PLEASE HELP Ruri is a 30-year-old math teacher. She has been informed that she is the winner of a grand prize for the lottery. She can choose either a one-time payment of $20 million or $5000 per week for the rest of her life. Which choice would most likely result in the greatest amount of winnings for Ruri? Explain your reasoning.

All sides are equal in an equilateral triangle and the perpendicular bisects the side too.

so BC will be bisected and the segments be 5 each.

you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.

[tex] 5^2+h^2=10^2[/tex]

$h^2=100-25=75$

$h=\sqrt{75}=5\sqrt3$

Answer:

infinitely many solutions / all real numbers

Step-by-step explanation:

distribute the 4 on the left side of the equation

4 • x = 4x

4 • 2 = 8

4x + 8 - 1 = 4x + 7

combine like terms

4x + 7 = 4x + 7

0 = 0

since this expression is true, there are infinitely many solutions

Answer:

  cos(x) = Ten-fifteenths

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the relation between the adjacent side and the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 10/15

Answer:

c

Step-by-step explanation:

0Answer:

A

Step-by-step explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

Okay which class.are you first thing is that .. ok tell me then fast.

Answer:

99% confidence interval will be wider because as the level of confidence increase the width increases as well and the standard error decreases

Step-by-step explanation:

The  confidence interval is directly proportional to the sample size  hence the 99% confidence interval will be wider than the 95% confidence interval of the sample of 120 college students

using a 99% confidence interval gives a more accurate result than a 95% confidence because the standard error decreases with increase in confidence interval

Using angle sum property

[tex]\\ \sf\longmapsto x+44+29=180[/tex]

[tex]\\ \sf\longmapsto x+63=180[/tex]

[tex]\\ \sf\longmapsto x=180-63[/tex]

[tex]\\ \sf\longmapsto x=117°[/tex]

The angle sum property of a triangle:

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 44 \degree \: + \: 29 \degree \: = \: 180 \degree[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 73 \degree \: = \: 180 \degree[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 180 \degree \: - \: 73 \degree \:[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 107 \degree[/tex]

Answer:

1.3

Step-by-step explanation:

bc for each time x increases by 1, it multiplies by 1.3

i cant think of any other way to explain it

but   i hope this helped :D

Answer:

1.3 times

Step-by-step explanation:

f(x)= 68 (1.3) ^x

it, means each year, the expected number of squirrels is 1.3 times, the number the year before.

x=0 so, f(0)=68

New x=1, so f(1)= 68(1.3)¹

= 68 × 1.3

f (1)= f(0) × 1.3

So, 1.3 times

OAmalOHopeO

Answer:

see explanation

Step-by-step explanation:

Since the player was sold for less than what was paid then a loss is made.

loss = 3500 - 2500 = 1000

percent loss = [tex]\frac{loss}{cost}[/tex] × 100% , thus

percent loss = [tex]\frac{1000}{3500}[/tex] × 100% ≈ 28.6% ( to 1 dec. place )

Answer:

x=115

Step-by-step explanation:

180 - (115) =65(triangle)

65 + x = 180(on a line)

x=180-65

x = 115

Answer:

115 degrees

Step-by-step explanation:

the person above me is right, but there is an easier way.

Just add 50 and 65 degrees and boom you have your answer.

Answer:

Step-by-step explanation:

Let S be the sample space, n(S) = 60

a) Let A be the event that the selected athlete uses

s less than a minute, n(A) = 59

The probability that a randomly selected athlete uses less a minute,  P(A) = n(A)/n(S) = 59/60 = 0.9833

b) 1 - 0.9833 = 0.0167

c)  1 - 1 = 0

Answer:

6

Step-by-step explanation:

78

Answer:

[tex]f(x)=x+6 \\[/tex]

Step-by-step explanation:

The transformation is a translation 6 units up.

[tex]f(x)=x+6 \\[/tex]

We can use the parent function f(x)=x, which is a linear function to graph this function.

Then just translate the function 6 units up.

Answer:

on the x-axis to the left -1 and on the y-axis up 4

Step-by-step explanation:

Start from the -2 on the y-axis and go up on the y-axis 6 times and you should be at 4 on the y-axis. But to finish the problem you have to figure out the first line.

To do that start from the -2 on the y-axis then count up till its on a corner in the graph (rise 4 up on the y-axis then to the right once) so the fraction is 4/1

so rise 6 on the y-axis, you should be at 4 then use the formula rise/run 4/1

step 1 go up 6 times y-axis

step 2 use 4/1 rise from the 4 on the y-axis the run 1 to the right

It was 100% when I did it

Answer:

Step-by-step explanation:

5.

volume=l×w×h=8×6×7=336 mi³

6.

diameter=16 yd

radius=16/2=8 yd

[tex]volume=\frac{4}{3} \pi \times 8^3=\frac{2048}{3} \pi \approx 2144.67 \approx 2144.7 yd^3[/tex]

Answer:

384 cm^2

Step-by-step explanation:

Start with the prism (I multiply by 2 because some of the surfaces are more of):

The Triangular Prism (I divide by 2 because it is a triangle shape on the sides):

The Last Step (adding everything):

120+180+24+12+18+30=384

Answer:

140 degrees

Step-by-step explanation:

first start by making the given angles equal each other because they are congruent.

