HELPPPP!!!! The starting and finish lines for a race in Sullivan are 1.6 inches apart on a map of the course. If the scale of the map is 8 inches = 5.5 miles, then what is the actual distance between the starting line and the finish line?

Answer:

1

3814697265625

Decimal Form:

2.62144 ⋅ 10 / 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = L * W * H

L = 12

W = 6

H = 6

Volume = 12 * 6 * 6

Volume = 432 cubic feet

Answer:

432 cubic feet

Step-by-step explanation:

To find the volume of a retangular prism or a rectangle you use L x W x H so that would be 12 x 6 x 6 which is 432. So the volume is 432 cubic feet

Answer:

Marika's calculation is correct

Step-by-step explanation:

Lori has erroneously identified a common ratio of the geometion sequence

one has to divide subsequent term by the preceding term as was correctly by Marika. so Marika's calculation is correct.

hope it helps...

have a great day !!!

Answer:

45units²

Step-by-step explanation:

Triangle area = (1/2)(base length)(perpendicular height)

= (1/2)(6)(15)

=3(15)

=45units²

Answer:

11.53 degrees.

Step-by-step explanation:

ok so we know the hyp and opp sides. this means that it is sin. according to SOHCAHTOA we do sin^-1(2/10). you should get 11.53

Answer:

11.5396°

Step-by-step explanation:

Please see the attached image

We can do sin(x)=2/10, which simplifies to sin(x)=1/5

To get x by itself do [tex]x=sin^{-1}[/tex](1/5) which ≈11.5396°

Answer:

they are adding by 3 1 and 0

Step-by-step explanation:

Answer:

Step-by-step explanation: Mean= 400/15 =26.6

Median = 27

Mode= 35 - 16 =19

No

Answer:

(3,4)

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

sin: [tex]\frac{opposite}{hypotenuse}[/tex]

sin: [tex]\frac{CB}{AC}[/tex] = [tex]\frac{5}{11}[/tex]

For triangle ABC, sin(A) = 5/11

"If the angle measure less than 90° then it is an acute angle."

For a right triangle,

sin(theta) = opposite side/hypotenuse

where theta is an acute angle.

For given example,

we have been given a right triangle ΔABC

Since ∠B = 90°, ∠A and ∠C must be an acute angles.

⇒ sin(A) = BC/AC

⇒ sin(A) = 5/11

and sin (C) = AB/AC

⇒ sin(C) = (4√6)/11

Therefore, sin(A) = 5/11

Learn more about sine of angle here:

https://brainly.com/question/15141309

#SPJ2

Answer:

26. $46.75

27. $4.80

28. $32.00

29. $3.60

Answer:

110 degrees

Step-by-step explanation:

Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6

Answer:  Jenny was faster by 116.17

Step-by-step explanation: Jenny: 809.03 meters a minute

Johnny: 692.86 meters a minute

Answer:

1.2

I t is the answer

Answer: (3,-3)

Step-by-step explanation:

Answer:

3,528.57142857

Step-by-step explanation:

Answer:

[tex]3528\frac{4}{7}[/tex]

Step-by-step explanation:

13 × 95 ÷ 0.35

1235 ÷ 0.35

[tex]3528\frac{4}{7}[/tex]

9514 1404 393

Answer:

  -368.8 ft

Step-by-step explanation:

distance = velocity × time

Here, we'll use a negative for speed downward, and positive for speed upward.

  elevation = (-4.5 ft/s)(98 s) +(1.9 ft/s)(38 s) = -441 ft +72.2 ft

  elevation = -368.8 ft

9514 1404 393

Answer:

  12 or 103

Step-by-step explanation:

The given angle is opposite the shorter side, so there will be two solutions.

In order to find f, we need to know angle F. We can find that by first finding angle E.

  E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°

  F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}

Then the measure of f is ...

  f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})

  f = {103.29, 11.59}

Side f is either 12 or 103.

Answer:

Step-by-step explanation:

Find ∠E

Find m∠F

Find f

Answer:

6 hours.

Step-by-step explanation:

To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.

Answer:

6 hours

Explanation:

240/40= 6

Answer:

x ≈ 80.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{300}[/tex] ( multiply both sides by 300 )

300 × tan15° = x , then

x ≈ 80.4 ( to the nearest tenth )

9514 1404 393

Answer:

  (d)  x-4

Step-by-step explanation:

If we assume your answer choices are ...

  (a) 5 -x = 5 -4 = 1

  (b) 1/2x = 1/2(4) = 2

  (c) x +1 = 4 +1 = 5

  (d) x -4 = 4 -4 = 0

Then the last choice (d) x -4 has the smallest value at x=4.

Take an arbitrary interval [a, b], where a < b.

Compute the arc length L of y = f(x) over [a, b] :

[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]

Now comptue the area A under the curve y = f(x) over [a, b] :

[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]

We have

f (x) = 1/4 e ⁻ˣ + e ˣ   →   f ' (x) = -1/4 e ⁻ˣ + e ˣ

Then

√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)

… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)

… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)

… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)

… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)

… = 1/4 (e ⁻ˣ + 4 e ˣ)

… = 1/4 e ⁻ˣ + e ˣ

… = f (x)

so both A = L for any choice of interval [a, b].

It is true that the arc length on any interval has the same value as the area under the curve.

The function is given as:

[tex]f(x) = \frac 14e^{-x} + e^x[/tex]

Differentiate the function

[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]

On any interval, the following must be true

[tex]f(x) =f'(x)[/tex]

and

[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]

So, we have:

[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]

Expand the exponents

[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]

Remove the bracket

[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]

Evaluate the like terms

[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]

Multiply by 16/16

[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]

So, we have:

[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]

Take the square root of 1/16

[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]

Express the radical as a perfect square

[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]

Evaluate the exponents

[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]

Evaluate the products

[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]

Hence, it has been proved that  the arc length on any interval has the same value as the area under the curve.

Read more about areas at:

https://brainly.com/question/24487155

Answer:

m = -4/5

Step-by-step explanation:

We need to find the slope of the line that passes through the points (3, 1) and (-2,5).

The slope of the line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put x₁ = 3, x₂ = -2, y₁ = 1 and y₂ = 5

Put all the values,

[tex]m=\dfrac{5-1}{-2-3}\\\\=\dfrac{4}{-5}\\\\=\dfrac{-4}{5}[/tex]

So, the correct option is (b).

75m+500

You have the 500 as the initial amount and the 75m is how much juan adds each month

YEAH OFC SHAWTY!

I cant do 2 right now, but i will in a minute

And for 3 his mistake is that they arent the same bases so he cant add the powers, he should have converted them to the same base first.

Answer:

k = -5

Step-by-step explanation:

f(9) = 2/3*9 +k

f(9) = 6+k

k = -5

Answer:

b) 9.99 + 1.29n ≤ 50

Step-by-step explanation:

  I think,  this question is incomplete., may be there is typo. To complete the question, it's suppose to be like this  

a)9.99 + 1.29n ≥ 50

b)9.99 + 1.29n ≤ 50

c)9.99 − 1.29n  ≤ 50

d)9.99 − 1.29 n ≥ 50

well,  we have to figure out  the information given  

price of the album: $9.99

each song cost : $1.29

gift card: $50

number of songs : n

The answer  is b) 9.99 + 1.29n  ≤ 50 , because the sum of the price of the album ($9.99) and the songs ($1.29 n) must be less or equal to the value of the gift card ($50). Fore sure it 's correct.....

Answer:

296

Step-by-step explanation:

Answer:

plz rate 5star accept my efforts

+ thanks :)