y) → (x – 2, y + 7).

the term (x-2) means a translation of 2 units to the left  

the term (y+7) means a translation of 7 units up

Therefore,

The answer is a translation of 2 units to the left and 7 units up....

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Write the following set in roster method:
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Answer:

the great

Step-by-step explanation:

usa united states

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