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2 years ago

The point (0, 0) is a solution to which of these inequalities?

Mathematics

1 answer:

adell [148]2 years ago

7 0

Since - 5 is less than -4, hence the point (0, 0) is a solution to the inequality y-5<3x-4

<h3>Solution to inequality expression</h3>

Inequality are equations not separated by an equal sign. Given the inequality

y-5<3x-4

Check if (0, 0) is a solution

0 - 5 < 3(0) - 4

-5 < -4

Since - 5 is less than -4, hence the point (0, 0) is a solution to the inequality y-5<3x-4

learn more on inequality here: brainly.com/question/24372553

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two wheels are rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel 2r feet. If b

Nuetrik [128]

The circumference of a circle is C=2πR, where R is the radius of the circle and π≈3.14.

So if we open the circumference of the circle into a straight line segment, the length of this segment is C=2πR≈2*3.14*R=6.28R

4 rotations mean 4 circumferences that is 4 segments of length 6.28R,
which makes a linear distance of 4*6.28R=25.12R

i: the radius of the smaller wheel is R=r, thus it covers a distance of 25.12r feet

ii: the radius of the smaller wheel is R=2r, thus it covers a distance of 25.12*2r=50.24r (feet)

50.24r is twice 25.12r, thus the larger wheel traveled Twice the distance of the smaller one.

Answer: the larger covered twice the distance of the smaller.

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3 years ago

find the measure of the central angle of a circle if it's minor are length is 14π and the radius is 18 inches

MrMuchimi

Step-by-step explanation:

Length of arc of a circle is given as:

$l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: 14\pi = \frac{ \theta}{360 \degree} \times 2\pi \: \times 18 \\ \\ \therefore \:\theta = \frac{14\pi \times \: 360 \degree }{2\pi \: \times 18} \\ \\ \therefore \:\theta = \frac{7 \times \: 360 \degree }{18} \\ \\ \therefore \:\theta = 7 \times \: 20 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 140 \degree}}$

Thus, the measure of central angle is 140°.

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3 years ago

Jack is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, str

SCORPION-xisa [38]

Answer:

110 yards of string

Step-by-step explanation:

Converting the feet of the string of 1 balloon to yard

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6 feet = x

x = 6 × 1/3 yard

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Hence 1 balloon uses 2 yard of string

Since:

1 balloon = 2 yard of string

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x = 55 × 2 yard of string

x = 110 yards of string

Hence, for 55 balloons he would need 110 yards of string.

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3 years ago

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Sonja [21]

Answer:

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Step-by-step explanation:

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3 years ago

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Alenkasestr [34]

Answer:

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