When a kite is 22 m above the ground, it makes an angle of 43° with the horizontal. How much string was released? *

Answer:

Volume = 2,143.57 mm³

Step-by-step explanation:

Given:

radius (r) = 8 mm

π = 3.14

Required:

Volume of the sphere

Solution:

Volume of the sphere = ⁴/3πr³

Plug in the values

Volume = ⁴/3 × 3.14 × 8³

= ⁴/3 × 3.14 × 512

= 6,430.72/3

Volume = 2,143.57333

Volume = 2,143.57 mm³ (nearest hundredth)

Answer:

do it yourself kid.

Step-by-step explanation:

Answer: 37, [tex]\frac{x+2}{7}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]

now,

[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]

for x=2

[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]

Inverse of [tex]f(x)[/tex] is given by

[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]

Answer:

d = 162

a = 18

e = 144

g = 78

b = 18

s = 162

h = 84

e = 81

Step-by-step explanation:

Trust

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]

Answer:

A. $47,403.20

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this, the question is about Simple Interest, so the formula is PRT

p- principal (the amount of money you started with)

r- (rate, also the percentage)

t- time (the amount of time it says, in years or so)

So, they had $45,580

Multiply that by 4%, and 4% is 0.04 so multiply 0.04 x 45,580 = 1,823.20. So, the answer is D

Hope this helps!!

-Ketifa

Answer:

To find the area, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

Step-by-step explanation:

hope it helps

please mark brainliest

Answer:

A = $4,035.13

Step-by-step explanation:

Given: 380 earns, 128.25 in 7 years and 6 months

To find: The rate percent per annum

Formula: [tex]A = P(1 + rt)[/tex]

Solution: I = A - P = $3,655.13

Equation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 128.25%/100 = 1.2825 per year.

Solving our equation:

A = 380(1 + (1.2825 × 7.5)) = 4035.125

A = $4,035.13

The total amount accrued, principal plus interest, from simple interest on a principal of $380.00 at a rate of 128.25% per year for 7.5 years is $4,035.13.

Answer:

a

Step-by-step explanation:

Answer:

CA=P+2Q

Step-by-step explanation:

Answer:

wha- I have no idea what your saying

Answer:

distance or circumference= 2πr

2× 3.14× 3958.75

nb I got the radius by dividing the diameter by two

= 24,869.95

to hundreth = 24900

Answer:

Multiply by -2

Step-by-step explanation:

Additive inverse essentially means the counterpart that negates a number. Then, elimination can be used. In this case, the easiest change would be with the terms -4y in the first equation, and -2y in the second equation, since 2 is a factor of 4. So,

3x - 4y = -5

5x - 2y = -6

The goal here is to cancel out the -4y.

(5x - 2y)(-2) = (-6)(-2)

-10 + 4y = 12

3x - 4y = -5

Now it works.

Answer:

y=6x-38

Step-by-step explanation:

That's the answer for C

Answer:

height of cone is 1.5 2 feet

hope it helps.

Answer:

D

Step-by-step explanation:

Answer:

I can't see it bc it's not close enough but since it's (2,5) D should be right. If it's not right, then sorry ;-;

D. because each day =34 and it is 5days 5×34= 170 so the answer is more than 4 gallons

Answer:

356.93sq. cm

Step-by-step explanation:

Area of the composite figure = Area of rectangle + Area of semicircle

Area of rectangle = length * wiidth

Area of rectangle =  14cm * 20cm

Area of rectangle = 280 sq. cm

Area of semicircle = πr²/2

Area of semicircle = 3.14(7²)/2

Area of semicircle  = 3.14 * 49/2

Area of semicircle  = 76.93 sq. cm

Hence the area of the figure = 280 + 76.93

Hence the area of the figure = 356.93sq. cm

Hello~

Here!

7 + 3.5

Ary~

Answer: x = 3

Step-by-step explanation:

-10x - 2y = -30

3x + 2y =9

use elimination method...

-2y and 2y = 0

-10x = - 30

3x = 9

add together...

-7x = -21

solve...

x= 3

Answer:

1.3 + 1.3 = 2.6

2.6 x 2.2 = 5.72

5.72 divided by 2 = 2.86

2.86 x 2 = 5.72

Answer: the answer is the second one.

Step-by-step explanation:

add

Answer:

$1.50 will be your answer!

Step-by-step explanation:

3x+3=5x

3x+3-5x-3=5x-5x-3

-2x=-3

x=1.5

Answer:

A

Step-by-step explanation:

Answer:

i think its like:

see that middle angle there, thats a 90° angle and straight linea measure 180°. so add 90 + 21 and subtract from 180

Answer:

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Step-by-step explanation:

[tex]-> 0=2x^2-2x-15[/tex]

-zeros means the solution aka x intercept, meaning y=0

[tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}[/tex]

=> according to quadratic formula

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

where [tex]ax^2+bx+c=0[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}[/tex]

simplify

[tex]x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}[/tex]

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Cannot simplify farther

Answer: 5

Step-by-step explanation:

Given

The length of a side is [tex]x+3\ cm[/tex]

The height of a triangle is [tex]2x-5\ cm[/tex]

Area of triangle is [tex]20\ cm^2[/tex]

Area of triangle is given by

[tex]\Rightarrow A=\dfrac{1}{2}\times \text{base}\times \text{height}[/tex]

[tex]\Rightarrow A=\dfrac{1}{2}\times (x+3)\times (2x-5)\\\\\Rightarrow 40=(x+3)\times (2x-5)\\\Rightarrow 2x^2+x-55=0\\\\\Rightarrow x=\dfrac{-1\pm \sqrt{1^2-4(2)(-55)}}{2(2)}\\\\\Rightarrow x=\dfrac{-1\pm 21}{4}\\\\\Rightarrow x=-5.5,5[/tex]

Neglecting negative value

Therefore, the value of x is 5.

Answer:

1/3

Step-by-step explanation:

since number 2 card was not replaced, we have;

probability of picking a second card, 3;

let S be number of sample space

n(S)= 4

n(3)= 1

Pr(3/2)= 1/3

(because since one was already chosen and n, the sample space would reduce)