Answer: Actual distance = 37.5 miles
Step-by-step explanation:
Let x be the actual distance
Given information
Length on map = 7.5 inches
Scale = 1 inch : 5 miles
Set up proportion
[tex]\frac{7.5}{x} =\frac{1}{5}[/tex]
Cross multiply to convert out of fraction form
[tex]7.5*5=1*x[/tex]
[tex]\boxed{x=37.5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Write a slope-intercept equation for a line passing through the point (5,-5) that is parallel to the line x = -2. Then write a second equation for a line passing through the point (5,-5) that is perpendicular to the line x=-2.
Answer:
1. y=-2x+5
2. y=1/2x-7.5
Step-by-step explanation:
you plug in the cordinates for the y intercept and you already have the slope.
y=mx+b
m= slope which is -2
Help! ASAP. The question is in the attachment below
Answer:
Step-by-step explanation:
The most obvious answer is the line y = 1.
Solve the equation :
-3 • ( 2 - x ) + 4 = 2 • ( 1 - 2x) + 3
thanks :)
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 1
-6+3x+4=2-4x+3
-8+7x+1=0
7x=7
x=1
Answer:
x=1
Step-by-step explanation:
SEE IMAGE for Solution
Which Venn Diagram is NOT correct?
not sure how to solve
Please help me solve this fast!
Answer:
base = 18.89
legs = 16.89
Step-by-step explanation:
x + x + 68 = 180
2x + 68 = 180
2x = 112
x = 56
The altitude = 14
Tan(56) = opposite / adjacent
adjacent = base
opposite = altitude
Tan(56) = opposite / base Multiply both sides by the base
base * Tan(56) = opposite Divide by Tan(56)
base = opposite / Tan(56)
base = 14/tan(56)
base = 9.443
The base is actually twice this length because the altitude lands on the midpoint of the opposite side and is perpendicular to the third side (base).
base = 18.886
Legs are the hypotenuse formed by 1/2 the base and the attitude.
Sin(56) = opposite / hypotenuse
Sin(56) = altitude / hypotenuse
hypotenuse = altitude / Sin(56)
hypotenuse = 14 / sin(56)
hypotenuse = 16.887
Rounded
base = 18.89
legs = 16.89
which of the following functions are an example of exponential decay???
Answer:
C. II only
Step-by-step explanation:
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3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.
To the nearest year, when will the two accounts have the same balance?
9514 1404 393
Answer:
after 89 years
Step-by-step explanation:
For principal p, interest rate r, and number of years t, the two account balances are ...
a = p·e^(rt) . . . . continuous compounding
a = p(1+r)^t . . . . annual compounding
Using the given values, we have
3000·e^(0.07t) . . . . . compounded continuously
20000·1.05^t . . . . . . compounded annually
We want to find t so these are equal.
3000·e^(0.07t) = 20000·1.05^t
0.15e^(0.07t) = 1.05^t . . . . divide by 20,000
ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms
ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t
t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t
t ≈ 89.4 ≈ 89
The two accounts will have the same balance after 89 years.
X
( = [?]
DK
x Х
А AK
140°
B
HC
Angles are not drawn to scale
Answer:
40 degrees
Step-by-step explanation:
Supplementary angles are a pair of angles that add up to 180 degrees
Since ABD and DBC are supplementary, you can make the equation:
180=140+x
Simplify and you get x=40
[tex]\bf \large \implies \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]
[tex]\bf \large \implies \: \: x \: = \: 180 \degree - \: 140 \degree[/tex]
[tex]\bf \large \implies \: \: x \: = \: 40 \degree[/tex]
40) what is the area of a rectangular porch measuring 8 ft x 12/f
45) Create a stem and leaf plot to represent this set of data.
30, 62, 32, 63, 43, 77, 48, 78, 49, 82, 51, 84, 60,
please make sure to answer both questions
Frank can type a report in 2 hours and James takes 7 hours. How long will it take the
two of them typing together?
Answer: x = 1 hour and 33 minutes
Step-by-step explanation:
Let x = time (hours) it takes typing together
then
x(1/2 + 1/7) = 1
multiplying both sides by 14:
x(7 + 2) = 14
x(9) = 14
x = 14/9
x = 1.56 hours
or
x = 1 hour and 33 minutes
Hope tjis help you!:)
Answer: 14/9 hr
Step-by-step explanation:
If you divide Frank's ability to write 1 report by 2 hours, he could write half a report in an hour. James could write one seventh of the report in a hour after dividing his ability to write 1 report in 7 hours. Find the least common denominator between 2 and 7, which is 14 convert 1/2 to that, which would be 7/14 and 2/14. Add That together and you'd get the amount of report they can write in an hour. If you multiply this by a number equalvilent to flipping 9/14, you'd get 1. This number is 14/9 hours.
