Answer:
The airplane is 222 miles far from the airport.
Step-by-step explanation:
After a careful reading of the statement, distances can be described in a vectorial way. A vector is represented by a magnitude and direction. That is:
Airplane flies 290 miles (east) (290 km with an angle of 0º)
[tex]\vec r_{A} = (290\,mi)\cdot i[/tex]
Airplane flies 290 miles (northwest) (290 km with and angle of 135º)
[tex]\vec r_{B} = [(290\,mi)\cdot \cos 135^{\circ}]\cdot i + [(290\,mi)\cdot \sin 135^{\circ}]\cdot j[/tex]
The resultant vector is equal to the sum of the two vectors:
[tex]\vec r_{C} = \vec r_{A} + \vec r_{B}[/tex]
[tex]\vec r_{C} = \{(290\,mi) + \left[(290\,mi)\cdot \cos 135^{\circ}\right]\}\cdot i + \left[(290\,mi)\cdot \sin 135^{\circ}\right]\cdot j[/tex]
[tex]\vec r_{C} = (84.939\,mi)\cdot i + (205.061\,mi)\cdot j[/tex]
The magnitude of the final distance of the airplane from the airport is obtained by the Pythagorean Theorem:
[tex]\|\vec r_{C}\|=\sqrt{(84.939\,mi)^{2}+(205.061\,mi)^{2}}[/tex]
[tex]\|\vec r_{C}\| = 221.956\,mi[/tex]
The airplane is 222 miles far from the airport.
What is the length of chord ML? 20 units 24 units 26 units 30 units
Answer: 24 units
Step-by-step explanation:
MO, NO and LO are radii.
If MO = 13, THEN LO = NO = 13
IF NO = 13 and NP = 8, THEREFORE,
PO = NO - NP
PO = 13 - 8 = 5
USING PYTHAGORAS, WE CAN FIND MP:
MP = Sqrt(MO^2 - PO^2)
MP = sqrt(13^2 - 5^2)
MP = sqrt(169 - 25)
MP = sqrt(144)
MP = 12 units
P is the midpoint of Segment ML,
THEREFORE,
MP = PL
ML = MP + PL
ML = 12 + 12
ML = 24 units
Answer: 24
Step-by-step explanation:
edge
simplify the expression without negative exponents
Answer: [tex]-50a^{11}b^{9}[/tex]
Step-by-step explanation:
Any negative exponent can be moved to the other side of the fraction as a positive exponent.[tex]\frac{1}{x^{-3}}=x^3\\ \frac{x^{-3}}{1}=\frac{1}{x^3}[/tex]
Thus, simply move the negative exponents from the bottom into the numerator to get. -10a^2*b^4*5a^9*b^5. Then, use the exponent rule to get [tex]-50a^{11}b^{9}[/tex]
Hope it helps <3
98 percent of all babies survive delivery. However, 15 percent of all births involveCesarean (C) sections, and when a C section is performed, the baby survives 96percent of the time. If a randomly chosen pregnant woman does not have a Csection, what is the probability that her baby survives?
S - a randomly chosen pregnancy result in a successful delivery
C - a randomly chosen pregnancy ending in a C section
I need Help!!! Will give Brainliest ABC≅DEF Find the following: 1. x = 2. CB = 3. FE = 4. y = 5. ED = 6. FD = 7. AB = 8. AC = 9. Area =
Answer:
ABC≅DEF
x = 2
CB = 3
FE = 4
y = 5
ED = 6
FD = 7
AB = 8
AC = 9
In triangle ABC=
Side AC= 9 cm
Side CB= 3 cm
Area= [tex]\frac{1}{2}[/tex]×[tex]b[/tex]×[tex]h[/tex]
=13.5 cm^2
In triangle DEF=
Side FE= 4 cm
Side FD= 7 cm
Area= [tex]\frac{1}{2}[/tex]×[tex]b[/tex]×[tex]h[/tex]
=14 cm^2
how to solve 10 + (2 × 3)^2 ÷ 4 × (1/2)^3
Answer:
11.125Step-by-step explanation:
[tex]10 + {(2 \times 3)}^{2} \div 4 \times {( \frac{1}{2}) }^{3} [/tex]
To raise a product to a power, raise each factor to that power
[tex] = 10 + 4 \times 9 \div 4 \times {( \frac{1}{2} )}^{3} [/tex]
To raise a fraction to a power, raise the numerator and denominator to that power
[tex] = 10 + 4 \times 9 \div 4 \times \frac{1}{8} [/tex]
Any expression divided by itself equals 1
[tex] = 10 + 1 \times 9 \times \frac{1}{8} [/tex]
Any expression multiplied by 1 remains the same
[tex] = 10 + 9 \times \frac{1}{8} [/tex]
Calculate the product
[tex] = 10 + \frac{9}{8} [/tex]
Write all numerators above the common denominator
[tex] = \frac{80 + 9}{8} [/tex]
Add the numbers
[tex] = \frac{89}{8} [/tex]
Divide
[tex] = 11.125[/tex]
Hope this helps..
Best regards!!
Answer:
11 1/8
Step-by-step explanation:
Okay so I messed up big time. So I had to edit this! I am really sorry if you read mine before. I fixed mine. So this is the right answer. Sorry!
Plzzzzz Help I really need help
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5
Answer:
(1.5,-3) and (4.5,-3)
Step-by-step explanation:
The graph shows the distance Ted traveled from the market in miles (y) as a function of time in seconds (x). The graph is divided into four segments labeled P, Q.
R. and S
S
Distance
(mi)
R
P
Time (sec)
Which segment shows Ted waiting for a cab?
A) P
B) Q
C) R
D) S
Explanation:
The flat horizontal portion S is where the distance (y) does not increase or decrease. So Ted is stationary during this time frame.
In terms of speed, we would say speed = distance/time = (change in y)/(change in x). Note how this is the slope.
Rise = 0 because the horizontal line does not go up or down. The run is any positive number, though convention usually has Run = 1. Therefore, slope = rise/run = 0/1 = 0. All flat horizontal lines have a slope of 0 to indicate no upward or downward movement.
Increased by 75% is 35 ?
Answer:
20
Step-by-step explanation:
20 + (75% × 20) =
20 + 75% × 20 =
(1 + 75%) × 20 =
(100% + 75%) × 20 =
175% × 20 =
175 ÷ 100 × 20 =
175 × 20 ÷ 100 =
3,500 ÷ 100 =
35;
What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)= ____ or ____%
Answer:
0.8185 or 81.85%
Step-by-step explanation:
The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.
The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.
For 8 inches:
[tex]z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2[/tex]
For 12.5 inches:
[tex]z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1[/tex]
From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%
BRAINLIEST!!! MATH HELP ME ASAP PLS!!!
Answer:
-0.0062 and 27.5
Step-by-step explanation:
You can write the equation of the line using the 2-point form:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
The given values of the variables are ...
(h, T) = (10000, -34.5) and (15000, -65.5)
Putting these into the formula, we have ...
T = (-65.5 -(-34.5))/(15000 -10000)(h -10000) +(-34.5)
T = -31/5000(h -10000) -34.5
T = -0.0062h +62 -34.5
T = -0.0062h +27.5
The appropriate choice is ...
-0.0062 and 27.5
Uma makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes.
Scale 1: 1 centimeter = 3 meters.
Scale 2: 1 centimeters = 4 meters.
Options
A)Scale 1: 45 m; Scale 2: 60 m
B)Scale 1: 60 m; Scale 2: 45 m
C)Scale 1: 36 m; Scale 2: 27 m
D)Scale 1: 27 m; Scale 2: 36 m
Answer:
Scale 1: 1 centimeter = 3 meters.
Scale 2: 1 centimeters = 4 meters.
Step-by-step explanation:
your answer should be A
15*3=45
15*4=60
Answer:
A.)Scale 1: 45 m; Scale 2: 60 m
Step-by-step explanation:
bcuz......uhhhhhhh, ummmmmm:/
La suma de dos números es 50 y la diferencia es 22. ¿Cuáles son los números?
Answer:
(3,2)
Step-by-step explanation:
Just took the test
If y is inversely proportional to x and y = 5, when x = 7, find the value of y when x = 70
Answer:
y = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given y is inversely proportional to x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 5 when x = 7, then
5 = [tex]\frac{k}{7}[/tex] ( multiply both sides by 7 )
35 = k
y = [tex]\frac{35}{x}[/tex] ← equation of variation
When x = 70, then
y = [tex]\frac{35}{70}[/tex] = [tex]\frac{1}{2}[/tex]
Added to Six Flags St. Louis in the Colossus is a giant Ferris wheel. Its diameter is 165 feet, it rotates at a rate of about 1.6 revolutions per minute, and the bottom of the wheel is 15 feet above the ground. Determine an equation that relates a rider's height above the ground at time . Assume the passenger begins the ride at the bottom of the wheel.
Answer:
The height of the rider as a function of time is [tex]h(t) = 15 + 82.5\cdot (1-\cos 0.168t) \,[ft][/tex], where time is measured in seconds.
Step-by-step explanation:
Given that Ferris wheel rotates at constant rate and rider begins at the bottom of the wheel, the height of the rider as a function of time is modelled after this expression:
[tex]h(t) = h_{bottom} + (1-\cos \omega t)\cdot r_{w}[/tex]
Where:
[tex]h_{bottom}[/tex] - Height of the bottom with respect to ground, measured in feet.
[tex]\omega[/tex] - Angular speed of the ferris wheel, measured in radians per second.
[tex]t[/tex] - Time, measured in seconds.
[tex]r_{w}[/tex] - Radius of the Ferris wheel, measured in feet.
The angular speed of the ferris wheel, measured in radians per second, is obtained from the following expression:
[tex]\omega = \frac{\pi}{30}\cdot \dot n[/tex]
Where:
[tex]\dot n[/tex] - Angular speed of the ferris wheel, measured in revolutions per minute.
If [tex]\dot n = 1.6\,rpm[/tex], then:
[tex]\omega = \frac{\pi}{30}\cdot (1.6\,rpm)[/tex]
[tex]\omega \approx 0.168\,\frac{rad}{s}[/tex]
Now, given that [tex]h_{bottom} = 15\,ft[/tex], [tex]r_{w} = 82.5\,ft[/tex] and [tex]\omega \approx 0.168\,\frac{rad}{s}[/tex], the height of the rider as a function of time is:
[tex]h(t) = 15 + 82.5\cdot (1-\cos 0.168t) \,[ft][/tex]
Which expression is equivalent to -80
Answer:
what expressions?
Step-by-step explanation:
–3(6 – 2x) ≥ 4x + 12? PLZ HELP
Answer:
x ≥ 15Step-by-step explanation:
–3(6 – 2x) ≥ 4x + 12
Expand the terms in the bracket
We have
- 18 + 6x ≥ 4x + 12
Group like terms
that's
6x - 4x ≥ 12 + 18
2x ≥ 30
Divide both sides by 2
x ≥ 15
Hope this helps you
Step-by-step explanation:
no worries
if u multiply by a negative number the sign changes
so it can -18 + 6x <= 4x + 12
take x to one side and others to other side
6x - 4x <= 18 + 12
2x <= 30
x<= 15
so solutions can be from ....-2,-1,0,1,2,3....
PLSSSSS HELLLLLLP!!!!!
Answer:
[tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex] will be the answer.
Step-by-step explanation:
The given expression is,
[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]
By solving this expression,
[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]
= [tex]\frac{3n(n-4)}{(n+3)(n-4)}+\frac{5(n+3)}{(n+3)(n-4)}[/tex]
= [tex]\frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]
= [tex]\frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]
= [tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]
Therefore, fraction given in option (2) will be the answer.
The app store is offering 15 percent off any purchase for one day, only you decide to buy a game app that cost 12 dollars and 90 cents. If you buy it during the sale, what is the amount of the discount?
Answer:
$1.935
Step-by-step explanation:
As the store is offering a 15% discount, you have to calculate the 15% of the price of the game app to find the amount of the discount:
Price of the game app= 12.90
12.90*15%=1.935
According to this, the answer is that the amount of the discount if you buy the game app during the sale is $1.935 and you would have to pay: 12.90-1.935= $10.965.
look at the pattern below.How should the tird shape be labeled
Answer:
You havent showed us the pattern
HELP PLS WITH BRAINLIEST
Answer:
cos C
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos C = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{12}{13}[/tex]
SB
Compare the process of solving
|x - 11 +1 < 15 to that of solving
|x - 11 +1 > 15.
DONE
Answer:
x = 0
Step-by-step explanation:
i) x - 11 + 1 < 15
x - 10 < 15
x < 10 + 15
x < 25
ii) x - 11 + 1 > 15
x - 10 > 15
x > 25
Therefore to compare (i) and (ii)
25 < x < 25
In any case, x = 0
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
2
Step-by-step explanation:
In order to make the equation undefined, you should make the denominator 0. Remember that dividing anything by 0 will become undefined.
[tex]2x-4=0\\\frac{2x=4}{2} \\x=2[/tex]
Answer:
[tex]\boxed{x = 2}[/tex]
Step-by-step explanation:
A rational expression is undefined when Denominator = 0
Here Denominator = 2x-4
So,
=> 2x - 4 = 0
Adding 4 to both sides
=> 2x = 4
Dividing both sides by 2
=> x = 2
pls let me know what you get for the question below
Answer:
233.37
Step-by-step explanation:
so between each gondola is 20.95 so you will multiply it by 35 not 36 (because between the first you go round and come back to the same first you started so no space between first and last) then get circumference as 733.25 using
[tex]c = \pi \: d[/tex]
you get diameter
Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Answer:
0
Step-by-step explanation:
Answer: it's C. 0
Also Happy early Christmas
Solve by Cross multiplication method x+2y+1=0 and 2x-3y-12=0
Answer:
x = 3
y = -2
Step-by-step explanation:
x + 2y + 1 = 0
2x - 3y - 12 = 0
Multiply first equation by -2.
-2x + -4y + -2 = 0
2x - 3y - 12 = 0
Add equations.
0x + -7y - 14 = 0
Solve for y.
-7y = 14
y =-2
Put y as -2 in the first equation and solve for x.
x+2(-2)+1=0
x + -4 + 1 = 0
x = 0 + 4 - 1
x = 3
Answer:
[tex]\boxed{x = 3, y = -2}[/tex]
Step-by-step explanation:
[tex]x+2y +1 = 0[/tex]
=> [tex]x+2y = -1[/tex] -------------------(1)
[tex]2x-3y-12 = 0[/tex]
=> [tex]2x-3y = 12[/tex] -------------------(2)
Multiplying (1) by 2
=> [tex]2(x+2y) = 2(-1)[/tex]
=> [tex]2x+4y = -2[/tex] ------------------(3)
Subtracting (3) from (2)
=> [tex]2x-3y+2x-4y = 12+2[/tex]
=> -3y-4y = 14
=> -7y = 14
Dividing both sides by -7
=> y = -2
Now, Put y = -2 in Eq (1)
=> x+2(-2)+1 = 0
=> x -4+1 = 0
=> x - 3= 0
Adding 1 to both sides
=> x = 3
how to convert 0.16 to fraction
4/25
Step-by-step explanation:
16/100, 8/50, 4/25
The net of a solid is shown below:
Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square.
What is the surface area of the solid?
18 square inches
27 square inches
36 square inches
45 square inches
Answer:
The answer is 45 inches².
Step-by-step explanation:
First, you have to find the area of each triangle:
[tex]area = \frac{1}{2} \times base \times height[/tex]
[tex]let \: base = 3 \\ let \: height = 6[/tex]
[tex]area = \frac{1}{2} \times 3 \times 6[/tex]
[tex]area = \frac{1}{2} \times 18[/tex]
[tex]area = 9 \: \: {inches}^{2} [/tex]
Assuming that the formula for surface area of pyramid is Surface area = base area(area of square) × 4(area of triangle):
[tex]base \: area = 3 \times 3 = 9[/tex]
[tex]area \: of \: triangle = 9[/tex]
[tex]s.a = 9 + 4(9)[/tex]
[tex]s.a = 9 + 36[/tex]
[tex]s.a = 45 \: \: {inches}^{2} [/tex]
PLEASE HELP! I WILL GIVE BRAINIEST! Look at the figure below: A triangle ABC is drawn. D is a point on BC such that BD is equal to DC. A straight line joins points A and D. This line extend Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? a Triangle ABD and triangle ECD b Triangle ABC and triangle ECD c Triangle ABD and triangle ADC d Triangle ADC and triangle ABC
Answer:
ADB and ADC
Step-by-step explanation:
SAS is side angle side. so, which 2 triangles have same side, then angle, then side. We have to have it in that specific order.
Answer:
ABD and ECD
Step-by-step explanation:
EDC and ADB are vertical angles, so that is the angle we need for the SAS postulate. The markings on each of the corresponding sides is the same, which means we have 2 congruent sides, as well as an angle.
C equal 3x - 2 of x=5 than what does c equal
Answer:
i need help this too
Step-by-step explanation:
Answer:
13Step-by-step explanation:
Given,
x = 5
Now, let's find the value of C
[tex]c = 3x - 2[/tex]
plug the value of x
[tex] = 3 \times 5 - 2[/tex]
Multiply the numbers
[tex] = 15 - 2[/tex]
Calculate the difference
[tex] = 13[/tex]
Hope this helps..
Best regards!!
What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent.
Answer:
b. Contains four right angles.
Step-by-step explanation:
A parallelogram has two pairs of opposite sides that are both congruent and parallel, as does a rectangle.
A parallelogram usually does NOT have four right angles, but a rectangle does. b Contains four right angles is the difference between a parallelogram and a rectangle.
The diagonals of a parallelogram bisect each other, and so do the rectangle's diagonals.
The opposite angles of parallelograms are congruent, and all four angles of a rectangle are congruent, so this is a similar aspect of both a parallelogram and a rectangle.
Hope this helps!