Answer:
distance between two cars in a straight line = 4.12 miles
Step-by-step explanation:
The North and East make a right angle and if you make a straight line between the two cars you will make a right angled triangle.
Now we can use Pythagoras theorem to calculate the distance between two cars in a straight line.
p = 1
b = 4
h = ?
Using Pythagoras theorem
h² = p² + b²
h² = 1² + 4²
h² = 1 + 16
h² = 17
h = sqroot (17)
h = 4.12 miles
The distance between two cars is 4.12 miles.
Given that, two cars leave the same parking lot, with one heading north and the other heading east.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
The northbound car has traveled 1 mile = x=1 mile
The eastbound car has traveled 4 miles =y=4 mile
Let the distance between two cars be z
Using Pythagoras theorem, we get
z²=x²+y²
⇒ z²=1²+4²
⇒ z²=17
⇒ z=√17
⇒ z=4.12 miles
Therefore, the distance between two cars is 4.12 miles.
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Line P is parallel Ito Line Q. Find the measure of angle 7 if the measure of angle 2 = 75.
(Last Question)
Adrianna has a garden where she measured the height of a sunflower plant. on the first day it was 1.25 m tall, after 2 weeks it grew by 0.32 m
WHAT IS THE HEIGHT OF THE SUNFLOWER PLANT?
pls answer will give brainlist
Answer:
The height of the sunflower plant is 1.57 meters.
Step-by-step explanation:
Initially, the height of the sunflower plant was of 1.25 m.
Then, it grew by 0.32 m, that is, we have to add 0.32 m to the height.
Sum of decimals:
Dot below dot, add normally. So
1.25
+0.32
---------
1.57
So
The height of the sunflower plant is 1.57 meters.
125^2x = 5^4x-4 solve for x
Answer:
x=-2
Step-by-step explanation:
[tex]125^{2x}=5^{4x-4}\\(5^3)^{2x}=5^{4x-4}\\5^{6x}=5^{4x-4}\\6x=4x-4\\6x-4x=-4\\2x=-4\\x=\frac{-4}{2}=-2[/tex]
After 4 years you have 5300 what is the initial deposit if the account pays 2.5% annual interest compounded continuously
Answer:
Initial deposit P = 4,801 (Approx.)
Step-by-step explanation:
Given:
Amount after 4 year = 5,300
Number of year = 4 year
Rate = 2.5% = 0.025
Find:
Initial deposit
Computation:
A = P[1+r]ⁿ
5,300 = P[1+0.025]⁴
5,300 = P[1.025]⁴
5,300 = P[1.1038]
Initial deposit P = 4,801 (Approx.)
0.54 litres in cm ³
Answer:
540 cubic centimeters
Step-by-step explanation:
just move 0 on the other side
Hey there!
0.54 liters to ________ cm³
= 0.54 * 1,000
= 540
Therefore, your answer should be: 540 cm³
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
what is the product of 5x2 and(2×2)
Answer:
5 x 2 = 10 2 x 2 = 4
Step-by-step explanation:
5 twice is 10
2 twice is 4
Simplify to create an equivalent expression. 7(2 + 2x) + (x + 2) x 6 =
Answer:
20x + 26
Step-by-step explanation:
Rewrite the equation to make distributing easier:
7(2 + 2x) + (x + 2) x 6
7(2 + 2x) + 6(x + 2)
Distribute the 7 and 6 to each set of parentheses:
14 + 14x + 6x + 12
Add like terms:
20x + 26
So, the equivalent expression is 20x + 26
!!!!!!!!!!!!!!!!!!!nossa
what is h−(−2.22)=−7.851 someone please help me
Answer:
h=-10.071?
Step-by-step explanation:
a metal rod will be cut into pieces that are each 1/48 meters long. The rod is 3/8 meters long. How many pieces will be made from the rod?
Answer:
18 pieces
Step-by-step explanation:
3/8 ÷ 1/48 = 18
find the value of x help plz I’ll mark brainiest
Answer:
x = 22
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
helpppppppppppppppppppp me
Answer:
6x5=30
Step-by-step explanation:
30÷5=6
n=6
6×5=30
What is the perimeter of the rectangle in the coordinate plane? y 36 units 15 147 38 units 13+ 12+ 65 units 117 O 70 units
Answer:
38 units
Step-by-step explanation:
14 * 2 = 28
5 * 2 = 10
28 + 10 = 38
Mark me as brainliest, I am trying to level up.
PRETTY PLEASE HELP ME! this is 4 a test and i’m rlly struggling :/
Which simplified fraction is equivalent of 0.56. ?
Answer:
56/100
by simplifying, 14/25
Step-by-step explanation:
Hope it helps you
55% of the undergraduates or female. If 2695 women attend the college how many total undergraduates attend the college
Answer:
Step-by-step explanation:
2695f(100/55f)=4900 undergraduates.
Is x+y is an algebraic expression?
Find the 89th term of the arithmetic sequence 25, 35, 45, ...
Answer:
905
Step-by-step explanation:
arithmetic sequence are in form
a(n)=a(0)+d(n-1)
a(0)=25
common difference: d=35-25=10
a(n)=25+10(n-1)
a(89)=25+10(88)=905
9. Solve for the variable in 6/18=x/36
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
How to find the following slope-intercept form?
Y-3=7/9(x-4)
Answer:
[tex]y = \frac {7}{9} \times - \frac{1}{9} [/tex]
cuanto costara una sala que se anuncia en $7500, con el 30% de descuento mas 16% de IVA
Answer:
30 por ciento:2250
16 por ciento:1200
Step-by-step explanation:
Benin is sawing board to make a deck. What is the area of the deck?
