Find the area of this circle

Answer:

a) 28,770 ÷ 10 ^ 2  = 287.7

b) 28,770 ÷ 10 ^ 3  = 28.77

c) 28,770 ÷ 10 ^ 4  = 2.877

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Answer:

Jane is 12 years old.

Harvey is 36 years old.

Step-by-step explanation:

The explanation is attached.

Answer:

m∠AKD = 46°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Measure of <AKG = 133°

So,

<AKG = <AKD + <DKG (As both together combine to form one <AKG as shown)

=> 133° = <AKD + 87°

=> <AKD = 133° - 87°

=> <AKD = 46° (Ans)

Answer:

Step-by-step explanation:

A year has 12 months. 3 years have 36 months.

Total amount = 36 * 300 + 1000

Total amount = 10800 + 1000

Total amount = 11800

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

Answer:

r = 5

Step-by-step explanation:

Sine trigonometric ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

The sides of a triangle are opposite their angles.  Therefore, in ΔPQR:

⇒ side r is opposite angle R

⇒ side p is opposite angle P

⇒ side q is opposite angle Q

Using the given ratio of sin Q:

[tex]\sf \implies \sin Q=\dfrac{q}{H}=\dfrac{2}{5}[/tex]

Substitute the given value of q = 6 and solve for H:

[tex]\sf \implies \dfrac{6}{H}=\dfrac{2}{5}[/tex]

[tex]\sf \implies H=6 \cdot\dfrac{5}{2}[/tex]

[tex]\sf \implies H=15[/tex]

Using the given ratio of sin R:

[tex]\implies \sf \sin R=\dfrac{r}{H}=\dfrac{1}{3}[/tex]

Substitute the found value of H and solve for r:

[tex]\implies \sf \dfrac{r}{15}=\dfrac{1}{3}[/tex]

[tex]\implies \sf r=15 \cdot\dfrac{1}{3}[/tex]

[tex]\implies \sf r=5[/tex]

Learn more about trigonometric ratios here:

https://brainly.com/question/26861422

https://brainly.com/question/27938163

Answer:

probability is 32/52 or about 0.615

Step-by-step explanation:

There are 12 face cards

of the remaining 52 - 12 = 40 cards, half of them are black

so 12 + 40/2 = 32 cards would be considered successful

Answer:

The balloon is rising at a rate of 50π/3 feet per minute.

Step-by-step explanation:

A weather balloon is rising vertically while being observed from a point who is exactly 300 feet away from the spot directly beneath the ground.

This is represented in the diagram below.

We want to find the rate at which the balloon is rising (i.e. find dh/dt) when the angle between the ground and the observer is π/6 (i.e. when θ = π/6), and is increasing at a rate of π/24 radians per minute (i.e. when dθ/dt = π/24).

Write a ratio relating the variables:

[tex]\displaystyle \tan \theta = \frac{h}{300}[/tex]

Take the derivative of both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\left[ \tan\theta\right] = \frac{d}{dt}\left[ \frac{h}{300}\right][/tex]

Implicitly Differentiate:

[tex]\displaystyle \sec^2\theta \cdot \frac{d\theta}{dt} = \frac{1}{300} \frac{dh}{dt}[/tex]

Substitute in known values:

[tex]\displaystyle \sec^2 \left(\frac{\pi}{6}\right) \left(\frac{\pi}{24}\right) = \frac{1}{300} \frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]\displaystyle \begin{aligned} \frac{dh}{dt} &= 300\left(\sec^2\left(\frac{\pi}{6}\right)\left(\frac{\pi}{24}\right)\right) \\ \\ &= 300\left(\frac{4}{3}\right)\left(\frac{\pi}{24}\right) \\ \\ &= \frac{50\pi}{3} \text{ feet per minute}\end{aligned}[/tex]

In conclusion, the balloon is rising at a rate of 50π/3 feet per minute.

Answer:

56 chocolate chips will be used with 40 cookies.

