Answer:
the airspeed of the plane = 660 miles/hr
the speed of the wind = 60 miles/hr
Step-by-step explanation:
The values are missing in the given information in the question.
To able to solve this question, we will make some assumptions.
Let's assume that:
The airplane heading into the wind travels 1800 miles in 3 hours.
While returning via the same distance, it travels 2 hours 30 minutes.
We are to determine the plane's airspeed as well as the wind speed.
First, let us say that the speed of the plane is p and the wind speed is q
during the time the plane is traveling for 1800 miles in 3 hrs.
Then, we can say
3p -3q = 1800 ----- (1)
However, in 2hours 30 minutes, we have 2.5 hours
So, when the plane is returning, we have the following equation:
2.5p + 2.5q = 1800 ---- (2)
So, to find p and q, we can use the elimination method.
Simply by multiplying equation (1) with 5 and equation (2) with 6
(5)3p - (5)3q = (5) 1800
(6)2.5p + (6)2.5q = (6) 1800
15p - 15q = 9000
+
15p + 15q = 10800
30p - 0 = 19800
30p = 19800
p = 19800/30
p = 660
Since p = 660, then from equation (1) we can obtain the value of q:
So; Using equation (1):
3p -3q = 1800
3(660) - 3q = 1800
1980 - 3q = 1800
-3q = 1800 - 1980
-3q = -180
q = 180/3
q = 60
Therefore, the airspeed of the plane = 660 miles/hr
the speed of the wind = 60 miles/hr
Factorise fully 12x + 18y
Answer:
6(2x + 3y)
Step-by-step explanation:
6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.
The factorize form of the expression 12x + 18y is 6(2x+3y)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 12x + 18y
Twelve times of x plus eighteen times of y
x and y are the variables in the expression
Let us factorize the expression
The Gcd of 12 and 18 is 6
So take 6 as common from the expression
6(2x+3y)
Hence, the factorize form of the expression 12x + 18y is 6(2x+3y)
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Given m|n, find the value of x.
(6x-4)°
(3x+4)°
Answer:
6x-4+3x+4=180{ straight angel}
9x=180x=180/9x=20°stay safe healthy and happy.....Name:
Date:
TRIGONOMETRIC IDENTITIES - DAY #1
ALGEBRA 2 WITH TRIGONOMETRY - HOMEWORK
Answer:
4567,4678..............
PLEASEEEE HELPPPPPPP
Answer:
the scale factor of RSTU to R'S'T'U' is 1/3
Step-by-step explanation:
look at the graph and count how many squares are needed for the line RS (3) and how many for the line R'S' (9).
this is 1:3 or 1/3
all other sides follow the same ratio.
the point P is diagonally one square down from S and 3 squares down from S'.
Find the value for a,b,c,d
9514 1404 393
Answer:
B. a = 10√3, b = 5√3, c = 15, d = 5
Step-by-step explanation:
When you examine the angles of these triangles, you see that all of the triangles are 30°-60°-90° triangles, so ratios of corresponding sides are the same.
Examining the answer choices, you see that all of them agree that ...
a = 10√3, c = 15
Since b is the long leg of the smallest triangle, you know that b > d. This is only the case in answer choices B and D.
The leg marked 'a' is the long leg of the largest triangle, whose short leg is 10. That is the ratio of the longer to shorter legs is 10√3 : 10 = √3 : 1. The ratio of 'b' to 'd' needs to be the same, matching only answer choice B.
__
The ratios of the sides of a 30-60-90 triangle are 1 : √3 : 2. This tells you that ...
d = 10/2 = 5
c+d = 10×2 = 20 ⇒ c = 20 -5 = 15
b = 5√3
a = 10√3
As a check, c = b×√3 = (5√3)(√3) = 5·3 = 15. (matches above)
PLEASE HELP ASAP!!!!
Answer:
yes the answer is 456
Step-by-step explanation:
Find one value of x that is a solution to the equation:
(x2 – 6)2 = -3x2 + 18
The area of a triangle is 12 square units. The base of the triangle is 4 units. What is the height of the triangle in units?
Answer:
6 =h
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
12 = 1/2 (4) h
12 =2h
Divide each side by 2
12/2 = 2h/2
6 =h
Identify each triangle based on angles. (Acute, Obtuse or Right)please I don’t understand this
Answer:
45
Step-by-step explanation:
Answer:
2. right
3.obtuse
hope this helps
have a good day :)
Step-by-step explanation:
A certain television station has been providing live coverage of a particularly sensational criminal trial. The station's program director wishes to know whether more than half the potential viewers prefer a return to regular daytime programming. A survey of randomly selected viewers is conducted. Let p represent the proportion of all viewers who prefer regular daytime programming. What hypotheses should the program director test to answer the question of interest
Answer:
H0 : p = 0.5
H1 : p > 0.5
Step-by-step explanation:
The the claim to test and determine if a signifant evidence for is if more than half of viewers want a return to original day time program. Since, this is
Since, p is the proportion who prefer the regular day time program;
The hypothesis to test is :
If p > 0.5 `; this represents the alternative hypothesis which we want to check if it we have significant evidence to adopt the claim.
The Null value on the other hand will take the a proportion equal to the p: and it is the initial truth until the alternative has a strong evidence to reject the null.
