What is the volume of a sphere with a diameter of 3.2 m, rounded to the nearest tenth
of a cubic meter?

Answer:

48

Step-by-step explanation:

Split it into 2 right triangles flip one around and you have a rectangle who's area is equal to 10x6.

a=6

c=2

b=?

Solve for b:

Answer:

4,600

Step-by-step explanation:

92,000/8= 11500

11500 x 4= 46000 to his wife

11500 for the son

92000-57500= 34500

34500/5= 6,900 each charity

11500-6900= 4600 is how more he is getting than each charity

Answer:

4600 more money

Step-by-step explanation:

92000 ÷ 8 = 11500

1 part to his son

3(11500)= 34500

34500 ÷ 5 = 6900

11500-6900= 4600

Answer: 6

Step-by-step explanation:

16x + 4 = 15x + 10

X = 6

Answer:

20.93cm

Step-by-step explanation:

The shape of the solid is rectangle

Area = length × width

But the width (w) = 2 times the length minus 2

W = 2L - 2

A = L × (2L - 2)

Area of the rectangle = 182cm²

A = 2L² - 2L

182 = 2L² - 2L

2L² - 2L - 182 = 0

L² - L - 91 = 0

Solving the equation using quadratic formula,

A = 1, b = -1, c = -91

L = [-b±√(b² - 4ac)]/2a

L = [-(-1) ± √((-1)² - 4*1*(-91))] / 2(1)²

L = [1 ± √(1² + 364)] / 2

L = [1 ± √(365)] / 2

L = (1 ± 19.10) / 2

Note : Since we're working with length, we can't have a negative value as a solution hence we would not test both sides

L = (1 + 19.10) / 2 = 10.05cm

Width = 2L - 2

W = 20.1 - 2 = 18.10cm

Length = 10.05cm

Width = 18.10cm

Diagonal of the rectangle = ?

To find the diagonal, we'll use pythagorean theorem,

A = diagonal

B = length

C = width

a² = b² + c²

a² = (10.05)² + (18.10)²

a² = 110.25 + 327.61

a² = 437.86

a = √(437.86)

a = 20.93cm

The diagonal of the rectangle is 20.93cm

Answer:

C is (-18, 24)

Scale factor --> 1 1/3

A is (9, - 4 1/2)  *4 1/2 is also 4.5

Brainliest please, I need a few more :D

The true statement are; The coordinates of C prime are (–18, 24). The scale factor is 1 1/3 . The coordinates of A are (9, –4.5).

Dilation of a figure will leave its sides get scaled (multiplied) by same number.

Thus, suppose if a rectangle is dilated, and its sides were of length = L and width = W, then its dilated version would be having length = Ln, and width = Wn where n is the factor of scaling.

At image B (-24, -12) and pre image B (-18, -9),

we can work out the scale factor by (-24/-18) and (-12/-9) both equal 4/3

Using the scale factor to go from the pre image to the image,

We can find C coordinate by pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

So, The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A;

A is (12/(4/3)) and (-6/(4/3))

A is (9, - 4 1/2)

Hence, the true statement are;

The coordinates of C prime are (–18, 24).

The scale factor is 1 1/3 .

The coordinates of A are (9, –4.5).

Learn more about dilation here:

https://brainly.com/question/27212783

#SPJ5

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Answer:

x=-7,y=10,p=53°,k+w=90°,k=45°,w=45°

Step-by-step explanation:

hope this helps

Answer:

0

Step-by-step explanation:

If y=x then there is no change so the answer will always be 0

Answer: 0

Explanation: y=x then there is no change so the answer will always be 0. Mark Me Brainiiest, please.......

Answer:

397

Step-by-step explanation:

67 + 90 + (40 x 6)

PEMDAS

Parentheses first

67 + 90 + 240

Then add

157+240

397

Answer:

24

Step-by-step explanation:

6(4) = 24

Answer:

24

Step-by-step explanation:

Answer:

Omg i legit thought i had the answer

Step-by-step explanation:

Hi! I am very sorry I don't know the answer but I hope you figure it out soon!

Answer:

-3

Step-by-step explanation:

To find the common ratio

Take the second term and divide by the first

6/-2 = -3

Check by taking the third term and dividing by the second

-18/6 = -3

And the fourth and dividing by the third

64/-18 = -3

The common ratio is -3

Answer:

-3

Step-by-step explanation:

-2(-3)=6

6(-3)=-18

etc...