Step-by-step explanation:

14 chocolate chips = 10 cookies

? chocolate chips = 40 cookies

Variable x = number of chocolate chips for 40 cookies

14/10 = x/40

Cross multiply:

14 × 40 = 10 × x

560 = 10x

56 = x

Answer:

As per given domain and range we can conclude that:

Here

[tex]\\ \sf\longmapsto Domain=(0,\infty)[/tex]

[tex]\\ \sf\longmapsto Range=(1,\infty)[/tex]

The function has positive integral values as it lies in 1st Quadrant

[tex]\\ \sf\longmapsto (x,y)=(1,\infty)[/tex]

Answer:

y = 4x - 3

Step-by-step explanation:

Slope intercept form is made up of these components:

    The question gives you the slope and the y-intercept. Now all you need to do is substitute the values for the variables. Therefore, the equation is y = 4x - 3.

Answer: The highlighted digit 8 is in the tens place. The value of the 8 is 80

Step-by-step explanation:

The value of the 8 is 80 becuse it is in the tens place.

Answer : 72

Step-by-step explanation:

It's above in the pic .

Answer:

[tex]thank \: you[/tex]

Step-by-step explanation:

The answer is mentioned above.

Answer:

the answer is that one tells about nomadic responses

while the other talks about seramic responses

multiply x with x:

5×-8= -40

multiply y with y:

-4×7=-28

Answer:

(-40,-28)

Answer:

83°

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

Answer:

83

Step-by-step explanation:

Answer:66.5 degrees

Step-by-step explanation:

9514 1404 393

Answer:

  p = 12

Step-by-step explanation:

The sines of the opposite angles are the same, so the lengths of the sides are the same.

  p = 12

_____

The law of sines tells you ...

  p/sin(P) = r/sin(R)

  p/0.2 = 12/0.2 . . . . . . substitute given values

Multiply by 0.2 to get ...

  p(0.2/0.2) = 12(0.2/0.2)

  p = 12

We look for constants a and b such that

[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac a{2x-1} + \frac b{x-2}[/tex]

Rewrite all terms with a common denominator and set the numerators equal:

[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)}{(2x-1)(x-2)} + \frac{b(2x-1)}{(x-2)(2x-1)} \\\\ \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)+b(2x-1)}{(2x-1)(x-2)} \\\\ \implies 7x-8 = a(x-2) + b(2x-1) = (a+2b)x - 2a - b[/tex]

Then

a + 2b = 7

-2a - b = -8

Solve for a and b. Using elimination: multiply the first equation by 2 and add it to the second equation:

2 (a + 2b) + (-2a - b) = 2(7) + (-8)

2a + 4b - 2a - b = 14 - 8

3b = 6

b = 2

Then

a + 2(2) = 7   ==>   a = 3

and so

[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac 3{2x-1} + \frac 2{x-2}[/tex]

Answer:

a=3

b=2

Do whatever you want with that information^^

Answer:

1. PN

Step-by-step explanation:

Answer:

1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42 = 7/49 = 8/56 = 9/63 = 7/10

Step-by-step explanation:

Answer:

15 units

Step-by-step explanation:

that is the answer yep

Answer:

9.2

Step-by-step explanation:

it said it

Answer:

(fog)(x) =x –14

(gof)(x) =x

Step-by-step explanation:

[tex](fog)(x) = f(g(x)) \\ = 8( \frac{x - 7}{8} ) - 7 \\ = x - 7 - 7 \\ = x - 14[/tex]

[tex](gof)(x) = g(f(x)) \\ = \frac{(8x - 7) + 7}{8} \\ \\ = \frac{8x}{8} \\ \\ = x[/tex]

Answer:

range =(7,2,4,2,1)

if my answer helps you than mark me as brainliest.

9514 1404 393

Answer:

  I and II

Step-by-step explanation:

The inequality ...

  3x +10 ≥ 2

has solutions ...

  3x ≥ -8 . . . . . . . . subtract10

  x ≥ -2 2/3 . . . . . divide by 3

Of the answer choices {-1, 3, -11}, the ones that are greater than -2 2/3 are ...

  -1, 3 . . . . . . I and II only

Answer:

x=4

Step-by-step explanation:

5+3x=17

-5        -5

3x=12

3       3

x=4

Answer:

x = 4

Step-by-step explanation:

[tex]5+3x=17\\\\3x=12\\\\x=4[/tex]