Answer:
3.08270264 hours
Step-by-step explanation:
The first thing you have to do is a graph where you signal the cardinal points (1st image)
Then draw the first line that the problem gives you (N64°W). At the end of this line, you will draw the following line (S23°W) drawing another little graph as a guide. Finally, you will draw the last line, as long as a triangle is made (2nd image)
If you pay attention to the first line you made, you will notice that you can make a right triangle with angles of 90°, 64°, and 26° (3rd image)
So, returning to the other big triangle, you are going to add the 23° of the main orientation with the 26° that you just obtained from the first triangle (4th image)
Now you have a large triangle with one side that is worth 4, another that is worth 2, and an angle between them that is worth 49° (5th image)
From now on it's easier.
We know that if we have an angle between two know sides we can use Law of cosines (a²=b²+c²-2bcCosA)
So a² = 2² + 4² - 2(2*4)Cos49
a² = 4 + 16 - 2(8)Cos49
a² = 20 - 16Cos49
Cos49 = 0.65605902899
16 * 0.65605902899 = 10.4969444638
20 - 10.4969444638 = 9.50305554
a² = 9.50305554
a = [tex]\sqrt{9.50305554}[/tex] = 3.08270264
Hope I helped you and sorry for the bad quality of the photos
Can somebody plz help answer these questions correclty (like what the letters=) thanks :D
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answer:
6. p = 4
7. m = 7
8. n = 13
9. z = 5
10. x = 4
11. y = 9
Step-by-step explanation:
You can divide the solution by the number next to the letters/variables.
For example, to find 9p = 36 you can do 36 ÷ 9 which equals 4.
To double check, you can multiply your quotient by the divisor.
So to check if p = 4, you can do 9 x 4 which equals 36, therefore it is the solution.
7+
2-
3+
3-
-
7+
1-
4
Answer:-15
Step-by-step explanation:
Answer:
umm... thirteen....
13
HELP DUE VERY SOON!!!
Answer: The answer is the second option.
Step-by-step explanation:
Answer:
$12.60 is a better deal
Step-by-step explanation:
hope this helps
dvd: $15; 35% markup
Answer:
35% of 15=35/100×15=21/4=5.25
How many terms are in this expression? d + 8c + 7
Answer:
2
Step-by-step explanation:
Consider sample data with x = 12 and s = 3. (a) Compute the coefficient of variation. % (b) Compute a 75% Chebyshev interval around the sample mean. Lower Limit Upper Limit
Answer: a) 25%
b) 75% Chebyshev interval around the sample mean=(6,18)
Step-by-step explanation:
Given: Sample mean: [tex]\overline{x}=12[/tex]
Sample standard deviation: s= 3
a) Coefficient of variation = [tex]\dfrac{s}{\overline{x}}\times100[/tex]
[tex]\\\\=\dfrac{3}{12}\times100\%=\dfrac{100\%}{4}\\\\=25\%[/tex]
b) According to the Chebychev's theorem,
75% of the population lies within 2 standard deviations from the sample mean.
i.e. 75% Chebyshev interval around the sample mean. = [tex](\overline{x}-2s,\ \overline{x}+2s)[/tex]
[tex]=(12-2(3),\ 12+2(3))\\\\=(6, 18)[/tex]
Hence, the 75% Chebyshev interval around the sample mean=(6,18)
helpppppppppppppppppppppp
Answer:
t = 30
Step-by-step explanation:
[tex]\frac{6}{1} = \frac{t}{5}[/tex]
you can tell you need to multiple by 5 from the denominators. 1 *5 = 5. Then, just multiply 6 by 5 and get 30.
NEED HELP ASAP!!
Lisa and Cory are having a debate about gravitation. Lisa says that the astronauts in that international Space Station (which is a distance of about 6800 km from Earth’s center) are too far away from Earth to experience Earth’s gravitational pull, and that is why they float. Cory insists that Lisa is incorrect. Which of them is correct in their statement, and why?