Answer:
C. 108.5 square feet
Step-by-step explanation:
Area of a rectangle: length x width
Area of a triangle: (base x height)/2
First find the rectangle's area:
10ft x 7 ft
70ft^2
Find the right side triangle's area:
(7ft x 5ft)/2
35ft^2/2
17.5ft^2
Now find the left side triangle's area:
There is no base number included, but the other triangle has a base of 7ft. Considering the triangle is attached to a rectangle's side, we can conclude this triangle will have the same base because a rectangle's parallel side will always equal each other
(7ft x 6ft)/2
42ft^2/2
21ft^2
Finally, add all of these areas together
70ft^2 + 17.5ft^2 + 21ft^2
87.5ft^2 + 21ft^2
108.5ft^2
The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.
a.Construct a 90% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.
b.
Construct a 95% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.
c. Construct a 99% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation
Solution :
a). Given :
a = [tex]$0.1$[/tex],
chisquare with the [tex]$0.05$[/tex],
[tex]$df=11$[/tex] is [tex]$4.57$[/tex] (from the chisquare table)
Chisquare with the [tex]$0.95$[/tex], df = [tex]$11$[/tex] is [tex]$19.68$[/tex] (from chisquare table)
So 90% Cl is
[tex]$\left(\frac{v(n-1)\times s}{v19.68}, \frac{v(n-1)\times s}{v4.57}\right)$[/tex]
[tex]$=\frac{\sqrt{11}\times 147.928}{\sqrt{19.68}},\frac{\sqrt{11}\times 147.928}{\sqrt{4.57}}$[/tex]
[tex]$=(110.5947,229.5031)$[/tex]
b). Given :
a = [tex]$0.05$[/tex]
Chisquare with [tex]$0.025$[/tex]
df = [tex]$n-1=11$[/tex] is A, [tex]$3.82$[/tex]
Chisquare with [tex]$0.975$[/tex], df = 11 is [tex]$21.92$[/tex]
So, 95% Cl is
[tex]$\left(\frac{v(n-1)\times s}{v21.92}, \frac{v(n-1)\times s}{v3.82}\right)$[/tex]
[tex]$=\frac{\sqrt{11}\times 147.928}{\sqrt{21.92}},\frac{\sqrt{11}\times 147.928}{\sqrt{3.82}}$[/tex]
[tex]$=(104.7916,251.0239)$[/tex]
c). Given a = [tex]$0.01$[/tex], chisquare with [tex]$0.005$[/tex], df = [tex]$11$[/tex] is [tex]$2.6$[/tex]
Chisquare with [tex]$0.995$[/tex], df = [tex]$11$[/tex] is [tex]$26.76$[/tex]
So 99% CI is
[tex]$\left(\frac{v(n-1)\times s}{v26.76}, \frac{v(n-1)\times s}{v2.6}\right)$[/tex]
[tex]$=\frac{\sqrt{11}\times 147.928}{\sqrt{26.76}},\frac{\sqrt{11}\times 147.928}{\sqrt{2.6}}$[/tex]
[tex]$=(94.84265,304.2706)$[/tex]
Find the volume of the figure shown and type your results in the empty box
On what day of the year 2009 was the year 250 000 minutes old? Give the month and day?
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
22nd Junethanks hope it helpsThe day that would be 250, 000 minutes old for the year 2009 would be:
22nd June
Find the day of the yearGiven that,
No. of Minutes [tex]= 250, 000[/tex] minutes
We know that,
No. of minutes in an hour [tex]= 60[/tex] minutes
No. of hours in a day [tex]= 24[/tex] hours
So,
The number of minutes in a day [tex]= 24[/tex] × [tex]60[/tex]
[tex]= 1440[/tex] days
Now,
The number of days in 250, 000 minutes [tex]= 250,000/1440[/tex]
[tex]= 173.61[/tex] days
Beginning from January 1,
31(January) + 28(February) + 31(March) + 30(April) + 31(May) + 22(June)
= 173
∵ 22nd June as it's not a leap year.
Thus, the above response is correct.
Learn more about "Calendar" here:
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Which fraction is equivalent to the whole number 8?
Answer:
16/2, 32/4, 64/8 ...
Step-by-step explanation:
There are multiple fractions that equal 8
Guys I need help plz! ( it would mean a lot if u help )
Answer:
━☆ﾟ.*･｡ﾟX>6
Step-by-step explanation:
Here,X is greater than 6
Answer:
x > 6
Hope this helped <3
Steve already has 5 flowers in his garden, and he can also grow 1 flower with every seed packet he uses. Write an equation that shows the relationship between the number of seed packets x and the total number of flowers y.
Answer:
y = x + 5
Step-by-step explanation:
Using the information provided we can create the following equation. Since every seed packet can grow 1 single flower we would need to multiply 1 by the number of seed packets (x), which simplified would be just x . Next we are told that Steve already has 5 flowers in his possession meaning we need to add this to the new flowers that he is growing to get the total number of flowers.
y = x + 5
Choose which scenario could be represented by the expression $14.99%
a) The cost if you purchase 14 t-shirts at a cost of x dollars each
b) The cost if you purchase x t-shirts at a cost of $14.99 each
C) The sum of 14.99 and x
d) T difference between 14.99 and x
The population of a city has decreased by 33% since it was last measured. If the current population is 13,400, what was the previous population?
0
Х
?
Continue
Answer:
1940.3
Step-by-step explanation:
The current population value is 13,400
Let the previous population be represented by y
The population of the city decreased by 33
Therefore the previous population can be calculated as follows
13400= y(100-33)/100
13400=( y×67)/100
13400= 100× 13400/67
= 100× 19.402
= 1,940.3
Hence the previous population is 1,940.3
1. What is a solution to this inequality?x + 5 s 13 * O 8 O9 O 11 O 12