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3 years ago

4/9 divided by 8/15 Please answer

Mathematics

1 answer:

natta225 [31]3 years ago

6 0

Answer:

5/6

Step-by-step explanation:

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The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the ap

GuDViN [60]

Answer:

A. 5.19 units

Step-by-step explanation:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

$\theta$ = 81°
Arc length = 7.34 units

Substituting given values into the equation and solving for r:

$\implies 7.34=2 \pi r\left(\dfrac{81^{\circ}}{360^{\circ}}\right)$

$\implies 7.34=r\left(\dfrac{18 \pi}{40}\right)$

$\implies 7.34 \cdot 40=18 \pi r$

$\implies 293.6=18 \pi r$

$\implies r=\dfrac{293.6}{18 \pi}$

$\implies r=5.19 \sf \: units \:(2\:dp)$

7 0

2 years ago

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Plz answer last question and im lost!

harkovskaia [24]

Answer:

$\pi$ radian

Step-by-step explanation:

We know that angle for a full circle is 2 $\pi$

In the given figure shape is semicircle

hence,

angle for semicircle will be half of angle of full circle

thus, angle for given figure = half of angle for a full circle = 1/2 * 2 $\pi$ = $\pi$

Thus, answer is $\pi$ radian

alternatively, we also know that angle for a straight line is 180 degrees

and 180 degrees is same as $\pi$ radian.

6 0

3 years ago

Find two numbers for which the sum is 101 and the difference is 47

ANEK [815]

Answer:

74 and 27

Step-by-step explanation:

let x and y be the numbers

x + y =101........eqn 1

x - y = 47.......eqn 2

solve simultaneously

from equation 2, make x the subject

x= 47 + y........eqn 3

put eqn 3 into eqn 1

(47+y) + y = 101

47 + 2y = 101

2y= 101 - 47

2y=54

y= 54/2

y= 27

put y=27 into eqn 3

x = 47 + 27

x = 74

5 0

3 years ago

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Which of the following numbers does not belong here? 64, 16, 36, 32, 8, 4

Harman [31]

Hello! 36 does not belong in the pattern. The pattern is multiply by 2, but 36 doesn’t belong, because half of it is 18 and 18 is not an option. The other numbers go together to make that pattern of multiplying by 2. The answer is 36.

8 0

3 years ago

In an architecture class the students built a scale model of an office building. If the scale is 1 in. = 12 feet and the model i

iogann1982 [59]

Answer:

102 feet tall

Step-by-step explanation:

12 multiplied by 8 1/2 to get 102

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3 years ago

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