The diagram shows a sector OAPB of a circle, centre O.
AB is a chord of the circle.
OA = OB = 5.4 cm.
Angle AOB = 72°

Calculate the area of the shaded segment APB.
Give your answer correct to 3 significant figures.

Answer:

I believe the right answer is answer A

38.1372ft2

Step-by-step explanation:

lxw 6x4

[tex] \frac{1}{2} \pi \: {r}^{2} [/tex]

add both together, your radius is half your length so half of 6ft is 3 for your radius

Answer:

Crawling

Step-by-step explanation:

Answer:

20x^5

Step-by-step explanation:

You have to first find the prime factors of each term in order to find the greatest common factor.

Answer:

25

Step-by-step explanation:

Substituting x = 8 into the expression

5(8 + 1) - 20

= 5(9) - 20

= 45 - 20

= 25

Answer:

25

Step-by-step explanation:

see Image below:)

Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

to find first quartile,median,third quartile data must be arranged in ascending to descending order

since the data is already in the order so we dont need to change

median=(N+1)/2 (N is number of data)

=(7+1)/2

=8/2

=4 th term

=55

Answer:

$2000

Step-by-step explanation:

1,000 g would be = 1 Kg so it would be 25 Kg

And 25 X 80 = 2000

Answer:

$400

Step-by-step explanation:

25,000 grams is equal to 25 kg, so if 5 kg equals $80, the total 25 kg divided by 5 equals five. With this you multiply; 5 × 80 kg = 400. So $400 is the answer.

Answer:

Option B is the correct answer

Step-by-step explanation:

A line segment is a line drawn with two end points.

1.) Option A is a point

2.) Option B is a line segment

3.) Option C is a ray

4.) Option D is a line

Hope this helps!

Answer:

7.1

Step-by-step explanation:

Use the trig ratio tan to find b

4.5 x tan (23) = b = 7.14668887526

7.1

Answer:

b ≈ 1.9

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan23° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{4.5}[/tex] ( multiply both sides by 4.5 )

4.5 × tan23° = b , then

b ≈ 1.9 ( to the nearest tenth )

Answer:

1/3 x 1/3 x 1/3(volume of small cube) = 1/27

2/3 x 7/3 x 4/3(volume of figure shown) = 2 2/27

Now we divide to see how many cubes can fit.:

2 2/27(make improper fraction) divided by 1/27 = 56 small little cubes can fit.

Answer:

x=1/2

Step-by-step explanation:

See image below:)

Answer:

6 equal parts;  8 equal parts

Both those will go into 24.

Step-by-step explanation:  Each of six slices of the first pasta has the area 1%2F6 of the entire pan.

Each of eight slices of the second pasta has the area 1%2F8 of the original pan.

Nelda will cut each 1%2F6 in 4 equal pieces to get 1%2F24.

She also will cut each 1%2F8 in 3 equal pieces to get 1%2F24.

Answer:

x = 21

Step-by-step explanation:

x + 15 - 15 = 21

+ 15 and - 15 cancel out

So x = 21

Let's solve the longer way

x + 15 - 15 = 21

x + 15 = 21 + 15 .      (adding 15 to both sides)

x = 21                       (Subtracting 15 from both sides)

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

The answer that goes into the blank is 21

Step-by-step explanation:

15-15 is 0, so 21+15= 36-15=21

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

9514 1404 393

Answer:

  a) see attached

  b) 1/3

Step-by-step explanation:

Your grid doesn't come with any coordinate axes, so you will need to draw those and label them. You will also need to determine the number of grid squares for each unit. (I suggest 2 grid squares per unit to give you a little more distance between the points you plot. The attachment shows 5 small squares per unit. You may not have this much space on your graph.)

Plot the points. Once you do this, you can see that their horizontal difference is 3 units and their vertical difference is 1 unit. The right point is above the left point, so the slope is positive:

  m = (rise)/(run) = 1/3 . . . slope of the line

Answer:

1-4=-3

-1-4=-5

-1+4=3

1-|-4|=5

Answer:

[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]

Step-by-step explanation:

The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.

