Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.

Answer:

Step-by-step explanation:

arc length= central length/360 (circumference)

GJ=90/360 (2π20)

GJ= 31.42

31.42

The length of arc GJ is 11.5133 unit.

In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.

We have,

m <GHJ = 66 and GH = 10 unit

Now, using arc length formula

= nπr / 180

= 66 x 3.14 x 10/ 180

= 11.5133 unit

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Answer:

did this bring a pic because i might need it to answer the question since its not answerable if theres no more details

Step-by-step explanation:

Answer:

y = ∛x - 25

Step-by-step explanation:

To find the inverse function, swap x and y , and solve the resulting equation for x.

If the initial function is not one-to-one, than there will be more than one inverse.

So, swap the variables: y = x³ + 25 becomes x = y³ + 25

Now solve the equation, x = y³  + 25 for y.

y = ∛x - 25

Answer:

y = -2

Step-by-step explanation:

y - y₁ = m (x - x₁)

y + 2 = 0 (x + 4)

y + 2 = 0

Final simplified equation: y = -2

Hope this helps!

Answer:

As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:

1st term: 2 = 2(1)

2nd term: 4 = 2(2)

3rd term: 6 = 2(3)

4th term: 8 = 2(4)

Additional terms:

5th term: 10 = 2(5)

6th term: 12 = 2(6)

7th term: 14 = 2(7)

8th term: 16 = 2(8)

Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.

Notice that we add 2 to each term in order to get to the next term.

Since we use addition, we have an arithmetic sequence.

Hence, the nth term is:-

n+2

Hope it helps!

Any queries - comment !

Answer:

-28

Step-by-step explanation:

6|-5| - 3(2/3) + 7(-8)=

30 -2 -56

30 -58 = -28

Answer:

x=1

Step-by-step explanation:

since one y is positive and the other is negative, they cancel eachother out,    making 3x=3. 3/3=1

The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.

It is to detrmine the y-intercept and the horizontal asymptote of g(x) = 2x + 7.

A line can be defined as it is the shortest distance between two points on the graph called a line. Equation of the y = mx + c, where c is the y-intercept and m is the slope of the line.

The y-intercept of g(x) = 2x + 7 is the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. (0, 7).

An asymptote of g(x) = 2x + 7 is a line that a graph approaches without touching i.e. y = 2.

Thus, The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.

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The bicycle will travel approximately 588.75 feet after 75 revolutions. Rounded to the nearest foot, the answer is 589 feet.

The distance along a circle's perimeter is referred to as its circumference.

The distance traveled by bicycle in one revolution is equal to the circumference of the wheel.

The circumference of a circle is given by the formula:

C = 2πr

where r is the radius of the circle and π is approximately 3.14.

In this case, the radius of the bicycle wheel is 1.25 ft.

Therefore, the circumference of the wheel is:

C = 2π(1.25) = 2.5π ft

After 75 revolutions, the distance traveled by bicycle is:

distance = 75 revolutions × 2.5π ft/revolution

distance = 187.5π ft

Using a calculator, we can approximate π as 3.14 and calculate:

distance ≈ 588.75 ft

Therefore, distance = 589 ft.

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Answer:

True

this is true there is also another way of thinking of it

Imagine subtracting 3 from both sides so then it will be X= -3

Answer:

I think 2(x^2−y^2)=3x

Answer:

Its 2(x^2-y^2)=3x

Answer:

28

Step-by-step explanation:

radius= 14

circumstances of tire=?

Based on given conditions, formulate

circumstances= 2 multiply radius

= 2 multiply by 14

= 28

The reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.

Mobile banking is doing transaction and bank related works through mobile apps.

Online banking refers to internet banking, usually done through websites of banks. Usually, user uses this type of banking in desktops, rather than mobiles as for mobiles, there are apps already available which are more convenient than websites.

Option A is not correct as there is almost same security for both types of banking.

Option C is not correct as this third party information access can be done for both mobile and online banking if the security is weak, else none of them will be affected.

Option D: Mostly, banking apps do not store crucial informations in memory, and if they do so,then they are protected and no other app can use it., so this option is incorrect.

Option B is somewhat correct as mobiles can be lost or stolen easily. The hacker can then use that device to steal the data if the security is weak. But, even if the security is tight, the situation when your mobile with banking information is in hands of an unethical hacker is somewhat risky.

Thus, the reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.

