The International Space Station orbits 350 km above Earth’s surface. Earth’s radius is about 6314 km. Use the Pythagorean Theorem to find the distance from the space station to Earth’s horizon. Round your answer to the nearest kilometer. (Diagram is not to scale.)
Answers
Answer:
2131 km
Step-by-step explanation:
The Pythagorean theroeom states that a^2+b^2=c^2. We know that Earth's radius is 6314, so we know one of the shorter sides, (a). side c, the hypotenuse, is 6314 km plus 350 km. Plug it into the equation and then solve for b.
6314^2+b^2=6664^2
b^2=4542327
sqaure root each side and you have your answer!
Related Questions
Identify the pairs of corresponding angles and corresponding sides. It may help to rotate the shapes so they are facing the same direction.
Answers
∠J = ∠M = 90°
∠ L = 45°
∠K = 90°+45° =135°
JK/ST = KL/UT = LM/UV = JM/VS = 5/6
How many liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20L of a 15% alcohol solution
Answers
Answer:
Let x= liters of 18% solution to be added to a 10% solution.
20-x= liters of 10% solution to be mixed with 18% solution.
..
18%(x)+10%(20-x)=15%(20)
.18x+2-.1x=3
..08x=1
x=1/.08=12.5
ans:
12.5 liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% acohol solution.
I hope it's helpful!
(x ^ 4 + 1) / (x + 1)
synthetic division
Answers
A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 6 days. Its average brightness is 3.5 and the brightness changes by /-0.25. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days: B(t)=4.2 +0.45sin(2pit/4.4)
A) Find the rate of change of the brightness after t days.
B) Find the rate of increase after one day.
Answers
Answer:
a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
b) The rate of increase after one day is of 0.0915.
Step-by-step explanation:
The brightness after t days is given by:
[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]
A) Find the rate of change of the brightness after t days.
This is [tex]B^{\prime}(t)[/tex]
The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]
So, in this case, we have that:
[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
B) Find the rate of increase after one day.
This is [tex]B^{\prime}(1)[/tex]. So
[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]
The rate of increase after one day is of 0.0915.
I need help thanks so much
Answers
Answer:
9
Step-by-step explanation:
The triangle provided is an equilateral one, which means that the length of all sides is equal.
Let's start by taking two and finding x.
8x+1 = 3x+6 (Subtract 3x from both sides)
5x+1 = 6 (Subtract 1 from both sides)
5x = 5 (Divide 5 from both sides)
x = 1
Now we substitute x in all the equations to find the length.
8(1) + 1 = 9
3(1) + 6 = 9
4(1) + 5 = 9
Length = 9
It’s a long question THERE IS A PIC
Answers
9514 1404 393
Answer:
1.7 degrees is warmer than -3.4 degrees
Step-by-step explanation:
You can find these two numbers on a number line. Warmer (and greater) is to the right.
find the distance in the coordanite plane between the two points and show ur work
1 (5, -8) and (5,2)
2 (-8, -2) and (7, -2)
3 (9, 10) and (9, -2)
4 (11 , 6) and (-7, 6)
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4)
Which expression is equivalent to 3x + x + y?
A)
4xy
B)
5xy
0
3 + xy
Highlight
D)
4x + y
Time
Remaining
Answers
Answer:
D.) 4x + y
Step-by-step explanation:
3x + x + y
Add 3 x and x .
4 x + y
u- | 3v | - 4u +| -5v |
Evaluate
Answers
I hope it helped
Answer:
-3u-2v
Step-by-step explanation:
u-(3v)-4u+(-5v)
u-4u-3v-5v
-3u-2v
how is 3×3×3×3×3×3×3 written in exponential form
Answers
Answer:
3 to the 7th power (7 is the exponent)
Step-by-step explanation:
have a wonderful
Who is awake need help with math points and brainlest
Answers
Answer:
4/8 = 9/n the first fraction is the height of the small shape to the height of the big shape and the second fraction is the bottom of the small shape to the bottom of the big shape (n)
Step-by-step explanation:
HELPPPPP SOMEONE HELP AND I WILL MARK BRAINLIST!!!
Answers
Answer:
Angle B and Angle D are both 101 degrees
Step-by-step explanation:
Consecutive Angles in a parallelogram are supplementary (add up to 180 degrees).
Given that fact, we can deduce the measure of angle B.
180-79=101.
Angle D has the same setup since Angle D and C are consecutive along with Angle C and B.
180-79=101.
Therefore, both Angle B and D are 101 degrees.
Write a system of equations. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. WRITE BOTH EQUATIONS FOR THIS SYSTEM.
Answers
Answer:
Step-by-step explanation:
If you are looking for an equation then it is:
4x + 3y = 1787 (Where x is the reserved seat tickets and y is general admission)
and $4x + $3y = $5792
In a race between 18 people, how many ways can the top 5 finishers be arranged?
1,028,160
8,568
742,560
73,440
Answers
Answer:
73,440
Step-by-step explanation:
Answer:
1,028,160
Step-by-step explanation:
Find the value of x in the given
right triangle.
х
37°
10
X = [?]
Enter your answer as a decimal rounded to the nearest 10th
Answers
Answer:
cos37=10/y
0.8=10/y
y=12.5
y²=10²+x²
x=12.5²-10²
56.25
Step-by-step explanation:
You buy butter for $4.04 a pound. One portion of onion compote requires 1.7 oz of butter. How much does the butter for one portion cost? Round to the nearest cent.
