Answer:
D
Step-by-step explanation:
Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.
To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.
Keep in mind that these points are only roughly placed on the map.
But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.
To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.
47 - 35 = 12
To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.
122 - 78 = 44
I assume that the answer you should pick is D. (12, 44)
However, that doesn't exactly answer the question... it's worded a little weirdly.
To solve the rest of the equation, do the following:
Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.
a^2 + b^2 = c^2
12^2 + 44^2 = c^2
144 + 1936 = c^2
2080 = c^2
c = [tex]\sqrt{2080}[/tex]
c = 45.61
The answer is 45.61 units.
If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36
18
9
64
Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = [tex]\frac{-36z}{x}[/tex] ← equation of variation
When x = 5 and z = - 5, then
y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36
2 cups of coffee and 3 cops of tea cost £10.10
Three cups of coffee and 3 cups of tea cost £15.10 work out how much one cup of coffee is and one cup of tea is
Answer:
Fard
Step-by-step explanation:
Hehe funi
two cords.
AD=92 and BC=140
What does m
shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on saturday he earned at least $160 in all.Write an inequality and find the minimum number of hours to the nearest hour
Answer:
Write the equation of each inequality. 5. 6 ... What are the smallest values of consecutive integers that will make this true. ... Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He needs to earn $160 in all. To the nearest hour, what is the least number of hours Stan.
Step-by-step explanation:
Inequalities Exit Ticket Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, ... additional $100 in tips waiting tables on Saturday He earned at least $160 in all
The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.
Given that, Shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday he earned at least $160 in all.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let the number of hours be x.
Now, 7.55x+100≥160
Subtract 100 on both the sides of inequality, that is
7.55x+100-100≥160-100
⇒ 7.55x≥60
Divide 7.55 on both the sides of inequality, that is
7.55x/7.55 ≥ 60/7.55
⇒ x ≥ 7.94
7.94≈8
The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.
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please help me didn’t show up
Answer:
Step-by-step explanation:
Answer:
is this the full question?
Step-by-step explanation:
A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.
PLS help me I'm DESPERATE
its 100 points so it will be worth it
Answer:
23 gallonsStep-by-step explanation:
The area of the 4 exterior walls:
A = 2(38 + 84)*20 = 4880 ft²The area of the 2 triangular faces:
A = 2*1/2*38*12 = 456 ft²Total area to be painted:
4880 + 456 = 5336 ft²Paint required:
5336 / 232 = 23 gallonsA landing pad for a helicopter is in the shape of a circle with a radius of
7 meters. Which of the following is
closest to the area of the landing pad?
A. 44 square meters
B. 154 square meters
C. 205 square meters
D. 308 square meters
PLEASE NO LINKS!
Answer:
154 m^2
Step-by-step explanation:
Area of a circle: A = (pi)(radius)^2
Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2
please help
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The function m is given in three equivalent forms. Which form most quickly reveals the vertex
Answer:
m (x) = -2(x-6)^2 +18
Step-by-step explanation:
Solve this equation
√x - 7= √x - 7
Answer:
Search on mathaway
Step-by-step explanation:
Javier researched how much his baseball team made in concession stand sales during the last 6 games.
$84, $70, $82, $28, $72, $84
Part A:
Calculate the measure of center--the median and the mean of the data Javier gathered.
Part B:
Using the calculations you made in Part A, explain which measure would be more representative of Javier's data.
B
The calculations you make in Part A ,  which measure would be more Representative of Javier's data
What goes in the highlighted box?
Answer:
it's yes
Step-by-step explanation:
hope it help
follow me plsss
-3|-6+7|=
Can someone help me with that pls?
Answer:
the answer is -3
Step-by-step explanation:
La suma de tres ángulos iguales es igual a 254° 25´ 54” ¿Cuánto mide cada uno de ellos?
La suma de dos ángulos es igual a 76° 35´. Si uno de ellos mide 27° 43´36”. ¿Cuánto mide el otro?
Porfa y gracias
Answer:
ugxitskydkydmyydktdlydoyzlyzittxltzljxkg
Factor the following trinomial:
Answer:
D
Step-by-step explanation:
Given
n² - n - 42
Consider the factors of the constant term (- 42) which sum to give the coefficient of the n- term (- 1)
The factors are - 7 and + 6 , since
- 7 × + 6 = - 42 and - 7 + 6 = - 1 , then
n² - n - 42 = (n - 7)(n + 6) ← in factored form
Solution :-
Given,
n^2 - n - 42We need to factorise it.
So let's start !!
Two factors are -7 and 6.
Therefore,
n^2 - 7n + 6n - 42 n (n - 7) + 6 (n - 7) (n - 7) (n + 6)Enter the coordinates of the point
on the unit circle at the given angle.
270°
Answer: 0,-1
Step-by-step explanation:
Find a third-degree polynomial equation with rational coefficients that has roots 4 and 6 + i.
a. x^3 - 8x^2 - 11x + 148 = 0
b. x^3 - 8x^2 - 12x + 37 = 0
c. x^3 - 12x^2 + 37x = 0
d. x^3 - 8x^2 - 11x = 0
Answer:
I would say A.
Step-by-step explanation:
Pls help. Due in 5 mintues pls.
Find x and the size of each angle
in this triangle.
6x + 20
4.2
80 - 2.0
Answer:
6x + 20 + 4x + 80 - 2x=180
6x + 4x - 2x= 180 - 80 - 20
8x = 80
x = 10
The value of x in the triangle is 10, the value of each angle are; 80, 40 , 60 respectively
How can the value of x be gotten?The total angle can be added as
note that the total angle in the triangle is 180
[tex]6x + 20 + 4x + 80 - 2x=180[/tex]
[tex]6x + 4x - 2x= 180 - 80 - 20[/tex]
[tex]8x = 80x = 10[/tex]
Then we can know the angles as ;
[tex]6x + 20=(6*10) +20 =80\\4x = 4*10 = 40\\80 - 2x = 80 - (2*10) = 60[/tex]
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Flora drew the following graph to answer the question. What was her mistake when she drew her graph? (NO LINKS)
Answer:
Her elevation went down too quickly, if she is going down 300 ft per hour at a constant rate, at 1 hour, she should be at 2700 feet. It should take her about 10 hours to get down the mountain.
solve for x
20
33
14
Step-by-step explanation:
by basic proportionality therom
x/33=14/20
20×x=14×33
20x=462
x=462/20
x=23.1
The value of x from the triangle is x = 22.1
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the triangle be ABC and ADE
The triangles ΔABC ≅ ΔADE
Now , Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
So , the ratio of the sides will be
AD / AB = AE / AC
Substituting the values in the equation , we get
14 / 20 = x / 33
Multiply by 33 on both sides of the equation , we get
The value of x = ( 14 x 33 ) / 20
The value of x = 462 / 20
The value of x = 23.1
Therefore , the value of x is 23.1
Hence , The value of x from the triangle is x = 22.1
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Identify fractions greater than 3/5
REPOST, SOMEONE PLEASE HELP I DONT WANT TO KEEP WASTING ALL MY POINTS ON 1 QUESTION!!!!!!!
Answer:
:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
(x+13)²+(y-9)²=36you can write this equation too
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
(x-1)²+(y+1)²=121
you can write this equation too
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
3.
centre (h,k)=(3,1)
radius (r)=4units.
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-3)²+(y-1)²=4²
(x-3)²+(y-1)²=16 is a required equation.
4.
centre(h,k)=(4,-2)
radius (r)=3
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-4)²+(y+2)²=3²
(x-4)²+(y+2)²=9
you can write this equation
Expand the following 4(2x-5)
Answer:
y=4(2x-5)
Step-by-step explanation:
that's the expanded form.
It is customary to leave a 15% tip for a waiter/waitress. Suppose your meal costs $22.50, What would you tip the wait person? How much totalwould you pay for the meal?
Answer:
$25.88
Step-by-step explanation:
Given data
Cost of meal= $22.50
Tip= 15%
Let us find 15% of $22.50
=15/100*22.50
=0.15*22.50
=3.375
Hence the amount you would pay in total is
=3.375+22.5
=$25.88
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
hhh
Step-by-step explanation:
The relationship between the number of pounds (lb) of trail mix and the price
in dollars is shown in the graph. What is the unit price of trail mix?
A. 1 lb/$8
B. $8/1 lb
C. $1/8 lb
D. $16/2 lb
pls answer quickly since this is a quiz :)) picture included above
What single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?
no files plssssssss!
Answer:
Your answer is the first option, (2,-1).
Step-by-step explanation:
All you have to do is plug the (x,y) values into both equations, then solve and see if they're true.
For the first equation, plug x (aka 2) and y (aka -1) into the places they belong.
2x + y = 3 would become 2(2) + (-1) = 3 after putting the values in the right spots.
Solve.
2(2) = 4.
4 + (-1) = 3
3 = 3.
That means that (2,-1) is the solution for the first equation, however it also needs to be true for the second. Do the same thing and plug the values in their designated spots.
y = x - 3 will become -1 = 2 - 3.
2 - 3 = -1.
So you're left with:
-1 = -1, which means again that (2,-1) is also the solution for that equation.
__________________________________________________________
If you have any questions about any of the process here, ask in the comments of this response and I'll help you out.
Cookies cost $3.50 per package. How many packages of cookies can Gail buy if she has \$42 .00? Write an equation and solve.
Answer:
Solve: 12 packagesEquation: n = $42.00¢Step-by-step explanation:
Given
1 package = $3.50¢
∴, ? package = 42.00¢
Equation
Identify the variable. Let n be the variables, then, the equation is: n=$42.00¢
Solve
Since 1 is 3.50
To find 42.00
Divide 42.00 by 3.50
42.00 ÷ 3.50 = 12
Therefore, Gail can buy 12 packages with $42.00¢