A gardener has 3 pounds of compost. She will split the compost into 8 garden beds equally. How many pounds of compost will she put in each garden bed?

Answer:

r = 9

Step-by-step explanation:

[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.

[tex] \therefore OP\perp QP[/tex]

[tex] \therefore m\angle OPQ = 90\degree [/tex]

So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32

Now, by Pythagoras theorem:

[tex] OQ^2 = OP^2 + PQ^2 [/tex]

[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]

[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]

[tex] \therefore 64r = 1600-1024 [/tex]

[tex] \therefore 64r = 576 [/tex]

[tex] \therefore r = \frac{576}{64}[/tex]

[tex] \therefore r = 9[/tex]

Answer:

Step-by-step explanation:

its nba and kyrie

Answer:

nba aND KYRIE

Step-by-step explanation:

Answer:

its C bro

its have to be 1-sin2x

because (sinx-cosx)² equal sin²x+cos²x-2×sinx×cosx

Answer:

do you have the picture I actually understand it if I see it in pictures .

Answer: 541.32 miles

Step-by-step explanation:

First find the speed of the train in miles per hour.

1 hour 20 minutes needs to be converted to decimal:

= 1 20/60

= 80/60

= 1.33 hours

Speed is:

= Distance / Time

= 120/ 1.33

= 90.22 miles an hour

If the train is traveling 6 hours at the above speed, it will travel:

= Speed * time

= 90.22 * 6

= 541.32 miles

Answer:

solution given :

centre (h,k)=(3,-2)

another point (a,b)=(4,-6)

now

radius =[tex] \sqrt{(3-4)²+(-2+6)²} [/tex]=√17

We have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x-4)²+(y+6)²=17 is a required equation.

Answer:

B

Step-by-step explanation:

since a²+b²=c²

this is proven correct in answer B

As;

(8^0.5)² +(3)²=(17^0.5)²

Answer:

part A: x= 1 and x= 3/2

part B: minimum at (5/4, f(5/4))

Step-by-step explanation:

part A: factoring

0 = 2x^2 - 5x + 3

= (2x^2 - 2x)(-3x + 3)

= 2x(x - 1) -3(x-1)

= (2x - 3)(x - 1)

x= 1 and x= 3/2

part B: candidates test

find the derivative of the function.

f(x) = 2x^2 - 5x + 3

f'(x) = 4x -5

solve for critical numbers.

0 = 4x - 5

x = 5/4

candidates test by plugging in numbers into the derivative to see if that area is negative or pos.

f has a minimum at x = 5/4 because f' goes from neg to pos there. to find the coordinate for x = 5/4 just plug it into the original function to find f(5/4).

Part C: to draw the graph, I'd just plot the vertex coordinate that you solved for in part B, then I would plot the x intercepts that you solved for in part a, from there just draw a line throu the 3 points. (it should look like a U shape)

Answer:

Conjunction

Step-by-step explanation:

Have a good day :)

Answer:

[tex]Conjuction[/tex] (๑・ω-)～♥”

Answer:

189

Step-by-step explanation:

To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.

567 divided by 3 = 189

I hope this helps :DDDDDDDDDDD

here: :)

I did the work, and basically i solved for the area of the faces and then multiplied that by two to get the total surface area of the faces. Then I added in the areas of the sides connecting the two faces:

just as a referral: the formulas to find the faces are as follows:

rectangle: length times width

circle: pi x r^2

trapezoid: h(base1 + base2)

and triangle: (b x h)/2

Answer:

Its removable

Step-by-step explanation:

yes

this is a removable discontinuity

Here we have the piecewise function:

[tex]f(x) = \frac{-4x}{x - 3}[/tex]     if x < 5

[tex]f(x) = -7x + 25[/tex]    if x > 5.

We want to see which type of discontinuity we have at x = 5.

Remember that:

If we have two asymptotes, then is an infinite discontinuity

if just one point is missing, then it is a removable discontinuity

If the value drastically changes after the discontinuity, then its a jump discontinuity

Mixed case is when two of these happen.

Because we have a piecewise function, we need to evaluate both parts in x = 5.

If both parts give the same value, then we will have a removable discontinuity

if the values are different, then we have a jump discontinuity.

first part:

f(5) = -4×5/(5 - 3) = -20/2 = -10

second part:

f(5) = -7×5  + 25 = -35 + 25 = -10

So we got the same value, which means that this is a removable discontinuity

in the image below you can see the graph of the piecewise function, and see that as x tends to 5, both sides of the function tend to the same value.

if you want to read more about this,, you can see:

https://brainly.com/question/17317969

Answer:

Multiplication

Step-by-step explanation:

I believe 2x2 would have a sum of 4.

Answer:

Addition

Step-by-step explanation:

Sum means add

difference mean subtract

of mean multiply

By mean divide

have a great day!

Answer:

X=-2, y=-7

Step-by-step explanation:

Answer:

a. 5/12

Step-by-step explanation:

there are 5 vowels out of 12 letters

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

Answer:

its C

Step-by-step explanation:

5x+2+4x-3=9x-1

hopefully its helpful

Answer:

A

Step-by-step explanation:

correct on edge

Answer:

A) [-1,1]

Step-by-step explanation:

The function of y=cos⁻¹(x) has a domain of [-1,1] and a range of [0,π]. Observe the graph.

Answer:

(7, 5)

Step-by-step explanation:

Right = movement on the x axis

X coordinate - 1

+6 units to the right = 7,5

(Keep y axis)

Answer:

(7,5)

Step-by-step explanation:

Answer:

247

Step-by-step explanation:

0.52x475=247

i hope this helps :)

Answer:

The answer is 247 because 52% of 475 is 247

Answer:

3 1/8 divided by 3/4 = 4 1/6. basically 5 containers.

Answer:

66

Step-by-step explanation:

Since these two events are independent, multiply the two probabilities together:

6*11 = 66 (choices)

Answer: 3:5

Step-by-step explanation: heres the answer

Answer:

The area of the semi-circle is 35.8 cm².

Step-by-step explanation:

The length of the arc is given by:

[tex] s = r\theta [/tex]   (1)

Where:

s: is the length of the arc of semi-circle = 15 cm

r: is the radius

θ: is the angle in radians    

Since we need to calculate the area of the semi-circle, the angle is:

[tex] \theta = \frac{360}{2} = 180 = \pi [/tex]  

From equation (1) we can find the radius:

[tex] r = \frac{s}{\theta} = \frac{15}{\pi} [/tex]    

Now, the area of the semi-circle is:              

[tex] A = \frac{\pi r^{2}}{2} = \frac{\pi (\frac{15}{\pi})^{2}}{2} = 35.8 cm^{2} [/tex]

Therefore, the area of the semi-circle is 35.8 cm².

I hope it helps you!                          

Answer:

15 degrees

Step-by-step explanation:

Because you add 115 and 50 to get 165. And we know that a triangles angles when added up will equal 180. So you subtract 180 and 165 to get 15 degrees, your missing angle!

Hope this helps!