A boy was watching the show standing on the ground. A jet fighter when 1000m high passes vertically above an other jet fighter at an instant, when the angle of elevation of the two jets from the boy are 60 degrees and 45 degree respectively. At what distance (vertical) the pilots were flying the jets at that instant
Answers
Answer:
The pilot above at 1000m above ground and pilot below 742.23 metres above ground
Step-by-step explanation:
Imagine everything as triangles. Mark where the boy stands and the 2 jets are in the air
Related Questions
use the elimination method to solve 4x+8y=16 4x-8y=0
Answers
Answer:
x=2, y=1
Step-by-step explanation:
4x+8y=16
4x-8y=0
Add the two equations together:
8x=16
Divide both sides by 8:
x=2
Plug this back into one of the original equations to find y:
4(2)-8y=0
8-8y=0
y=1
Hope this helps!
Answer:
x, y = (0, 0)
Step-by-step explanation:
photo math broo
Complete each proof. Remember to mark the diagram as you go. You may not need all the rows.
Answers
Answer:
did u ever get hte answers for this ?
Gabriella drives her car 300 miles and averages a certain speed. If the average speed had been 9mph less, she could have traveled only 240 miles in the same length of time. What is her average speed?
Answers
Answer:
Her average speed is 45 mph
Step-by-step explanation:
Let the average speed be x mph
Time taken complete the journey = distance/ average speed
Time = 300/x
Now , at 9 mph less, she could have only traveled 240 miles in same time
At 9 mph less, the average speed is x-9
so the time would be 240/x-9
since the time is same as before;
300/x = 240/x-9
Divide both sides by 60
5/x = 4/x-9
Cross multiply
5(x-9) = 4(x)
5x - 45 = 4x
5x -4x = 45
x = 45 mph
Jenny wants to buy a new dress for her first school dance. She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $__ .
Answers
Answer:
$9.30
Step-by-step explanation:
If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)
There are 4 red marbles and 3 blue marbles in a bag. Once a marble is drawn it is not replaced. Find the probability of drawing two red marbles in a row.
Answers
Answer:
2/7
Step-by-step explanation:
4 red marbles and 3 blue marbles in a bag = 7 marbles
P(red) = red/total = 4/7
No replacement
3 red marbles and 3 blue marbles in a bag = 6 marbles
P(red) = red/total = 3/6 = 1/2
P(red, no replacement, red) = 4/7 * 1/2 = 2/7
Train left a station at 835 am and arrives at its destination at 312 pm how long did the journey take
Answers
Answer:
5 hours and 50mins
Step-by-step explanation:
8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins
Hope this helps :)
Factor completely 9x2 + 42x + 49
Answers
Answer:
(3x + 7)²
Step-by-step explanation:
You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.
Answer: (3x + 7)^2
Step-by-step explanation:
9x^2 + 42x + 49
3^2x^2 + 2 * 3x * 7 + 7^2
3x^2 + 2 * 3x * 7 + 7^2
(3x + 7)^2
which system of equations has no sulotion?
Answers
Answer:
Here is the answer ...... Check out it
Step-by-step explanation:
An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.
Hope it helps ☺️ CLICK on ♥️
The end behaviour for the polynomial function h(x)=−x3+x4−2x+1 h ( x ) = - x 3 + x 4 - 2 x + 1 is: x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→[infinity] x → - [infinity] , y → [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→−[infinity] x → [infinity] , y → - [infinity] Unable to tell.
Answers
Answer:
[tex]\text{As } x \to \infty, y \to \infty,$and as x \to -\infty, y \to \infty[/tex]
Step-by-step explanation:
Given the polynomial function: [tex]h(x)=-x^3+x^4-2x+1[/tex]
To examine its end behavior, we create a table of values that we can then examine.
[tex]\left|\begin{array}{c|c}x&h(x)\\--&--\\-4&329\\-3&115\\-2&29\\-1&5\\0&1\\1&-1\\2&5\\3&49\\4&185\end{array}\right|[/tex]
From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.