Answer:
Only Cory is correct
Step-by-step explanation:
The gravitational pull of the Earth on a person or object is given by Newton's law of gravitation as follows;
[tex]F =G\times \dfrac{M \cdot m}{r^{2}}[/tex]
Where;
G = The universal gravitational constant
M = The mass of one object
m = The mass of the other object
r = The distance between the centers of the two objects
For the gravitational pull of the Earth on a person, when the person is standing on the Earth's surface, r = R = The radius of the Earth ≈ 6,371 km
Therefore, for an astronaut in the international Space Station, r = 6,800 km
The ratio of the gravitational pull on the surface of the Earth, F₁, and the gravitational pull on an astronaut at the international space station, F₂, is therefore given as follows;
[tex]\dfrac{F_1}{F_2} = \dfrac{ \dfrac{M \cdot m}{R^{2}}}{\dfrac{M \cdot m}{r^{2}}} = \dfrac{r^2}{R^2} = \dfrac{(6,800 \ km)^2}{(6,371 \ km)^2} \approx 1.14[/tex]
∴ F₁ ≈ 1.14 × F₂
F₂ ≈ 0.8778 × F₁
Therefore, the gravitational pull on the astronaut by virtue of the distance from the center of the Earth, F₂ is approximately 88% of the gravitational pull on a person of similar mass on Earth
However, the International Space Station is moving in its orbit around the Earth at an orbiting speed enough to prevent the Space Station from falling to the Earth such that the Space Station falls around the Earth because of the curved shape of the gravitational attraction, such that the astronaut are constantly falling (similar to falling from height) and appear not to experience gravity
Therefore, Cory is correct, the astronauts in the International Space Station, 6,800 km from the Earth's center, are not too far to experience gravity.
5x+3y-z-4x-3y-z help please
The simplified version of this x-2z
Step-by-step explanation:
You need to start by combining like terms. You can start with the terms that have the variable x in them. By combining those terms, the equation becomes x+3y-z-3y-z.
From here, you can combine the terms 3y and -3y, which bring the equation to x-z-z.
From here, combine the terms with the variable z. This would bring the equation down too x-2z, your final answer.
What are the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 2?
The slope is –2, and the y-intercept is 9.
The slope is 2, and the y-intercept is 9.
The slope is 9, and the y-intercept is –2.
The slope is 9, and the y-intercept is 2.
the slope is 9 and the y intercept is -2
Answer:
The slope is 9 and the y intercept is -2
Step-by-step explanation:
this was right on edge 2021
PLEASE HELP ASAP?!?
What are the sine, cosine, and tangent ratios for
X + 45 = 97
x + 100 = 135
x + 1,423 = 1,754
X=
X=
X=
X =
X =
Answer:
1) x= 52
2) x= 35
3) x= 331
Step-by-step explanation:
use equivalent expression 20a+18+16a
Answer:
36a+18
Step-by-step explanation:
20a+16a=36a
18 does not have a "like term", so just leave it.
yesterday the temperature was 7 degrees fahrenheit . Today the temperature is 0 degrees fahrenheit . What was the change in the temperature from yesterday to today?
Answer:
-7
Step-by-step explanation:
HOPE THIS HELPS
Jane has saved $48 of her allowance money to buy books. If she buys 6 books at "d" dollars per book, she will have $48 -6d of her allowance left. How much does she have left if the books cost $2.50 each?
Answer:
She would have $33 left.
Step-by-step explanation:
First input the $2.50 into the "d" variable and multiply 6 by 2.50.
48−(6)(2.5)
Then, subtract 48 by 15.
48−15
Finally, you have your answer.
33
Mayra bought x grams of rice.
Anika bought 5
more than Mayra bought.
Select ALL of the equations that represent the relationship
between the amount of rice that Mayra bought, x, and the
amount of rice that Anika bought, y.
(Select all that apply)
Answer:
[tex]y = 5 + x[/tex]
[tex]y - x = 5[/tex]
[tex]x = y - 5[/tex]
Step-by-step explanation:
No options were given but the question can still be solved
Given
From the first statement, we have:
[tex]Maria = x[/tex]
From the second, we have:
[tex]Anika = 5\ more[/tex]
Required
Determine the relationship between the amount of rice they bought
5 more means 5 + Maria.
So, [tex]Anika = 5\ more[/tex] becomes
[tex]Anika = 5 + Maria[/tex]
Substitute x for Maria
[tex]Anika = 5 + x[/tex]
For proper expression, let Anika be y
[tex]y = 5 + x[/tex]
Subtract x from both sides
[tex]y - x = 5[/tex]
Make x the subject
[tex]x = y - 5[/tex]
Write an equation of the line that passes through the points (-6, -8) and (2, -8).