Given:

The system of equation is:

[tex]-2x+4y=16[/tex]

[tex]2x+2y=8[/tex]

To find:

The solution of the given system of equations.

Solution:

We have,

[tex]-2x+4y=16[/tex]              ...(i)

[tex]2x+2y=8[/tex]                ...(ii)

Add (i) and (ii) to eliminate the variable x.

[tex]6y=24[/tex]

[tex]y=\dfrac{24}{6}[/tex]

[tex]y=4[/tex]

Putting [tex]y=4[/tex] in (ii), we get

[tex]2x+2(4)=8[/tex]

[tex]2x+8=8[/tex]

[tex]2x=8-8[/tex]

[tex]2x=0[/tex]

Divide both sides by 2.

[tex]x=0[/tex]

Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.

Answer:

(0,4) or A

Step-by-step explanation:

Edge 2021

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

Answer:

From least to greatest

C

B

A

Step-by-step explanation:

Function A is the only one with a positive y-intercept

so it's the greatest

Function B has a y-intercept of -1 as read of the graph

it is the middle one

Function C has a y-intercept of -9/4 as given in point (0, -9/4)

this is the least

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

From least to greatest

C

B

A

Answer:

3n+2

Step-by-step explanation:

−n+(−4)−(−4n)+6

Combine like terms

−n−(−4n)+6+(−4)

A negative negative is like adding

−n+(4n)+6+(-4)

3n+2

is this an algebra class? if so it just

11.50x + 16y = 20.25

Answer:

x=50

Step-by-step explanation:

Since it's a straight line, 3x-20+x=180. 4x=200, x=50

Answer:

[tex]s(8)=2186[/tex]

Step-by-step explanation:

A particle is moving with acceleration modeled by the function:

[tex]a(t)=18t+16[/tex]

We are given that its position s(t) at t = 0 is 10 and that its velocity v(t) at t = 0 is 16.

And we want to find its position at t = 8.

Velocity is the integral of the acceleration. Hence:

[tex]\displaystyle v(t)=\int a(t)\, dt=\int 18t+16\, dt[/tex]

Find the velocity. Remember the constant of integration!

[tex]v(t)=9t^2+16t+C[/tex]

Since v(t) is 16 when t = 0:

[tex](16)=9(0)^2+16(0)+C\Rightarrow C=16[/tex]

Hence, our velocity is given by:

[tex]v(t)=9t^2+16t+16[/tex]

Position is the integral of the velocity. Hence:

[tex]\displaystyle s(t)=\int v(t)\, dt=\int 9t^2+16t+16\, dt[/tex]

Integrate:

[tex]\displaystyle s(t)=3t^3+8t^2+16t+C[/tex]

s(t) is 10 when t = 10. Hence:

[tex]C=10[/tex]

So, our position function is:

[tex]s(t)=3t^3+8t^2+16t+10[/tex]

The position at t = 8 will be:

[tex]s(8)=3(8)^3+8(8)^2+16(8)+10=2186[/tex]

Answer:

Indirect measurement

Step-by-step explanation:

Answer:

23.32 Miles

Step-by-step explanation:

According to the Question,

(For Diagram Please Find in Attachment)

In Triangle ABC , Apply Pythagoras Theorem, We get

AC²=AB² + BC²

AC² = 12² + 20²

AC² = 544 ⇒ √544 ⇔ 23.32 miles

Answer:

The third option, a rational number

like 1/5 + 2.5 is still rational (but neither irrational nor whole/an integer)

it would be 0.2 + 2.5 = 2.7 btw

or

1/5 + 5/2

= 2/10 + 25/10

= 27/10

Answer:

i think isA

Step-by-step explanation:

Answer:

Apple Cost: $1.10

Orange Cost: $1.05

Three oranges and two apples cost: $5.35

Step-by-step explanation: