Answer:
The angle the aero plane makes with the horizontal is approximately 20.925°
Step-by-step explanation:
The given parameters are;
The distance the aero plane flies = 5.6 km
The elevation to which the aero plane flies = 2 km
The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)
By the trigonometric ratio for the sin of the angle, θ, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]
Therefore, the angle θ the aero plane makes with the horizontal is given as follows;
[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]
The angle the aero plane makes with the horizontal ≈ 20.925°.
Complete the equation of the line through (1,4) (2,2)
The slope- intercept form of the equation of a line is : y = mx + b
The slope is represented by m and the y-intercept is represented by b.
You can use the coordinates of the two points to find the slope:
m = (y 2 - y 1)
(x 2 - x 1)
For this problem:
m = (4 - 2 ) = 2
(1 - 2) -1
To determine the y-intercept , substitute the coordinates of either point into the slope-intercept equation using a slope of -2:
y = mx + b
y = -2 • x + b
Using (1,4):
4 = -2 • 1 + b
4 = -2 + b
b = 6
The equation of the line will be : y = -2•x + 6
Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1
Answer:
y = 3
Explanation:
Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.
We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.
We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.
Answer:
w
Step-by-step explanation:
w
Please help, I don’t know how to solve this
Answer:
f(-2), where f= -43/2
f(-1), where f= -16
f(0), where f has no solution
f(1), where f= 10
f(2), where f= 31/2
I don’t know how to do this,someone please help,and explain maybe
Answer:
I can explain. look at variables (letters) ..7,2,3 in back of numbers. With this numbers it's an x. In front of 7x its a - or +. It tells you to either subtract or add...7x°-2x°+2x°-3. Start with 7x minus 2°, minus 2°, plus two & at end subtract 3
Ms. Webb bought 3 sparkly markers that are $1.20 each and 4 glitter glue sticks that are $1.05 each. These were on sale for 25% off. What is the discount amount?
Answer:
5.85 is the total after the discount. The amount taken off is 1.95.
Step-by-step explanation:
why wont it let me say anything
Answer:
409
Step-by-step explanation:
786 + 32 = 818
818 ÷ 2 = 409
Tammy's allowance is $5.00. She did extra chores around the house and earned an
extra $1.75. She goes to the store with her older sister and buys an ice cream for
$2.25. On her way home she finds $1.00. How much money does Tammy have?
Answer:
5.50 this should help :p
Samantha plays a game in which she rolls two standard dice and finds the sum of the dots facing up. Which shows all the possible outcomes for each roll of the dice?
Answer:
Kindly check attached picture
Step-by-step explanation:
A standard dice has 6 faces numbered {1,2,3,4,5,6}
For 2 dice, n = 2 ; sample space = n² = 6² = 36
The sum of the 2 upward facing dots:
{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6);
(2,1 ) (2,2),(2,3),(2,4),(2,5),(2,6) ;
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6);
(4,1)(4,2)(4,3) (4,4)(4,5)(4,6);
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6);
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}
What's the square root of 689976??? Please help
Help pls I have no clue how
Answer:
Step-by-step explanation:
By using regression line calculator,
Equation of the regression line from the data given,
y = -0.38993x + 26.95184
Here, y = weekly hours of sport
x = Time to run
For x = 50 minutes,
y = -0.38993(50) + 26.95184
= 7.45534
≈ 8
Since, slope of the given regression line is negative, correlation will be negative (n).
Solve the system by using substitution show work
2x - y = 5
x = y-1
What is the slope of the line that passes through (4, 12) and (5, 16)?
Answer:
8/10
Step-by-step explanation:
The rise on the y axis is eight and the run on the x axis is 10
(Hope this helped)
Reduce to simplest form.
-7/12 +3/8
Answer:
-5/24
Step-by-step explanation:
here u gooo :).....
Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos costs $50 each. Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?
Answer:
4
Step-by-step explanation:
because 25×11= 275 and 500-275 =225
50x4=200
225-200=25 you can buy 4 and 25$ is left over
The areas of similar triangles ΔABC and ΔDEF are equal. If the longest side of ΔDEF measures 25 units, what is the length of the longest side of ΔABC?
A.
5 units
B.
25 units
C.
75 units
D.
50 units
Answer:
It is 25 units
Step-by-step explanation:
The triangles are equal
Answer:
25 Units.
Step-by-step explanation:
The Triangles are equal and have the same area. Therefore, the longest side of ΔDEF and ΔABC will measure the same.
the question is:
Jeremy is taking a non- calculator quiz in his algebra 1 class. He decided that the equation below had a value of 1.5. Jeremy has the correct value. EXPLAIN how he found this without the use of his calculator.
the equation: 2^-1+5^0
Answer:
That's very simple 2^–1 is equal to 1/2 and 5^0 is equal to 1. Then add this two. 1/2+1 is equal to 1.5.
plz rate me brainiest
o figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?
Answer:
40
her age was 36 she added 4nwhich made 40 then doubles makesn80
9514 1404 393
Answer:
76
Step-by-step explanation:
For age 'a', the special number was supposed to be ...
2a +4
Tammi's mother actually calculated it as ...
2(a +4) = 2a +8
a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.
The special number was supposed to be 80 -4 = 76.
please help me! here’s a picture
Answer:
I would think the answer is 28?
im not really that sure
Calculator
The graph of a proportional relationship contains the point (-12, 3)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y =
Tor
Answer:
[tex]\displaystyle y=-\frac{1}{4}\ x[/tex]
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
The value of k can be calculated if we know a point (x,y) that belongs to the graph. Substituting the point (-12,3):
3 = -12k
Solving for k:
[tex]k=-\frac{3}{12}=-\frac{1}{4}[/tex]
Thus, the corresponding equation is:
[tex]\boxed{\displaystyle y=-\frac{1}{4}\ x}[/tex]
Combine as indicated by the signs. 2x/y2-x2 - x/y-x
Answer: (2x - xy - x^2) / (y + x)(y - x)
Step-by-step explanation: *graded correct
First simplify: 2x / y^2 - x^2 = 2x / (y+x)(y-x)
Next subtract x / y-x: 2x / (y+x)(y-x) - x / y-x
Get: x(2-y-x) / (y+x)(y-x)
Simplify numerator : (2x - xy - x^2) / (y+x)(y-x)
(05.03 LC) What is the initial value of the function represented by this graph?
0
1
5
6
Answer: it is 1 :)
also i took the quiz and got it right! hope this helps!!
please help mee please
Answer:
57 degrees
Step-by-step explanation:
180-66 = 114
114/2 = 57
Find the value of x.
30
30
Answer:
30
.......................
The graph of a function f is shown below. Use the zeros and the turning points of the graph to find the rule for f.
A.
f(x) = x4 − 8x2 + 16
B.f(x) = −x4 + 5x2 − 4
C.f(x) = x3 + x2 − 4x + 4
D.f(x) = x4 − 5x2 + 4
Answer:
Answer is D
Step-by-step explanation:
Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2
Only the function on option D works, so the answer is D
PLEASEE HELP!!! LOTS OF POINTS ARE ON THE LINE
Which point is located in Quadrant II?
A coordinate plane.
(–4, 5)
(–4, –5)
(4, –5)
(4, 5)
Answer:
(-4,5) is located on the 2nd quadrant
Answer:
(-4, 5)
Step-by-step explanation:
Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.
please help me . i will help you whenever you want
Answer:
6.7cm
Step-by-step explanation:
We apply Pythagoras Theorem twice.
First we find out the diagonal of the base of the cuboid.
The diagonal of the base = sqrt (2^2+4^2) = sqrt (20).
Then we find out AB by applying Pythagoras Theorem.
AB^2 = 5^2 + [sqrt (20)]^2
AB^2 = 45
AB = 6.7cm (correct to 1 decimal place)
i need help with these questions...
k + 8 ≥ 18
2x + 3 ≤ 13
solve for the variables
Answer ASAP this practice is due tomorrow
Answer:
i think it's Z = 8,4
I'm not sure
Hudson needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3.25 hours and charged him $71 for parts. The total was $282.25. What was the cost of labor, per hour?
Answer:
$65/hr
Step-by-step explanation:
282.25 - 71 = 211.25
211.25 / 3.25
help me someone:((!!!!!
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Answer:
Hope this helps!
Step-by-step explanation:
2L + 3S = 83
4L + 8S = 197
Multiplies the top equation by -2.
-4L + -6S = -166
4l + 8S = 197
Adding them together...
2S = 31
S = 31/2 = 15.5
Plugging into the first equation:
2L + 3S = 83
2L + 3(15.5) = 83
2L + 46.5 = 83
2L = 83 - 46.5
2L = 36.5
L = 36.5/2 = 18.25
check:
2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83
4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197
The Large box weighs 18.25
The small box weighs 15.5