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matrenka [14]
3 years ago
13

Alonzo will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additi

onal per mile driven. The second plan has no initial fee but costs per mile driven. How many miles would Alonzo need to drive for the two plans to cost the same?
Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

well I can't see the numbers it costs sir

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each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria
mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

A_t=\frac{1}{2}(b^2)sin(60^o)

where b is the length side of the equilateral triangle

we have

b=9\ units

A_t=\frac{1}{2}(81)sin(60^o)

A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}

A_t=81\frac{\sqrt{3}}{4}\ units^2

step 2

Find the area of circle

The area of the circle is equal to

A_c=\pi r^{2}

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

r=b\frac{\sqrt{3}}{6}

where b is the length side of the equilateral triangle

we have

b=9\ units

substitute

r=(9)\frac{\sqrt{3}}{6}

r=3\frac{\sqrt{3}}{2}\ units

Find the area

A_c=\pi (3\frac{\sqrt{3}}{2})^{2}

A_c=\frac{27}{4} \pi\ units^2

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

so

A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2

Simplify

A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2

6 0
3 years ago
The rule T1, -4 RO, 180°(x, y) is applied to rectangle KLMN. Which rectangle shows the final image??
fomenos
Let me help you!

Looking at the visual, we can see five figures: KLM, 1, 2, 3, and 4.
Applying t<span>he rule T1, -4 RO, 180°(x, y) to rectangle KLMN - without even solving - just by merely observing, we can say (without a doubt) that the rectangle KLMN will most likely fall in the negative axis.

First rotation: -4 to the left.
Second rotation: -4 to the left.
Last rotation: -4 to the left making the last figure 3. <----- What we are looking for!

Therefore, the rectangle which shows the final image is figure 3 or rectangle 3.</span>
7 0
4 years ago
Read 2 more answers
-3x + 3y S-9<br> 2x+y&lt;4
Vesna [10]

Answer:

Step-by-step explanation:

x + 3y = 9 this can be rewritten to x = 9 - 3y

and substitute the equation to 2x  - y = 4

it becomes

2 (9 - 3y) - y = 4

hope it helps

4 0
3 years ago
What is 10 8by13 add 4 24by49. these numbers are in mixed fraction​
kvv77 [185]

Answer:

7048/637

Step-by-step explanation:

10 8/13 + 4 24/49

138/13 + 220/49

taking LCM

(138*49 + 220*13) / (13*49)

7048 / 637

4 0
3 years ago
Need help please I don’t know it
elena55 [62]

Answer:

its h

Step-by-step explanation:

3/4th of 16 is 12

4 0
4 years ago
Read 2 more answers
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