Answers:
airspeed = 42 mphwind speed = 12 mph============================================================
Explanation:
Let's solve the first equation for y
[tex]18 = (x+y)\frac{1}{3}\\\\18*3 = x+y\\\\54 = x+y\\\\x+y = 54\\\\y = 54-x\\\\[/tex]
Then we'll plug this into the second equation and solve for x
[tex]18 = (x-y)*\frac{3}{5}\\\\18 = (x-(y))*\frac{3}{5}\\\\18 = (x-(54-x))*\frac{3}{5}\\\\18 = (x-54+x)*\frac{3}{5}\\\\18 = (2x-54)*\frac{3}{5}\\\\18*5 = 3(2x-54)\\\\90 = 6x-162\\\\6x-162 = 90\\\\6x = 90+162\\\\6x = 252\\\\x = 252/6\\\\x = 42\\\\[/tex]
This is the average airspeed of the plane, in miles per hour (mph). It's the speed without accounting for the wind. If there's no wind at all, then this would be the ground speed of the plane.
Use this value of x to find y
y = 54-x
y = 54-42
y = 12
The average speed of the wind is 12 mph.
Please help solve 1, and 2
Answer:
Step-by-step explanation:
1). WXYZ is a rectangle,
Properties of a rectangle,
i). Opposite sides are equal and parallel.
ii). All interior angles measure 90°.
iii). Diagonals are equal in measure.
a). WY = ZX = 30
Therefore, ZT = [tex]\frac{1}{2}(ZX)[/tex]
[tex]ZT=15[/tex]
b). WY = ZX = 45
c). Since, WY = ZX,
(4b - 16) = (3b + 5)
4b - 3b = 16 + 5
b = 21
2). GOAT is a rhombus and m∠OGA = 35°,
a). m∠TGA = m∠OGA = 35°
b). m∠GXO = 90°
c). m∠GXT = 90°
d). Since adjacent angles of a rhombus are supplementary,
m∠OGT + m∠GTA = 180°
70° + m∠GTA = 180°
m∠GTA = 110°
m∠GTO = [tex]\frac{1}{2}(m\angle GTA)[/tex]
= [tex]\frac{1}{2}(110^{\circ})[/tex]
= 55°
e). Since, opposite angles of a rhombus are equal,
m∠OGT = m∠OAT = 70°
f). m∠GOA = m∠GTA = 110°
The height of a baseball in feet can be found by the equation -4.982 – 20t + 1000. How far has the
baseball traveled at t = 6?
Answer:
875.018
Step-by-step explanation:
To solve this, we must plug in 6 for our t value. So, we have the equation:
-4.982 - 20(6) + 1000
Following the rules of PEMDAS, we have:
-4.982 - 120 + 1000 = 875.018
How many amount will be reqyired to plaster on the four walls at the rate of Rs 315per square meter?find it
Incomplete question
Let the area be = 100 square meter
Cost of plaster = Rs 315 per square meter
No of walls = 4
Total area = 400 square meter
Then cost = 400 × 315
= Rs 1,26,000
Answered by Gauthmath must click thanks and mark brainliest
Find the value of both variables.
[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]
I hope I helped you ^_^
The marked price of a radio was 40% above the cost price. When it was sold allowing 30% discount on it, there was loss of RS. 100. What was the marked price of the radio.
Answer:
7000
Step-by-step explanation:
70/100 * marked price = original price - 100
marked price = 140/100* og price
70/100 * 140/100 * og price = original price - 100
49/50 * og price = orignal price - 100
1/50 of original price = 100
orignal price = 5000
marked price = 140/100 * 5000 = 7000
PLEASE HELP ME I DONT UNDERSTAND
Answer:
no
Step-by-step explanation:
the square root of 2 is not rational
Ade thinks of a number He doubles it and then subtract 5 The result cannot be less than 100 find the range of values of x
Answer: [tex]x\in [53,\infty)[/tex]
Step-by-step explanation:
Given
Ade doubles her number and subtract 5 from it. The result cannot be less than 100
Suppose the number is [tex]x[/tex]
According to the question
[tex]\Rightarrow 2x-5\geq100\\\text{Solve the inequality}\\\Rightarrow 2x\geq105\\\Rightarrow x\geq52.5\\\text{for integer number, the range is given by }\\\Rightarrow x\in [53,\infty)[/tex]
Find the value of m.