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Answer:

x= 14. (ik this not trig but side opp. 30 angle is half the hypotenuse in right triangle). pls give brainliest

Step-by-step explanation:

CCan you make it visible to see, please!CCan

Using proportions, it is found that the values that complete the table, from top to bottom, are given by: $670, $920, $1500, $2100.

A proportion is a fraction of a total amount.

Considering that the amounts in taxes correspond to 9% of the gross income, we have that for each family, we will find the incomes as follows:

Family 1:

0.09I = 60.30.

I = 60.30/0.09

I = $670.

Family 2:

0.09I = 82.80.

I = 82.80/0.09

I = $920.

Family 3:

0.09I = 135.00.

I = 135.00/0.09

I = $1500.

Family 4:

0.09I = 189.00.

I = 189.00/0.09

I = $2100.

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Step-by-step explanation:

negative correlation because the negative correlation moves towards the left.

Answer:

Step-by-step explanation:

Using it's concept, it is found that the probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the coin has two outcomes, one of which is tails, while the number cube has six outcomes, one of which is five. Since the coin and the number cube are independent, we just multiply the probabilities, hence:

[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]

The probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].

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Answer:

Step-by-step explanation:

The marked angles have a sum of 90°. This lets you find the unknown angle and the value of x.

  42° +3x° = 90°

  3x° = 48° . . . . . . . . . subtract 42°. This is the value of the unknown angle

  x = 16 . . . . . . divide by 3°

__

The value of x is 16.

The measure of the missing angle is 48.

Answer:

A

Step-by-step explanation:

We do the opposite.

Answer: A. c = nv

Step-by-step explanation: This is simple algebra, despite the complicated variables involved. Just think of it as a normal equation.

First, we multiply both sides by v to get rid of c/v. Thus, nv = c. We can switch sides since c also equals nv. So, the answer of c = nv, or A in the multiple choice.

Answer:

-3

Step-by-step explanation:

since if you multiply by -3 the sum of both equations will not have an x variable.

Answer:

D

Step-by-step explanation:

The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3, and since side AC is the corresponding side of side DF -> Side DF = 3/2 side AC

-> Side DF = 2.5 x 3/2 = 3.75 cm.

hi hope this is what you were looking for, hope this helps.

Answer:

a. 144m

b. After 2 secs

c. Ball hits the ground after 5 secs.

d. 128m

Step-by-step explanation:

A To find max height, find derivative of equation, let it equal zero, and sub in value into original equation: h(t) = -16t² + 64t + 80 h'(t)=-32t+64 -32t+64=0 32t=64 t=2 h(2) = -16(2²) + 64(2) + 80 h(2) = -64+128+80 = 144m B When h=144, t=2. Therefore, the ball reaches its max height after 2 secs. C When the ball hits the ground, h=0: -16t² + 64t + 80=0 t²-4t-5=0 (simplified) (t-5)(t+1)=0 t=5 and t=-1 Discount t=-1 (time cant be neg). Ball hits the ground after 5 secs. D Find h when t=1: h(t) = -16t² + 64t + 80 h(1) = -16(1²) + 64(1) + 80 h(1) = -16+64+80 h(1) = 128m.

A. -2/7

B. -8/15

hope it helps...!!!

Answer:

BC = 30.73

Here,

[tex]\sf \frac{AB}{BQ} = \frac{CD}{DQ}[/tex]

so first solve for QD

[tex]\sf \hookrightarrow \frac{32}{15} = \frac{19.2}{DQ}[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =19.2(15)[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =288[/tex]

[tex]\sf \hookrightarrow DQ =9[/tex]

Now! using Pythagoras theorem,

Answer:

BC = 30.7 units (nearest tenth)

Step-by-step explanation:

As ∠AQR = ∠CQR  then ∠AQB = ∠CQD

This means that ΔABQ ~ ΔCDQ

Therefore, the side lengths of two similar triangles are proportional.

[tex]\begin{aligned} \sf \dfrac{AB}{CD} & =\sf \dfrac{BQ}{QD}\\\sf \implies \dfrac{32}{19.2} & =\sf \dfrac{15.0}{QD}\\\sf \implies QD & = \sf 9 \end{aligned}[/tex]

Pythagoras' Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting values into the formula:

[tex]\begin{aligned}\sf 24^2+19.2^2 & = \sf BC^2\\\sf BC^2 & = \sf 944.64\\\sf BC & = \sf \pm\sqrt{944.64}\\\sf BC & = \sf 30.7 \ (nearest \ tenth)\end{aligned}[/tex]

(since distance is positive only)