Question #5
Charles cut a slice from a circular pizza with the diameter shown below.
Pizza
15 inches
The slice has an arc length of 21.5 inches along the crust. What is the approximate measure of the
central angle of the slice of pizza Charles cut?
A) 82
B) 164
C) 196
D) 278°

Answer:

Scalene

Step-by-step explanation:

All sides are not the same so it is considered scalene.

Classifications:

Scalene = no sides and angles are the same to others

Equilateral = All sides and angles are congruent

Isosceles = 2 sides and 2 angles are congruent.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Scalene

Step-by-step explanation:

Isosceles=two sides are equal

Scalene=all sides are different

Equilateral=all three sides are equal

Given:

In circle L, measure of angle KLM is 54 degrees and KL = 10 units.

To find:

The length of arc KM.

Solution:

The formula for arc length is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]          ...(i)

Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in degrees.

The measure of KL is 10 units, it means the radius of the circle L is 10 units.

The measure of angle KLM is 54 degrees, it means the measure of central angle on arc KM is 54 degrees.

Putting [tex]\pi=3.14, r=10,\theta=54^\circ[/tex] in (i), we get

[tex]s=2(3.14)(10)\times \dfrac{54^\circ}{360^\circ}[/tex]

[tex]s=20(3.14)\times 0.15[/tex]

[tex]s=9.42[/tex]

Therefore, the length of arc KM is 9.42 units.

Answer:

88 square inches

Step-by-step explanation:

A circular plate has circumference 33.3 inches.

Step 1

We find the radius

The formula to find the radius go a circle given circumference is

= C /2π

r = 33.3/2 × 3.14

r = 5.3025477707 inches

Approximately to the nearest thousandth = 5.303 inches

Step 2

What is the area of this plate? Use 3.14 for Pi.

The area of a circle = πr²

Where

π = 3.14

r = 5.3025477707 inches

Hence

Area of the circle = 3.14 × (5.303inches)²

= 88.30248026 square inches

Approximately to the nearest whole number the area of the circle = 88 square inches

The area of this plate is about 88 square inches.

Answer: B.) 75%

Step-by-step explanation:

12 cans contain veggies and 5 cans are dented, since two of the dented cans contain veggies don't count those two. This means you'll add 12 and 3 which equals 15. 15 out of 20 is an example of three fourths or 75%.

Answer:

$117

Step-by-step explanation:

[tex]210 \div 35 = 6[/tex]

[tex]19.50 \times 6 = 117[/tex]

Answer:

78 cm^2

Step-by-step explanation:

This will require 3 steps.

1) Area of the entire rectangle

18cm * 8 cm = 144 cm^2

2) Area of the square with one side length of 9cm

The missing measurement for the heights below 2cm

8cm - 2 cm = 6 cm

This area will be 6cm * 9 cm = 54 cm^2

3) Triangle

You have your height, which is 6cm

You also have your base, 18 cm total length minus the 5 cm stated minus the 9 cm also stated.

18cm - 5cm - 9 cm = 4 cm

The area of a triangle is A= h b/2

A = 6 * (4/2)

A = 12 cm^2

Now substract the sum of the smaller rectangle and the triangle from your large triangle

144 - 54 - 12

Answer:

I need to see the table bro

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

60% of the test scores are less than or equal to 82

Step-by-step explanation:

Answer:

the student who prefers football but not baseball

Answer:

g(x)=0  when x= 2 or when x= 5

The graph of g intercepts the x-axis at x= 2 and x= 5

The zeros of g are 2 and 5

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation:

Anything with the power of 0 is 1

Statement 1 and statement 3 contradict

======================================================

Explanation:

We'll start with statement 1 and try to build to statement 3, and you'll find that a contradiction happens.

If angle 1 and angle 2 are supplementary, then that must mean [tex]m \angle 1 + m \angle 2 = 180[/tex] because the angles can be combined to form a straight angle.

Add the measure of angle 3 to both sides

[tex]m \angle 1 + m \angle 2 = 180\\\\m \angle 1 + m \angle 2+m\angle 3 = 180+m\angle 3[/tex]

The left side matches with the left side in statement 3, but the right side is a bit off. That [tex]m\angle 3[/tex] term needs to be zero, so that the right side boils down to simply 180. However, statement 3 specifically mentions that angle 3 is nonzero. So angle 3 is some positive value.

That's why choice C is the answer.

------------------

Here's an example:

Let's say angles 1 and 2 are 50 and 130 degrees. The order doesn't really matter, but I'll make angle 1 to be the smaller angle.

This means,

[tex]m \angle 1 + m \angle 2 = 180\\\\50 + 130 = 180\\\\[/tex]

So we've made statement 1 to be true. The angles 50 and 130 are indeed supplementary.