A. 7
B. 2
C. 42
D. 14
Answer:
A. 7
Step-by-step explanation:
3m + 21 = 6m
Move variables to one side to get:
3m + 21 = 6m
-3m -3m
21 = 3m
Then isolate variable by dividing by 3
21/3 = 3m/3
m = 7
Choice A is the correct answer
Find the perimeter of this semi-circle with diameter, d = 22cm.
Give your answer as an expression in terms of t.
Answer:
=22tcm
Step-by-step explanation:
Perimeter of a circle =πD
But π=t
hence perimeter; = 22tcm
where t=π
SOMEONEEEE HELPPP MEEEE OUTTTT!!!!
Answer:
24°
Step-by-step explanation:
cos ? = 41/45
? = arccos 41/45
? = 24
Answered by GAUTHMATH
What is the value of q?
P= 3in
a) find the length of each side of the square
b) find the area of the square
Step-by-step explanation:
what does P mean ?
I assume it is perimeter ?
what is the perimeter of a square ?
come on, there is practically nothing in math that is easier to solve.
a square has 4 equal sides.
so, to go one time around the whole square, we have to go along every one of its 4 sides (which are all of equal length).
so, when I get the perimeter number, I know this is the result of all 4 sides added together.
and how can we express having 4 times the same number ? exactly how we say it in English : 4 times the number.
therefore
P = 4 × side length
and from there we can immediately deduct
side length = P / 4 = 3/4 in
now we know how long the sides of the square are.
what is the area of the square ?
like for any rectangle the area is length×width. just that length=width, so that we end up with length×length = length².
therefore, the area is
3/4 × 3/4 = (3/4)² = 9/16 in²
this is important : a length is measured e.g. in inches (in). an area is then measured in square-inches = in²
if (p+2q)/p = 7/5 , find the value of q/p , where p ≠ 0
Work Shown:
(p+2q)/p = 7/5
(p/p)+(2q/p) = 7/5
1 + 2(q/p) = 7/5
2(q/p) = 7/5 - 1
2(q/p) = 7/5 - 5/5
2(q/p) = (7-5)/5
2(q/p) = 2/5
q/p = (2/5)*(1/2)
q/p = (2*1)/(5*2)
q/p = 1/5
Answer:
q/p = 1/5
Step-by-step explanation:
(p+2q)/p = 7/5
Multiply each side by p
(p+2q)/p *p = 7/5*p
(p+2q) = 7p/5
Multiply each side by 5
(p+2q)*5 = 7p/5 *5
5p + 10q = 7p
Subtract 5p from each side
5p + 10q -5p = 7p -5p
10 q = 2p
divide each side by p
10q/p = 2p/p
10 q/p = 2
Divide each side by 10
q/p = 2/10
q/p = 1/5
The tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4.
What is the solution to this system?
Answer:
how?
Step-by-step explanation:
i didnt get this question
Answer:
(8,-22)
Step-by-step explanation:
I took the quiz and did my work on paper but the paper got wet and I don't remember the steps I did
What is the linear function equation represented by the graph?
Enter your answer in the box.
Picture below
i need help cant understand it
Answer:
105
Step-by-step explanation:
Because the lines are parallel, we know that those angles have to add up to 180. so we just do
x+75=180
or 180-75=105
x+75°=180°
x=180°-75°
x=105°
or
180°-75° = 105°
please mark this answer as brainlist
in how many ways can alice give 12 apples to 3 children
Answer:
Step-by-step explanation:
give four apples to each child because 12/3 is 4
Answer:
91
Step-by-step explanation:
what is the value of i^n if the remainder of n/4 is 3?
