Answer:
a) El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.
b) El radio del Sol es 109.245 veces mayor que el radio de la Tierra.
c) El radio del Sol es 400.711 veces mayor que el radio de la Luna.
Step-by-step explanation:
a) ¿Cuántas veces es mayor el radio de la Tierra que el de la Luna?
En esta pregunta nos piden la razón del radio medio de la Tierra al radio medio de la Luna. Las unidades están en kilómetros:
[tex]r = \frac{6.371\times 10^{3}\,km}{1.737\times 10^{3}\,km}[/tex]
[tex]r = 3.668[/tex]
El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.
b) ¿Cuántas veces es mayor el diámetro del Sol que de la Tierra?
El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón, definida en este caso como la razón del radio medio del Sol al radio medio de la Tierra. Las unidades están dadas en kilómetros:
[tex]r= \frac{6.96\times 10^{5}\,km}{6.371\times 10^{3}\,km}[/tex]
[tex]r = 109.245[/tex]
El radio del Sol es 109.245 veces mayor que el radio de la Tierra.
c) ¿Cuántas veces es mayor el diámetro del Sol que el de la Luna?
El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón. Una forma sintética de obtener la razón consiste en obtener el producto de las razones encontradas en a) y b). Es decir:
[tex]r = 3.668\times 109.245[/tex]
[tex]r = 400.711[/tex]
El radio del Sol es 400.711 veces mayor que el radio de la Luna.
Prove the following identity:
[tex] \frac{1 + \cos( \alpha ) }{ \sin( \alpha ) } + \frac{ \sin( \alpha ) }{1 + \cos( \alpha ) } = 2 \csc( \alpha ) [/tex]
Answer:
[tex]\dfrac{1+\cos(x)}{\sin(x)}+\dfrac{\sin(x)}{1+\cos(x)}[/tex]
[tex]=\dfrac{(1+\cos(x))(1+\cos(x))}{\sin(x)(1+\cos(x))}+\dfrac{\sin^2(x)}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{1+2 \cos(x)+\cos^2(x)+\sin^2(x)}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{1+2 \cos(x)+1}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{2+2 \cos(x)}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{2(1+ \cos(x))}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{2}{\sin(x)}[/tex]
[tex]=2 \csc(x)[/tex]
Step-by-step explanation:
please mark me as brainlest
9th math will give brainly thanks!
Answer:
Step-by-step explanation:
1. Write an equation to find the number of toppings, x, when you would pay for the same amount for Pizza A and B.
So, we have to make a relationship between Pizza A and Pizza B, and this is talking about the pizza and toppings so,
$10 + $1.50x = $12.50 + $1.00x
Now we solve for the x values and the starting amount of money,
0.50x = 2.50
and that gives us,
$5
The answer also solves for the bottom one, the answer you need on the top one is,
$10 + $1.50x = $12.50 + $1.00x
Cameron wants to buy a new bike that costs $112. He is saving $8 per week. How many weeks will it be until Cameron has all the money he needs to buy the
bike
the answer is 14
Step-by-step explanation:
Sebastian goes out to lunch. The bill, before tax and tip, was $8.75. A sales tax of 5% was added on. Sebastian tipped 17% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:
1.56
Step-by-step explanation:
just do 8.75x1.05, then multiply that number by .17.
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Help ASAP im in 6th so this could be easy for sum of you to answer! okay so click on this question to see the rest please help me! Billy's soccer team won 17 out of the 20 games played. Sam's soccer team lost 3 games of their 12-game season. Which statment is NOT true about the wins and losses for both Billy's and Sam's soccer teams?
Group of answer choices: A, Billy's soccer team won 17 games which represents 85% of their games.
B, Sam's soccer team won 9 games which represents 3/4 pf their games.
C, Both of their teams lost 3 games, so their losing percentage would be the same.
D,Sam's soccer team lost 3 games which represents 25% of their games.
Answer:
C
Step-by-step explanation:
I believe it is C because since they each have a different amount of games even though they both lost three, the percentage will be different. Just like if you missed 2 questions on a 4 question test you would fail, but if you missed two questions on a 20 question test you would get a good score.
Answer
C
Step-by-step explanation:
Help me asp 25 points and will mark
(b)Newton has bought 12 dozen copies in Rs 4320. His expenditure to bring the copies
to his shop is Rs. 288. How much profit does he make in one copy after selling all
copies in Rs. 5760? Also how much profit in percent did he get in the business of
copy? Find it.
