Step-by-step explanation:
1 mile = 5280 ft
1 hour = 3600 seconds (60 minutes of 60 seconds each).
the open question here is : do we need the ground distance, or really the line of sight distance (e.g. directly above the intersection the distance is 0 ft ground distance but 95ft line of sight distance) ?
based on the above conversions the speed
30 miles per hour = 30×5280 ft per 3600 seconds =
= 158,400 ft / 3600 s = 44 ft/s
so, the balloon moves away from the intersection 44 ft every second.
so, just for ground distance in ft we would have
d = 44t
for the line of sight distance we need to use Pythagoras, as we need to calculate the length of the Hypotenuse (= the line of sight) of the right-angled triangle of ground distance, height and line of sight.
the ground distance is again the same function as before (44t). height is constant (95 ft).
so,
d² = (44t)² + 95² = 1936t² + 9025
d = sqrt(1936t² + 9025)
so, e.g. after 1 second the line of sight distance would be
d = sqrt(1936×1 + 9025) = sqrt(1936 + 9025) =
= sqrt(10961) = 104.6947945... ft
that means although the ground distance increased by 44 ft, the line of sight distance increased only by roughly 10 ft.
that's how right-angled triangles work.
after 2 seconds d = 129.4951737... ft, so, roughly a 25 ft increase compared to 1 second. the change rate of the line of sight distance (the Hypotenuse) will get closer and closer to the (constant) change rate of the ground distance (but will never fully reach it - only in infinity ...).
A baker prepared 264 more cookies than muffins. She sold 3/8 of the cookies and half of the muffins. She had 588 cookies and muffins left altogether. How many cookies did she bake at first?
Answer:
She baked 640 cookies at first.
Step-by-step explanation:
Let cookies be x and muffins be y,
Let cookies remaining be z and remaining muffins be a
x = 264 + y
now,
x - 3/8 of x = z
x - 3x/8 = z
or, (8x-3x)/8 = z
so, z = 5x/8
Now,
y - y/2 = a
or, (2y-y)/2 = a
so, a = y/2
Now,
z + a = 588
or, 5x/8 + y/2 = 588
as we know x = 264 + y,
or, 5(264 + y)/8 + y/2 = 588
or, (1320 + 5y)/ 8 + y/2 = 588
or, (2640 + 10y + 8y)/16 = 588
or, 2640 + 18y = 9408
or, 18y = 9408 - 2640
or, 18y = 6768
so, y = 6768/18
so, y = 376
now,
x = 264 + y
or, x = 264 + 376
so, x = 640
what is the answer help
Answer:
900 batteries
Step-by-step explanation:
First we must find how many batteries does 1 calculator need
we can do this by dividing 160 by 40
which will give us 4 batteries per calculator
then we multiply the amount of calculators we have with 4
225×4 = 900 so we need 900 batteries
Please help me with this question
[tex]volume \: = \frac{1}{3} \times base \: area \: \times \: height \\ [/tex]
Thus :
[tex]80 = \frac{1}{3} \times 24 \times h \\ [/tex]
[tex]h = \frac{80 \times 3}{24} \\ [/tex]
[tex]h = \frac{240}{24} \\ [/tex]
[tex]h = \frac{24 \times 10}{24} \\ [/tex]
[tex]h = 10 \: cm[/tex]
Thus the last option is the correct answer.
Solve For x ~
19x = 361
Thnx<3"
[tex]\bold{Heya}[/tex] ~
✰ [tex]\sf{Solve~for~x}[/tex] ✰
[tex]\sf{19x~=~361}[/tex]
[tex]\huge \boxed {\underline{Explanation}}[/tex]
—————————————
[tex]\sf{19x~=~361}[/tex]
[tex]\sf{Divide~both~sides~by~19}[/tex]
[tex]\sf{\frac{19x}{19}~=~\frac{361}{19}[/tex].
[tex]\sf{Simplify}[/tex]
[tex]\sf{x~=~19}[/tex]
Hope It Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer~:}[/tex]
Jace •᎑•
1. A triangle has two angles that measure 50° and 40°. The third angle is not labeled yet. Mark each of the
statements that are true about it.