Y=
Answer:
I wanna say 8 if its.
y=8x+-8
If thats wrong im sorry
Answer:
8
Step-by-step explanation:
Factor the expression
27 - 9x + 15y
Answer:
-3(3x-5y-9)
Step-by-step explanation:
Write the equation of the line in slope intercept form that has a slope of -1/5 and contains (-5,-3)
Answer:
y = [tex]-\frac{1}{5}x[/tex] - 4
Step-by-step explanation:
As we know the point slope form of an equation is as follows -
y - y₁ = m ( x - x₁ )
As we have slope , m = [tex]-\frac{1}{5}[/tex]
And point (x₁ , y₁ ) = ( -5, -3)
⇒ y - ( -3) = [tex]-\frac{1}{5}[/tex] ( x - (-5) )
⇒ y + 3 = [tex]-\frac{1}{5}[/tex] ( x + 5 )
⇒ y + 3 = [tex]-\frac{1}{5}[/tex] x - 1
⇒ y = [tex]-\frac{1}{5}[/tex] x - 1 - 3
⇒ y = [tex]-\frac{1}{5}[/tex] x - 4
So, the equation becomes
y = [tex]-\frac{1}{5}x[/tex] - 4
I need help with this please
Please I don’t understand I need help thank you
Answer:
Step-by-step explanation:
A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost (start-up fee and monthly charge) to use the
cell phone plan for 3 months? *
O $150
$200
O $350
$750
Answer:
750
Step-by-step explanation:
200+50=250
250x3+750
Write an equation, in standard form, using the following given info: M = 10
and it passes through the point (6,2) *
-10x + y = -58
-10x + y = 58. -10x - y = -58
10x + y = -58
Given:
m = 10
The line passes through the point (6,2).
To find:
The equation of line in the standard form.
Solution:
If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (6,2) and m = 10. So, the equation of line is
[tex]y-2=10(x-6)[/tex]
[tex]y-2=10x-60[/tex]
[tex]y-10x=-60+2[/tex]
[tex]-10x+y=-58[/tex]
Therefore, the correct option is A.
A model of a famous statue is 3 1/2 inches tall. The actual statue is 5 1/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?
Given:
A model of a famous statue is [tex]3\dfrac{1}{2}[/tex] inches tall. The actual statue is [tex]5\dfrac{1}{4}[/tex] feet tall.
To find:
The the ratio of the height of the model to the height of the actual statue in simplest form.
Solution:
We have,
Height of the model = [tex]3\dfrac{1}{2}[/tex] inches
Height of the actual statue = [tex]5\dfrac{1}{4}[/tex] feet.
Now, the ratio of the height of the model to the height of the actual statue is:
[tex]\text{Ratio}=\dfrac{\text{Height of model}}{\text{Height of actual statue}}[/tex]
[tex]\text{Ratio}=\dfrac{3\dfrac{1}{2}\ in.}{5\dfrac{1}{4}\ ft}[/tex]
[tex]\text{Ratio}=\dfrac{\dfrac{3(2)+1}{2}\ in.}{\dfrac{5(4)+1}{4}\ ft}[/tex]
[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\ ft}[/tex]
We know that 1 ft = 12 in.
[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\times 12\ in.}[/tex]
[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{21\times 3\ in.}[/tex]
[tex]\text{Ratio}=\dfrac{7}{2\times 21\times 3}[/tex]
[tex]\text{Ratio}=\dfrac{1}{2\times 3\times 3}[/tex]
[tex]\text{Ratio}=\dfrac{1}{18}[/tex]
Therefore, the ratio of the height of the model to the height of the actual statue in simplest form is [tex]\dfrac{1}{18}[/tex].
Cristal had $157 in her checking account. She then made a deposit of $160. Find her new account balance.
Answer:
$317
deposit: add
157+160= 317
y=2x2+3 is this a linear or nonlinear function
Answer:
y=7
Step-by-step explanation:
2x2=4 +3 =7 y
Which of the following constants can be added to x ^2 - x to form a perfect square trinomial?
1/4
1/2
1
urgent
Answer:
Its 1/4 boys dont worry i got you
Step-by-step explanation:
May someone help me with this :) it’s easy
Answer:
b) 35/100
c) 0.35
Step-by-step explanation:
2)
[][][][][][][]Answer:
3. [tex]\frac{20}{100}[/tex] and [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Someone already answered b, c, and 2 so here's the third answer :)
10:50 is a ratio, which can be rewritten as [tex]\frac{10}{50}[/tex]
To write an equivalent fraction, we can either multiply or divide.
Multiplying both the numerator and denominator by 2 gets us [tex]\frac{20}{100}[/tex].
Dividing both the numerator and denominator by 10 gets us [tex]\frac{1}{5}[/tex].
Hope this helps!
5.2÷______= 0.052
answer______
Answer:
(1)=100
Step-by-step explanation:
5.2 divided by 10= 0.52 then divide by 10 = 0.052
so instead do 5.2 divided by 100=0.052
Answer: 100
Step-by-step explanation:
Since you change the decimal place two times to the right, you divide it by 100.
What's 1/-9 in decimal form