Answer:
It's a direct variation condition,
hence ratio remains constant.
39 - 3
x - 4
x = 4×39/3 = 4×13 = 52 .. (for first blank space)
39 - 3
x - 10
x = 39×10/3 = 13×10 = 130 .. (for second blank space)
Answer:
39 ____ 3
52 ____ 4
130 ____ 10
To get the smaller numbers to a bigger one you'll times them by 13.
Divide 39 by 3 and you'll get 13 then time 4 by 13 to get the missing box answer do the same for number 10.
Use the Right Triangle Alt. Thm., Pythag. Thm. and/or Similar Triangles to solve.
Answer:
Step-by-step explanation:
A boat heading out to sea starts out at Point AA, at a horizontal distance of 968 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 7^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 3^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
As the distance from the lighthouse, LH, increases, the angle of elevation,
reduces.
The distance from point A to point B is approximately 1,269.9 feet.Reasons:
The distance of point A from the light house = 968 feet
Angle of elevation from point A to the lighthouse = 7°
Angle of elevation from point B to the lighthouse = 3°
Required:
The distance from point A to point B.
Solution:
[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\, angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{Horizontal \ from \ boat \ to \ the\ LH}}[/tex]
Which gives;
[tex]\displaystyle tan(7^{\circ}) = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{968 \ feet}}[/tex]
Height to the lighthouse = tan(7°) × 968 feet ≈ 118.86 feet
From point B, we have;
[tex]\displaystyle tan(3^{\circ}) = \mathbf{ \frac{118.86 \ feet }{Horizontal \ distance \ from \ point \ B\ to \ LH}}[/tex]
Therefore;
[tex]\displaystyle Horizontal \ distance \ from \ boat \ to \ LH = \frac{118.86 \ feet }{tan(3^{\circ})} \approx \mathbf{2237.9 \, feet}[/tex]
Therefore;
Distance from A to B = D
D = Horizontal distance from B to LH - Horizontal distance from A to LH
Distance from A to B = 2237.9 feet - 968 feet ≈ 1269.9 feet
The distance from point A to point B, D ≈ 1,269.9 feet
Learn more about trigonometric ratios here:
https://brainly.com/question/16577559
https://brainly.com/question/9107775
PLEASE YOU GUYS I NEED REAL HELP !!!!!!
The population of a town is modeled by the equation P=3485e0.12t, where “P” represents the population as of the year 2000.
According to the model, what will the population of the town be in 2010?
In approximately what year will the population reach 50,000 people?
Must answer and show appropriate work for both questions here.
Part A: 11,571 people in 2010
Part B: approx. 22 years
Part A: 38,416 people in 2010
Part B: approx. 13 years
Part A: 11,571 people in 2010;
Part B: approx. 13 years
Part A: 38,416 people in 2010;
Part B: approx. 22 years
The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.
Let P represents the population as of the year(t) 2000. Given the equation:
[tex]P=3485e^{0.12t}[/tex]
In the year 2010 (t = 10 years), the population would be:
[tex]P=3485e^{0.12*10}=11571\ people[/tex]
For the population to reach 50000 people:
[tex]50000=3485e^{0.12t}\\\\t=22\ years[/tex]
The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.
Find out more at: https://brainly.com/question/12490064
Lola's Suds costs $3.48 for a 12 ounce bottle. Bill's
Bubbles cost $1.60 for a 12 ounce bottle. Which
bottle cost less per ounce?
Answer: Bill's $0.1333333 per oz
Step-by-step explanation:
Question 28
What is the speed in m/s of a car that travels 30km in 20 minutes?
A: 1500 m/s B: 150 m/s
C: 90 m/s
D: 540 m/s
E: None of these
Answer:
E none of these
Step-by-step explanation:
first convert the 30 km into m
it will be 30000m
speed = distance /time taken
convert the time into seconds too it will be 1200
so 30000/1200 = 25m/s
none of the above
Is -4/-19 equivalent to -4/19
Answer:
No
Step-by-step explanation: The first one is positive and the second one is negative
How many combined points do lee high school and rye high school have lee high school has 85.9 points scored in two track meets and peters high school has 15.5 points scored in two track meets and rye high school has 23.4 points scored in two track meets what is the combined total points for all three highschools? Lee high school and rye high school have _ combined points
Answer:
124.8 points (Total)
109.3 points (Lee High School & Rye High School)
Step-by-step explanation:
Points by Lee High School = 85.9 pointsPoints by Peters High School = 15.5 pointsPoints by Rye High School = 23.4 pointsTotal
85.9 + 15.5 + 23.4101.4 + 23.4124.8 pointsLee HS and Rye HS
85.9 + 23.4109.3 pointsHow can i answer this question
Answer: 10g+6h+8
So none of the above I think
Step-by-step explanation:
Answer:
It should be C none of the above
What is the answer HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Find the inequality represented by the graph.
Answer:
y ≤ -1/3x + 1
Step-by-step explanation:
find the slope and y-intercept and write equation in form of
y = mx + b; m = slope and b = y-intercept
if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3
we can see by looking at the graph that the y-intercept is 1
therefore, y ≤ -1/3x + 1
anybody help please hm
Answer: [tex]2^{21}[/tex]
Step-by-step explanation:
According to legend, in 1589 the Italian scientist Galileo
Galilei dropped two rocks of different weights from the top of the Leaning Tower
of Pisa. He wanted to show that the rocks would hit the ground at the same time.
Given that the tower's height is about 177 feet, how long would it have taken for
the rocks to hit the ground?
1
To solve this problem solve the equation
O= 16t² + 177 Round to the hundrettes place,
Don't forget
to label your
answer
From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.
From the information given, the formula for the height is given as:
h(t) = -16t² + v + h0
where,
h0 = 177
h(t) = 0
We'll put the values back into the formula. This will be:
h(t) = 16t² + v + h0
0 = -16t² + 177
16t² = 177
t² = 177/16
t = 3.326
Therefore, the time taken will be 3.326 seconds.
Learn more about time on:
https://brainly.com/question/2147281
You went to a carnival. Each ride cost $2.50. Let n represent the
number of rides.
Can someone plz help Me?
Answer:
A
[tex]^{}[/tex]
Lizzy wants to solve the equation 6(2x + 1) = 4x – 5. Which step would be an appropriate first step for Lizzy to take to solve for x?
Answer:
distribute parenthesis
Step-by-step explanation:
6(2x + 1) = 4x - 5 ← distribute parenthesis on left side
12x + 6 = 4x - 5 ( subtract 4x from both sides )
8x + 6 = - 5 ( subtract 6 from both sides )
8x = - 11 ( divide both sides by 8 )
x = - [tex]\frac{11}{8}[/tex]
What is 5 1/4 ➗ -2 1/2 equal to?
Answer:
-2.1
Step-by-step explanation:
Answer:
Hi, I hope i'll help you.
Step-by-step explanation:
The answer is 2.1, hope it helps!
Can someone plz help Me?
Answer:
i am pretty sure its C
Step-by-step explanation:
Test 1 2021-22 19 of 9
The graph represents Samantha's walk in front of a motion detector. Identify two points marked on the graph that define the interval
where her average rate of change was 2/3 meters per second.
Motion Detector Walk
Given that the shape of the graph is curved, the rate of change can be
estimated by using the average value between specified points.
The points are;
[tex]\underline{(6, \, 6)}[/tex][tex]\underline {(9, \, 8)}[/tex]Reasons:
The coordinates of the points marked (distances and time) during the walk are;
[tex]\begin{tabular}{|c|c|}Time (seconds), x&Distance from motion detector (meters), y\\0&1\\3&2\\5&4\\6&6\\7&7\\9&8\end{array}\right][/tex]
Required: Identification of two points marked on the graph that define the
interval where Samantha's average rate of change was 2/3 meters per
second.
Solution:
The average rate of change between two points is given by the ratio of
difference in the distance from the motion detector to the difference in
time between the points.
[tex]\displaystyle Average \ rate \ of \ change = \frac{Change \ in \ distance}{Change \ in \ time} = \mathbf{ \frac{\Delta y}{\Delta x}}[/tex]
At the required points, the change in the y-values, will be 2 × a, while the
corresponding change in x-values will be 3 × a, where, a is rational number.
From the above table, at the points where the time is 6 seconds and 9
seconds, we have the following distance time ordered pair;
(6, 6), and (9, 8), from which we have;
[tex]\displaystyle Average \ rate \ of \ change =\frac{\Delta y}{\Delta x} = \mathbf{\frac{8 - 6}{9 - 6}} = \frac{2}{3}[/tex]
Therefore;
The points [tex]\underline{(6, \, 6)}[/tex], and [tex]\underline {(9, \, 8)}[/tex], are two points that represent an interval
where her average rate of change was 2/3 meters per second.
Learn more about average rate of change of a graph here:
https://brainly.com/question/9650454
If a truck leaves on Friday traveling 55 mph and is able to travel 10 hours per day, how many miles will it have driven after Monday?
Solve the equation 3(2x + 2) = 3x - 15.
Ox=-7
17
Ox=-
Ox=3
Ox=7
Simplify:
6x + 6 = 3x - 15
Now use all solutions
6(7) + 6 = 3(7) - 15
42 + 6 = 21 - 15
Nearly, you can tell it doesn't work.
6(-7) + 6 = 3(-7) - 15
-42 + 6 = -21 - 15
-36 = -36
So, -7 is x.
Answer:
[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]
[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]
[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]
[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]
[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]
[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]
Please help (Math)......
[tex]|x|^2 -2|x|-3=0\\\\\implies |x|^2 - 3|x| + |x| - 3 =0\\\\\implies |x|(|x| -3) + (|x| -3) = 0\\\\\implies (|x| - 3)(|x| +1) =0\\\\\implies |x| -3 = 0~~ \text{Or} ~~ |x| +1 =0\\\\\implies |x| = 3 ~~ \text{Or}~~ |x| = -1;\\\\\text{For}~ |x|= -1 ,~\text{ there are no solution for } x \in \mathbb{R}\\\\\text{So,}\\\\|x| = 3 \implies x = \pm 3[/tex]
Write an equation of a line which has a slope of -2 and goes through the point (-4,11)
Answer:
See answers below
Step-by-step explanation:
slope-intercept form- y=-2x+3
point slope form- y-11=-2(x+4)
Use the given slope and point to substitute into the point-slope formula
then you can solve for y=mx+b
Can someone help answer b plzzz
If a team won 2/3 of its games and lost the rest. what was the team's win-loss ratio
Answer: 2 wins to 1 loss
Step-by-step explanation:
What is 2/3, 7/6, 3 1/9, and 5 5/18 written as a decimal?
Please give an explanation and a correct answer!
I will give brainliest to whoever answers first!
Step-by-step explanation:
[tex] \frac{2}{3} = 2 \times \frac{1}{3} = 2 \times 0.333 = 0.666 \\ \\ \frac{7}{6} = 7 \times \frac{1}{6} = 7 \times \frac{1}{2} \times \frac{1}{3} = 7 \times 0.5 \times 0.333 = 1.1655 \\ \\ 3 \frac{1}{9} = 3 + \frac{1}{9} = 3 + ( \frac{1}{3} \times \frac{1}{ 3} ) = 3 + (0.333 \times 0.333) = 3 \times 0.11088 = 3.11088 \\ \\ 5 \frac{5}{18} = 5 + (5 \times \frac{1}{18} ) = 5 + (5 \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{2} ) = 5 +(5 \times 0.333 \times 0.333 \times 0.5) = 5 + 0.27722 = 5.27722[/tex]
6 less than one-third of a number m is y
Answer:
(m×1/3)-6=y
Step-by-step explanation:
Start with m as the unknown variable.Now multiple that by 1/3 to find that portion of m. (m×1/3)Lastly, subtract 6 and set the expression equal to y. (-6=y)Thus we get our final equation: (m×1/3)-6=yquick pls!! my math grade is at a B! I need to raise it.
Helpppppppppp assssaaaap
==================================================
Explanation:
x = speed of the plane in mph
x-180 = speed of the car, since its 180 mph slower than the plane
For the plane, we can form the equation
distance = rate*time
d = r*t
500 = xt
t = 500/x
For the car, we can say,
d = rt
140 = (x-180)t
140 = (x-180)*(500/x)
140x = 500(x-180)
140x = 500x - 90,000
140x - 500x = -90,000
-360x = -90,000
x = (-90,000)/(-360)
x = 250
The speed of the plane is 250 mph
-----------------------------
Extra info:
The car's speed is x-180 = 250-180 = 70 mph
It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.
pls help
Determine if each pair of ratios is equivalent or not. 6/8 21/36
Answer:
Not
Step-by-step explanation:
6/8 In Simplest Form 3/4
21/36 In Simplest Form 7/12 May Be The Answer Will Be Not Equivalent
Hope To Help!!!
8^3x=16^2x
Can you please solve this it is 8 to the power of 3x and 16 to the power of 2x
Answer:
2000kkkkkkkkkkklllllk