The cost of a pen is three times and Rs 4 more than the cost of a pencil. If three pencils and two pens cost Rs 71, find the cost of each item.
Answer:
1.
= Here,
cost of pen = 3+4 ( x ) = 7x
costs of two pen = 7x
cost of three pencils = 71 - 7x = 64x
cost of 1 pencil = 64/3
= 21.333334
c
Plzzzz someone help. Will mark brainiest is correct!!!!
Photo attached
Answer:
Your last step ( step 5 ) :
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{c}{a} + \frac{ {b}^{2} }{4 {a}^{2} } [/tex]
Step 6:
[tex]{ \boxed{x + ( \frac{b}{2a}) = ± \frac{ \sqrt{ {b}^{2} - 4ac } }{ \sqrt{4a^2} } }}[/tex]
Step-by-step explanation:
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{4ac}{4 {a}^{2} } + \frac{ {b}^{2} }{4 {a}^{2} } \\ \\ {x}^{2} + \frac{b}{a} x = \frac{4ac}{4a {}^{2} } \\ \\ {x} = \sqrt{ \frac{ - 4ac + b {}^{2} }{4a {}^{2} } } [/tex]
.,............. ..... ..nnkkjk
30 points PLEASE HELP!!!!
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3
Answer:
916.11 ft³
Step-by-step explanation:
(9×6)×7.83/2×13/3
= 211.41×13/3
= 916.11 ft³
Answered by GAUTHMATH
Answer:
916.11 ft³
Step-by-step explanation:
Help pls will give brainliest
Answer:
195.06
Step-by-step explanation:
area of circle = πr^2 = π8^2 = 64π
area of triangle = 1/2 x 4 x 3 = 6
area of shape = 64π-6 = 195.061929 = 195.06
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!
Answer:
so the simplest way to find the volume of water is by dividing into different....objects
so when dividing you create a rectangular box that has length of 12 width of 14.5 and height of 5 and another rectangular box with length of 7 (19-12) width of 4 and height of 5
now calculate the volume of each box and add them up
v = length x width x height
box 1 = 12 x 14.5 x 5 = 870 ft^3
box 2 = 7x4x5 = 140
now smash them up together = 870+140=1010ft^3
hope that answers your question
Find the exact value of the indicated trigonometric function for the acute angle a:
Given: sin a=5/13, Find: cos a and tan a
Answer:
cos a = 12/13
tan a = 5/12
You use these properties to solve the question,
sin²a+cos²a=1
tana=sina/cosa
Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into
Answer:
Domain is all real numbers, and range is all numbers greater than or equal to -2. If thee was anything you didn't understand let me know.
Step-by-step explanation:
The domain is what x values work, or it may be better to say the horizontal axis. is there any number you cannot use? if you cannot tell, this is a parabola, like x^2. Is there any number you cannot plug into x^2. The answer is no, the domain for all parabolic functions is all real numbers.
The range you really want to look at visually here. Range is y values you can get, or values on the vertical axis. I would also compare it to x^2 again. You should know you can make it as high as you want, here is the same. but at -2, there is no point below that. so the range is -2 and up
The other options are just specific numbers. you can disprove those by choosing a number not on their lists. For the domain literally any other number. For range any number not on the list greater than -2
A rental car company charges $29 per day to rent a car and $0.09 for every mile driven. Claire wants to rent a car, knowing that:
She plans to drive 400 miles.
She has at most $210 to spend.
Use the drop-down menu below to write an inequality representing dd, the total number of days Claire can rent the car while staying within her budget.
The required inequality that expresses the given condition is 36 + 29x ≤ 210.
Given that,
A rental car company charges $29 per day to rent a car and $0.09 for every mile driven. Claire wants to rent a car, knowing that she plans to drive 400 miles. she has at most $210 to spend.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the number of days be x,
Total cost to drive 400 miles = 400(0.09) = $36.
According to the question,
36 + 29x ≤ 210
Thus, the required inequality that expresses the given condition is 36 + 29x ≤ 210.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ5
Find the surface area of the
rectangular prism.