Answers
Answer:
im pretty sure its 4.04 x 1.7 = 6.868
Round that and its $7.00
0.36 divided by 2.34
Answers
Answer:
0.15384615384
Step-by-step explanation: Often times, this number will be rounded to the nearest hundreth to be .15
Answer:
=0.1538461538461538
Step-by-step explanation:
Hope this helps (:
The equation S = 50 + 45w represents the savings, S, after w weeks working and
depositing (putting in) money into a savings account at the bank.
Determine whether there is a proportional relationship between S and w.
Explain your reasoning.
Answers
Answer:
yes
Step-by-step explanation:
50 can be the initial money in the account and she can be depositing 45 dollars every (w) weeks and it will show her (S) savings
2(a + 5) – 4 = 2.a +2.5 –4 +
distributive property
distributive property
commutative property
associative property
Answers
Answer:
distributive property
Step-by-step explanation:
2(a+5)
2 is being distributed
A rectangle has an area of 76 square centimeters and a length of 19 centimeters.
Solve for w, the width of the rectangle in centimeters.
Answers
Answer:
4 centimeters
Step-by-step explanation:
width = area/length
width = 76/19 = 4 centimeters
Reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis. Find the coordinates of the new image.
A) C(-1,2) --> C' (-1,-2)
B) B(3,6) --> B' (3,-6)
C) A(1,2) --> A' (1,-2)
D) D(-2,-2)--> D' (-2,2)
Answers
Answer:
1,2 = 1,negative2
3,6 = 3,negative 6
-1,2 = negative 1, negative 2
-2,-2 = negative2, 2
Step-by-step explanation:
Sorry all i could do was reflect the coordinates across the x-axis.
The figure reflected along x-axis will have vertices A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
What is reflection along the x-axis?When we reflect a figure along the x-axis the coordinate point of y changes its sign, (x, y) becomes (x, - y).
Think of holding the x-axis with two fingers and rotating it.
Given, we reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis.
∴ The rotated coordinate will be A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
learn more about translation here :
https://brainly.com/question/23961993
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Which graph represents the function f(x) =three-halves(2)x?
Answers
Answer:
wheres the graph?
Step-by-step explanation:
Answer:
The last graph on edge 2021
Step-by-step explanation:
a) The failure rate in obtaining car license in every test held by Road Transport
Department Malaysia (JPJ) in 2013 is 8%. For the next test, twenty candidates were
chosen at random. Let X be the random variable of failure rate in obtaining car license
(C01. 13. PO1
Answers
Answer:
Step-by-step explanation:
What is the product of 2.7 and 18/17? Is the product rational or irrational?
Answers
Answer:
Irrational!
Hope that helps!
Step-by-step explanation:
How much net work is required to accelerate a 1000 kg from 20 m/s to 30
m/s?
Answers
Answer:
Work= force(F) * distance (s)
weight is a force and so
F=weight=mass *acceleration due to gravity
=1000*10=10000N
S=?
To find s,
F= ma
a=F/m=10000/10
a=10m/s²
Using Newton's third equation of motion
v²= u²+2as
30²= 20²+2*10*s
900–400=20s
500=20s
s=500/20= 25m
Work =F*s
Work=10000*25
Work= 250000J or 250KJ
Step-by-step explanation:
Step 1: 12x – 15 – 12x = 7x + 20
Step 2: 12x – 12x – 15 = 7x + 20
Step 3: -15 = 7x + 20
Step 4: -35 = 7x
Step 5: -5 = 3
Drag and drop the correct justification for each step.
Answers
Step-by-step explanation:
step 1. 12x - 15 - 12x = 7x + 20
step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)
step 3. -15 = 7x + 20 (adding like terms)
step 4. -35 = 7x (subtract 20 from both sides)
step 5. this step is incorrect.
step 6. -5 = x ( divide both sides by 7)
step 7. x = -5 (put the variable first).
Steph had 24 cards . He gave 4 cars to his brother. Then he passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent he first part of this situation
Answers
Answer:
16 is the answer
I hope this answer help you
Answer:
Subtract 4 1st
Step-by-step explanation:
Subtract 4 of the cars since he gave them to his brother then divide between 4
the product of 9, and a number increased by 7, is 144. what is the number?
Answers
Answer:
somehow i got 0.7345
Step-by-step explanation:
t=bd+M solving M what's the answer
Answers
Answer:
m=−bd+t
Step-by-step explanation:
t=bd+m
flip equation
bd+m=t
Step 2: Add -bd to both sides.
bd+m+−bd=t+−bd
m=−bd+t
On solving for M, we get -
M = t - bd
We have the following expression -
t = bd + M.
We have to solve for ' M '.
Solve for x : nx + a = [tex]$\pi[/tex].On solving, we get -
nx + a = [tex]$\pi[/tex]
x = [tex]$\frac{\pi -a}{n}[/tex]
According to the question, we have -
t = bd + M
t - bd = M
M = t - bd
Hence, on solving for M, we get -
M = t - bd
To solve more questions on Rearranging expressions, visit the link below-
brainly.com/question/8864600
#SPJ2
A meal at Mrs Love's usually costs £27.66.
1/3 is added to this price for Valentine's Day.
How much does the Valentine's meal cost now?
Answers
Since 1/3 of the price would be 9.22, and if you were to add that on to the usual price of the meal it would equal out to 46.88. Therefore the price of the Valentine’s meal would cost 46.88.