2x+28=6x+4

Subtract 4 on both sides

2x+24=6x

subtract 2x on both sides

24=4x

divide both sides by 4 to get x

24/4=4x/4

6=x

next to find the actual number of the angle, plug 6 back into either one of the equations. Im gonna use the first one.

2x + 28

2(6) + 28

12+28= 40

Now that we have the number, we already know that a full circle is 360 degrees so half a circle is 180.

Take 40 and subtract from 180

180-40= 140

Well, m∠1 and m∠3 are congruent by the Vertical Angle Congruent Theorem (VACT). This means that because the angles are opposite of each other, their angles are the same because they are formed by the same two intersecting lines.

Because of this, we can set m∠1 and m∠3 equal to each other:

m∠1 = m∠3

(2x + 28) = (6x + 4)

2x + 28 = 6x + 4

-4x + 28 = 4

-4x = -24

-x = -6

x = 6

Knowing that x equals 6, we can use this to find m∠2. By the Supplementary Angles Theorem (SAT), angles that are on the same line add up to equal 180°. To use the SAT, we need to plug x in to find m∠1 or m∠3, because they are both the same:

x = 6

m∠1 = (2x + 28)

m∠1 = 2(6) + 28

m∠1 = 12 + 28

m∠1 = 40°

m∠3 also equals 40°.

Now that we have the value for ∠1 (or ∠3), we can use the SAT:

m∠2 + m∠3 = 180 ← You could also use m∠1, because they both equal the same!

m∠2 + 40 = 180

m∠2 = 140°

So, the measure of ∠2 is 140°.

If you have any questions, feel free to ask! :)

Answer:

Step-by-step explanation:

area of base=6×6=36 m²

surface area of four walls=4×6×12=144 m²

area of top= area of four triangles=4×1/2×6×5=60 m²

total surface area=36+144+60=240 m²

Answer:

21.758

Step-by-step explanation:

If you draw the triangle out, you find that cos 41 = x/28.83, when x is equal to the side opposite the 49 angle

Simplify this into 28.83 cos 41, and plug it into the calculator and you get

21.75827.

Answer:

There's no chart below

Step-by-step explanation:

Answer:

6.2 coins he will have

Step-by-step explanation:

its the anwser on han i go it wrong :( the first time and 12 was the anwser!

Answer:

$119.335

Step-by-step explanation:

8.23 per hour

14h 30 mins = 14.5 hrs

8.23*14.5 = 119.335

Answer:

238.67

Step-by-step explanation:

Answer:

f (-3)

since -3 is between-4 and -2 for every value of x y is 2

Answer:

h=6

Step-by-step explanation:

Answer:

parallel lines

Step-by-step explanation:

Lines IJ and KL are parallel. Since in a dilation there is no rotation, a line becomes either the same line or a parallel line.

Answer:

First, an irrational number is a number that has infinite digits after the decimal point, in such way that those digits do not form any pattern.

The irrational set is called a dense set, wich means that in between two elements of the set, we can find infinite other elements of the set.

For example, between 1 and 2, we have

1.12312412513513532....

1.123224124312432432....

and between those two numbers, we can find infinite irrational numbers, and so on.

Then between -12 and +49, we have infinite irrational numbers.

Answer:

-5.55 - 4.2c

Step-by-step explanation:

-5.55 - 8.55c + 4.35c

'-8.55c' and '4.35c' are like terms because of them containing the same variable of 'c'.

Combine:

-5.55 - 8.55c + 4.35c

-5.55 - 4.2c

Hope this helps.

Answer:

ok I really suck at math, but I think you may have to multiply the x/y to get the whole area of the circle. so maybe itd be 10x25. I'm sorry if this isnt correct

Answer:

2/(a-4b) is the required ans

check the attachment for help

[tex]9 \geqslant w \\ \\ - 7 \leqslant w[/tex]

"9 is greater than or equal to w" translates to [tex]9 \ge w[/tex] which flips to [tex]w \le 9[/tex]. We swap both sides and flip the inequality sign as well.

"-7 is less than or equal to w" translates to [tex]-7 \le w[/tex]

We have [tex]-7 \le w[/tex] and [tex]w \le 9[/tex] which then ultimately combine into the compound inequality [tex]-7 \le w \le 9[/tex]