All sides have different lengths
Two sides have the same length
The third angle measures 90°
The third angle measures 110°
The third angle measures 50°
Answer:
all sides have different lengths
and the third angle measures 90⁰
15. Sensei's Judo Club has a competition for
the students. If you win a grappling match,
you are awarded 5 points. If you tie, you
are awarded 2 points. Jeremy grappled 15
times and his score was 48 points. How
many grapples did Jeremy win?
Answer:
6 grapples
Step-by-step explanation:
x = number of wins
y = number of ties
y = 15 - x
48 = 5x + 2y
48 = 5x + 2(15 - x)
48 = 5x + 30 - 2x
48 = 3x + 30
18 = 3x
x = 6
The number of grapples that Jeremy win will be 6.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
Sensei's Judo Club has a competition for the students.
Let x be the number of wins and y be the number of ties.
If you win a grappling match, you are awarded 5 points.
Then the equation will be
x + y = 15
y = 15 - x
If you tie, you are awarded 2 points.
Jeremy grappled 15 times and his score was 48 points.
Then the equation will be
5x + 2y = 48
Put the value of y in the above equation. Then we have
5x + 2(15 - x) = 48
5x + 30 - 2x = 48
3x = 18
x = 6
The number of grapples that Jeremy win will be 6.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
The medians of are , , and . They meet at a single point .
(In other words, is the centroid of .)
Suppose , , and .
Find the following lengths.
Note that the figure is not drawn to scale.
#VS
We know that medians bisect eachother at 2:1 at centroidVs be x
[tex]\\ \tt\hookrightarrow 18:x=2:1[/tex]
[tex]\\ \tt\hookrightarrow 2x=18[/tex]
[tex]\\ \tt\hookrightarrow x=9[/tex]
#VU
VU be x[tex]\\ \tt\hookrightarrow \dfrac{39}{3}=x=13[/tex]
#PT
[tex]\\ \tt\hookrightarrow VT=16/2=8[/tex]
PT=16+8=24Answer:
#VS
We know that medians bisect eachother at 2:1 at centroid
Vs be x
#VU
VU be x
#PT
PT=16+8=24
Step-by-step explanation:
Turn the base 2 number 1111 into base 10
Answer:
7
Step-by-step explanation:
[tex]111 \\ {1}^{2} {1}^{1} {1}^{0} \\ 1 \times {2}^{2} + 1 \times {2}^{1} + 1 \times {2}^{0} \\ 4 + 2 + 1 \\ = 7[/tex]
PLS ANSWER AS SOON AS POSSIBLE!!!!
Answer:
Here's a answer to your question.
Are this functions yes or no how can I tell if it is ?
Answer:
yes they are all functions
Step-by-step explanation:
Despite f(x) being the classic way to write a function,
a function has:
an input (domain)a relationship (maps to)an output (range)A function relates each element of a set with exactly one element of another (possibly the same) set.
One-to-one and many-to-one are functions, but one-to-many is not a function.
You can also carry out the Vertical Line Test on a graph. If the vertical line only crosses the curve once, it is a function. If it crosses more than once it is still a valid curve, but is not a function.
Yes they all are functions
Functions should include
Two variables (Here they are x and f(x))Must have domain and range.Function must return a new value as output when any input is given .pls answer I will give brainliest
Zarah bought x candies and y cakes from a shop. Price of each candy is $ 5 and price of
each cake is $ 20.
1. How much money did Zarab pay for all candies? Give answer in terms of x
2. What was the cost of all cakes that Zarah bought? Give answers in terns of y
3, Find the total cost of candies and cakes in terms of x and y
4. If x=10 and y =5, how nonch money did she spend for the candies and cakes?
Zarab pay for all candies = 5x
Zarab pay for all cakes = 20 y
Total cost = 5x + 20y
Money spent = 5x + 20y
= 5 × 10 + 20 × 5
= 50 + 100
= $150
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
I got C as the correct answer.
Step-by-step explanation:
Im sorry if it’s wrong. Im not the best with percentages.
Hope this helped! Have a great day!!
Find the value of x.
Sum of angles of triangle = 180°
Therefore:
x + 60 + 41 = 180x + 101 = 180x = 180 - 101x = 79°hope it helps!
Please answer the question in the picture
Answer:
no
Step-by-step explanation:
because 8 isnt a perfect square
A person's blood pressure (in millimeters of mercury) while resting is given by the function (1) = 23 sin (2xt) + 100, where t is time in seconds. Find his blood pressure after 1 second
A bird of species A, when diving, can travel six times as fast as a bird of species B top speed. If the total speeds for these
two birds is 259 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.
Answer: 240mph
Step-by-step explanation:
Seth and Ted can paint a room in 6 hours if they work together. If Ted were to work by himself, it would take him 1 hours longer than it would take Seth working by himself. How long would it take Seth to paint the room by himself if Ted calls in sick
Answer:
11.5 hours
Step-by-step explanation:
It would take Seith x hours to paint the room by himself, then Ted needs x + 1 hour.
During 1 hour, Seith can do 1/x of the work, Ted can do 1/(x+1) of the work, then we have
1/x + 1/(x + 1) = 1/6
(2x + 1)/[x(x+1)] = 1/6
x(x+1)=6(2x+1)
x^2 + x = 12x + 6
x^2 - 11x - 6 = 0
[tex]x=\frac{11+\sqrt{145}}{2}= 11.5 hours[/tex]
X x 15 = 8 1/3. what is X
Answer:
4
Step-by-step explanation:
yes 1x is the same a x Technically the 1 front of the x is called implied so it's simply written as x say x=4
Answer:
5/9
Step-by-step explanation:
I assume the second x is a times.
X*15=8 1/3
Divide both sides by 15
x= 5/9 or .555 repeating forever
AXYZ is reflected across the y-axis. What are the endpoints of segment YZ?
A)
(-2,-3), (-2,-3)
B)
(-2, 3).(-2,-3)
(2,3), (2,-3)
D
(2.3).(-2,-3)
Answer:
I'm gonna head with B forgive me I'd I'm wrong
An angle measures 134° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
23° and 157°
Step-by-step explanation:
Let n represent the smaller angle then the larger angle would be...
n+134
Supplementary angles add up to 180 degrees. We can use this information to set up an equation...
n+n+134=180
Combine like terms
2n+134=180
Subtract 134 from both sides
2n=46
Divide both sides by 2
n=23
n+134=157
23° and 157°
help me pls give me awnser
Answer:
THE IS 32
Step-by-step explanation:
MALPI THE NUBERS
Swimming Pool On a certain hot summer's day, 685 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $1352.50. How many children and how many adults swam at the public pool that day?
Answer:
120 children and 388 adults bought tickets for the swimming pool. Explanation: Create two simultanous equations:.
4x 1/5 please someone help me
Answer:
24/5
Step-by-step explanation:
1 1/5 is equal to 6/5. 4 times 6/5 is first 4 times 6 which is 24 and then /5. So the answer is 24/5
-3(x+4) I have no idea
Answer:
The simplified version of this equation is -3x - 12.
Step-by-step explanation:
To simplify this equation, distribute -3 to both x and 4.
-3(x+4) = -3x -12
Answer:
-3x-12 as an expression
Step-by-step explanation:
To solve this problem, we need to distribute!
Multiply -3 by both the x and the 4
When we do this, we get:
-3x and -12
Note: when you multiply a positive by a negative, you get a negative so it turns into a negative number
Note 2: When you see an x without a number in front of it, it becomes 1x. In this problem, that is why it is a -3x because -3 x 1 is -3
Hope this helps! :) Please award brainliest if possible!
What’s the correct answer for this question?
Math Problem Lots of points help please!
And
<IFH=180-137=43Now
bigger angle has bigger side.
So the order is
FI<IH<GI<FG<FHPlease help with this equation, it would really help me. Thank you.
Answer:
the volume should be 2/15
Provide an appropriate response. A quiz consists of 100 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
Answer:
25-50 correct
Step-by-step explanation:
Find the solution for x if |6x + 8l=32.
Answer:
2.2 Solve : 3x-20 = 0
Add 20 to both sides of the equation :
3x = 20
Divide both sides of the equation by 3:
x = 20/3 = 6.667
x = 20/3 = 6.667