The null ;
H0 : μ = 0.5
Area of triangle with sides a=8, b= 10, c=7
Answer:
d equal 10 this is the answer
Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of the minor axis: (1, 7), (7, 7)
Answer:
The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)
If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:
[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]
[tex](h,k) = (2,0) + (2, 7)[/tex]
[tex](h, k) = (4, 7)[/tex]
The length of each semiaxis is, respectively:
[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]
[tex]a = 3[/tex]
[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]
[tex]b = 7[/tex]
The standard equation of the ellipse is described by the following formula:
[tex]\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.
[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.
If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:
[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]
Can someone help me?
Answer:
Second one: (1,2) (2,4) (3,6)
Step-by-step explanation:
y = 2x
2 = 1(2)
4 = 2(2)
6 = 2(3)
Answer:
(1,2),(2,4),(3,6)
Step-by-step explanation:
y = 2x
y = 2(1)
y = 2
y = 2x
y = 2(3)
y = 6
y = 2x
y = 2(2)
y = 4
x axis and y axis of each coordinate match with equation
a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings
Answer:
5.625
Step-by-step explanation:
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
5.625 grams of fat are in 3.75 servings.
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
What is a Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
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which is equivalent to this equation
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the value of the given expression i.e.
3⁷ × 3⁻⁴
We know that, one of the property of exponent is:
[tex]x^{-a}=\dfrac{1}{a}[/tex]
So,
[tex]3^7\times 3^{-4}=3^7\times \dfrac{1}{3^4}\\\\=3^3\\\\=27[/tex]
Hence, the correct option is (b).
A man buys a marker at Rs. 40 and sells it at Rs. 50. What is the profit percentage?
Answer:
may be 10%hope it helps uh
If g(x) = 2 - 5x, what is the value of g(2) - g(5)?
Answer:
15
Step-by-step explanation:
the steps are in the pic above
31 more than a number is 12
Answer:
-19.
Step-by-step explanation:
-19+31 gets you 12.
A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is
PA and B)?
Answer:
0.15
Step-by-step explanation:
I need help doing my homework
Answer:
A= πr^2
45=πr^2
45/1 =22/7×r^2
45/1=22r^2/7 cross multiply
22r^2 ×1=45×7
22r^2=315 divide both sides by 22
22r^2/22=315/22
r^2=14.318
What is the differential means?
Answer:
Diffrence is the mean of differential
Evaluate what’s in the picture.
Answer:
8P3 = 336
9C4 = 126
Step-by-step explanation:
8P3 = 8! ÷ 5! = 8x7x6 = 336
9C4 = 9! ÷ (5!·4!) = (9x8x7x6) ÷ (4x3x2) = 126
Jon places $6,500 in his bank account that grows at a rate of 3% per year.
Write a function (equation) that models this relationship. (2 points).
The function (equation) that models this relationship is
Answer:
Step-by-step explanation:
When interest compounds once per year, the formula for this is
[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate at which it grows, and t is the time in years. Therefore, our model is
[tex]A(t)=6500(1+.03)^t[/tex] or simplified a bit:
[tex]A(t)=6500(1.03)^t[/tex]
the image shown at the right contains many triangles describe the different types of triangles found in the image. PLS HELP
Answer:
Step-by-step explanation:
*There is an acute isosceles (don't know if I am spelling any of these correct)
*Right Scalene
*right isosceles
*equilateral
Those are some of the ones that I found
When 0.3(4x-8)-0.5(-2.4x+4) is simplified. What is the resulting expression?
Answer:
2.4x-4.4
Step-by-step explanation:
0.3(4x-8)-0.5(-2.4x+4)
DISTRIBUTE: 1.2x-2.4+1.2x-2
COMBINE LIKE TERMS: 2.4x-4.4
your answer is: 2.4x-4.4
Answer all 4 for a nice brainliest
Write the Plural! Spanish, help!!
100 POINTS!!! For which value of b will the quadratic equation x^2-bx+16=0 have exactly two different integer solutions? Select all that apply.
The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
A quadratic equation is in the form:
y = ax² + bx + c
Where a, b and c are constants.
If b² - 4ac > 0, then the equation have exactly two different integer solutions.
Given the equation:
x² - bx + 16 = 0, to have exactly two different integer solutions:
(-b)² - 4(1)(16) > 0
b > 8
The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
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Answer:
x=8
Step-by-step explanation:
3. Minimize P = 3x – 25y + 38 given the following constraints: y+ -44 144 - 98 < 70 12y - 6x > -36 > -6 The minimum is: at (
Answer:
-118 at (-2, 6)
Step-by-step explanation:
See the attached image of the graph! I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading! The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon. I put big red dots on the corner points. Those points are:
(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)
Plug these coordinates into the expression P = 3x - 25y + 38 to get a value at each of the corner points. Pick out the smallest value.
See the other attached image for those values.
Careful graphing is essential!
2w+22=-6(w+7) what is the answer for w
Answer:
w=-8
Step-by-step explanation:
2w+22=-6(w+7)
2w+22=-6w-42
8w+22=-42
8w=-64
w=-8
Therefore, w=-8
Answer:
w = -8
Step-by-step explanation:
2w+22=-6(w+7)
2w+22 = -6w - 42
8w +22 = -42
8w = -64
w= -64/8
w = -8