Answer:
-i
Step-by-step explanation:
i =i
i^2=-1
i^3= -i
i^4=1
i^5=1
help me please to solve this 2 questions pleasee faster.. i will mark you as brainliest
Answer:
1. x=72, y=, 108
2.x=30, y=72
Step-by-step explanation:
Brainliest please~
Sue has 3 cats. Each cat eats 1 4 of a tin of cat food each day. Sue buys 4 tins of cat food. Has Sue bought enough cat food to feed her cats for 5 days? You must show how you get your answer
Answer:
3 3/4 tins of food
Step-by-step explanation:
Number of cats = 3
Quantity of food for each cat per day = 1/4 of a tin
Total tins of cat food sue bought = 4 tins
Has Sue bought enough cat food to feed her cats for 5 days?
Quantity of food 3 cats eat per day = Quantity of food for each cat per day × Number of cats
= 1/4 × 3
= 3/4 of a tin
Total Quantity of food 3 cats eat for 5 days = Quantity of food 3 cats eat per day × 5 days
= 3/4 × 5
= (3 * 5) / 4
= 15/4
= 3 3/4 tins of food
Total Quantity of food 3 cats eat for 5 days = 3 3/4 tins of food
Recall,
Total tins of cat food sue bought = 4 tins
Therefore, Sue bought enough cat food to feed her cats for 5 days
Guided Practice
Use the vertical motion formula h = –16t2 + vt + c.
A child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft. Substitute the values into the vertical motion formula and let h = 0. Use the quadratic formula to solve for t. How long is the ball in the air?
A.
0.8 s
B.
0.8 s or –0.2 s
C.
0.2 s
Answer:
t = -0.22secs and 0.85secs
Step-by-step explanation:
Given the expression
h = –16t² + vt + c.
If a child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft, then;
v = 10, c = 3
Since we are to let h = 0, then the equation becomes:
0 = –16t² + 10t + 3
Multiply through by a minus sign
16t² - 10t - 3 = 0
Factorize the reulting expression:
t = -(-10)±√(-10)²-4(16)(-3)/2(16)
t = 10±√100+192/32
t = 10±√292/32
t = 10±17.09/32
t = 10-17.09/32 and 10+17.09/32
t = -7.09/32 and 27.09/32
t = -0.22secs and 0.85secs
Answer:
0.8 s
Step-by-step explanation:
I got it right in grandpoint.
what is the answer to this?
Answer:
x is any number
y depends on x value
The length of a rectangular playing field is 5m longer than its width. If the perimeter of the field is 150m,find it's width
Answer:
35
Step-by-step explanation:
Make equations, l = w+5 and 2l + 2w = 150
Substitute w+5 into 2l + 2w = 150
Simplify to get 4w + 10 = 150
Subtract 10 from both sides to get 4w = 140
Divide both sides by 4 and you get 35 as width
Answer:
The width of the field is 35 meters.
Step-by-step explanation:
Recall that the perimeter of a rectangle is given by:
[tex]\displaystyle P = 2(w+\ell)[/tex]
Where w is the width and l is the length of the rectangle.
We know that the perimeter is 150 meters. Thus:
[tex]150=2(w+\ell)[/tex]
Divide both sides by two:
[tex]75=w+\ell[/tex]
We are given that the length is five meters longer than the width. So:
[tex]\ell = w+5[/tex]
Substitute:
[tex]75=w+(w+5)[/tex]
Combine like terms:
[tex]75=2w+5[/tex]
Subtract five from both sides:
[tex]70=2w[/tex]
And divide both sides by two. Hence:
[tex]w=35[/tex]
Thus, the width of the rectangular field is 35 meters.
can you write to me explaining this please
Answer:
In addition, from the response shown, using a graphical calculator brings the following benefits:
1) You can write the system of linear equations as big as you want. This is: systems 3 * 3, 4 * 4, 5 * 5.
2) The response to systems of equations greater than 2 * 2 can be complicated when you graph the solution, therefore, the graphing calculator can be much more efficient in these cases.
3) You can write the linear equations in any way. Resolving by hand you should probably rewrite the system of equations to find the solution.
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is much simpler to graph and find the intersection points between the equations, which would be the solutions to the system, than graphing it by hand which would lead to some errors.
Express 3.023 in P form where p and q are integers and q= 0 D
Given:
The number is 3.023.
To find:
The given number in the form of [tex]\dfrac{p}{q}[/tex], where [tex]q\neq 0[/tex].
Solution:
The given number is 3.023. It can be written as:
[tex]3.023=3.023\times \dfrac{1000}{1000}[/tex]
[tex]3.023=\dfrac{3023}{1000}[/tex]
It cannot be simplified further because 3023 and 1000 have no common factors.
Therefore, the given number 3.023 can be written as [tex]\dfrac{3023}{1000}[/tex].
Enter the coordinates of the point
on the unit circle at the given angle. 0°
The points are ( 1,0) (0,1) .
The coordinates of the point on the unit circle -The coordinates for the points lying on the unit circle and also on the axes are (1,0), (–1,0), (0,1), and (0,–1). These four points (called intercepts) are shown here. When you square each coordinate and add those values together, you get 1. They're the sine and cosine values of the most common acute-angle measures.a.) We seek the coordinates on the unit circle that represent an angle of 0 degrees.
The points on the unit circle are often provided by,
( cosθ, sinθ )
In order to do so,
θ= 0
to acquire,
(cos(0),sin(0))
(1,0)
b. With regard to the location on the unit circle where the angle is 90 degrees,
We swap out
θ = 90
to acquire,
(cos(90),sin(90))
This is condensed to, (0,1)
Learn more about the coordinates of the point on the unit circle brainly.com/question/10169163
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Answer: 1,0
is the actual answer
Căn 84 bình phương trừ 37 bình phương chia 47
Answer:
[tex]\sqrt{84^{2} } -37^{2} /47[/tex]=257 9/47
Step-by-step explanation:
the function f(x) = -5x^2 +3 is defined over the domain -4< x < -1. find the range of this function.
a. 8 < f(x) < 83
b. 8 ≤ f(x) ≤ 83
c. -77 < f(x) < -2
d. 8 < f(x) < 23
Answer:
[tex]choice \: c. \: - 77 < f(x) < - 2[/tex]
Step-by-step explanation:
Find the y-values of the functions endpoints.[tex]f( - 4) = - 5 ({ - 4}^{2}) + 3 = - 77[/tex]
[tex]f( - 1) = - 5( { - 1}^{2}) + 3 = - 2[/tex]
Thus finding the range of F(x).
The range of the given function is - 77 < f(x) < - 2.
What is the range of a function?"The range of a function is a set of all the images of elements in the domain."
The given function is:
f(x) = - 5x² + 3
It is defined over the domain - 4 < x < - 1.
For x = - 4, f(x) = - 5(- 4)² + 3 = - 80 + 3 = - 77
For x = - 1, f(x) = - 5(- 1)² + 3 = - 5 + 3 = - 2
Therefore, the range of the given function f(x) is:
- 77 < f(x) < - 2.
Learn more about the range of a function here: https://brainly.com/question/8841915
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Help,anyone can help me do quetion,I will mark brainlest.
5.
1m = 0.001 km
So, 1m² = 10^-6
Area = 5027 m² = 5027 × 10 ^-6 km²
6.
1mm = 0.1 cm
1mm² = 10^-2
Area = 210× 297 mm² =62370 mm² = 62370 ×10^-2 cm²
SOMEONE HELP ME PLEASE
9514 1404 393
Answer:
1/12
Step-by-step explanation:
The probability of any given outcome is the ratio of the number of ways that outcome can happen to the total number of outcomes.
P(4) = 1/6 . . . . . roll = 4 is one of 6 possible outcomes
P(odd) = 3/6 = 1/2 . . . . . of the 6 possible outcomes, 3 are odd
__
The two rolls of the die are presumed to be independent, so the probability of the two outcomes is the product of their individual probabilities.
P(4 & odd) = (1/6)(1/2) = 1/12
