Answers
Related Questions
At 10:00 am, a person observes a hot air balloon climbing vertically in the air from a
point 300 meters away from the launch pad for the balloon. The angle of elevation to
the top of the balloon at this time is 25°. At 10:02am, the person observes that the
angle of elevation to the balloon is now 60°. What is the change in altitude, to the
nearest meter, for the balloon over the 2 minutes between the first and second
observations?
Answers
Answer:
We are given two observations Lets use geometric properties to solve300 meters is the hyp or c Theta is 25 degree Theta changes to 60 degree Hence tan(25)= x1/300x1=139.8Now let's find the second height tan(60) =x2/300x2=519.6 ft Now x2-x1 So the difference is 379.8 ftWhy is the radius 4?
Answers
Answer:
Please check explanations
Step-by-step explanation:
The equation of a circle can be represented as;
(x-h)^2 + (y-k)^2 = r^2
r is the radius while (h,k) represents the coordinates of the center
Thus, we have that;
(x-2)^2 + (y+3)^2
That would give;
x^2 - 4x + 4 + y^2 + 6y + 9
The sum of values with no coefficient is;
4 + 9 = 13
If we take this to the other side, we can have 13 + 3 = 16
The square root of this is then 4
Mathematically, we can therefore express the equation of the circle as;
(x-2)^2 + (y-+3)^2 = 4^2
By expansion, we will get the original given equation
Select the correct answer.
What is the missing side length in this right triangle?
Answers
Answer:
15
Step-by-step explanation:
It's a right angle triangle so we can use the pythogorean theorem to solve for Hypotenuse
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
So if we apply this formula,
[tex] {9}^{2} + {12}^{2} = {c}^{2} [/tex]
[tex]81 + 144 = {c}^{2} [/tex]
[tex]225 = {c}^{2} [/tex]
[tex]c = \sqrt{225} [/tex]
[tex]c = 15[/tex]
Hope this helps :)
a^2 + b^2 = c^2
Now since we know a = 9, and b = 12 we can plug those in :)
9^2 + 12^2 = c^2
Remember 9^2 = 81, 12^2 = 144
81 + 144 = c^2
Now add those together m
225 = c^2
Now we need to square root both sides to get rid of the power of 2
square root(225) = square root(c^2)
So the answer is ——> c = 15
Melissa and Thomas both solved the same problem using different methods. Their work is shown below. Who solved the problem incorrecly? Explain.
Answers
1. Solve this quadratic by factoring
6x^2+7x-5=0
2. Solve this quadratic by factoring x^2+5x-14=0
3. Solve this quadratic using the quadratic formula
3x^2-7x-9=0
4. Solve this quadratic by factoring
X^2-25=0
5. Solve this quadratic by factoring
X^2-6x=0
Please show work.
Answers
ANSWER #1:
x = -1.666666667
x = 0.5
STEP-BY-STEP:
Simplifying
6x2 + 7x + -5 = 0
Reorder the terms:
-5 + 7x + 6x2 = 0
Solving for variable 'x'.
(-5 + -3x)(1 + -2x) = 0
SUBPROBLEM 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:
Simplifying
-5 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5
Combine like terms:
0 + -3x = 0 + 5
-3x = 0 + 5
Combine like terms:
-3x = 5
Divide each side by '-3'.
x = -1.666666667
Simplifying
x = -1.666666667
SUBPROBLEM 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Move all x terms to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms:
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms:
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
ANSWER #2:
x = -7
x = 2
STEP-BY-STEP:
Simplifying
x2 + 5x + -14 = 0
Reorder the terms:
-14 + 5x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-7 + -1x)(2 + -1x) = 0
SUBPROBLEM 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:
Simplifying
-7 + -1x = 0
Solving
-7 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms:
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms:
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
SUBPROBLEM 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '-2' to each side
2 + -2 + -1x = 0 + -2
Combine like terms:
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms:
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
ANSWER #3:
x = 3.25
x = -0.92
STEP-BY-STEP
Simplifying
3x2 + -7x + -9 = 0
Reorder the terms:
-9 + -7x + 3x2 = 0
Solving for variable 'x'.
