For this case we have the following mixed numbers:
We convert each mixed number into decimal:
Mercury orbits:
Venus orbits:
Mars orbits:
Answer:
Mercury orbits: 87.96
Venus orbits: 224.7
Mars orbits: 686.98
Can someone plzzz answer these questions with showing work?
1 answer:
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Answer:
The radius of the circle is 25m
Step-by-step explanation:
Here, we are to calculate the radius of the circle.
The distance from the circle center, the half the length of the chord and the radius forms a right triangle with the radius being the hypotenuse.
We can then use Pythagoras’s theorem to approximate the value of the radius
Mathematically, the Pythagorean theorem establishes that the square of the hypotenuse = the sum of the squares of the other two sides
r^2 = 7^2 + 24^2
r^2 = 49 + 576
r^2 = 625
r = √(625)
r = 25m
Answer: The length of the hypotenuse is 26 cm
Step-by-step explanation: Please refer to the attached diagram
The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.
Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that
AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides
In this question the hypotenuse is AB, so we now have;
AB² = AC² + CB²
AB² 24² + 10²
AB² = 576 + 100
AB² = 676
Add the square root sign to both sides of the equation
√AB² = √676
AB = 26
Therefore the length of the hypotenuse is 26 cm
Answer: the correct option is
(D) The imaginary part is zero.
Step-by-step explanation: Given that neither a nor b are equal to zero.
We are to select the correct statement that accurately describes the following product :
We will be using the following formula :
From product (i), we get
So, there is no imaginary part in the given product.
Thus, the correct option is
(D) The imaginary part is zero.