Answer:
30%
Step-by-step explanation:
4320 - 288 = 4032
4032/12 =336 per copies
So, he sold them in 5760
5760 - 4032 = 1728
(1728/5760)*100 = 30%
What is an equation of the line that passes through the points (5, -3) and
(-3, -3)?
Answer:
y= - 3
Step-by-step explanation:
note that the y- coordinates of both points are - 3
This indicates the line passing through them is a horizontal line, parallel to the x- axis with equation
y = c ( c is the value of the y- coordinates the line passes through ), that is
y = - 3
How to make 20 using the number 3,5,6,3
Answer:
5+6 +(3*3)
Step-by-step explanation:
If you are allowed to mix the numbers then
5 + 6 + (3*3)
5+6 = 11
3*3 = 9
11+9 = 20
Hope this helps
need help with 3 and 4
The circumference of a circle is 8π cm. What is the DIAMETER of the circle?
Answer:
8cm
Step-by-step explanation:
The circumference of a circle= π×diameter(d)
= πd= 8π cm
d=8π/π =8cm
39.4 is what percent of 64 round to the nearest 100
Answer:61.7
Step-by-step explanation:
maths
Answer:
61.56%
Step-by-step explanation:
Find 39.4 out of 64 as a decimal:
Convert decimal to percent:
0.615625 × 100 = 61.5625% (Move decimal 2 places to the right)
61.56% (Round to the nearest hundredth)
need help i dont understand what i have to do plss help
Answer:
They are in sets of two! (First two are a pair) First two are copying a line segment. The next two are bisecting!
Step-by-step explanation:
Given in pictures.
3 increased by the product of q and r
Answer:
3 + qr
Step-by-step explanation:
"increased by" means adding.
"product" indicates multiplication.
You can show that q and r are multiplied together in many ways:
qr
q(r)
(q)r
q×r
q•r
q*r
This is how you translate the phrase into an algebraic expression.
3 + qr
Find the slope of the line that passes through (8, 13) and (10, 10).
Answer:
-3/2
Step-by-step explanation:
use slope formula
y1-y2/x1-x2
Find the measure of angle x in the figure.
Note: Angles not drawn to scale.
Angle x measures=
Answer:
x = 125°
Step-by-step explanation:
There are 7 angles in this shape. The sum of the angles in a shape like this is calculated using a formula.
Total of angles
= (n - 2)•180°
Put in 7, because there are 7 angles.
= (7 - 2)•180°
= 5•180°
= 900°
So the total of the angles should be 900°. We know all of the angles except one.
900° = 123°+129°+128°+128°+132°+135°+ x
900° = 775° + x
Subtract 775.
125° = x
The missing angle is 125°.
Need help ASAP please
Part 1:
You started saving for a car when you were in middle school. You have done some research and discovered that it will cost you about $9,500 for a used car that would fit your needs. You were encouraged to invest some of your savings to help you get to your financial goal faster. So far you have saved $7,500. If you invest this money in a savings account with a 3.3% interest rate compounded annually, how long will it take to earn enough money to go purchase the car? Use the compound interest formula A = P (1 + i)n, where A is the accumulated amount, P is the principal, i is the interest rate per year, and n is the number of years. Round your final answer to the nearest tenth.
Answer:
7.3 years.
Step-by-step explanation:
A = P(1 + i)^n
9500 = 7500(1 + 0.033)^n where n = number of years.
1.033^n = 9500/7500
n log 1.033 = log(9500/7500)
n = log(9500/7500)/log 1.033
n = 7.28 = 7.3.
This figure represents a portable ramp that is being recovered on all sides.
How much material is needed to recover the ramp?
1288 m²
1416 m²
1443 m²
1680 m²
Right triangular prism. Each base is a right triangle such that the sides forming the right angle are labeled 7 m and 24 m, and the remaining side is labeled 25 m. The distance between the bases is 20 m.
The surface area of the right triangular prism shown is 1288 m²
What is an area?
Area is the amount of space occupied by a two dimensional shape or object.
The prism has a triangular base with 24 m and height of 7m..
The surface area of the prism = 2(0.5 * 24 * 7) + (25 * 20) + (20 * 7) + (24 * 20) = 1288 m²
The surface area of the right triangular prism shown is 1288 m²
Find out more on area at: https://brainly.com/question/25292087
4x:3 = 6:5 calculate the value of x
Answer:
-2
Step-by-step explanation:
4x:3=6:5.
4x/3=6/5
4x × 5=6×3
20 X=18
X=18-20
X=-2
This year, 17,884 people attended a basketball team’s first game, and 17,150 people attended their second game. What is the percent decrease from the first game to the second game in the number of people who attended? Round to the nearest tenth of a percent.
Answer:
4.1
Step-by-step explanation:
A truck delivers 14,000 pounds of gravel.
How many tons are in 14,000 pounds?
Answer:
7
Step-by-step explanation:
there is 2k pounds per ton, so it would just be 14/7
Answer:
7
Step-by-step explanation:
GIven;
A truck delivers 14,000 pounds of gravel.
To FInd;
How many tons are in 14,000 pounds?
Note;
Pound to Ton = Formula: Divide the mass value by 2
Solve;
Hence, 14/2 = 7
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Please help (and explain why the answer is right) i'd appreciate that
Answer:
a is the answer................. :P
Step-by-step explanation:
slope = rise/run
rise=2
run=4
rise/run= .5
and it intercepts y-axis at -5
Can someone explain this question on how to solve it please
Answer:
110
Step-by-step explanation:
Angle P and angle N are angles on a straight line. The sum of angles on a straight line is always 180 degrees.
180-70=110
which shape
could this
be folded
to form?
-
Answer:
A cylinder.
Step-by-step explanation:
A cylinder has two round tops , and one long body shape. When you roll the rectangle, it creates the body shape of the cylinder and the circles are the tops.
6. Solve the equation x2 = 80.
Answer:
x=4√5
Step-by-step explanation:
An equation is formed of two equal expressions. The value of x in the given equation is ±4√5.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved for x as shown below,
x² = 80
x² = 2×2×2×2×5
x = √(2×2×2×2×5)
x = ± 4√5
Hence, the value of x in the given equation is ±4√5.
Learn more about Equation here:
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Which of the following is the equation for the line perpendicular to the line 3x -2y =10 that passes through the point (7,5)?
A. Y = 2/3x + 29/3
B. Y = -2/3x + 1/3
C. Y = 2/3x + 1/3
D. Y = -2/3x + 29/3
The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given below.
3x - 2y = 10
The equation of the line that is perpendicular line is given as,
2x + 3y + d = 0
The equation is passing through (7, 5). Then we have
2(7) + 3(5) + d = 0
14 + 15 + d = 0
29 + d = 0
d = - 29
Then the equation of the line is given as,
2x + 3y - 29 = 0
2x + 3y = 29
3y = 29 - 2x
y = 29 / 3 - (2/3)x
The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.
More about the equation of a perpendicular line link is given below.
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ห - 14W - 32
I’m factoring polynomials please help
Answer:
Step-by-step explanation:
Sum = -14
Product = - 32
So, the factors = -16 , 2
When we add -16 +2 = -12 and when we multiply it is -32
w⁴ - 14w² - 32 = w⁴ - 16w² + 2w² - 16 * 2
= w²(w² - 16) + 2(w² - 16)
= (w² - 16)(w² + 2)
= (w² - 4²)(w² + 2)
= (w + 4)(w - 4)(w² + 2)
Step-by-step explanation:
Replace w^2 with any other variable for eg: w^2=a
so that will make the equation:
a^2-14a-32
now factorize this equation and u can find the value of a
a^2-16a+2a-32
a(a-16)+2(a-16)
so factors= (a+2) (a-16)
since a was w^2 so replace them with w^2 and u got factors of the equation
you can also directly factorize the whole equation through middle term breaking
w^4-16w^2+2w^2-32
w^2(w^2-16)+2(w^2-16)
(w^2+2)(w^2-16)
you get the same answer
Please help me 6th grade math (brainly patrol pls dont delete this)
Answer:
4. 52. 5. 80% 6. 32% 7. 50 total players.
Step-by-step explanation:
4: 20% = .2 so you are going to multiply 65 by .2, and you get 13 then just subtract 13 from 65 and you get 52.
5: just do 4/5 and you get .8 which is 80%
6: just do 16/50 and you get .32 which is 32%
7: well if you notice that 35 is a multiple of 5 you can see that 35 is 70% of 50 and to prove that you can punch in 35/50 and you get .7 which is 70%
please help me!! Look at the picture! Please!!!!
Answer:
First let's find how much money the 4% is.
4/100 x 180 = $7.20
Now we add that sales tax to the cost of the telescope;
180 + 7.20 = $187.20, is what she'll pay in total.
The width of a rectangle is 14 meters less than the length. The area of the rectangle is 576 square
meters. Find the length and the width.
The answer is given is explanation