Divide each side by '3'.
-3 + -2.333333333x + x2 = 0
Add '3' to each side
-3 + -2.333333333x + 3 + x2 = 0 + 3
Reorder the terms:
-3 + 3 + -2.333333333x + x2 = 0 + 3
Combine like terms:
0 + -2.333333333x + x2 = 0 + 3
-2.333333333x + x2 = 0 + 3
Combine like terms:
-2.333333333x + x2 = 3
The x term is -2.333333333x. Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.
Add '1.361111112' to each side
-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112
Reorder the terms:
1.361111112 + -2.333333333x + x2 = 3 + 1.361111112
Combine like terms:
1.361111112 + -2.333333333x + x2 = 4.361111112
Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 4.361111112
Calculate the square root of the right side: 2.088327348
Break this problem into two subproblems by setting
(x + -1.166666667) equal to 2.088327348 and -2.088327348.
SUBPROBLEM 1
x + -1.166666667 = 2.088327348
Simplifying
x + -1.166666667 = 2.088327348
Reorder the terms:
-1.166666667 + x = 2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side
Combine like terms:
0.000000000 + x = 2.088327348 + 1.166666667
x = 2.088327348 + 1.166666667
Combine like terms:
2.088327348 + 1.166666667 = 3.254994015
Simplifying
x = 3.254994015
SUBPROBLEM 2
x + -1.166666667 = -2.088327348
Simplifying
x + -1.166666667 = -2.088327348
Reorder the terms:
-1.166666667 + x = -2.088327348
Solving
-1.166666667 + x = -2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667
Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -2.088327348 + 1.166666667
x = -2.088327348 + 1.166666667
Combine like terms: -2.088327348 + 1.166666667 = -0.921660681
x = -0.921660681
Simplifying
x = -0.921660681
ANSWER #4:
x = -5
x = 5
STEP-BY-STEP:
Simplifying
x2 + -25 = 0
Reorder the terms:
-25 + x2 = 0
Solving
-25 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side
-25 + 25 + x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + x2 = 0 + 25
x2 = 0 + 25
Combine like terms: 0 + 25 = 25
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
The height, h, of a baseball in meters at t seconds after it is tossed out of a window is modeled by: h = -5t2 + 2t + 15. A boy shoots
at the baseball with a paintball gun. The trajectory of the paintball is given byh = 3t+ 3. Please answer the following two questions,
Make it clear which solution belongs with each question!
Q1: At what height will the paintball hit the baseball? Round your answer to the nearest thousandths place.
Answers
Jazmine makes a base salary of $750 per week. She sold a car this week for $25,000 and get a 3% commission on her sales. What is her total salary this week?
Answers
Answer:
1,500
Step-by-step explanation:
need help solving a practice question
Answers
look at the step by step explanation.
Step-by-step explanation:
Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.
Answer:
Complicated answer.
Step-by-step explanation:
So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.
1. The perimeter is actually 24
2. The side lengths are actually 4
Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!
Factor 2mp - 3p - 4m - 6
Answers
Answer: mp • (3m3 + 8m2p - 2p2)
Step-by-step explanation:
3m4p + 8m3p2 - 2mp3 = mp • (3m3 + 8m2p - 2p2)
8.2 Factoring 3m3 + 8m2p - 2p2
2. 4x + 5y = -30
Slope-standard form
Answers
5y=-30-4x
5y=-4x-30
Y=-4/5x-6
please find the x for these
Answers
Answer:
x=b-8a/8
x=b+8a/a
x=2-2c/c
2^k is the largest power of 2 the is a factor of (9!). What is k
Answers
Step-by-step explanation:
9!
= 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9
= ... * 2¹ ... * 2² ... * (2 * 3) ... * 2³
= 2⁷ ...
Hence k is 7.
Tina has 10 packages of yarn to knit a scarf. She uses ⅓ package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?
Answers
Answer: 30
Step-by-step explanation:
From the question, we are informed that Tina has 10 packages of yarn to knit a scarf and that he uses ⅓ package of yarn for each inch of length she adds to the scarf.
Since she used all the yarn, the length of the cloth would be:
= 10 ÷ 1/3
= 10 × 3
= 30 inch
Alicia drew a map of Texas. In the scale Alicia used for the map, .50 inch represents 20 miles. What is the distance between two cities on the map if the actual distance between the two cities is 360 miles?
Answers
Answer:
An actual distance of 360 miles correspond to 9 inches on the map
Step-by-step explanation:
From the question, we have a scale of 0.5 inches representing 20 miles
Now, we want to relate an actual distance of 360 miles to a measurement on the map using the scale
From here, we have that;
0.5 inches = 20 miles
x inches = 360 miles
x * 20 = 0.5 * 360
20x = 180
x = 180/20
x = 9 inches
OK so dont know srry bout that
what is eight over nine divided by two over three equal to?
Answers
Answer:
4/3
Step-by-step explanation:
Let the fractions be A and B.
Given the following data;
Fraction A = 8/9
Fraction B = 2/3
[tex] \frac {Fraction A}{Fraction B} = \frac {\frac {8}{9}} {\frac {2}{3}} [/tex]
[tex] \frac {Fraction A}{Fraction B} = \frac {8}{9} * \frac {3}{2} [/tex]
[tex] \frac {Fraction A}{Fraction B} = \frac {24}{18} [/tex]
Dividing by 6, we have;
[tex] \frac {Fraction A}{Fraction B} = 4/3 [/tex]
Please help i have no idea what this is :(
Answers
Answer: y - 3= -1/2 * (x - 8)
Answer:
y=-1/2x+3
Step-by-step explanation:
Slope intercept form is written: y=mx+b...
y=doesn't change, but you need it by itself
m=slope
x=the variable right next to the slope
b=y-intercept
Also, don't worry! This is super simple ^^
The question gives us -1/2 as the slope, so it needs to be plugged into the equation as m (next to x). Now our equation looks like this:
y=-1/2x+b
Next, we can figure out b. B is the y-intercept and we can figure this out by looking at the ordered pair (8, 3). The y is the second number, which is 3, so that is the y-intercept! We can now plug in 3 into b. Our final equation looks like this:
y=-1/2x+3
Hope this helps!! Have an awesome day ❤
Help
Please due now!!!!
Answers
Answer:
3920
Step-by-step explanation:
(9+11)(14•14)
(20)(196)
20 x 196
3920
Answer:
3920
Step-by-step explanation:
According to the question ,
x = 14 ; y = 9 ; z = 2
So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]
[tex] = > (9 + 11)( {14}^{2} )[/tex]
[tex] = > 20 \times 196 = 3920[/tex]
Lake Chad in Africa had a surface area of about 10,000 square miles in 1963. Because of climate changes and increased water usage by humans, the surface area decreased to about 850 square miles in 2001. By what percent did the surface area change from 1963 to 2001?
Answers
Answer:
iuebyefyurbfuyrfbofrvfeybyrvfewqybqwyboiwqebfiwuqefbiwuqefbipuwqefbipuwqefbpiuwqef
Step-by-step explanation:
The tables correspond to two lines in the coordinate plane.What is the X- coordinate of the solution of the two lines? hint:what point is the same?
Answers
Answer:
2
Step-by-step explanation:
when x=2, both lines have a y of -4
Two lines, M and N, are represented by the following equations: Line M: y = x + 3 Line N: y = −2x + 6 Which of the following options shows the solution to the system of equations and explains why?
A (1, 4), because the point does not lie on any axis
B (1, 4), because one of the lines passes through this point
C (1, 4), because both lines pass through this point
D (1, 4), because the point lies between the two axes
Answers
Answer:
C (1, 4), because both lines pass through this point
Step-by-step explanation:
do the graph when both lines pass through the same point
1) Line M, for: x=0, and y=0
2) Line N, for: x=0, and y=0
Answer:
C (1, 4), because both lines pass through this point
Step-by-step explanation:
got it right
1. The point (4, - 2) is the vertex of the graph of a quadratic function. The points (8,6)
and (2,0) also fall on the graph of the function. Complete the graph of this
quadratic function by first finding two additional points on the graph.
