Answer:
The component form of the velocity of the airplane is [tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex].
Step-by-step explanation:
Let suppose that a bearing of 0 degrees corresponds with the [tex]+x[/tex] direction and that angle is measured counterclockwise. Besides, we must know both the magnitude of velocity ([tex]\|\vec v\|[/tex]), in miles per hour, and the direction of the airplane ([tex]\theta[/tex]), in sexagesimal degrees to construct the respective vector. The component form of the velocity of the airplane is equivalent to a vector in rectangular form with physical units, that is:
[tex]\vec v = \|\vec v\|\cdot (\cos \theta \,\hat{i}+\sin \theta\,\hat{j})[/tex] (1)
If we know that [tex]\|\vec v\| = 450\,\frac{mi}{h}[/tex] and [tex]\theta = 330^{\circ}[/tex], then the component form of the velocity of the airplane is:
[tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex]
The component form of the velocity of the airplane is [tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex].
Last week, Russell bought 8 pizzas and 10 cakes for a total of $160.
Today, Russell bought 26 pizzas and 8 cakes for a total of $226.
Assuming neither item has changed in price, what is the cost of a pizza in dollars?
Answer:
$5
Step-by-step explanation:
Create a system of equations where p is the cost of a pizza and c is the cost of a cake
8p + 10c = 160
26p + 8c = 226
Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5
-32p - 40c = -640
130p + 40c = 1130
Add these together:
98p = 490
p = 5
So, the cost of a pizza is $5
A pack of 8 batteries costs £4.99.
How much does each battery cost?
Give your answer to the nearest penny.
Answer:
0.62
Step-by-step explanation:
4.99/8=0.62
A quadrilateral must be a parallelogram if two the opposite sides are 1. Congruent only 2. Parallel only 3. Congruent and parallel 4 parallel and the other two sides are congruent
Answer:
what’s the question
Step-by-step explanation:
1. Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram. 2. Opposite Angles Theorem Converse: If both pairs of opposite angles of a quadrilateral are congruent, then the figure is a parallelogram.
I need help finding the period of this sine graph
Answer:
10
Step-by-step explanation:
from -5 to 5 is a complete period. So the period is 10.
What are the roots of the equation 2x2 - 6x + 3 = 0?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given possible roots have the form that we'd get by using the quadratic formula, so let's start with that. Here the coefficients are {2, -6, 3}, and so the discriminant (b^2 - 4ac) is (-6)^2 - 4(2)(3), or 36 - 24 = 12.
Because the discriminant is positive we know immediately that there are two different real roots.
-(-6) ± √12 6 ± √12
x = ------------------ = ---------------- These are equivalent to Answers E and F.
2(2) 4
30 points !!!!!!! math
Answer:
uhm. picture?
Step-by-step explanation:
Answer:
u didnt add it
Step-by-step explanation:
16. What are the missing sides?
TE
4 cm
3 cm
?
?
5 cm
10 cm
Write the equation(y=mx) for the line that contains the points (6,6) and (10,14). No picture
Answer:
y = 2x - 6
Step-by-step explanation:
14-6/10-6 = 8/4 = 2 = slope
6 = 2(6) + b
6 = 12 + b
b = -6
I’m confused on this question
Answer:
percent will be
65÷90×100which the answer will be
72.2%Step-by-step explanation:
hope it helps
For an area of 18m²,the amount of a fertilizer required is 675g.
a) how much is needed to fertilise 11m²?
b) what area will 862.5g fertilise?
Answer:
a) 412.5g
b)23m²
Step-by-step explanation:
a)18m²=675g
11m²=x
by cross multiplication,
18x=11×675
18x=7425
x=7425/18
x=412.5g
b)18m²=675g
y=862.5g
18×862.5=675y
15525=675y
15525/675=y
y=23m²
Answer:
Step-by-step explanation:
This is a rate problem so using ratios is a good way to calculate the answer for different areas or amounts
675 g per 18 m² 675/18 g/m²
a) How many grams for 11m²
675/18 g/m² = ??? / 11 m² i cross multiply 675 times 11 divide by 18
or more simply multiply both side by 11
solving for the ???
(675)(11) g m² / 18 m² = ??? g = 412.5 grams ( the m²/m² cancel)
b) what area can be fertilised with 862.5 g? again applying ratio
this time we know the g and want to calculate an unknown area
675 / 18 = 862.5 / ??? this will take one more step since the ??? is
in the denominator
18 / 675 = ??? / 862.5 I just inverted both sides
18m² / 675g = ??? / 862.5g again simply multiply both sides by 862.5g
(18m²)(862.5g) / (675g) = ??? this time the grams cancel leaving m²
??? = 23 m²
helppppp PLSSSSSSSSS lol
Answer:
C
Step-by-step explanation:
-7 + 3 = -4
x > -4
=
hi please help! i’m somehow stuck on this
Answer:p=12
Step-by-step explanation:
(9p)+(p+21)+(p+27)=180
9*12=108
12+21=33
12+27=39
108+33+39=180
so p=12
Find the value of y when x=-5
y=7x
Answer:
y = -35
Step-by-step explanation:
y=7 * -5
7 *-5 = -35
y = -35
Someone Pls solve both fast
Answer:
#1) x=38
#2) x=12
Step-by-step explanation:
For (1)
Since its a triangle we know that all 3 interior angles added up is gonna eqaul 180 degrees. So we already have 2 angles which are 21 and 17. You add those up and you’d get 38. Now since the final angles is unknown we can just make a simple equation of 38+x=180 since we know 2 angles and we need 1 more and a triangle is 180 degrees alli ddded up together. You’d get 142 for that angle. X is adjacent to that angle and they form a straight line so it also has to be 180. We got 1 side and so we subtract 180-142= 38. X will be 38.
For (2)
Since its 2 parallel lines cut by a transversal and we have two same side interior angles we know its gonna be supplementary Which means that both those angles added up will be 180. Now we have the two different angles so we add them up and solve for x. (10x+17)+(3x+7)= 180. Commbine like terms which will turn out to be 13x+24=180. Subtract 24 on both sides. 13x= 156. Solve for x by diving 13 on both sides which will lead to x= 12
Help me pleaseee!!!!
Answer: B
The diameter is 3, so you have to divide by 2 to get the raduis. After that just plug in the height and radius and that's your answer!
Hope this helped you!
In Orlando Florida the high temperature was 85 degrees Fahrenheit on Saturday and 79 degrees Fahrenheit on Sunday what is the percent of change in the high temperature from Saturday to Sunday to the nearest whole percent
Answer:
[tex]7\%[/tex]
Step-by-step explanation:
Initial temperature = 85 degrees Fahrenheit
Final temperature = 79 degrees Fahrenheit
Percentage change in temperature is given by
[tex]\dfrac{|\text{Final temperature}-\text{Initial temperature}|}{\text{Initial temperature}}\times 100\%\\ =\dfrac{|79-85|}{85}\times 100\%\\ =7.05\approx 7\%[/tex]
The change in the high temperature from Saturday to Sunday is [tex]7\%[/tex].
I took a picture of the problem.
Answer:
0.25
Step-by-step explanation:
In the 52-card pack, 13 cards are diamond cards. Thus, the probability of drawing a diamond card is 13/52, or 0.25.
find the value of x.write answer as a fraction in simplest form or a decimal rounded to the nearest hundredth
Answer:
Step-by-step explanation:
Triangles EFG and FGH are similar.
x/15 = 36/39
x/15 = 12/13
x = 15*12/13 = 180/13 ≈ 13.8 units
The required measure of x is given as 5.8 in the given triangle.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.
What are similar triangles?Similar triangles are triangle that has a relationship as of some scale factor.
here,
From the figure,
From triangle GHF and triangle EGF
x / 15 = 15 / 39
x = 225 / 39
x = 5.8
Thus, the required measure of x is given as 5.8 in the given triangle.
Learn more about triangles here:
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The ratio sin 30° : tan 45º can be written in the form 1 : n.
Find the value of n.
Answer:
n = 2
Step-by-step explanation:
sin 30° = ½
tan 45° = 1
then
sin 30° : tan 45° = 1 : n
½ : 1 = 1 : n
n = 2
The value of n for the trigonometric expression will be n = 2
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the ratio sin 30°: tan 45º can be written in form 1: n. The value of n will be calculated as:-
sin 30° = ½
tan 45° = 1
Then,
sin 30° : tan 45° = 1 : n
½ : 1 = 1 : n
n = 2
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Nicole makes $6.25 an hour babysitting. How much money will Nicole earn if she works 12 hours?
Answer:
$75
Step-by-step explanation:
Nicole makes $75 in 12 hours.
I hope this helped, if you have any other questions you may ask me.
BRAINLIST!!
The number of pages read by eight different students during a one hour reading class was used to create the box plot shown above. Which of the sets of numbers below matches the given box plot?
Answer:
C. Pages Read in an Hour: 10, 14, 16, 16, 18, 19, 21, 25
Step-by-step explanation: Got it on my study island question.
Please solve ASAP no links please
Answer:
Lateral surface area = 280 square inches
Step-by-step explanation:
Lateral surface area of a prism = (Perimeter of the base) × height of the prism
Perimeter of the base = 8 + 15 + 17
= 40"
Height of the prism = 7"
Therefore, Lateral surface area of the prism = 40 × 7
= 280 square inches
Rank the following in order from most precise to least precise.
1500 grams
8.43 inches
1580 meters
5.426 seconds
Answer:
1st most = 8.43 inches
2nd most = 5,426 Seconds
3rd most = 1580 meters
4th most = 1500 grams
Step-by-step explanation:
8.43 inches = 0.7025 feet is most precise as it rounded to 0.7 feet it wouldn't be precise enough.
5,426 Seconds = 01:30:26. hrs mins sec can be converted.
1580 meters = 1.58 km = 158000cm hasn't been properly converted as zeros get lost.
1500 grams = 1.5kg hasn't been precisely converted as zeros get lost.
2 EASY QUESTIONS HELP
Answer:
a. 3 5/6
b. 5 1/7
Step-by-step explanation:
Answer:
5.83333333333
5.14285714286
Step-by-step explanation:
A greeting card cost four dollars before tax. A customer has a 15% discount. Then the 5% sales tax is added. How much will the customer pay for the card?
Given:
Greeting card cost before tax = $4
Discount = 15%
Sales tax = 5%
To find:
How much will the customer pay for the card?
Solution:
It is given that the cost of the greeting card before tax is $4.
After 15% discount, the cost of the greeting card is:
Cost of card after discount [tex]=4-\dfrac{15}{100}\times {4}[/tex]
[tex]=4-0.6[/tex]
[tex]=3.4[/tex]
The cost of card after 5% sales tax is:
Cost of card after tax [tex]=3.4+\dfrac{5}{100}\times 3.4[/tex]
[tex]=3.4+0.17[/tex]
[tex]=3.57[/tex]
Therefore, the customer will pay $3.57 for the greeting card.
Use the figure at the right to name the following.
8. a pair of supplementary angles
9. a pair of complementary angles
10. a pair of vertical angles
Answer:
Supplementary: AKB and BKG
Complementary: FGE and EGD
Vertical: IJH and KJG
Step-by-step explanation:
The correct options are given below,
Supplementary: AKB and BKG
Complementary: FGE and EGD
Vertical: IJH and KJG
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.
A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.
Given that there are different lines crossing each other at different angles. The value of the different angles can be named as,
A pair of supplementary angles: AKB and BKG
A pair of complementary angles: FGE and EGD
A pair of vertical angles: IJH and KJG
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Help plz!!
what is number 5 and 8?
Answer:
x=21
Step-by-step explanation:
for number 5 i think thats the awnser
How many triangles can be constructed with side lengths of 4, 8, and 13?
A. 0
B. 1
C. More than 1
Answer:
yeah i dont know i want my points xd 494 4944
Step-by-step explanation:
homework 2 solving systems by substitution
Can someone help me find the mistake!!!!!
Answer:
She supposedly multiplies 4*4*16*-3y but distributes it correctly as if she put (16*4)+(4*-3y) which equals 64-12y.
The work shown is a mistake, the answer of y=5 isn't.