A letter is chose at random from the word PROGRESSIVENESS. Find the probability that the letter is an E, given it is a vowel.
2/5
4/15
1/5
3/5

Answer: 30 ft

hope this helped :)

Answer:

complement angle = 52 + 38 = 90°

supplement angle = 47 + 133 = 180°

Step-by-step explanation:

[tex]here \: is \: your \: solution \: \\ measure \: of \: one \: angle \: = 52 \\ let \: the \: other \: angle \: be = x \\ \\ x \: + 52 \: = 90 \\ x \: = \: 90 - 52 \\ x \: = 38 \\ now \: second \: question \\ x + 47 = 180 \\ x = 180 - 47 \\ x = 133 \\ hope \: it \: helps[/tex]

A = 50.24

To find the area of a circle we can use the following equation

[tex]A = r^2\pi \\A = 4^2\pi \\A = 16\pi \\\\A = 16*3.14\\A = 16*3.14\\\\A = 50.24[/tex]

Answer:

x = minutes of Tori's podcast = 88 minutes

y = minutes of Wendy's podcast = 129 minutes

Step-by-step explanation:

Let

x = minutes of Tori's podcast

y = minutes of Wendy's podcast

40x + 16y = 5,584 (1)

27x + 11y = 3,795 (2)

Multiply (1) by 11 and (2) by 16

440x + 176y = 61,424 (3)

432x + 176y = 60,720 (4)

Subtract (4) from (3) to eliminate y

440x - 432x = 61,424 - 60,720

8x = 704

x = 704/8

x = 88

Substitute x = 88 into (1)

40x + 16y = 5,584 (1)

40(88) + 16y = 5,584

3,520 + 16y = 5,584

16y = 5,584 - 3,520

16y = 2,064

y = 2,064/16

y = 129

x = minutes of Tori's podcast = 88 minutes

y = minutes of Wendy's podcast = 129 minutes

Answer:

Step-by-step explanation:

[tex]x^2 + 3x - 3 = 0\\a=1\,,\ \ b=3\,,\ \ c=-3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-3)}}{2\cdot1}=\dfrac{-3\pm\sqrt{9+12}}{2}=\dfrac{-3\pm\sqrt{21}}{2}\\\\x\approx0.79\quad or\quad x\approx3.79[/tex]

Answer:

a set of cars can be bought in one way

1 different way

Answer:

A

Step-by-step explanation:

Kavita is x years old, so 10 years later, her age will be x years plus the next ten. Or, x + 10.

To check this, let's suppose Kavita is 17 years old. In 10 years, she'll be 27.

Substitute the x for our hypothetical age, 17, and our answer, 27, and calculate.

x + 10 = 27

17 + 10 = 27

27 = 27

The equation is true, so we have a true statement. The answer is A, x + 10.

Good luck :)

Answer:

C: 36

Step-by-step explanation:

There are 3 pairs of shoes. They all cost the same. Since these shoes add up to 108 dollars, they basically multiply by three to get to 108. (3x=108) If you want to figure out the cost of one shoe you just have to reverse the process by using division. So just do simple division by dividing 108 by three (108/3=x) and there is your answer, 36.

Answer:

20% de 240=20×240÷100= 48 practican deporte

Answer:

3 more arrivals

Step-by-step explanation:

Answer:

Slope is -2.8 so D

Step-by-step explanation:

I got -14/5 which converted is -2.8

Answer:

The ladder will reach a height of 9.8 foot

Step-by-step explanation:

Given

Initial Position

[tex]L = 25ft[/tex] --- Length of the ladder

[tex]h = 15ft[/tex] --- height against the wall

New position

[tex]L = 25ft[/tex] --- Length of the ladder

[tex]B = 3ft[/tex] --- 3 feet farther from the wall

Required

Determine the new height the ladder will reach

The question is illustrated using the attached image.

Where

[tex]\triangle ABC[/tex] represents the initial position of the ladder

[tex]\triangle DBE[/tex] represents the new position of the ladder

The new height is represented with BD

Using Pythagoras theorem on [tex]\triangle DBE[/tex]

[tex]DE^2 = BE^2 + BD^2[/tex]

[tex]BE = BC + CE = 20 + 3 = 23[/tex]

[tex]BD = x[/tex]

[tex]DE =25[/tex] --- length of the ladder

So, the expression becomes

[tex]25^2 = 23^2 + x^2[/tex]

[tex]625 = 529 + x^2[/tex]

Collect like terms

[tex]x^2 = -529 + 625[/tex]

[tex]x^2 = 96[/tex]

Take positive square roots of both sides

[tex]x = \sqrt{96[/tex]

[tex]x = 9.8ft[/tex] --- approximated

Answer:

9.8 FT

Step-by-step explanation:

its right

Answer:

Step-by-step explanation:

k stands for 1000

Answer:

Solution given:

12.2k - 4.000

12.2×1000-4.000

=12196 is your answer.

Answer: x - 16

Step-by-step explanation:

Since there were x cupcakes at the beginning of a party and at the end of the party, 16 of them had been eaten, the expression for the number of cupcakes that were left will be gotten by subtracting the number of cupcake that have been eaten from the cupcakes at the beginning. This will be:

= x - 16

For example, if there were 20 cupcakes at the beginning and 16 was eaten, the number left will be:

= x - 16

= 20 - 16.

= 4

There'll be 4 left

Answer:

16

Step-by-step explanation:

0.5x + 2 = 10

         -2    -2

    0.5x =8

 divide both sides by 0.5

     x = 16

Answer:

Step-by-step explanation:

Put the data in the ascending order:

Sum the 3 lowest numbers:

Sum the 3 highest numbers:

Subtract the sums:

Step-by-step explanation:

That probability is 1/6 (one in six).  Certainly this outcome could happen, but the probability that it won't happen is 1 - 1/6, or 5/6.  Answer C is correct.

Answer:

the opposite Angles sum up to give 180

Step-by-step explanation:

3y +3y = 180

y=30

if y = 30 the x = 55

are you clear?

Answer:

3y+3y=180°{sum of opposite angle of parallelogram are supplementary}

6y=80

y=180/6

y=30°

again,

4y-65+x=180°{ sum of of opposite angle of parallelogram are supplementary }

4×30-65+x=108

x=180-55

x=125

so to make quadrilateral as parellogram

Answer:

70

Step-by-step explanation:

the formula for area of a trapezoid is (a+b)/2*h, where a and b each equal a base and h represents height. the base measurements of this figure are 9 and 11, and the height is 7 inches. in the formula, that is (9+11)/2*7. first, 9+11 is 20, divided by 2 is 10. 10*7=70, so the area is 70 in^2.

Answer:

Step-by-step explanation:

Here we can see

Arc YZ = Arc XZ

So we know that equal arcs form equal chords , Then

Chord YZ = Chord XZ

8x - 5 = 6x + 10

8x - 6x = 10 + 5

2x = 15

x = 7.5

hope it helps :0

Answer:

Plan ahead for medical expenses.

Spend your money.

Save your receipts.

Use your FSA to pay expenses your health plan doesn't cover.

Use your FSA to reach health plan financial milestones.

Know what your FSA covers.

Know your FSA balance.

Step-by-step explanation:

Answer:

Okay so I just took the FSA and my biggest tip is  to just relax and don't overthink. Another tip that is kinda weird is to  chew gum/mint. They normally hand it out to you but stopped for coronavirus.  It helps you focus and it helps calm you. Make sure you double check your answers and if you don't know a question go back over it and re read it.  Also pay attention to other questions because sometimes a question from the same passage helps you with a previous one.  You're going to do well and good luck!

Step-by-step explanation:

Answer:

2x = 80. On dividing both sides by 2, we obtain. x = 40. x + 15 = 40 + 15 = 55. Hence ... Let the three consecutive multiples of 8 be 8x, 8(x + 1), 8(x + 2). Sum of ... Number after interchanging = 10 × 3x + x = 30x + x = 31x.

Answer:

33, 34, 35

Step-by-step explanation:

Semiprimes are the product of 2 prime numbers, then

11 × 3 = 33

17 × 2 = 34

7 × 5 = 35

your answer should be three.

~iwa-chan

Answer:

B. All real numbers greater than or equal to  1971 and less than or equal to 2001.

Step-by-step explanation:

Correct me if I'm wrong

Answer:

Step-by-step explanation:

Answer:

point A is (0.75, 0.75)

Step-by-step explanation:

Answer:

24°

Step-by-step explanation:

Complementary angles are the angles whose measurements equal to 90°

To find the complement of 66 you subtract it from 90

90 - 66 = 24

Answer: Slope of segment EF is -4/3

Answer:

The answer is -3/4

Step-by-step explanation:

:)