9514 1404 393
Answer:
CW from north: -78.58 mphCCW from +x: -112.2 mphStep-by-step explanation:
A couple of different references are used when talking about angles in the x-y coordinate plane. Conventionally, angles are measured CCW from the +x axis of the plane. This is the reference usually used in physics problems involving acceleration, velocity, and displacement.
If the angles refer to bearings on a map, the usual mapping is north = +y, east = +x, and angles are measured CW from north. This is the reference usually used in (flat earth) navigation problems involving airspeed and ground speed.
We cannot tell the intended meaning of "direction angle" here, hence there are two answers. Take your choice.
__
If the angle is measured counterclockwise from the +x direction, the (x, y) coordinates of the vector (137; 235°) are ...
(x, y) = 137(cos(235°), sin(235°))
(x, y) = (-78.58, -112.22)
The y-component is -112.22 miles per hour.
__
If the "direction angle" is a bearing measured clockwise from the +y direction, then the x- and y-coordinates are swapped from those listed above.
(x, y) = (-112.22, -78.58)
The y-component is -78.58 miles per hour.
_____
Additional comment
We say this is "flat earth" navigation because any serious navigation calculation must take into account the Earth's curvature. A path that follows a great circle will not have a constant compass bearing except along the equator or a longitude line.
Find the number of faces, edges, and vertices of the solid.
Answer:
Faces ~ 6
Edges ~ 12
Vertices ~ 8
If this helped, please mark me brainliest (๑・ω-)～♥”
Pls pls pls pls help pls
Answer:
only 5
Step-by-step explanation:
HELP PLEASEEE
In a chemistry lab, there are 9.52 grams of a powdered substance in a container. Max needs to place an equal amount of the powdered substance into each of 3 glass plates. The amount of powdered substance he places into each glass plate is 1.98 grams.
Max estimates that there are about 4.5 grams of the powdered substance remaining in the container. Is his statement reasonable?
A.
This is not reasonable because 9.52 grams can be rounded to 9 grams and 1.98 grams can be rounded to 1 gram. Since 9 − 3(1) = 6, there would be about 6 grams of the powdered substance remaining in the container.
B.
This is reasonable because 9.52 grams can be rounded to 9 grams and 1.98 grams can be rounded to 2.5 grams. Since 9 − 3(2.5) = 1.5, there would be about 1.5 grams of the powdered substance remaining in the container.
C.
This is not reasonable because 9.52 grams can be rounded to 9.5 grams and 1.98 grams can be rounded to 2 grams. Since 9.5 − 3(2) = 3.5, there would be about 3.5 grams of the powdered substance remaining in the container.
D.
This is reasonable because 9.52 grams can be rounded to 9 grams and 1.98 grams can be rounded to 1.5 grams. Since 9 − 3(1.5) = 4.5, there would be about 4.5 grams of the powdered substance remaining in the container.
C
Step-by-step explanation:
I would have to say C. Even if you went with just the explainations, the math just adds up to 3.5
9.52 grams total
1.98 x 3 = 5.94 in total in all the containers
9.52 in the container
- 5.94 being taken out
3.58 left remaining in the jar
What equation models the volume for a rectangular prism that is 4 cm long, 4cm wide, and 0.1 m tall A. V = 42 x 10 B. V = 10 x (4 + 4) C. V = 400 x 4 D. V = (4 x 4) + 10
Answer:
It's 160
I think you have a typo in d. If you do, the answer is d) V=(4 x 4) x 10
meaning a x 10 versus a + 10 as typed.
Step-by-step explanation:
.1m=10cm
volume = 4 x 4 x 10 = 160
A rectangle with a length of 5cm and width of 2cm is cut diagonally. What is the area of one of the triangles formed?
PLEASE LEAVE STEPS!
Answer:
5cm^2
Step-by-step explanation:
l=5 w=2
Area= 5×2
=10cm^2
Area of triangle= 10/2
=5cm^2
What is the amplitude of the function below?
1
2
pi
2pi
Answer:
can you add a photo?
Step-by-step explanation:
The amplitude of the function is 6.5.
What is amplitude?The amplitude of a function is the amount by which the graph of the function travels above and below its midline.
When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine.
Given is graph, It intersects its midline at (-1/2pi,3.3), and it has a maximum point at (-2pi,9.8).
The amplitude of a function is the maximum displacement from the form a fixed point or from the origin.
From the graph, you take the initial position of the object from the broken red line which is equal to 3.3 at the Y axis.
The peak or the maximum value = 9.8
Amplitude = 9.8 - 3.3 = 6.5
The maximum displacement is at Y axis
Hence, the amplitude of the function is 6.5.
Learn more about amplitude, click;
https://brainly.com/question/15930409
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The complete question is :-
Below is the graph of a trigonometric function. It intersects its midline at (-1/2pi,3.3), and it has a
maximum point at (-2pi,9.8).
What is the amplitude of the function? Please show me how to do it too so I can do the rest of the problems
What is the length of the hypotenuse if a= 5 and b= 7
Answer:
[tex]\sqrt{74}\\[/tex]
Step-by-step explanation:
Use hypotenus formula
A^2+b^2=C^2
5^2+7^2=C^2
25+49=c^2
74=C^2
[tex]\sqrt{74}\\[/tex]
mz3 = 10x and mz5= 12x - 25.
Answer:
[tex]x = 12.5[/tex] degrees
Step-by-step explanation:
Since lines a and b are parallel, we have that angles 3 and 5 are congruent, that is, they have the same measure.
