You are in line at a ticket window. There are two more people ahead of you than there are behind you. The number of people in the entire line (don’t forget to count yourself!) is three times the number of people behind you. How many people are ahead of you in line, and how many are behind you?

Answer:

Answer is -5!

Step-by-step explanation:

Answer: x = -5

Explanation:

6-x-x=16

6-2x=16

6-6-2x=16-6

-2x=10

-2x/-2=10/-2

x = -5

Answer:

∠ CDE = 134°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × 4 = 720°

let ∠ BCD = x then ∠ CDE = 2x

sum the angles and equate to 720

121 + 144 + 129 + 125 + x + 2x = 720 , that is

519 + 3x = 720 ( subtract 519 from both sides )

3x = 201 ( divide both sides by 3 )

x = 67

Then

∠ CDE = 2x = 2 × 67 = 134°

Answer:

Step-by-step explanation:

You want the lengths of sides marked 'a' and 'b' in the given right triangle figure.

All of the triangles in the figure are similar to each other. This gives rise to some proportional relations that are useful for solving this problem.

short side/long side = 6/8 = a/6

  8a = 36 . . . . . . cross multiply

  a = 36/8 = 4.5

long side/hypotenuse = 8/10 = 6/b

  8b = 60 . . . . . . . cross multiply

  b = 60/8 = 7.5

The lengths 'a' and 'b' are 4.5 and 7.5, respectively.

__

Additional comment

These are sometimes given as "geometric mean" relationships:

  6 = √(8·a)

  b = √(a·(a+8))

  10 = √(8·(8+a))

where √(pq) is the geometric mean of p and q.

Another way to solve this is to recognize the given triangle is a 3-4-5 right triangle. The other similar triangles will have these same ratios:

  3 : 4 : 5 = a : 6 : b   ⇒   a = 3(6/4) = 4.5, b = 5(6/4) = 7.5

<95141404393>

440d=60t            it would take jimmy 7.33 hours to get home if he drove at a constant rate of 60 Miles Per Hour

Answer:

x = −8

Step-by-step explanation:

Given:

The function g(t) represents the amount of caffeine remaining in your body after drinking the coffee.

[tex]g(t)=130(.8246)^t[/tex]

where t is time in hours.

To find:

The caffeine remains in your system after day 1.

The caffeine remains in your system after day 2.

Solution:

We know that,

1 day = 24 hours.

2 day = 48 hours.

The given function is

[tex]g(t)=130(.8246)^t[/tex]

Substitute t=24 in the given function to find the remaining caffeine in the system after day 1.

[tex]g(24)=130(.8246)^{24}[/tex]

[tex]g(24)=130(0.00977)[/tex]

[tex]g(24)=1.2701[/tex]

Therefore, the remains caffeine in your system after day 1 is about 1.2701.

Substitute t=48 in the given function to find the remaining caffeine in the system after day 1.

[tex]g(48)=130(.8246)^{48}[/tex]

[tex]g(48)=130(0.000095)[/tex]

[tex]g(48)=0.01235[/tex]

[tex]g(48)\approx 0.0124[/tex]

Therefore, the remains caffeine in your system after day 1 is about 0.0124.

Answer: for one day, it’s 0.0124

Step-by-step explanation:1d=24h

g(24)

Answer:

15

Step-by-step explanation:

Answer:

tan T = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

using the identity

tan T = [tex]\frac{sinT}{cosT}[/tex] = [tex]\frac{0.8}{0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

9 and 135

Step-by-step explanation:

The GCF is 9, and 135 is divisble by 9. The GCF of a standalone number is itself, and the aforementioned divisibility of 135 by 9 rules 9 as one of the numbers. Since 9 is a multiple of 135, and 9 can multiply to be 135, this makes the second number 135.

Answer:

∠1 = 137

∠2 = 43

∠3 = 137

Step-by-step explanation:

∠2 and 43 are alternate interior angles.

Alternate interior angles are equal.

So,

∠2 = 43.

∠1 and ∠3 are also alternate interior angles,

So,

∠1 = ∠3

∠1 and 42 are linear pair angles.

Sum of linear pair angles is 180,

∠1 + 42 = 180

∠1 = 180 - 43

∠1 = 137

Since,

∠1 = ∠3

So,

∠3 = 137

Hence,

∠1 = 137

∠2 = 43

∠3 = 137

Note : -

Alternate interior angles and linear pair angles are properties of angles.

And are applicable when two lines intersect or more than two lines interest.

Hey there!

How to calculate Surface area

Step 1: Find the area of the top and the base triangles using the formula, Area of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh).

Step 2: Find the product of the length of the prism and the perimeter of the base triangle which will give the lateral surface area = (S1 + S2 + h) × l.

Step 3: Add all the areas together to get the total surface area of a right triangular prism in square units. This means, total surface area of a right triangular prism = (S1 + S2 + h) × l + bh

⇒ SA = (12 + 15 + 9) × 6 + (12)(9)

⇒ SA = (36)(6)+(108)

⇒ SA = 324 square units

Thus, the surface area of the right triangular prism is 324 square units.

cylinder volume = base area x height

                           = pi x r² x h

                           ≈ 3,14 x 7² x 10 ≈ 1500

Answer:

12

Step-by-step explanation:

Answer:

The answer i as c

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Angle A: 52.5

Angle B: 68.9

Angle C: 58.6

Step-by-step explanation:

Brainliest?

:)

Answer:

x = 29, y = -63

Step-by-step explanation:

Solve the following system:

{4 y + 11 x - 67 = 0 | (equation 1)

{2 y + 5 x - 19 = 0 | (equation 2)

Express the system in standard form:

{11 x + 4 y = 67 | (equation 1)

v5 x + 2 y = 19 | (equation 2)

Subtract 5/11 × (equation 1) from equation 2:

{11 x + 4 y = 67 | (equation 1)

{0 x+(2 y)/11 = -126/11 | (equation 2)

Multiply equation 2 by 11/2:

{11 x + 4 y = 67 | (equation 1)

{0 x+y = -63 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{11 x+0 y = 319 | (equation 1)

{0 x+y = -63 | (equation 2)

Divide equation 1 by 11:

{x+0 y = 29 | (equation 1)

{0 x+y = -63 | (equation 2)

Collect results:

Answer: {x = 29, y = -63

Answer:

[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}4y+11x-67=2\\ y+5x-19=0\end{bmatrix}[/tex]

Isolate y for 4y+11x-67=2:

[tex]y=\frac{-11x+69}{4}[/tex]

[tex]\mathrm{Substitute\:}y=\frac{-11x+69}{4}[/tex]

[tex]\begin{bmatrix}\frac{-11x+69}{4}+5x-19=0\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}\frac{9x+69}{4}-19=0\end{bmatrix}[/tex]

Isolate x for [tex]\frac{9x+69}{4}-19=0:[/tex]

[tex]x=\frac{7}{9}[/tex]

[tex]\mathrm{For\:}y=\frac{-11x+69}{4}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{7}{9}[/tex]

[tex]y=\frac{-11\cdot \frac{7}{9}+69}{4}[/tex]

[tex]\frac{-11\cdot \frac{7}{9}+69}{4}=\frac{139}{9}[/tex]

[tex]y=\frac{136}{9}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]

Answer:

40

Step-by-step explanation:

4 right angled triangles

Answer:

10 in

Step-by-step explanation:

Volume of a Cylinder :

V = pi r² h

h = V / pi r²

h = 10,000pi / pi 32²

simplify pi

h = 10,000/1024 = 9.76

h = approx 10 in

Answer:

(-2, 10)

Step-by-step explanation:

All you have to do is add 4 to -6 and add 5 to 5. Since it was moved 4 units down and 5 units left, that means that those numbers were subtracted from the original coordinates. Although you are trying to find the original points, so instead you add 4 and 5 to the coordinates you have right now.

I hope that makes sense!

Answer:

(15 + 6) · t = 81

Answer:

the table of values?

Step-by-step explanation:

Answer:

15 minutes

Step-by-step explanation:

2 hours equals 120 minutes.

so if you divide 120 by 1/8 you get 15

which would be the amount of time she spent playing the trumpet.

Hope this helps!! :)