20 POINTS
Find the volume of the prism.

Answer:

Step-by-step explanation:

I can tell you what it represents, but not what it means. Or maybe the units.

V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.

V = 4/3 * pi * r^3

V(5/7) = 4/3 * 3.14 * (5/7)^3

V(5/7) = 4/3 * 3.14 * 125 / 343

V(5/7) = 4/3 * 3.14 * 0.3644

V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)

Answer:

-2a +4

Step-by-step explanation:

-6a + 2(2a + 2)

Distribute

-6a +4a +4

Combine like terms

-2a +4

Answer:

Answer A is correct

Step-by-step explanation:

First Solve the brackets

[tex] - 6a + 2(2a + 2) \\ - 6 a+ 4a + 4[/tex]

Then combine like terms

[tex] - 6 a+ 4a + 4 \\ - 2 a + 4[/tex]

Answer:

x ≈ 15.66

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

x × sin50° = 12 ( divide both sides by sin50° )

x = [tex]\frac{12}{sin50}[/tex] ≈ 15.66 ( to the nearest hundredth )

Answer:

7/9

Step-by-step explanation:

2/9+5/9=7/9

Answer:

74.8% approximately

Step-by-step explanation:

Area of circle is pi×r^2=pi×4^2=16pi=50.27 approximately

Area of pentagon (assumption regular pentagon)=5/2×apothem×side length=5/2(3.2)(4.7)=37.6

So the probability that it lands in the red is 37.6/50.27 approximately =74.8% approximately

Answer:

35/40

Step-by-step explanation:

To compare, both denominator should be same.

[tex]\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}[/tex]

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

⠀⠀⠀⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

we have to find the greater number between 15/20 and 35/40

To do this,

we have to compare the denominator same.

According to the question,

we have to find the greatest one

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

⠀⠀

[tex]\therefore\mathrm{\dfrac{35}{40} > \dfrac{15}{20} }[/tex]

⠀⠀

Answer:

y=1x-5

Step-by-step explanation:

it goes over to the right 1 time and down 5

(1+1,6-5)=(2,1)

Answer:

linear

Step-by-step explanation:

the graph in the above equation is linear function

Answer:

D=Only the first equation is an idenity

Step-by-step explanation:

Answer:

the center is -1,1 and the radius is 4 i think

Step-by-step explanation:

Given:

The equation of a linear function is:

[tex]y=-\dfrac{2}{3}x-1[/tex]

To find:

The y-intercept and slope of the given equation, then draw the graph of the equation.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept

We have,

[tex]y=-\dfrac{2}{3}x-1[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{2}{3}[/tex]

[tex]b=-1[/tex]

Therefore, the y-intercept is -1 and the slope of the line is [tex]-\dfrac{2}{3}[/tex].

It means the graph intersect the y-axis at point (0,-1) and having slope [tex]-\dfrac{2}{3}[/tex]. So, the graph of the equation is shown below.

Answer:

62°

Step-by-step explanation:

Answer:

Between 12.8 and 12.9

Step-by-step explanation:

Firstly, we would need to get the value of the surd

So we have this as;

2 √41 = 12.81

Now, looking at the options, we can see that it lies between 12.8 and 12.9; this is our answer

Answer:

addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)

muliplcation one is: (4x)(1/4)=(3) (1/4)

subtracting one is: 3x-4+4=12+4

division one is: 55/11 = 11x/11

Step-by-step explanation:

Hope this helps and good luck :)))

Answer:

772,400,000

Step-by-step explanation:

Hope This Helps :) :) :)

the answer is in the picture

The congruent arcs are P Q and S R

In geometry, congruent refers to equality, agreement in form.

Given:

< P T Q = < S T R

since they are congruent they are equal therefore arcs formed from them are congruent .

Arcs formed from them

Read more on congruent here: https://brainly.com/question/2938476

Answer:

3.7 feet

Step-by-step explanation:

A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618

If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft

= 3.7 (to the nearest tenth)

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

Answer:

36

Step-by-step explanation:

63/(7/4) 63 divided by 7/4

63* 4/7 63 multiplied by 4/7

=36 answer is 36

Answer:

3520 steps

Step-by-step explanation:

The first thing we must do is figure out how many inches are in a mile. (There are 63,360 inches in one mile). With that out of the way, we can now divide these inches by 18, since each of Eric's steps are 18 inches long, and we want to determine how many steps he would have to take. 63,360 divided by 18 is 3520. This means our answer is 3520 steps, and that is how many steps he must take to walk 1 mile. I hope you understood and please let me know if you still need help!

Answer: 3520 steps

Step-by-step explanation:

Use proportions and set x = number of steps in a mile:

[tex]\frac{1}{18 in}=\frac{X}{63360 in}[/tex]

18x = 63360

x = 63360 ÷ 18 = 3520 steps.

Answer:

it is 20 vecause I say so yeah hey guts

Answer:

the answer is a

tell me if it’s rite or wrong I did the work as best as I could

f(10) is undefined.

"It is the set of points on the coordinate plane which satisfies the given function."

For given question,

We need to find the value of a function at x = 10.

We can observe that, when x = 10, the function value 2 is denoted by an open circle.

This means the function do not have value 2 when x = 10

Therefore, f(10) is undefined.

Learn more about the function here:

https://brainly.com/question/13461298

#SPJ2

Answer:

I45

Step-by-step explanation:

Answer:

y = -1/3x + 14/3

Step-by-step explanation:

We have the standard equation as;

y = mx + b

where m is the slope and b is the y-intercept

the given points are;

(-1,5) and (2,4)

So we plug x and y for each of the points

then we create two linear equations which we can solve simultaneously to get the values of m and b

From the points;

5 = -m + b•••••••(i)

4 = 2m + b

from i;

b = 5 + m

substitute this into equation ii

4 = 2m + 5 + m

4 = 3m + 5

4-5 = 3m

3m = -1

m = -1/3

Recall;

b = 5 + m

b = 5-1/3

b = 14/3

so we have the equation as;

y = -1/3x + 14/3

Multiply through by 3

3y = -x + 14

Answer:

There are 7 blue flowers.

Step-by-step explanation:

Total flowers: 30

Use the chart to find the red, white, and yellow flowers.

Red: 8

White: 10

Yellow: 5

Find the sum of the these three colored flowers:

8 + 10 + 5

23

Find the difference between the total flowers and the sum of the three colored flowers:

30 - 23

7

7 blue flowers

Answer:

-x²-2x+3

Step-by-step explanation:

The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)

Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it

writing this in vertex form we get

-a(x+1)²+4

Where a is some constant

solve for a by plugging in (0,3)

3= -a(0+1)²+4

3= -a+4

-1= -a

a=1

therefore the equation looks like

-(x+1)²+4

expanding this so that it's in stantard form...

-(x²+x+x+1)+4

-x²-2x+3

which is the final answer

Answer:

[tex]2187[/tex]

Step-by-step explanation:

[tex] {3}^{7} \\ = (3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3) \\ = 2187[/tex]

Answer:

2187

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

81*3=243

243*3=729

729*3=2189

Answer:

1134

Step-by-step explanation:

We have 3 digits:

a, b, c

a 3 digit number can be written as:

a*100 + b*10 + c*1

Such that these numbers can be:

{1, 2, 3, 4, 5, 6, 7, 8, 9}

Let's assume that:

a < b < c

Then the 3 smaller numbers are:

a*100 + b*10 + c

a*100 + c*10 + b

b*100 + a*10 + c

The 3 larger numbers are:

b*100 + c*10 + a

c*100 + a*10 + b

c*100 + b*10 + a

We know that the sum of the 3 smaller numbers is equal to 540, then:

(a*100 + b*10 + c) + (a*100 + c*10 + b) + (b*100 + a*10 + c) = 540

Let's simplify this:

(a + a + b)*100 + (b + c + a)*10 + (c + b + c) = 540

(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540

The sum of the 3 larger numbers is equal to X, we want to find the value of X:

(b*100 + c*10 + a) + (c*100 + a*10 + b) + (c*100 + b*10 + a) = X

Now let's simplify the left side:

(b + c + c)*100 + (c + a + b)*10 + (a + b + a)*1 = X

(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X

Then we have two equations:

(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540

(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X

Notice that the terms are inverted.

By looking at the first equation, we can see that:

(2c + b) = 10    (because the units digit of 540 is 0)

Then, we can see that:

(b + c + a + 1 ) = 14   (the one comes from the previous 10)

finally:

(2a + b + 1) = 5   (the one comes from the previous 14)

Then we can rewrite:

(2*c + b) = 10

(b + c + a) = 14 -1  = 13

(2a + b) = 5 - 1 = 4

Now we can replace these 3 in the equation:

(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X

(10)*100 + (13)*10 + 4 = X

1000 + 130 + 4 = X

1134 = X

The sum of the 3 largest numbers is 1134.

Answer:

20 degrees.

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees. One of them, bottom right, is already shown as 70 degrees. You can find the bottom left angle by subtracting 110, the supplementary angle, from 180 (the number of degrees in a straight line). The top angle, 2x, is equal to 40 degrees. (180-70-70 = 40). 40/2 = x, so x = 20 degrees.

Answer:

$140,000

Step-by-step explanation:

Value of lottery = $1,500,000

Man's ratio = 41

Wife's ratio = 34

Total ratio = 41 + 34 = 75

Man's share = Man's ratio / Total ratio * Value of lottery

= 41/75 * $1,500,000

= 0.5466666666666 * $1,500,000

= $820,000

Wife's share = wife's ratio / total ratio * Value of lottery

= 34/75 * $1,500,000

= 0.4533333333333 * $1,500,000

= $680,000

Difference between the man's share and his wife's share

= Man's share - wife's share

= $820,000 - $680,000

= $140,000