1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fed [463]
3 years ago
12

Earth's diameter at the equator is 7,926 miles. Find the distance around Earth at its equator to the nearest tenth.

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
8 0
If the distance around the earth means circumference, it is, 24,887.64.(not rounded.) C=pi D  (pi=3.14 + d=diameter)
You might be interested in
Evaluate 9.5s +8.7t when s= 3 and t = 4
Arturiano [62]
The answer is 63.3

9.5 * 3 + 8.7 * 4 = 63.3
3 0
3 years ago
The product of (3 − 4i) and____is 25.
LiRa [457]

(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}

9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}

6 0
3 years ago
A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of
erma4kov [3.2K]
We simply substitute 6 into the equation:
f(6) = -2(6 - 4)² + 22
f(6) = 14

The company's profit is 14 thousand dollars
hope it helped :).
6 0
3 years ago
Read 2 more answers
A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t
frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

  • since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

\mathbf{L = 3x - 2( \dfrac{1000000}{x})}

\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}

\mathbf{ x^2= \dfrac{2000000}{3} }

\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }

\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}

Now, if we replace the value with equation (1), then y will be:

\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\  \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}

\mathbf{x =500\sqrt{6}}

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

\mathbf{L = 3( \dfrac{1000  \sqrt{6}}{3}) + 2(500 \sqrt{6})}

\mathbf{L =1000  \sqrt{6} + 1000 \sqrt{6}}

\mathbf{L =2000  \sqrt{6} }

\mathbf{L \simeq 4899 \ ft}

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0
2 years ago
Tell whether the sequence is arithmetic. If the sequence is arithmetic, write a function rule to represent it.
fredd [130]

Answer:

A. no

Step-by-step explanation:

I hope it help............

8 0
2 years ago
Other questions:
  • Find the inverse of y=1/2x+6. Show steps
    10·1 answer
  • Given that AC and BD are chords, apply the Intersecting Chord Theorem to set up an equation and solve for x.
    15·1 answer
  • I need help with number 2 and three.
    7·2 answers
  • What property is 12(x+4)=12x+48
    11·2 answers
  • a lemon pie was cut into 6 equal pieces. being on a diet, Matilda ate only half a piece. what fraction of the whole pie did she
    5·1 answer
  • If 2 is subtracted from twice a number, the result is 50. what is the number
    14·2 answers
  • What number is 82% of 450
    8·2 answers
  • John buys 20 bunches of bananas for 5naira. He sells them for 6.50. what is his percentage profit?​
    8·1 answer
  • Solve for N. Express the solution in decimal form.
    11·2 answers
  • If the y-intercept and the x-intercept of a linear function are equal, is the slope 1 ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!