Answer:
8
Step-by-step explanation:
Since the entire triangle was translated, each point gets shifted 9 left and 3 up which does not alter the triangle measurements, so all sides and angles of triangle' is the same as the original.
An airplane heads in the direction of N25°E at 325 mph. A tailwind is blowing in the direction N40°W at 50 mph. What is the actual velocity of the plane?
A) 315.786 mph
B) 349.084 mph
C) 438.064 mph
D) 121860.018 mph
In order to fully understand the actual velocity of the airplane bearing, we've carefully drawn out the sketch.
From the image below, by applying the cosine rule to calculate the actual velocity of the plane from the starting point, we have:
b² = a² + c² - 2ac Cos B
where;
a = 50 mph c = 325 mph∠B = 65° + 50° = 115°b² = (50² + 325²) - (2 × 50 × 325 × Cos 115°)
b² = 2500 + 105625 - (32500 × (-0.4226))
b² = 108125 - (-13734.5)
b² = 121859.5
[tex]\mathbf{b =\sqrt{121859.5 }}[/tex]
b = 349.08 mph
Therefore, we can conclude that the actual velocity of the airplane from its starting point is 349.08 mph.
Learn more about bearing and distance here:
https://brainly.com/question/19017345?referrer=searchResults
Solve - 4x + 2 > 26.
Need awnsers please
Answer:
1_ 129 , 51
2_ b
3_ 40
Step-by-step explanation:
1_ we can represent the bigger angle with x and smaller one with y
and as given, y is smaller than x by 78
so y = x - 78 (1)
as x + y = 180
we put y as we did in (1)
x + x - 78 = 180
so 2x = 258
so x = 129
and y will be 51
2_ from the figure we find the two angles form one angle = 90 degree
3_ from the defenition of complementary angles
m(c) + m(d) = 90
7r + 5 + 8r + 10 = 90
15r + 15 = 90
r = 5
so m(c) will be equal 7*5 + 5 = 40
A person picks 250 apples an hour and works for 5 hours a day. How many apples can be picked in 2 weeks, assuming apples are picked each day??
Answer:
17,500 Apples in 2 weeks
Step-by-step explanation:
250 apples*5 hours*14 days= 17,500 Apples in 2 weeks
20x2 y(x2 - y2) and 35xy?(x - y)
lcm
Answer:
Correct option is
HCF of 20 and 35 = 5
HCF of x2yandxy2=xy
HCF of (x2−y2),i.e.,(x−y)(x+y)
and (x−y)=(x−y)
∴ReqdH.C.F=5xy(x−y)
Step-by-step explanation:
hiiii ur so cute
Aimee deposited $250 into a savings account with the simple interest of 6% per year.
After 4 years, how much money, in total, will she have in her account?
Answer:
Step-by-step explanation:
Interest=principal*rate*time/100
Interest=240$
Amount= principal + interest
Amount=$490
What fraction is 1.64 equal to?
Answer:
41/25
Step-by-step explanation:
Evaluate the following expresslon: -2|9|.
18
-11
-18
11
Answer:
-18
Step-by-step explanation:
The absolute value is only on the 9, and the absolute value of positive 9 is positive 9. Multiply by negative 2 and you get -18.
An airplane travels due east 75 miles and then due north 65 miles. How far is the airplane from its starting point? Round to the nearest hundredth of a mile.
I will mark brainliest
Answer:
99.25 milesStep-by-step explanation:
The straight line from the starting point forms a hypotenuse of the right triangle with the legs 75 and 65 miles. Use Pythagorean.
The distance is:
[tex]\sqrt{75^2+65^2} = \sqrt{9850} = 99.25[/tex] miles (rounded)Using Pythagorean theorem
[tex]\\ \rm\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \rm\longmapsto H^2=75^2+65^2[/tex]
[tex]\\ \rm\longmapsto H^2=9850[/tex]
[tex]\\ \rm\longmapsto H=\sqrt{9850}[/tex]
[tex]\\ \rm\longmapsto H=99.247[/tex]
[tex]\\ \rm\longmapsto H=99.25miles[/tex]
How to write a book report plz help
Answer:
[tex]name \: of \: the \: book \\ auther \: of \: book \\about \: auther \: shortly \\ content \: of \: the \: book \\ comparison \: with \: any \: social \: issue \\ relevence \: of \: that \: in \: present \: days \\ important \: peoples \: thoughts \: about \: that \: book \\ ur \: opinion \: about \: it \\ i \: hopethis \: helps \: you[/tex]
Answer:
Depends on the level, you are writing!! Check the pictures below.
Step-by-step explanation:
Sam bought 8 new trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did sam start with?
Answer:
(8 + A) = 80 / 2 =40
A=72
Step-by-step explanation: Simple if sam bought 8 trading cards he obviously had some to start with and if half of that was 40 then the complete set was 80 and 80 - 8 is 72.
find x if b is the midpoint of the line AC.
AB=6x-6 and BC=72
Answer:
[tex]if \: b \: is \: the \: mid \: point \: then \: \\ ab = bc \\ then \: 6x - 6 = 72 \\ 6x = 72 + 6 \\ 6x = 78 \\ x = \frac{78}{6} \\ x = 13 \\ thank \: you[/tex]
This question is simply about division of line segments.
x = 13
We see that point B is the mid point of line AC. This means that;
AB = AC
Now, since AB = 6x - 6 and BC = 72Thus, 6x - 6 = 72
Add 6 to both sides to get;
6x = 78
divide both sides by 6 to get;
x = 13
read more here; brainly.com/question/10838483
Ms. Jacobs is a photographer. For each job she charges $135 for the first hour she works and $100 for each additional hour. Ms. Jacobs charged a total of $535 for a job on Friday. Which equation can be used to determine h, the number of additional hours she worked on this job? MI - A 135h + 100 = 535 B 135 + h + 100 = 535 SI - C 135 + 100h = 535 PSA - D 135h = 535 + 100 is
Answer:
The answer is C, 135 + 100h = 535.
Step-by-step explanation:
H can't be multiplied by 135, since that's only for one hour. That value never changes, so it can't be A. It's not B because that implies that she starts out by charging $235 for the first hour, plus the # of additional hours, which doesn't make sense. And it's not D because the total amount of $ that she receives must EQUAL 535, but there is another number on the same side with 535. Therefore, the only answer that remains is C.
P.S. She worked 4 additional hours.
please help asap show work and dont put links
Answer:
a. 41
b. -31
c. 25/3, no
Step-by-step explanation:
when it says find f(14) the number inside the parenthesis is x, so you just plug that number into the equation which in this case is 3x-1. for c it says find the input if the output is 24. so basically the output is f(x) or y and the input is x. so 3x-1 = 24.
carlas rectangular picture frame is 10 inches wide and 12inches long, which picture frame is similar but not congruent to carlas picture frame
Answer:
12 inches wide 15 inches long
Step-by-step explanation:
Any length of sides that dont have the same side-side ratio with carlas rectangular picture frame (example: 10/12 [tex]\neq[/tex] 12/15)
the ratio of the number of adults to the number of students at the prom has to be 1:10. Last year there were 450 more students than adults at the prom. If the school is expecting the same attendance this year, how many adults have to attend the prom
Answer:
about 48 adults , because you have to divide the 477 by 10
Step-by-step explanation:
I got this question on my test and i chose this and i got it right.
I hope this helps!! :)
Perform the indicated operation.Perform the indicated operation.
-50
-95
-20
none of the above
PLEASE HELP ASAP!!!!
[tex]Hello[/tex] [tex]There![/tex]
Quite easy...
It's -20.
Hopefully, this helps you!!
P.S I love late points.
:>
[tex]AnimeVines[/tex]
Y=DB-3 solve for d. These equations are still tricky for me.
Navigate 6 plus negative 2
-8 is the answer
Step-by-step explanation:
hope it will help you
276.4 rounded to the nearest tenth
Answer:
This is the nearest tenth already.
Answer:
276.4 rounded to the nearest tenth = 276.4
Step-by-step explanation:
round 276.4 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.
See the attachment for more examples
Find the value of x.
[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]
Round your answer to the nearest hundredth
Answer:
∠ B ≈ 64.62°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{7}[/tex] , then
∠ B = [tex]cos^{-1}[/tex] ([tex]\frac{3}{7}[/tex] ) ≈ 64.62° ( to the nearest hundredth )
Betsy wanted to find out if people in her town would purchase lemonade from a lemonade stand set up on the corner of Sycamore and 10th Street Out of 2546 families in the town, she found 15
to survey by assigning a number to each family and using a random number generator to choose a number. Out of the families surveyed, 12 families said that they would purchase the lemonade,
and 3 families said that they would not.
A friend of hers said that her survey results would not be significant. Why would they not be?
AO The survey was only done in one town instead of in multiple towns.
B. Only 20% of the people surveyed would not purchase from a lemonade stand.
c. A random number generator could not choose the correct families to participate
D. Betsy did not survey enough people in her town.
Answer:
I think it is D
Step-by-step explanation:
Point R is on line segment QS
. Given QR=3x−8, QS=3x, and RS=2x, determine the numerical length of RS .
Answer: 8
Step-by-step explanation:
QS = RS + QR
3x = 2x + 3x-8
3x = 5x - 8
8 = 2x
8/2 = x
4 = x
RS = 2x = 2(4) = 8
calculate the total surface area of the give cuboid
At the end of a snowstorm, Katherine had 18 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 2.5 inches per hour. Assuming no more snow was falling, how much snow would Katherine have on her lawn 4 hours after the snow began to melt? How much snow would Katherine have on her lawn after t hours of snow melting?
After 4 hours of snow melting, there would be 8 inches of snow with the rate of 2.5 inches per hour Katherine would have on her lawn and after t hours the snow would be = 18 - 2.5*t inches.
In this question, the amount of snow melted is required to calculate to know the amount of snow on the lawn, can be calculated by:
the melted amount = rate of melting × timeGiven:
The total amount of snow = 18 inches
Rate of melting = 2.5 inches
Time = 4 hours
Solution:
The amount melted needs to be calculated first in order to find left snow, therefore, putting values in the formula mention above,
the melted amount = rate of melting × time
the melted amount = 2.5 × 4 inches
the melted amount = 10 inches
Then the final amount would have on the lawn = starting amount−melted snow
= 18−10 inches
= 8 inches
Part b) Snow after t hours:
Starting amount= 18 inches
Melted snow= inches per hour×t
= 2.5×t
= 2.5t
Final amount = starting amount−melted snow
= 18 -2.5t
Thus, the correct answer is - 8 inches and 18 -2.5t
Learn more:
https://brainly.com/question/19122325
Can anyone plz ans it correctly I will mark as brainliest plz ans it correctly
1. ∠AGH
Alternate angle — ∠DHG
Corresponding angle — ∠CHF
Co-interior angle — ∠GHC
Vertically opposite angle — ∠EGB
2. ∠CHG
Alternate angle — ∠BGH
Corresponding angle — ∠AGE
Co-interior angle — ∠AGH
Vertically opposite angle — ∠FHD
3. ∠DHG
Alternate angle — ∠AGH
Corresponding angle — ∠BGE
Co-interior angle — ∠HGB
Vertically opposite angle — ∠CHF
4. ∠BGH
Alternate angle — ∠CHG
Corresponding angle — ∠DHF
Co-interior angle — ∠GHD
Vertically opposite angle — ∠AGE
Find the coordinates of the point
7
10 of the way from A to B.
-6
-4
-2
2
4
6
8
10
12
14
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
A(−4,−8)B(12,7)
Answer:
The answer is
B. 6, 8, 11, 1, 7, 14, 10
C. 14, 10, 6, 9, 11, 8, 1
Step-by-step explanation:
Ajay is on the swim team. He improved his time on
the 50-yard freestyle from 32 seconds to 31 seconds.
What's the percent decrease in his time?
Answer:
5%
Step-by-step explanation
50/32= 1.56yard per second ; 50/31= 1.61 yard per second
1.61-1.56= 0.05* 100= 5%
Round to the nearest thousand. 5,568
Answer:
Round to the nearest thousand.
5,568
= 5,000
Round to the nearest thousand
5,568
= 5,000