We have that:
[tex]m<3 = 10x[/tex]
[tex]m<5 = 12x - 25[/tex]
Value of x:
Since they are congruent:
[tex]m<3 = m<5[/tex]
[tex]10x = 12x - 25[/tex]
[tex]-2x = -25[/tex]
[tex]2x = 25[/tex]
[tex]x = \frac{25}{2}[/tex]
[tex]x = 12.5[/tex] degrees
A statistical question anticipates that answers will vary. Which of these are examples of statistical questions?
A)How many computers are in the school's lab?
B)How many letters are in the word direction?
C)What are the favorite books of each member of the book club?
D)How many people volunteered to help at the community's Christmas festival?
E)How many video games were purchased last year by each student in Mr. Hill's math class?
Answer:
the answer is C
Step-by-step explanation:
hope it hlp
Mona has a bag containing 4 red marbles, 12 green marbles, and 8 black marbles. Without looking, she pulls out one marble from the bag and places it in an empty jar. She then pulls a second marble from the bag and places it in the jar. WHat is the probability that she will have 2 green marbles in the jar?
A. 12/24 x 11/23
B. 12/24 x 12/24
C. 1/12 x 1/11
D. 12/24 x 12/23
Kelly purchased 9 planters for a total of $63. She wants purchase another 20 planters at the same unit price.
How much will 20 planters cost?
Simplify -4 + (-3) + 6.
Answer:
-7+6
Step-by-step explanation:
Help I don't think any of them is the correct answer!
I'm not to sure because neither of these makes sense
a radio costs $40. the tax rate is 7.5%. what is the tax on this radio?
Shaun bought a new Nissan Versa from Planet Nissan for $11.199. How much was his sales tax if the
tax rate is 8.25%
Answer:
923.92
Step-by-step explanation:
11,199 x .0825 = 923.92
what is the factored from of the polynomial function f(x)=x3-6x2+11x-6
Answer:
[tex]f(x) =(x-1)(x-2)(x-3)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^3-6x^2+11x-6[/tex]
Required
The factored form
[tex]f(x) = x^3-6x^2+11x-6[/tex]
Split
[tex]f(x) =x^3 -3x^2- 3x^2 +2x +9x -6[/tex]
Rearrange as:
[tex]f(x) = x^3 -3x^2 +2x - 3x^2+9x -6[/tex]
Factorize
[tex]f(x) = x(x^2 - 3x + 2) - 3(x^2 - 3x + 2)[/tex]
Factor out [tex]x^2 - 3x + 2[/tex]
[tex]f(x) = (x^2 - 3x + 2)(x - 3)[/tex]
Expand
[tex]f(x) = (x^2 - 2x - x + 2)(x - 3)[/tex]
Factorize
[tex]f(x) = (x(x - 2) - 1(x - 2))(x - 3)[/tex]
Factor out [tex]x - 2[/tex]
[tex]f(x) = (x - 1) (x - 2)(x - 3)[/tex]
Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
_____
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.
rewrite 1/4 with the denominator 24
Answer:
6/24.
Step-by-step explanation:
24 = 4 * 6 so we:
multiply by 6/6:
1 * 6
------ = 6 / 24.
4 * 6
A company has machinery calibrated for a certain widget to manufacture the product so that all of the products will average out to a mean weight of 7 grams and a standard deviation of 2 grams. What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
Answer:
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean weight of 7 grams and a standard deviation of 2 grams.
This means that [tex]\mu = 7, \sigma = 2[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]
What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.
A- (-2,0) and (1,0)
B- (0,1)
C- (0,4)
D- (-4,0) and (2,0)
Answer:
D
Step-by-step explanation:
X line is intercepted at (-4,0) and (2,0)
1. Which expression is equivalent to 4(2x + 3)?
Answer:
The answer is 8x+12.
Step-by-step explanation:
To find an expression equivalent to 4(2x+3), use the distributive property. By using the distributive property, you will get 8x+12. Thus, 8x+12 is an expression equivalent to 4(2x+3).
7X+2=5X+12 how do i show my work for this??
Answer:
Subtract 2 from each side=7X+2-2=5X+12-2
simplify=7X=5X+10
subtract 5x=7X-5X=5X+10-5X
simplify=2x=10
divide both sides by 2=2x/2=10/2
simplify=x=5
use symbolab for setbystep symbolab.com
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
PLS HELP I REALLY NEED HELP FAST
Answer:
1st one
Step-by-step explanation:
20 lb >, < , =304 OZ
-1/7 × -1/6 = ? i need help finding this answer please
Answer:
0.0238095238
Step-by-step explanation:
10
TIME REMAINING
53:49
Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5-1) with multiplicity 1?
Of(x) = (x + 7)(x-7)(x + 5)(x + 1)
Of(x) = (x-7)(x-7)(x - 5)(x + 1)
Of(x) = (x-(7-1)(x-(5 + 1)(x-(7 + 1)(x-(5-))
Of(x) = (x + (7-1)(x + (5 + 1)(x + (7 + 1)(x + (5 - ))
Mark this and retum
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Answer:
(7 - i) and (5 + i) with multiplicity 1 are also roots of this polynomial. The complete set of roots are: Therefore the polynomial is: The correct choice is C
A basketball player made 17 out of 20 free throws at practice. What percent of the free throws did the player miss?
Answer: 15%
Step-by-step explanation:
He made 17 out of 20. 17/20 as a percent would be 85%. 100-85=15, thus your answer 15%.
A culture started with 5,000 bacteria. After 2 hours, it grew to 5,500 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number.
Note: When solving for k, round to four decimal places.
Answer:
8,056
Step-by-step explanation:
I took the application
which of the following graphs could describe the system of equations
a) blue
b)purple
c)green
d)pink
Answer:
It is purple
Step-by-step explanation:
Answer:
purple
because they interset each other
Step-by-step explanation:
