Two friends go to a Mexican restaurant for lunch. One friend orders 1 soft taco and
3 burritos and his bill was $8.75. The other friend's bill was $10.00 and he ordered 4
soft tacos and 2 burritos. What is the cost of a taco and what is the cost of a
burrito?
The cost of a taco is:
The cost of a burrito is:

Answer:

[tex]\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}[/tex]

Step-by-step explanation:

The circumference of a circle with radius [tex]r[/tex] is given by [tex]C=2\pi r[/tex]. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle [tex]\theta^{\circ}[/tex] is equal to [tex]2\pi r\cdot \frac{\theta}{360}[/tex].

Formulas at a glance:

Question 1:

The radius of the circle is 12 m. Therefore, the circumference is:

[tex]C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}[/tex]

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

[tex]\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}[/tex]

Question 2:

In the circle shown, the radius is marked as 2 miles. Substituting [tex]r=2[/tex] into our circumference formula, we get:

[tex]C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}[/tex]

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

[tex]\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}[/tex]

9514 1404 393

Answer:

  5.7·10^-3

Step-by-step explanation:

The expanded scale shows point P lies 7/10 of the way between 5 and 6 times 10^-3. Its value is 5.7·10^-3.

Step-by-step explanation:

[tex]x + 3y = 7 \\ 2x + 4y = 8 \\ x = 7 - 3y \\ 2(7 - 3y) + 4y = 8 \\ 14 - 6y + 4y = 8 \\ 14 - 2y = 8 \\ - 2y = - 6 \\ y = 3 \\ x = 7 - 3(3) \\ x = 7 - 9 \\ x = - 2[/tex]

Answer:

2x+3y=7x4

x+4y=8x3

8x+12y=27

3x+12y=24

8x-3x =5x

+12y-+12y=0

27-24=3

5x/5 3/5x

answer = x = 3/5

y=1.85

Answer: When f(x)=g(x) , x equal to -2 or -1

Step-by-step explanation:

Answer:

119?

Step-by-step explanation:

Answer:

32 = <4

Step-by-step explanation:

The exterior angle of a  triangle is equal to the sum of the opposite interior angles

15+17 = <4

32 = <4

Answer:

The Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"

Step-by-step explanation:

Answer:

35.54

Step-by-step explanation:

use inverse tan

soh cah toa

we have both opposite and adjacent so we are using tangent

[tex]tan^{-1} (\frac{5}{7} )[/tex]

put that into a calculator and it would give you approximately 35.54 degrees

Answer:

sqrt(24)

Step-by-step explanation:

The number is slightly less than 5

We know that 5^2 =25

sqrt(25) = 5

so the number has to be less that sqrt(25)

The only number less than sqrt(25) is sqrt(24) and sqrt(20)

sqrt(20) is too far away to be slightly less than 5 so it must be sqrt(24)

Answer:

Hello,

answer B

2

Step-by-step explanation:

[tex]\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\[/tex]

Answer:

cannot be determined

Step-by-step explanation:

We do not know if any of the angles are equal and are only given two sides.

We cannot determine if the two triangles are similar

Answer:

d talking into microphone

Answer:

A=29.12ft^2

Step-by-step explanation:

first, find the area of the triangle and semicircle separately, then add them together to find the total area of the figure:

area of a triangle: 1/2bh

1/2(6)(8)=24ft^2

area of a circle: πr^2

(**we're using 3.14 instead of pi, and it's a semicircle)

1/2(3.14)(4)^2

1/2(3.14)(16)

1/2(50.24)

25.12ft^2

total area of the figure:

24+25.12=29.12ft^2

Answer: 49.12 ft²

Step-by-step explanation:

This figure is composed of

First, find the area of the half-circle.

The area of a full circle is π · r², but since it's only half a circle, we divide that by half, resulting in (π · r²)/2

Therefore, the area of the half-circle is:

(3.14 · 4²)/2 = (3.14 · 16)/2 = 50.24/2 = 25.12 ft²

Second, find the area of the right triangle.