Answer:

The first choice is correct

Step-by-step explanation:

$32.00 x 15% = 4.80. 32.00-4.80=27.20. Another way to work it is the first choice, subtracting 15% from 100% and then multiplying 85% by $32.00. Same answer

Answer:

[tex]\sqrt{89}[/tex]

Step-by-step explanation:

distance = [tex]\sqrt{(x_{2}- x_{1})^{2} + { (y_{2} - y_{2} } ){^2} }[/tex]

Let:

(x₁ , y₁) = (0 , 5)

(x₂ , y₂) = (8 , 0)

Plug in the corresponding numbers to the corresponding variables:

Remember to follow PEMDAS. Solve the parenthesis first:

distance = [tex]\sqrt{(8- 0)^{2} + { (0 - 5 } ){^2} }[/tex]

distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]

Solve for the powers next:

distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]

distance = [tex]\sqrt{64 + 25}[/tex]

Simplify:

distance = [tex]\sqrt{64 + 25}[/tex]

distance = [tex]\sqrt{89}[/tex]

~

Answer:

choosing two socks from a drawer of black and white socks without replacement

Step-by-step explanation:

Dependent events have results that depend on each other.  When I take one sock out, there are less socks in the drawer to pick from.  The probability of picking a certain sock changes because the number of socks are different when I do not put the sock back.  That makes the events dependent.

When I put the sock back, the  probability goes back to what it was before I took the sock, and now the results do not depend on each other, so when they are replaced, they are independent

Answer:

choosing two socks from a drawer of black and white socks without replacement

Step-by-step explanation:

choosing two socks from a drawer of black and white socks without replacement are dependent events because the available options for the second selection depends on which colour was the first sock

Answer:

129 = QRX

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

49+80 = QRX

129 = QRX

Answer:

129°

Step-by-step explanation:

Exterior angle = sum of interior angles

Angle QRX = 49 + 80

= 129°

Answer:

x = 7

Step-by-step explanation:

We can use ratios to solve

3x-6            10

----------   = -------------------

12+(3x-6)        10+8

Simplifying

3x-6            10

----------   = -------------------

(3x+6)        18

Using cross products

18(3x-6) = 10(3x+6)

Distribute

54x - 108 = 30x +60

Subtract 30x from each side

54x-30x -108 = 60

24x -108 = 60

Add 108 to each side

24x = 60+108

24x = 168

Divide each side by 24

24x/24 = 168/24

x =7

Answer:

Y=9000(1.09)^X

Step-by-step explanation:

Answer:

43.01m^2

Step-by-step explanation:

[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]

This is the formula for a pentagon

Answer:52.2in

Step-by-step explanation:

Did it on a test and got it correct

Answer:

Area = 28.27 cm^2 when the radius is 3cm

Answer:

Step-by-step explanation:

Answer:

4a^2−6b^2+2 so B

Step-by-step explanation:

Answer: X= -1

Step-by-step explanation:

Subtract 10 from both sides.

then Divide both sides by -5.

Answer:

By 4 dollars so the final price is 14$

Step-by-step explanation:

Answer:She raised the price $4.

Step-by-step explanation: Multiply 10 and .40 to get $4.

Answer:

Point B is equal to cos(160)

Step-by-step explanation:

160 deg is 160 deg counter-clockwise angle from +x-axis.

Hope this helps!

:)

Answer:

x coordinate of point B

Step-by-step explanation:

yw

Answer:

1 acute angle

2 acute angle

Step-by-step explanation:

less than 90° acute angle

more than 90° obtuse angle

90° right angle

Answer: Option C.

Step-by-step explanation:

A function goes trough the x-axis when f(x) = 0 for some value of x.

For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:

a*x^2 + b*x + c = 0

are complex roots, this means that for the function:

f(x) = y = a*x^2 + b*x + c

there is not a real number x such f(x) = 0

So the correct option is C.

The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.

The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,

[tex]y=f(x)[/tex]

Here, x is the roots of the function.

For no value of x-intercepts, the function become,

[tex]y=0[/tex]

[tex]f(x)=0[/tex]

Here, the zeros and roots are the same, where function become equal to zero.

Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

Learn more about the x-intercept here;

https://brainly.com/question/8018800

Answer:

5

Step-by-step explanation:

The rate of change is the slope

y = 5x

The slope is the constant in front of the x

The constant rate of change is 5