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Anastasy [175]
3 years ago
12

Which of the following equations has an infinite number of solutions?

Mathematics
1 answer:
trasher [3.6K]3 years ago
5 0

Answer:

7x + 5 = 4x + 5 + 3x

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The answer to your question is 14%
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Chase is trying to calculate the total cost of the T-shirt that he's buying. Since it's on sale, he first found the amount of th
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In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.
Irina-Kira [14]
Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

c^{2} = a^{2} + b^{2} - 2abcosC

Rearranging this equation, we can find the value ∠C as shown below.

\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}
C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})

We can apply the same reasoning for finding the value of ∠B as shown.

B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})
C \approx 37.19

B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})
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Answer: ∠C = 37.19° and ∠B = 53.13°

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What is the volume (in cubic units) of a sphere with a radius of 18 units? Assume that π = 3.14 and round your answer to the nea
Nataly [62]

Answer:

The volume of sphere is 24416.64\ cm^3.

Step-by-step explanation:

We have,

Radius of a sphere is 18 units.

It is required to find the volume of sphere.

The formula of the volume of sphere in terms of radius is given by :

V=\dfrac{4}{3}\pi r^3

Plugging all values in above formula

V=\dfrac{4}{3}\times 3.14\times (18)^3\\\\V=24416.64\ cm^3

So, the volume of sphere is 24416.64\ cm^3.

7 0
2 years ago
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