The area of a triangle = ½bh.

Therefore, the area of the triangle is:

½ · 6 · 8 = ½ · 48 = 24 ft²

Add the two areas together:

24 + 25.12 = 49.12 ft²

The value of COS Cx sin A by the given data is V3/4.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

We are given that;

AB = 1, AC = 2 and BC = V3

Now,

To find the value of cos C x sin A, we need to use the trigonometric ratios of the right triangle.

We know that cos C = adjacent/hypotenuse = AB/AC = 1/2 and sin A = opposite/hypotenuse = BC/AC = V3/2.

cos C x sin A = (1/2) x (V3/2) = V3/4.

Therefore, by the trigonometric ratio the answer will be V3/4.

Learn more about trigonometric ratios;

https://brainly.com/question/21286835

#SPJ7

Answer:

x=15

Step-by-step explanation:

The first triangle

90+2x+4x=180

90+6x=180

6x=90

x=15

Answer:

a polygon has 3 or more sides

Answer:

$14722.14

Step-by-step explanation:

We are given that

In 2015

The value of jewel=$17500

Rate of appreciation, r=2.5%

We have to find the initial value of the jewel when it was first bought.

Time, n=7 years

Final value=[tex]Initial\;value (r/100+1)^n[/tex]

Using the formula

[tex]17500=Initial\;value(2.5/100+1)^7[/tex]

[tex]17500=Initial\;value(1.025)^7[/tex]

[tex]Initial\;value=\frac{17500}{(1.025)^7}[/tex]

Initial value=$14722.14

Hence, the the initial value of the jewel when it was first bought=$14722.14

Answer:

There were 44 students in each bus.

Step-by-step explanation:

357 - 5 = 352

352/8 = 44

Answer:

Step-by-step explanation:

Total students = 357

Total buses filled = 8

No of students traveled in car = 5

Remaining students = 357 - 5 = 352

Students in each bus = 352 ÷ 8 = 44 students

Answer:

61

Step-by-step explanation:

45/3 = 15

2*8 = 16

15+16-12+42 = 61

Answer:

15 + 16 + 30

and that is in total 61

Step-by-step explanation:

45/3 = 15

2×8 = 16

-12 + 42 = 30

you simplify an expression by calculating the part expressions, to be left only with the main terms and main operations.

Answer:

17 lb I guess 8 don't think the question is full

Step-by-step explanation:

the question is half

Answer:

75

Step-by-step explanation:

The first five multiples of 5 are 5, 10, 15, 20, and 25. The sum of the first five multiples of 5 is 75.

Answer:

5 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let h be the hypotenuse , then

h² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

h = [tex]\sqrt{25}[/tex] = 5

Answer: (C) [tex]y+1=-2(x-2)[/tex]

Step-by-step explanation:

Slope: y = mx +b

By looking at the graph we can see that the slope has a rise of 2 and a run of -1 (aka. -2x) We can also tell that this has a y-intercept of 3

So our slope is: y = -2x + 3

Now you just have to find the answer that matches.

Answer:

-23/9  or -2 5/9

Step-by-step explanation:

w+(-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9+(- 4/3) - 2/3

Get a common denominator of 9

-5/9 - 4/3 *3/3 - 2/3 *3/3

-5/9 - 12/9 - 6/9

-23/9

-2 5/9

Answer:

-2 5/9

Step-by-step explanation:

Answer:

second x -1,-3,-5 y 1 3 5 for proportional relation

Answer: 1:3

Step-by-step explanation:

The odds are 2/6 because you’re given 2 choices from the 6 side die you can then simplify that fraction to 1:3

Answer:

i can help you i know this answer

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Explanation:

The ratio of boys to girls is 3 to 5, which means,

b/g = 3/5

12/g = 3/5 ... plug in b = 12

12*5 = g*3 ... cross multiply

60 = 3g

3g = 60

g = 60/3 .... divide both sides by 3

g = 20 is the number of girls

b+g = 12+20 = 32 total students in the chess club.