Answer:
$9.44
Step-by-step explanation:
51.45 x 0.18 = $9.44
Carter is an election officer. On election day, he travels from his home to the polling place, which appears 8 inches away on a map of the county. What is the actual distance between Carter's home and the polling place if the scale of the map is 2 inches = 0.9 miles?
Answer:
3.6 miles
Step-by-step explanation:
since his house is 8 inches away and 2 inches =0.9miles
we just need to multiply. Divide 8 by 2 .
4× 9 = 36 so just add the decimal
0.9× 4= 3.6 miles
Describe the region enclosed by the circle x^2 +y^2 = 11x in polar coordinates.
Answer:
the region of the circle in polar coordinate can be expressed as:
[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]
Step-by-step explanation:
Given that:
[tex]x^2 +y^2 = 11x[/tex]
This implies that :
[tex](x-5.5)^2 + y^2 = 5.5^2[/tex]
center (5.5, 0) and radius = 5.5
The relation between the cartesian coordinates (x,y) and the polar coordinates (r, θ) is as follows:
x = rcosθ
y = rsinθ
Thus, [tex]x^2 + y^2 = r^2[/tex]
[tex]x^2 + y^2 = 11x[/tex]
[tex](rcos \theta)^2 + (r sin \theta)^2 = 11(rcos \theta)[/tex]
[tex]r^2 = 11r cos \theta[/tex]
Thus, the angle θ runs between [tex]- \dfrac{\pi}{2}[/tex] to [tex]\dfrac{\pi}{2}[/tex]
Therefore, the region of the circle in polar coordinate can be expressed as:
[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]
The required region is,
[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]
Given circle is,
[tex]x^2 +y^2 = 11x[/tex]
Computation:
Solving the given circle,
[tex]x^2-11x+y^2=0\\x^2-2(\frac{11x}{2})+y^2=0[/tex]
Adding [tex]\frac{11}{2}[/tex] both sides we get,
[tex]x^2-2(\frac{11x}{2})+\frac{121}{4}+y^2=\frac{121}{4}\\(x-\frac{11}{2})^2+y^2=(\frac{11}{2})^2[/tex]
It represents a circle having the radius [tex]\frac{11}{2}[/tex] and centred at [tex](\frac{11}{2},0)[/tex]
So, in polar coordinate,
[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]
Learn More:https://brainly.com/question/12482360
At 7 a.m., the temperature was 48°F. By noon the temperature was 63°F. By how many degrees did the temperature increase?
Answer: 15 degrees
Step-by-step explanation:
Calculate the average speed between 0 s and 20 s
Answer:
2 m/s
Step-by-step explanation:
Notice that the slope of the time period from 0s to 20s is linear. This means we can simply look at the distance traveled over the amount of time. So the distance and time both start at 0. At 20s, the distance is 40m.
So we can say the following to find the slope:
(40m - 0m) / (20s - 0s) == 40m / 20s == 2 m/s
Hence, the average speed between 0s and 20s is 2m/s.
Cheers
leave answers as simplified radicals
Answer:
1
Step-by-step explanation:
[tex]\frac{\sqrt{48} }{4\sqrt{3} }=\frac{\sqrt{16} }{4}=\frac{4}{4}=\frac{1}{1}=1[/tex]
Rewrite the expression 10 to the -3 power
Answer: 0.001 or 1/1000
Since it is a negative exponent and -3 so it is in the thousandths, so 1/1000 or 0.001.
Have a good day! : )
When rounding to the nearest ten, what is is the least whole number that roundd to 840
Answer:
835
5 and up is rounded higher.
-4x+7=11 HELPP! pleaseeee
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]-4x+7=11[/tex]
Subtract 7 from both sides:
[tex]-4x+7-7=11-7[/tex]
[tex]-4x=4[/tex]
Divide both sides by -4:
[tex]\frac{-4x}{-4}=\frac{4}{-4}[/tex]
[tex]x=-1[/tex]
One-Half of a number increased by 6 is less than 34
Answer: ½ x + 6 < 34 ; x < 56
Step-by-step explanation:
Subtract 6 on both sides. ½ x < 28.Divide ½ on both sides. x < 56.48 books on 6 shelves. How many books on 12 shelves?
Answer:
96 books
Step-by-step explanation:
because when you have 48 books on 6 shelves it is 8 books per shelf so it is 96 because 12 times 8 equals 96
Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175.
75 + ?m = 175
What number should he use as the coefficient of m?
50
75
125
175
Answer:
50
Step-by-step explanation:
The coefficient is amount of money in m (months)
The 50 is the amount of money
They are depositing $50 per month, 50m
Therefore, the coefficient is 50.
Answer:
50
Step-by-step explanation:
Need help right now before 12.00
Answer:
23) 7b+14
yea I guess the rest remain the same
which is right??????
Answer:
the distance from a to c is 10
Step-by-step explanation:
this is because the line in the middle divides the angle into equal sizes what the marks mean on it
Answer:
the distance from A to C is 10units
Step-by-step explanation:
A to B and A to C share the same distance
Plisss some one can help me!!!
