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Alja [10]
3 years ago
11

Determine the intercepts of the line.

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
4 0

Answer:

x-intercept is (0.3 , 0)

y-intercept is (0 , 0.4)

Step-by-step explanation:

x-intercept is the point where the line crosses the x-axis (horizontal line)

y-intercept is the point where the line crosses the y-axis (vertical line)

navik [9.2K]3 years ago
4 0

Answer:

x-intercept (0.3,0)

y-intercept (0,0.4)

Step-by-step explanation:

An intercept is where the line intersects with the corresponding axis. For example, the x intersect will be the x-value when the line hits the axis. In this case that is 0.3, then y will equal 0, because the point is on the axis and because y will always equal 0 for the x-intercept. To find the y-intercept do the same thing but with the y value.

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swat32

Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.

In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.

These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.

So, the two rectangles are similar if the following is true.

4\div 5 = 11\div 12

In any proportion, the product of the inner terms must be the same as the product of the outer terms:

4\cdot 12 = 5\cdot 11 \iff 48=55

This is clearly false, and thus the two rectangles are not similar.

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The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d
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A rental car agency rents cars for $32 per day. They also charge $0.15 per mile driven. If you are taking a 5-day trip and have
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So it would be 600 miles you can drive within the limit of $250 and that would be $160 for the 5 day trip with $32 a day and 90 divided by $0.15 is 600 miles. 600 Miles is the answer.

6 0
3 years ago
Rachel finished a meal at a diner and received a bill for $10.99. She charged the bill along with a 15 percent gratuity to her
muminat

Answer:

so her bill was 10.99 and she added 15% for the tip, how much is 15% of 10.99?

well, if we take the 10.99 to be the 100%, let's see how much is 15% of that.10.99 + x.

Step-by-step explanation:

4 0
3 years ago
A lighthouse is located on a small island 5 km away from the nearest point P on a straight shoreline and its light makes seven r
Vaselesa [24]

Answer:

Light is moving at the speed = 77.78 km/min

Step-by-step explanation:

Given:

Distance between island and point P = 5 km

Moving along the the shoreline when it is 1 km from P.

So, x = 1

From the above statement light makes seven revolutions per minute.

Therefore,              

\frac{d\theta}{dt}=\frac{7\times 2\pi\ rad}{1\ min}  = 14\pi\ rad/min  

Solution:

From the given figure.

tan\theta=\frac{x}{5}

Substitute x = 1

tan\theta=\frac{1}{5}  -------------------(1)

Now, first we differentiate both side with respect to t.

\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})

Using chain rule.

\frac{d(tan\theta)}{dt}.\frac{d\theta}{dt}  = (\frac{1}{5})\frac{dx}{dt}

sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute tan\theta=\frac{1}{5} from equation 1.

(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+\frac{1}{9}).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute \frac{d\theta}{dt}=14\pi

\frac{10}{9}.14\pi  = \frac{1}{5}.\frac{dx}{dt}

Applying cross multiplication rule.

\frac{dx}{dt}= \frac{700\pi }{9}

\frac{dx}{dt}= 77.78\pi

Therefore, light is moving along the shore at the speed of 77.78 km/min

6 0
3 years ago
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