Find the value of x in each figure

Answer:

a. option is the correct answer

Answer:

[tex]134.041\ \text{in}^3[/tex]

Step-by-step explanation:

r = Radius of sphere = Radius of basketball = 4 inches

h = Height of cylinder = 8 inches

Volume of unoccupied space will be the difference in volume between the cylinder and the basketball

[tex]\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3[/tex]

Unoccupied volume in the container is [tex]134.041\ \text{in}^3[/tex].

Answer:

b

Step-by-step explanation:

Answer:

no not even if its supposed to be a negative

Step-by-step explanation:

Answer:

88.3

I just think so

I dont have a 20 letter explantion

Answer:

5 hours

Step-by-step explanation:

The pool will be completely drained when y = 0

0 = -4,000x + 20,000

subtract 20,000 from both sides

-20,000 = -4,000x

divide both sides by -4,000

x = 5

Have a good day!

Answer:

5 hours.

Step-by-step explanation:

When it is drained y will be = to zero, so

-4000x + 20000 = 0

-4000x = -20000

x = -20000/ -4000

= 5.

Answer:

The probability that she would succeed is 1/2

Step-by-step explanation:

Firstly. we have to calculate the area of the board

That would be the area of the rectangle

This is the product of the base and the height which is 50 cm * 40 cm = 2,000 cm^2

The area of the triangle is the area of the base and the height divided by 2

we have this as;

1/2 * 50 * 40 = 1,000 cm^2

The probability would be the area of the triangle divided by the area of the board

This is because she is aiming at the triangle while having the whole board to work against

This is 1,000 cm^2/2000 cm^2 = 1/2

Answer:

3m × 4m:

Yellow flower: 12

Bush: 6

Total: 18

3m × 5m:

Yellow flower: 15

Bush: 8

Total: 23

Step-by-step explanation:

Answer:

Two possible lengths for the legs A and B are:

B = 1cm

A = 14.97cm

Or:

B = 9cm

A = 12cm

Step-by-step explanation:

For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.

Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:

A^2 + B^2 = H^2

If we know that H = 15cm, then:

A^2 + B^2 = (15cm)^2

Now, let's isolate one of the legs:

A = √( (15cm)^2 - B^2)

Now we can just input different values of B there, and then solve the value for the other leg.

Then if we have:

B = 1cm

A = √( (15cm)^2 - (1cm)^2) = 14.97

Then we could have:

B = 1cm

A = 14.97cm

Now let's try with another value of B:

if B = 9cm, then:

A = √( (15cm)^2 - (9cm)^2) = 12 cm

Then we could have:

B = 9cm

A = 12cm

So we just found two possible lengths for the two legs of the triangle.

2 Answers:

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

Answer:

La gráfica con la rectas citadas se encuentran contenidas en la imagen adjunta.

Step-by-step explanation:

Dado que las rectas [tex]r[/tex] y [tex]s[/tex] son polinomios de primer orden, basta con conocer dos puntos distintos de cada una:

Recta r

[tex]A(x,y) = (0, 0)[/tex], [tex]B(x,y) = (1, 2)[/tex]

Recta s

[tex]C(x,y) = (0, 1)[/tex], [tex]D(x,y) = (1, 3)[/tex]

A continuación, ubicamos los puntos en un plano cartesiano y trazamos las rectas respectivas:

Answer:

18.1

The thing You NEEDED to do

Answer:

yes

Step-by-step explanation:

a square is a rectangle but a rectangle is not a square

meaing that a square is a rectangle but not all rectangles are squares

Answer:

20%

Step-by-step explanation:

5 numbers in total, only 1 option = 1/5

-Gage Millar, Algebra 2 tutor

Answer:

ummmmm 12.......................

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

hai-

Answer:

11 cups

Step-by-step explanation:

Answer:

11 cups

Step-by-step explanation:

3 + 3 + 2 + 1 + 2 = x

6 + 3 + 2 = x

6 + 5 = 11

11 cups

or you can just solve directly.

--Applepi101

Answer:

Option (1)

Step-by-step explanation:

Given expression is,

[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]

Let the given expression is equal to y.

[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]

By applying logarithmic rule,

[tex](\frac{w^2}{w^6} )=w^y[/tex]

[tex]w^2\times w^{-6}=w^y[/tex]

[tex]w^{2-6}=w^y[/tex]

[tex]w^{-4}=w^y[/tex]

[tex]y=-4[/tex]

Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].

Option (1) will be the correct option.

Answer:

11.7 ft

Step-by-step explanation:

Remember the notation SOHCAHTOA

We would be using tan because we have been given the adjacent and we are to determine the opposite value

tan 40 = opposite / adjacent

0.8391 = opposite / 8

opposite = 0.8391 x 8

6.7

Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Please find attached a diagram explaining this question

Answer:

15 times i think

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

(-1,2) (1, -2)

√(x2 - x1)² + (y2 - y1)²

√[1 - (-1)]² + (-2 - 2)²

√(2)² + (-4)²

√(4) + (16)

√20

= 4.5

Answer:

3.927rad

Step-by-step explanation:

Answer:

Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption

Step-by-step explanation:

the correct answer is A

15 x 35

Answer:

A

Step-by-step explanation:

let width be w , then length l = w + 20

perimeter = 2w + 2l

                 = 2w + 2(w + 20) , so

2w + 2w + 40 = 100

4w + 40 = 100 ( subtract 40 from both sides )

4w = 60 ( divide both sides by 4 )

w = 15 and l = 15 + 20 = 35

Dimensions are 15 ft by 35 ft → A

Answer:

please check explanations

Step-by-step explanation:

Min stands for the minimum value

This is the smallest value

Looking at the numbers, the minimum value is 1

Q1 is the lower quartile

We have the formula as;

Q1 = (n + 1)/4

where n is the number of terms and that is 10

Q1 = (10 + 1)/4 = 11/4 = 2.75

This is approximately 3 and that means the the lower quartile is the third term and that is 6

Median is the middle value and that is;

(12 + 13)/2 = 25/2 = 12.5

Q3 is the third quartile and that is;

Q3 = 3(n + 1)/4 = 33/4 = 8.25

The third quartile is the 8th term and that is 14

Max is the highest number and that is 19

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²