2 cm
6 cm
3 cm
[?] sq cm
Enter
Answer:
72 sq cm
Step-by-step explanation:
Surface area of the cuboid is 2*(lb+bh+lh)=2*(12+18+6)=2*36=72
Answer:
36 sq cm
Step-by-step explanation:
This prism is formed by rectangles, and to find the area of a rectangle you have to multiply its sides. So, to find the surface area, you find the area of each rectangle and after add it all:
3×2 = 6 sq cm, and your have two of this rectangles
6×2 = 12 sq cm, and you also have two of this
3×6 = 18 sq cm, and also have two of this
6 + 12 + 18 = 36 sq cm
Help pls ?? I really don’t know what to do
Answer:
The answer is "C" f(x)= x+ 4 and g(x)= x^3 - 1
Step-by-step explanation:
all you have to do is replace the x in "G" with the "F" function
F(x) = x+4 and G(x) = x^3-1
===========================================================
Explanation:
Let's try choice A to see if it works or not
G(x) = (x+4)^3
G( F(x) ) = ( F(x)+4 ) ^3 .... replace every x with F(x)
G( F(x) ) = ( x-1+4 ) ^3 .... plug in F(x) = x-1
G( F(x) ) = (x+3)^3
This isn't the same as (x+4)^3 - 1. You can confirm this with a graph or a table of values. We cross choice A off the list.
------------
Let's try choice B
G(x) = x+4
G( F(x) ) = F(x)+4
G( F(x) ) = x^3-1 + 4
G( F(x) ) = x^3 + 3
Similar to choice A, this isn't the same as (x+4)^3-1. We can cross this off the list as well.
--------------
Now choice C
G(x) = x^3 - 1
G( F(x) ) = ( F(x) )^3 - 1
G( F(x) ) = (x+4)^3 - 1
We found the final answer.
Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [
7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = 3t + 19
$60 is shared between Ali, Ben and Carol in the ratio of 5 :3 : Z How much does Ben get?
Answer:
the answer is 100:60:40 hope it helps
pls helppppppp it’s due in 20 minutes
Answer:
hope this helps you
havea great dayy
Answer:
39
Step-by-step explanation:
3(6m-17)
3(30-17)
3(13)
39
You are driving 2760 miles across the country. During the first 3 days of your trip, you drive 1380 miles. If you continue to drive at the same rate each day, how many days will the entire trip take? Show your work and circle your answer.
The entire trip will take 6 days.
(Encircle this answer, as said on the directions)
Step-by-step explanation:
We know that the first three days of the trip, we traveled 1380 miles.
Find the UNIT RATE of MILES PER day:
1380/3 = 460
Unit rate = 460 miles per day
If we were to drive at this (460 mi per day) rate EACH day and the whole journey takes 2760 miles across the country.
FInd the NUMBER of DAYS of the ENTIRE TRIP:
2760/460 = 6
It will take us 6 days to drive to the destination.
Taehyung was sitting on the ground flying a kite. He had 22 feet of line let out to fly his kite, and the kite was 14 feet in front of him. How high was the kite?
30^∘ Another boy is standing on the roof of a 10 second string be x mIn Δ ABC sin 30^∘ = AC/AB 1/2 = AC/100 AC =
Answer: hope this helps ♡
The kite was 16.9 feet high.
Step-by-step explanation:
Pythagorean theorem
b = [tex]\sqrt{c^{2} - a^{2} }[/tex]
b = [tex]\sqrt{22^{2} - 14^{2} }[/tex]
b = [tex]\sqrt{484 - 196}[/tex]
b = [tex]\sqrt{288}[/tex]
b = 16.9
[tex]\frac{\sqrt{x} +1}{x-\sqrt{x} +1}[/tex] Với x≥0. Tìm GTLN
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]
please help me is for my homework
Answer:
50%
Step-by-step explanation:
so 1 half is colored in so 1/2 is also 50%
Answer:
it's 50% because it's half the circle
Write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator
Answer:
3:8
Step-by-step explanation:
1.2 to 3.2 is 12:32 or 3:8
Answer:
3/8
Step-by-step explanation:
1.20/3.20
= 12/32
= 3/8 (divide top and bottom by 4)
I hope this helped! :D
please help me solve this exercise.!!
find the value of tanx if sinx+cosx=1/5 and 0<x<π.
=============================================================
Explanation:
Let's square both sides and do a bit of algebra to get the following.
[tex]\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\[/tex]
Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25
This then means tan(2x) = sin(2x)/cos(2x) = 24/7.
From here, you'll use this trig identity
[tex]\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\[/tex]
which is the same as solving
[tex]\tan(2x) = \frac{2w}{1-w^2}\\\\[/tex]
where w = tan(x)
Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4
So either tan(x) = -4/3 or tan(x) = 3/4.
If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.
Since tan(x) < 0 in this case, we go for tan(x) = -4/3