Now let's add some nonzero value to both sides. This will represent the measure of angle 3. If we add say 10 degrees to both sides, then,

[tex]50 + 130 = 180\\\\50 + 130+10 = 180+10\\\\50 + 130+10 = 190\\\\m\angle 1 + m\angle 2 + m\angle 3 = 190\\\\[/tex]

we don't get 180 like we want in the equation of statement 3. This is where the contradiction happens, more or less. One right side is 180, the other right side is 190. The 190 will change if you use some other value for angle 3, but hopefully you can see that it's impossible to add up angles 1 through 3 to get 180. It's only possible if angle 3 were zero degrees.

We can think of it like angles 1 and 2 hog up all the oxygen, and use up 180 points of it, leaving no air for angle 3 to breathe so that's why angle 3 must be 0. Furthermore, it means that a triangle is not possible if exactly two angles are supplementary.

----------------------

Extra info:

Answer:

C) l and lll

Step-by-step explanation:

m∠1+∠2=180

m∠1+m∠2+m∠3=180

180+m∠3=180

m∠3=0 but m∠3=∦0

-----------------------------------

hope it helps...

have a great day!!

Answer:

122

Step-by-step explanation:

Four multiplied by 29 add six

Answer:

No

Step-by-step explanation:

I honestly find it quite disturbing. That is just me though, and I just hate seeing animals get hurt.

Answer:

Step-by-step explanation:

To find the diameter of a circle, using only the circumference, you need to divide the circumference by π, or 3.14.

So in this case, you must divide 12 by 3.14, which gives you 3.82.

I even double checked this, and should be correct then.

Answer:

The diameter is approximately 3.8 mi

Step-by-step explanation:

The circumference formula is C = πd.  Dividing both sides by π results in a formula for d (diameter) when C is known:

d = C / π

In this case, with C = 12 mi,

d = 12 mi / π, or approximately 3.8 mi

Answer:

d. more than 95%

Step-by-step explanation:

According to a survey carried out by the Food Drug Administration from 2016 to 2017, termed Population Assessment of Tobacco and Health, it was discovered that a high percentage of the youth population smoked e-cigarettes with special flavorings. Specifically, it was found that 96.1% of young people within the ages of 12 to 17 started their use of e-cigarettes with the flavored options.

As at the time when the report was being published, 97% of e-cigarette users reported having used flavored e-cigarettes in the past month. The above data shows that more than 95% of youths that vape have smoked e-cigarettes with special flavorings.

Answer:

Its in the picture so you can understand it better.

Step-by-step explanation:

Answer:

$207.66

Step-by-step explanation:

30% off is the same as saying there is 70% not off, and 70% is the same as 0.70

0.70*349= 244.30

15% off is the same as saying 85% is not off, and

85% is the same as 0.85

0.85*244.30=207.655

because it's money, you round to 2nd decimal place

$207.66

hope this was helpful :)

all of the apply my math teacher always did that and all of them aways applied

Answer:

(3x + 4)(x-1)=0

Step-by-step explanation:

It's a quadratic equation.

now you need to find two numbers such that when you multiply then you get -12 and when you add them you get +1

[tex]3x {}^{2} + x - 4 \\ 3x {}^{2} + 4x - 3x - 4 \\ x(3x + 4) - 1(3x + 4) \\ (3x + 4)(x - 1)[/tex]

Answer:

3) 3k+20

4) 4+2d

Step-by-step explanation:

You first have to distribute by multiplying the number next to the expression in the parenthesis. Then you combine like terms.

3) 5(k+4)-2k

  Step 1: (5×k= 5k) (5×4=20) equation is now 5k+20-2k

  Step 2: 5k-2k=3k since they both have the same variable you combine like terms. Equation is now 3k+20 (Final answer)

4) 2(3+d-1)

  Step 1: (2×3=6) (2×d=2d) (2×[-1]=2) Equation is now 6+2d-1.

  Step 2: (6-2=4) Since both 6 and 1 don't have any variable their like terms and you combine them. Equation is now 4+2d (Final answer)

C) x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ π

Correct on Edge 2021

Answer:

I think it's either B or C

hope this helps

have a good day :)

Step-by-step explanation:

Pick which one you think best

Answer:

the equality is false the correct solution is

[tex]4.5 \times 104 \\ (4 + 0.5) \times 104 \\ 4 \times 104 + 0.5 \times 104 \\ 416 + 52 \\ = 468[/tex]

hope it helps

please give me brainliest.

Answer:

3(x+2)=12

Step-by-step explanation:

let the number be x

the sum=x+2

the answer

3(x+2)=12

2.1 and 4.1

.................

Answer:

2.1 should be the first one, and 4.1 should be the next one

Answer:

<A = 35degrees

<B =90degrees

<C = 55degrees

Step-by-step explanation:

Given the ratios of a triangle as 7:18:11

Total ratio = 7+18+11

Total ratio = 36

Since the smallest angle is 35degrees, hence <A = 35degrees

Get angle B;

<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)

<B = 1/2 * 180

<B = 90degrees

Get angle C;

<C = 11/36 * 180

<C = 11 * 5

<C = 55degrees

Hence the value of A, B and C are 35, 90 and 55 degrees repectively