A project manager estimates that a project will take
x hours to complete, where x > 100. The goal is for
the estimate to be within 10 hours of the time it will
actually take to complete the project. If the manager
meets the goal and it takes y hours to complete the
project, which of the following inequalities
represents the relationship
between the estimated
time and the actual completion time?
Answer:
x ≥ x/y
Step-by-step explanation:
It somehow varies with variation.
PLZZZZ HELP WILL GIVE BRAINLIST
Answer:
Step-by-step explanation:
Unlikeley: 0.6
likely: 0.35
Impossible: 0
Certain: 0.5
Equally: 0.9
unlikely: 1
Hope This Helps! :)
helpooo pleaseeee and thank youu
K is the midpt. of AB.
Its in the middle of AB so its the midpt.
what is
(-1/3)+1/4+(-1/5)
Answer:
-17/60
Step-by-step explanation:
(-1/3)+1/4+(-1/5)
solve the inequality 5f+7[tex]\leq[/tex]22
a f[tex]\geq[/tex]6
b f[tex]\leq[/tex]3
c f[tex]\leq[/tex]10
d f[tex]\geq[/tex]15
Answer:
[tex]f \leqslant 3[/tex]
Step-by-step explanation:
[tex]5f + 7 \leqslant 22 \\ 5f \leqslant 15 \\ f \leqslant 3[/tex]
Inequalities (Please help!)
Answer:
x < x and -3x < -3x
Step-by-step explanation:
x cannot be less than itself so there would be no solution.
Find the values of x is 1/x + 1/x+2 undefined?
Answer: if x = O in the denominator of the first term or if x = -2 in the second term, the results are undefined.
Step-by-step explanation: If the denominator of a fraction is 0 there is no number that solves it because it is impossible to divide by zero.
Use the points H(-4,3) and K (4,3)
Gerry had a coupon for $0.25 off a
frozen pizza. The grocery store
has a special triple coupon deal
and allows customers to use a
single coupon on up to five
items. By how much would his
total grocery bill change if Gerry used the coupon to buy five frozen
pizzas?
Multiply.
0.25 * 5 = $1.25 in savings
So whatever the original price was for each frozen pizza, you multiply that by 5 and subtract that by the total savings.
Best of Luck!
Answer:
1.25
Step-by-step explanation:
0.25*5
-6n-32m+5n
Need help please
Answer:
Add
−
6 n and 5n.− 32m − n
Step-by-step explanation:
h e l p !!
is this table a linear function?
Answer:
Yes
Step-by-step explanation:
At the city museum, child admission is $5.20 and adult admission is $9.20. On Friday, 157 tickets were sold for a total sales of $1068.40. How many adult tickets were sold that day?
simplify the following equation: (5 + 3)²
Answer:
64
Step-by-step explanation:
5+3=8
8*8=64
Answer:
the answer is 64
Step-by-step explanation:
Someone help me pliisss
Answer:
The prove of the given identity is shown below:
Step-by-step explanation:
It seems that the question involves the proving of a trigonometric identity.
Therefore, we are going to work independently on each side of the equal sign.
We start by considering [tex]cos(\alpha)=cos(\frac{\alpha}{2} +\frac{\alpha}{2})[/tex] since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles: [tex]cos (\frac{\alpha}{2} +\frac{\alpha}{2})=cos(\frac{\alpha}{2})*cos(\frac{\alpha}{2})-sin(\frac{\alpha}{2})*sin(\frac{\alpha}{2})= cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})[/tex]
and now we use the Pythagorean identity to replace the cosine square expression:
[tex]cos^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})[/tex]
in the difference of square trig functions we had arrived to:
[tex]cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})--sin^2(\frac{\alpha}{2})=1-2\,sin^2(\frac{\alpha}{2})[/tex]
We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.
Yesterday, between noon and midnight, the temperature decreased by 27.2°F. If the temperature was -8.6°F at midnight, what was it at noon? *
Find B on AC such that the ratio of AB to BC is 3:2. A (4, 2) and C (-6, - 13).
Answer:
B(-2, -7)
Step-by-step explanation:
The ratio requirement means ...
(B-A)/(C-B) = 3/2
2(B-A) = 3(C-B) . . . . cross multiply
2B -2A = 3C -3B . . . eliminate parentheses
5B = 2A +3C . . . . . . add 3B+2A
B = (2A +3C)/5 . . . . divide by 5
Now that we have a formula for B, we can fill in the given point values:
B = (2(4, 2) +3(-6, -13))/5 = (8-18, 4-39)/5 = (-10, -35)/5 = (-2, -7)
The coordinates of B are (-2, -7).
plz help i need to rase my grade
The average of anything is calculated by adding up all the terms in the data set and dividing by the amount of terms in the data set.
In this problem,
The average = $1000
the amount of terms = 3
x = the amount earned Sunday
($1073 + $1108 + x) / 3 = $1000
First, multiply both sides by 3
$1073 + $1108 + x = $3000
Add together like terms
$2181 + x = $3000
Subtract $2181 from both sides.
x = $819
The restaurant needs to earn $819 on Sunday to have an average of $1000