FORT JEFFERSON The outer wall of Fort Jefferson, which was originally constructed in the mid-1800s, is in the shape of a hexagon with an area of about 466,170 square feet. The length of one side is about (Hint make a quick sketch) 477 feet. The inner courtyard is a similar hexagon with an area of about 446,400 square feet. Calculate the length of a corresponding side in the inner courtyard to the nearest foot. O A. About 467 ft. O B. About 437 ft. O C, About 487 ft. O D. About 457 ft.
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Answer:

The equation will be "[tex]y=-2.8 x+75[/tex]".

Step-by-step explanation:

The given values are:

Started with,

= 75 gallons

After 15 hrs,

Tank has,

= 33 gallons

Now,

The slope will be:

=  [tex]\frac{33-75}{15}[/tex]

=  [tex]\frac{-42}{15}[/tex]

=  [tex]-2.8[/tex]

Thus,

The equation is "[tex]y=-2.5x+75[/tex]".

Answer:

A4t = m - R²

A=m/4t-R²/4t or (m-R²)/4t or 1/4 +(m-R²)/t

Answer:

the answer for this problem is x^2+2x-15

Step-by-step explanation:

(x+5)(x-3)

x(x-3)+5(x-3)

x^2-3x+5(x-3)

x^2-3x+5x-15

=x^2+2x-15

Answer:

m= 10,000(1+.05)^t

Step-by-step explanation:

hope this helps:)

Answer:

5

Step-by-step explanation:

4 7/12 + 5/12 = 4 12/12 which equals 5

Answer:

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + 5

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Area of a trapezoid formula:

[tex]A=\frac{a+b}{2} *h\\\\h=2*\frac{A}{a+b}[/tex]

Given:

A = 48

a = 4

b = 12

Work:

[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{48}{12+4} \\\\h=2*\frac{48}{16}\\\\h=2*3\\h=6[/tex]

Answer:

I'll help you if I can, what is your question? Comment it and I'll try to help.

Step-by-step explanation:

Answer:

V = 65.97π

Step-by-step explanation:

Answer:

g00gle is a really great source for these questions!

Just put in the information and they do they work!

Step-by-step explanation:

66 inches cubed since you round up .03 decimals!

or 65.97 if you aren't supposed to round

Answer:

1/8 to the power of 3

Step-by-step explanation:

its 1/2 length x 1/2 width x 1/2 height

Answer:

1) yes, all of their angles are equal.  (75°, 45°, and 60°)

2) No, their angles are not equal. (42°, 48°, 90°  vs  58°, 32°, 90°)

Step-by-step explanation:

1.

ΔWXY and ΔRST are similar because they have equal angles.

2.

ΔJKM and ΔKLM are not similar because the angles are not equal.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

1.

In ΔWXY,

∠X = 75

∠Y = 60

∠W = 180 - (75 + 60) = 180 - 135 = 45

In ΔRST,

∠S = 45

∠R = 60

∠T = 180 - (45 + 60) = 180 - 105 = 75

Now,

We can say that,

ΔWXY and ΔRST are similar because they have equal angles.

2.

In ΔJKM,

∠J = 42

∠M = 45

∠K = 180 - (42 + 45) = 180 - 87 = 93

In ΔKLM,

∠K = 58

∠M = 90

∠L = 180 - (58 + 90) = 180 - 148 = 132

ΔJKM and ΔKLM are not similar because the angles are not equal.

Thus,

ΔWXY and ΔRST are similar because they have equal angles.

ΔJKM and ΔKLM are not similar because the angles are not equal.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

14

Step-by-step explanation:

f(x)=-5x2+4x-6

f(2)= -5*2*2+4*2-6

f(2)= -20+2

f(2)=-18

Answer:

See answers below

Step-by-step explanation:

Standard equation of a line is expressed as y = mx+b

m is the slope

b is the y intercept

Given the coordinate points (-2, -4) and B(1, -7)

Slope m = y2-y1/x2-x1

m = -7-(-4)/1-(-2)

m = -7+4/1+2

m = -3/3

m = -1

Get the intercept

Substitute m = -1 and (1, -7) into y = mx+b

-7 = -1(1) + b

-7 = -1 + b

b = -7+1

b = -6

Get thw equation

y = mx+b

y = -x + (-6)

y = -x - 6

Q.3 The equation in point slope form is expressed as y - y0 = m(x-x0)

Given the point (3, 5)

x0 = 3

y0 = 5

Given the equation y = 2x+3

mx = 2x

m = 2

slope = 2

Substitute the slope and the point in the expression

y - 5 = 2(x -3)

y - 5 = 2x - 6

y - 2x = -6 + 5

y - 2x = -1

This gives the required equation

Q.4 The equation in point slope form is expressed as y - y0 = m(x-x0)

Given the point (5, 7)

x0 = 5

y0 = 7

Slope = 3

Substitute the slope and the point in the expression

y - 7 = 3(x -5)

y - 7 = 3x - 15

y - 3x = -15 + 7

y - 3x = -8

This give the required equation

Answer:

19.1

Step-by-step explanation:

Pythagorean theorem: a^2+b^2=c^2

4^2+7^2=c^2

16+49=c^2

C^2=65

c=hypotenuse =root 65

Perimeter =7+4+root65=19.1ft

Answer:

y = -0.5x+7

slope : -0.5

Step-by-step explanation:

i did not know what you were asking so i gave you the equation of the line

Answer:

y=5x-12

Step-by-step explanation:

find the slope first which is (8-3)/(4-3)=5

Then that’s your slope.

after that plug the x into the equation I wrote so that means y=5(3)-12 and you should get the y value which is simple enough if you know how to do it.

Answer:

11

Step-by-step explanation:

2 times 6 is 12 minus 1 is 11

Input interpretation:

2 x - 1 where x = 6

Result:

11

Answer: all the ones that do not have a negative sign in front easy.

Answer:

(1+1+1)!*1=6

Step-by-step explanation:

Answer:

x = 45

Step-by-step explanation:

Brainliest Please!

Answer:

h = 1 1/3

Step-by-step explanation:

So when we divide base x height by two we get

Lets multiply 8 x 2

16

So now lets divide by 3

16 / 3 = 1 1/3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

fdgfdgghhfghfdhgfghhdfgfgdfgsdgfsdfdf

ANS

9 quarters and 5 dimes

Answer:

1/9 = 3^-2

1/8 = 2^-3

9 = 3²

8 = 2³

Answer:

What is a Proportion? The four numbers a, b, c and d are known as the terms of a proportion. The first a and the last term d are referred to as extreme terms while the second and third terms in a proportional are called mean terms.

Step-by-step explanation:

Answer:

False

Step-by-step explanation: