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koban [17]
3 years ago
9

6

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Step-by-step explanation:

a+b+c=180°

64°+b+c=180°

b=c

2b+64°=180°

2b=180-64

2b=116°

b=116/2

b=58°=c

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Find the volume of the figure of 7 inches, 21 inches and 15 inches.
AfilCa [17]

Answer:

2,205 cubic inches

Step-by-step explanation:

8 0
3 years ago
The diameter of a circle is 3.2 meters. Which is the circumference of the circle rounded to the nearest hundredth of a meter?
Paraphin [41]

Answer:

10.05 meters

Step-by-step explanation:

If the diameter is 3.2 meters, then the radius is 1.6 meters.

Use the circumference formula, C = 2\pir, and solve for C

C = 2\pir

C = 2\pi(1.6)

C = 3.2\pi

C = 10.05

So, to the nearest hundredth of a meter, the circumference is 10.05 meters

4 0
2 years ago
The distance from around the Earth along a given latitude can be found using the formula C=2∏r cos L , where r is the radius of
guajiro [1.7K]

Answer:

The distance reduces to 0 as you go from 0° to 90°

Step-by-step explanation:

The question requires you to find the distance using different values of L and check the trend of the values.

Given C=2×pi×r×cos L where L is the latitude  in ° and r is the radius in miles then;

Taking r=3960 and L=0° ,

C=2×\pi×3960×cos 0°

C=2×\pi×3960×1

C=7380\pi

Taking L=45° and r=3960 then;

C= 2×\pi×3960×cos 45°

C=5600.28\pi

Taking L=60° and r=3960 then;

C=2×\pi×3960×cos 60°

C=3960\pi

Taking L=90° and r=3960 then;

C=2×\pi×3960×cos 90°

C=2×\pi×3960×0

C=0

Conclusion

The values of the distance from around the Earth along a given latitude decreases with increase in the value of L when r is constant

7 0
3 years ago
Read 2 more answers
Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero. Fill in the miss
mario62 [17]

Answer:

We conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

  • \frac{ad+cb}{bd}       ∵ b≠0, d≠0, so bd≠0

Step-by-step explanation:

Let a, b, c, and d are integers.

Let a/b and c/d are two rational numbers and b≠0, d≠0

Proving that the sum of two rational numbers is rational.

\frac{a}{b}+\frac{c}{d}

As the least common multiplier of b, d: bd

Adjusting fractions based on the LCM

\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

          =\frac{ad+cb}{bd}

As b≠0, d≠0, so bd≠0

Therefore, we conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

  • \frac{ad+cb}{bd}       ∵ b≠0, d≠0, so bd≠0
3 0
3 years ago
A homeless shelter has beds for 20 men and 4 women. What percentage of the beds at the shelter are for men? Round the answer to
Kazeer [188]
83.33% is the answer

6 0
3 years ago
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