Therefore, as:
[tex]x \to \infty, h(x) \to \infty\\x \to -\infty, h(x) \to \infty[/tex]
The weights (lbs.) of the 5 offensive linemen for the High School football team are as follows: 215, 225, 285, 260, and 250. The median weight is:
A)205 lbs
B)250 lbs.
C)247 lbs.
D)None of these choices are correct.
Answers
Add all of the weights
215 + 225 + 285 + 260 + 250 = 1235
Divide the total weight by the number of weights given
1235/5 = 247
Given that 5 x − 3 y = 32 Find y when x = 4
Answers
Answer:
y=-4Solution,
X=4
Now,
[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
y = 16/3 or 5.333333...
Step-by-step explanation:
5x - 3y = 4
→ Substitute the value of x = 4 into the expression
(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4
20 - 3y = 4
→ Minus 20 from both sides to isolate -3y
-3y = -16
→ Divide both sides by 3 to isolate y
y = 16/3 or 5.333333...
2x-6+17=9
Explain the answer and why plz
Answers
Answer: x = -1
Step-by-step explanation:
2x - 6 + 17 = 9
Subtract 17 from both sides
2x - 6 = -8
Add 6 to both sides
2x = -2
Divide by 2 on each side
x = -1
PLEASE HELP me ! I NEED HELP
Answers
Answer:
Step-by-step explanation:
Let x = the number of 50-cent increases in the cost of a book rental.
Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:
$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.
The number of rentals is:
38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.
(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:
-2x² + 7x + 114
Describe the transformations from the parent function, and define the function of the following graph.
Answers
Answer:
From the parent graph f(x) = x², the graph moved horizontally left by 3 units and vertically down by 5 units.
The equation of the new graph is f(x) = (x + 3)² - 5
Step-by-step explanation:
A thirty-five ounce bottle of Pedialyte contains 2,500 mg of dextrose. If a child drinks 7 ounces straight from the bottle, how many mg of dextrose will he consume?
Answers
Answer:
500 mg
Step-by-step explanation:
amount of dextrose in 35 ounce Pedialyte = 2500 mg
dividing LHS and RHS by 35
amount of dextrose in 35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg
Thus,
amount of dextrose in 1 ounce Pedialyte = 500 /7 mg
since we have to find amount of dextrose in 7 ounce Pedialyte
we multiply LHS and RHS by 7
Thus,
amount of dextrose in 1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg
amount of dextrose in 7 ounce Pedialyte = 500 mg
Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.
What is the percent of 3.16 to 3.70
Answers
Answer:
85.4054%
Step-by-step explanation:
3.16/3.7 × 100
Divide.
0.854054 × 100
Multiply.
= 85.4054
Find the volume of the prism.
13ft 7ft
Answers
Answer:
the volume of the prism is VOLUME=BASE*HEIGHT
Step-by-step explanation:
SO it's ,
13*7=91ft
Answer:
591.5 ft^3
Step-by-step explanation:
Point B ∈ AC so that AB : BC = 2:1. Point D ∈ AB so that AD : DB = 3:2. Find AD : DC.
Answers
Answer:
AD : DC is 2:3
Step-by-step explanation:
The parameters given are;
Point B ∈ AC
AB : BC = 2:1
Point D ∈ AB
AD : DB = 3:2
Therefore, whereby we sum the ratios, we have;
For AC
AB = 2/(2+1)×AC = 2/3×AC
BC = 1/3×AC
For AB
AD = 3/(3+2)×AB = 3/5×AB
DB = 2/5×AB
We are required to find AD:DC
Given that AD = 3/5×AB and AB = 2/3×AC
We have;
AD = 3/5×2/3×AC = 6/15 AC
DC = DB + BC = 2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC
DC = 3/5×AC
AD : DC = 6/15 AC : 3/5×AC = 2:3.
the top of two poles of height's 20m and 14m are connected by the wire
if the wire makes an angle 30 degree with the horizontal then length of the wire is
8m
10m
12m
Answers
Answer:
The correct option is;
10 m
Step-by-step explanation:
The parameters given are;
Height of the first pole = 20 m
Height of the second pole = 14 m
The angle the wire connected to their top makes with the horizontal = 30°
The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.
Let the horizontal distance between the two poles = D
Therefore;
The horizontal length of the wire = D
From trigonometric ratios, we have;
[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]
Which gives;
[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]
The correct option is 10 m.
I need mega help I can't get it wrong
Answers
Answer:
4320 square inches
Step-by-step explanation:
Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.
factorize
[tex]9 - 4 {m}^{2} [/tex]
in algebra expression...
Answers
Answer:
(3+2m)(3-2m)
Step-by-step explanation:
(3+2m)(3-2m)
Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6 meters. The lengths of J N and N L are 7.4 meters. The lengths of K M and M L are 10.7 meters. What is the distance between points M and N?
Answers
Answer:
i think 9.8 but im not sure
Step-by-step explanation:
The distance between points M and N is; 9.8 meters.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.
Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:
NM/19.6 = 7.4/(2×7.4)
Solving;
NM = 19.6/2
NM= 9.8 meters.
This follows that, the ratio of corresponding sides of congruent triangles are equal.
The distance between points M and N is; 9.8 meters.
Read more on congruent triangles;
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Please help me!!!!!!!!! thanks!
Answers
Answer:
4.19 units^3
Step-by-step explanation:
The volume formula for spheres is [tex]V = \frac{4}{3} r^3[/tex]
If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.
Answer: 4.19 cu. units
Step-by-step explanation:
Volume of a sphere = 4/3πr^3
= 4/3 x 3.14 x 1^3
= 4/3 x 3.14 x 1
= 4.19 cu. units
3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls? plz help me
Answers
Answer:
2245
Step-by-step explanation:
2282-37=2245
2245 students are girls
Answer:
1304
Step-by-step explanation:
3/7 of students are boys
total students= 2282
girls are 1-3/7= 4/7 of all students
girls= 2282*4/7= 1304
does anyone know this??
complete the solution of the equation. Find the value of y when x equals
-30 -2x - 3y = 42
Answers
Answer: y = 6
Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.
Can I get the answer to this?
Answers
m<JKL=45°
Please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
Answer:45°
Step-by-step explanation:
URGENT! WILL GIVE BRAINLIEST!! The graph shows the data of texting speed according to time.A graph has time (minutes) on the x-axis and texting speed (words per minute) on the y-axis. Points are at (1, 14), (1, 18), (2, 10), (2, 15), (2, 17), (3, 14), (4, 10), (4, 15), (5, 6), and (5, 10).Use the scatter plot to determine if there is a relationship. If there is a relationship, explain it.Yes, there is a relationship. As time increases, texting speed increases.Yes, there is a relationship. As time increases, texting speed decreases.Yes, there is a relationship. As texting speed increases, time increases.No, there is no relationship displayed.
Answers
Answer: Yes, there is a relationship. As time increases, texting speed decreases.
Step-by-step explanation:
that is for the people looking for the correct answer.
The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
Learn more about Scatter Plot:
https://brainly.com/question/13984412
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if BPD and dpc have a sum
of 72 degrees What is APC?
A. 18°
B 90°
D.180°
Answers
Write 18-2 square root of -9 in the form of a+bi
Answers
Answer:
[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]
Step-by-step explanation:
BC = -2x+85 BD = 5x-48 What is the length of BC?
Answers
Answer:
-2x + 85 = 5x - 48
85 = 7x - 48
7x = 133
x = 19
BC = -2(19) + 85
BC = -38 + 85
therefore, BC = 47
Step-by-step explanation: