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3 years ago

I will mark BRAINLIEST for the right and well explained answer!

Mathematics

2 answers:

Mademuasel [1]3 years ago

7 0

The three interior angles of any triangle add to 180 degress. Therefore,

180-(120 + 40) = the third angle.

So, 20 is the third angle

vlabodo [156]3 years ago

3 0

Answer: 20°

<u>Step-by-step explanation:</u>

1. B = 120°, C = 40° 1. Given

2. A + B + C = 180° 2. Triangle Sum Theorem

3. A + 120° + 40° = 180° 3. Substitution Property

4. A + 160° = 180° 4. Simplify (added like terms)

5. A = 20° 5. Subtraction Property of Equality

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Answer: ima newbie

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2 years ago

A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e

ladessa [460]

Answer:

$\frac{r(1-\sqrt{2})}{-3}$

Step-by-step explanation:

Volume of cone = $\frac{1}{3} \pi r^{2} h$

Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

= $\frac{1}{3} \pi r^{2} \times r$

= $\frac{1}{3} \pi r^{3}$

Surface area of cone including 1 base = $\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}$

Since r = h

So, area = $\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}$

= $\pi r^{2} +\pi\times r \times \sqrt{2r^2}$

= $\pi r^{2} +\pi\times r^2 \times \sqrt{2}$

Ratio of volume of cone to its surface area including base :

$\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}$

$\frac{\frac{1}{3}r}{1+\sqrt{2}}$

$\frac{r}{3(1+\sqrt{2})}$

Rationalizing

$\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}$

$\frac{r(1-\sqrt{2})}{-3}$

Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is $\frac{r(1-\sqrt{2})}{-3}$

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Answer:

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3 years ago

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150 x 5= 750
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3 years ago

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HELP ILL GIVE BRAINLIEST what shape is the base??

stepladder [879]

Answer:

rectangle

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2 years ago

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