A railroad track rises 10 feet for every 400
feet along the track. What is the measure-
ment of the angle the track forms with the
horizontal?
Answer:
1.43 degrees
Step-by-step explanation:
Think of this as a triangle with an x (horizontal) value of 400 and a y (vertical) value of 10.
Using this train of thought, we can use SOHCAHTOA to find that the tan of some angle (we will use Ф to represent this angle) is equal to the opposite (vertical) value divided by the adjacent (horizontal) value.
As an equation, it looks like this: tan (Ф) = 10/400.
We can use the arctan to find Ф from this equation: arctan (10/400) = Ф
Therefore, Ф is about 1.43 degrees.
A straw is placed inside a rectangular box that is 6 inches by 10 inches by 9 inches, as
shown. If the straw fits exactly into the box diagonally from the bottom left corner to
the top right back corner, how long is the straw? Leave your answer in simplest
radical form.
9 in.
10 in.
6 in.
Choose the items that complete the sentence about the key features of f(x) = 8x.
Answer:
See below.
Step-by-step explanation:
Y-intercept - 1
Asymptote - 0
Range - y>0
-hope it helps
Ordered: 100mg. Available: 0.1g. How many tablets should be given?
calculate the interest if R300 is invested for 3years at 5% per annum compound interest.
Answer:
SIMPLE INTEREST=PRT/100
P=300
R=5%
T=3
SI=300×5×3/100
SI=3×5×3
SI=45
Answer:
Compound InterestPrincipal(P) = R300 rate( r )=5% n=5 years
Total amount
= P(1+r/100)^n
= 300(1+5/100)^3
=R347. 2875
Interest
= Total amount - Principal amount
= 347.2875 - 300
= R47.2875
= R47.30( rounded up to 2
decimal places)
A room that is 5 meters long has an area
of 5x + 10 square meters. What expression
represents the width of the room
Answer:
Breadth=x+2
Step-by-step explanation:
[tex]Solution,\\\\Length(l)=5m\\\\Area=5x+10m^{2} \\\\Breadth(b)=?\\\\As,\\\\Area=l*b\\\\5x+10=5*b\\\\b=\frac{5x+10}{5}\\\\b=\frac{5x}{5} +\frac{10}{5} \\\\b=x+2[/tex]
What is the solution to the equation below. square root x - 4 = -2
Answer:
Answer A is correct
Step-by-step explanation:
√x - 4 = -2
√x = -2 + 4
√x = +2
x = 2²
x = 2 × 2
x = 4
Hope this helps you :-)
Let me know if you have any other questions :-)
On average the number of drum sets sold in Michigan each year is 101,968, which is eight times the average number of drum sets sold each year in South Dakota. How many drum sets, on average, are sold each year in South Dakota?
Answer:
12,746
Step-by-step explanation:
To find this answer, we need to divide by 8
Since we know that South Dakota sells 8X less than Michigan, we have to use the opposite sign (which in this case is division.)
Now, we use the equation 101,968/8 which gets us an answer of…
12,746!
A traveller arrived at 17: 25. The journey took 5 hours and 50 minutes. What time did the traveller start?
Explanation:
"5 hours 50 minutes" is close to "6 hours"
Let's subtract 6 hours from 17:25
It would drop us to 11:25 since 17-6 = 11.
When we subtracted 6 hours, we subtracted 10 extra minutes that we shouldn't have done. To fix this, add 10 minutes on to go from 11:25 to 11:35
Answer:
The traveler started at 11:35
Step-by-step explanation:
The question already gives you the time that the traveler arrived which is 17:25 and how long it took them to get to the desired location which was 5 hours 50 minutes. So what you need to do is subtract the time the traveler arrived to how long it took to get there.
Equation:
17:25 - 5:50
= 11:35
find x in the following image
Answer:
70°
Step-by-step explanation:
As, the sum of the angles in a straight line is 180°.
<E F C + < E F B = 180
70 + < E F B = 180
< E F B = 180 - 70
< E F B = 110°
Also, we know that the sum of the interior angles in a quadrilateral is 360°
So,
< E A B + < A E F + < E F B + < F B A = 360
90 + 90 + 110 + x = 360
290 + x = 360
x = 360 - 290
x = 70°
Hope this helps you :-)
Let me know if you have any other questions :-)
In 2011 online sales were $194 billion, and in 2014 they were $251 billion.
a) Find a linear function that models these data, where is the sales in billions of dollars and x is the year. Write S(x) in slope-intercept form.
b) Interpret the slope of the graph of S.
c) Determine when online sales were $232 billion.
Answer:
a)
Step-by-step explanation:
find a linear function that models these data.
Logic question: 9 2 12 3 8 6 ?
Answer:
6
Step-by-step explanation:
2 + 6 = 8
6 + 6 = 12
3 + 6 = 9
? = 6
The value of the center digit which satisfies the given scenario is 6.
What is a polygon?A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.
Each line of the polygonal circuit's segments are referred to as its edges or sides.
If we observe the given polygon carefully every opposite side has a difference of 6 from the bigger number to the smaller number.
9 - 3 = 6.
8 - 2 = 6.
12 - 6 = 6.
So, In the center of the polygon or a hexagon, the number should be 6.
learn more about hexagons here :
https://brainly.com/question/3295271
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Gasoline costs $3.25 per gallon How much does it cost to drive
the 838 miles to Seattle if your car gets 27 miles per galona
Answer:
$100.87 (to the nearest cent)
Step-by-step explanation:
1 gallon = 27 miles
⇒ number of gallons needed to drive 838 miles = 838 ÷ 27 = 31.0370370... gallons
1 gallon = $3.25
⇒ total cost to drive 838 miles = 3.25 x 838/27 = $100.87 (to the nearest cent)
8x + 4y = -104
4x + y = -24
Step-by-step explanation:
there are different ways you could do it using the elimination and substitution method.
hope this helps you!
-s.
Answer:
x = 1 and y = -28
(1,-28)
:- SolutionElimination & Substitution method
8x + 4y = -104 →multiply by 1
4x + y = - 24 →multiply by 4
8x + 4y = -104
16x + 4y = -96
____________-
-8x = -8
x = -8/-8
[tex] \boxed{x = 1}[/tex]
Substitute x
4x + y = -24
4(1) + y = -24
4 + y = -24
y = -24 - 4
[tex] \boxed{y = - 28}[/tex]
f(x) = x^3 - 5x^2 - x ; find f(3)
Answer:
Here is your answer
Step-by-step explanation:
Question: f(x)= x³-5x²-x
Answer:. f(3)=3³-5 x 3³ -3
f(3)=27 -135 -3
f(3)=27-138
f(3)=-111
hope this helps you
please mark me brainliest
have a great day :)
A soccer league has 190 players. Of those players 40% are boys. How many boys are in the soccer league?
A.
76
B.
150
C.
760
D.
114
Answer:
There are 76 boys in the soccer league.
Step-by-step explanation:
You can set up this equation:
Turn 40% into 0.40
0.40 x 190 = ?
76 boys.
mathematics homework
sorry, I can't do other.
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
Caleb and Devon each bowled for [tex]10[/tex] hours and spent [tex]\$55[/tex].
Step-by-step explanation:
Equations:
Caleb: y = 4x + 15Devon: y = 5x + 5Where:
x = hours spent bowlingy = the total costSystem of equations:
[tex]\begin{cases}y=4x+15\\y=5x+5\end{cases}[/tex]
Solve for x
Step 1: Substitute the second equation into the first.
[tex]\implies 4x+15=5x+5[/tex]
Step 2: Subtract [tex]5x[/tex] from both sides
[tex]\implies 4x-5x+15=5x-5x+5[/tex]
[tex]\implies -x+15=5[/tex]
Step 3: Subtract [tex]15[/tex] from both sides.
[tex]\implies -x+15-15=5-15[/tex]
[tex]\implies -1x=-10[/tex]
Step 4: Divide both sides by [tex]-1[/tex] .
[tex]\implies \dfrac{-1x}{-1}=\dfrac{-10}{-1}[/tex]
[tex]\implies \boxed{x=10}[/tex]
Solve for y
Step 1: Substitute the found [tex]x[/tex] value into one of the system of equations.
[tex]\implies y=4(10)+15[/tex]
Step 2: Multiply and add.
[tex]\implies y=40+15[/tex]
[tex]\implies \boxed{y=55}[/tex]
Therefore, Caleb and Devon each bowled for 10 hours and spent $55.
At Best Buy they have a 60" TV that sells for $1250 and is on sale for 15% off. If the sales tax is 6.5%, what is the final cost?
Answer:
Step-by-step explanation:
The sale price = Initial Cost - 15% of the initial Cost
The sale price = 1250 - 15/100 * 1250
The sale price = 1250 - 187.5
The Sale Price = 1062.5
Now you add on the sales tax
Cost with Sales Tax = 1062.50 + 6.5/100 * 1063
Cost with Sales Tax = 1062.50 + 69.06
Cost with Sales Tax = 1131.56 dollars.
Complete the statement below.
The
property can be used to remove the parentheses in the expression 1.7(x + 9).
Answer:
I believe it is the "square root" sign
Answer:
distributive
Step-by-step explanation:
what does the ordered pair (1,1000) on the graph represent
Answer:
They were at an elevation of 1,000 feet after 1 hour of work.
Step-by-step explanation:
The cat weighs 7 3/4 pounds.The cats weight is 2/3 the weight of the dog.How much does the dog weigh!
Answer:
11.625 pounds
Step-by-step explanation:
x = weight of dog
7 3/4 = 2/3(x)
7 3/4 divided by 2/3 = x
x = 11.625 pounds
Answer:
11 5/8
Step-by-step explanation:
let 'd' = dogs weight
7 3/4 equals 2/3d
change 7 3/4 to an improper fraction: 31/4
to isolate 'd', each side needs to be multiplied by 3/2
31/4 × 3/2 = d
93/8 = d
11 5/8 equals dogs weight
I have a problem with this question. Please help, thank you.
Answer:
x= 7/12
Step-by-step explanation:
3/4- 1/6
18/24- 4/24
14/24
7/12
A text message plan costs $2 per month plus $0.36 per text. Find the monthly cost for x text messages.
Answer:
2 + 0.36x
Step-by-step explanation:
0.36x = Total cost for x text messages
2 = Cost per month (no matter how many messages you send)
The answer is 2 + 0.36x
Hope this helps :)
Have a nice day!
Answer this correct forr brainliest answer
Answer:
D
Step-by-step explanation:
1 1/5 = 6/5. 6/5 x 8/8 = 48/40.
2 1/8 = 17/8. 17/8 x 5 = 85/40
:)
Answer:
D) [tex]\frac{48}{40} + \frac{85}{40}[/tex]
Step-by-step explanation:
[tex]1 \frac{1}{5} =5*1+1= 5+1 =6[/tex]
[tex]\frac{6}{5}[/tex]
[tex]2\frac{1}{8}=8*2+1=16+1 = 17[/tex]
[tex]\frac{17}{8}[/tex]
5 and 8 have a common multiple of 40
[tex]\frac{6}{5}[/tex] + [tex]\frac{17}{8}[/tex] = [tex]\frac{48}{40} + \frac{85}{40}[/tex]
Hope this helps!
Constant rate of change of y=4x-3?
10 POINTS
Answer:
4
Step-by-step explanation:
The constant rate of change is the slope
This line is written in the form y = mx + b
y = outputx = inputm = slopeb = y - interceptThe slope is the same as the constant rate of change. In this case, m is 4.
-Chetan K
help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please help me please
okay put heat on the left
Step-by-step explanation:
Answer:
The heat is rising is progressive tense.
The steak was cooking nicely is perfect tense.
A day at the mall will be boring is progressive tense.
Ed will have finished by now is perfect tense.
I have weeded the garden is perfect tense.
Eva had read that mystery novel is perfect tense.
Step-by-step explanation:
The progressive tenses are used to indicate an unfinished action. The perfect tenses describe a finished action, beginning in the past.
pls help me on this i need to pass it tomorrow
Answer:
1 angle in straight line add up to 180
Step-by-step explanation:
for example 2x +3x+3x+7=180 the put like term together trust me
Thi has taken four math tests. She scored 96 on her
first test. For each of the next three tests, the table shows the
change in score from the previous test. Find the mean of
the changes.
Answer:
84.5
Step-by-step explanation:
1: 96 - 13 to get difference = 83
2: 83 - 5 = 78
3: 78 + 3 = 81
4: (83 + 78 + 81 + 93) / 4 = 84.5
PLEASE HELP!!!
Find the value of x.
78°
(12x + 18)"
X = 5
Step-by-step explanation:
78 = 12x+18
-18 -18
60 = 12x
5 = x