2
0
10
10
9
-8
-4
-6
-2
4
6
8
10
-2
-4
-6
-107
Part A:
What is the y-intercept of the graph?
Part B:
What are the x-intercepts?
Part C:
Find the interval on which the rate of change is always positive.
Part D:
What is the sign of the leading coefficient for this quadratic function? How
do you know?
El
Answers
Answer:
It doesn't make sense and their no picture that provides us with clear evidence on how to answer this better then how your explaing
Step-by-step explanation:
I don't know how to know how to answer this lol, because I need a better explination
Which of these steps will eliminate a variable in this system?
6x - 3y = 8
23 + 6y = 16
A. Multiply the first equation by 2. Then subtract the second equation
from the first
B. Multiply the second equation by 3. Then add the equations.
C. Multiply the second equation by 2. Then add the equations.
D. Multiply the second equation by 3. Then subtract the second
equation from the first.
Answers
Answer:Multiply the second equation by 3. Then subtract the second equation from the first.
Step-by-step explanation:
6a - 3d
When a =1,d=2
Is it 0
3
1
12
Answers
Answer:
0
Step-by-step explanation:
REEEEEEEEEEEEEEEEE I need help plz ;-;
Answers
Answer:
Step-by-step explanation:
150 ft in 30 seconds
150/30=5 we have 5 ft per second
in 10 seconds 5*10=50 ft
choice C
Answer:
C: y=5x; 50
Step-by-step explanation:
Dividing 130 by 5 tells you that they travel 5 feet per second.
So,
y=5x
y=5(10)
50
help me plzz will mark brainliest
Answers
Answer:
[tex]x=7,\\y=6[/tex]
Step-by-step explanation:
The segment [tex]UV[/tex]consists of [tex]UZ[/tex] and [tex]VZ[/tex]. Therefore, we can write the following equation:
[tex]3y-5+2y+2=27,\\5y-3=27,\\5y=30,\\y=\fbox{$6$}[/tex].
Since [tex]UV[/tex] bisects [tex]TW[/tex], [tex]TZ\cong WZ[/tex].
Therefore,
[tex]3x+3=3y+6,\\3x+3=3(6)+6,\\3x+3=18+6,\\3x+3=24,\\3x=21,\\x=\fbox{$7$}[/tex]
Don's credit score is 777, while Zelda's credit score is 709. According to the
following table for a $150,000 mortgage, how much more would Zelda have
to pay per month than Don?
FICO
Interest
rate
5.59%
Monthly
payment
$860
score
720-850
700-719
675-699
620-674
560-619
500-559
5.71%
6.25%
7.40%
8.53%
9.29%
$872
$924
$1039
$1157
$1238
O A. $115
O B. $52
C. $64
D. $12
Answers
Answer: D
Step-by-step explanation: $12
Zelda would have to pay $64 more per month than Don as per the given data. The correct option is C.
Since Don's credit score is 777, his FICO score range is 720-850, and he will be charged an interest rate of 5.59%. Thus, his monthly payment will be $860.
For Zelda, since her credit score is 709, her FICO score range is 675-699, and she will be charged an interest rate of 6.25%. Using this interest rate and the mortgage amount of $150,000, her monthly payment would be $924.
Therefore, Zelda would have to pay $64 more per month than Don. The answer is option C.
For more details regarding credit score, visit:
https://brainly.com/question/25668115
#SPJ7
2x^2-2x , how do you graph this ?
Answers
Answer:
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
1
8
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
8
−
1
2
0
0
1
2
2
8
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
1
8
x
y
−
2
8
−
1
2
0
0
1
2
2
8
Help me please it’s almost due
Answers
Answer: A
Step-by-step explanation:
Simplify the expression.
5(8x-10)-10x+25(8x−10)−10x+2
50x - 48
50x + 48
30x - 48
30x + 52
witch one is correct
Answers
= (40x - 50) - 10x + (200x - 250) - 10x + 2
= 40x - 50 - 10x + 200x - 250 - 10x + 2
= (grouping like terms together)
= 40x - 10x + 200x - 10x - 50 - 250 + 2
= 220x - 298
plz help so i can pass
Answers
Answer:
A im pretty sure it is
Step-by-step explanation: