Answers
since it is closer to nine, the answer would be nine.
In the negative section I think it is -10. It is close.
Hope this helped :D
Related Questions
Distance between the points
Answers
[tex]a^2+b^2=c^2[/tex], where a and b are the lengths of the legs, and c is the length of the hypotenuse. In the context of the x-y plane, the legs of the triangle correspond to separate x and y values on the plane, and the hypotenuse corresponds to a straight line between two points on that plane.
To find the distance between the points you've listed, (2√5,4) and (1,2√3), we'll first need to find the "legs" of the triangle. To find the length of the x leg, we'll just need the distance between the x values of the points, which we find to be 2√5-1. We do the same for the y component, which ends up being 4-2√3. Now that we have our legs, we're ready to find the hypotenuse - or the distance.
Going back to Pythagorus's equation, we have:
[tex](2 \sqrt{5}-1)^{2}+(4-2 \sqrt{3})^{2}=d^2 [/tex]
where d, the hypotenuse of the triangle, means "distance."
To solve for d, we take the square root of both sides:
[tex]d= \sqrt{(2 \sqrt{5}-1)^2+(4-2 \sqrt{3} )^2} [/tex]
And from there, all that's left to do is solve the right side of the equation, which just ends up being rote calculation.
Edit: I'll go through the steps of that calculation here. We'll start by expanding each of the squared terms inside the radical:
[tex](2 \sqrt{5}-1)^2=(2 \sqrt{5}-1)(2 \sqrt{5}-1)=(2 \sqrt{5}-1)2 \sqrt{5}-(2 \sqrt{5}-1)[/tex]
[tex]=(2 \sqrt{5})^2-2 \sqrt{5}-2 \sqrt{5}+1=20-4\sqrt{5}+1[/tex]
[tex](4-2\sqrt{3})^2=(4-2\sqrt{3})(4-2\sqrt{3})=(4-2\sqrt{3})4-(4-2\sqrt{3})2\sqrt{3}[/tex]
[tex]=16-8\sqrt{3}-8\sqrt{3}+(2\sqrt{3})^2=16-16\sqrt{3}+12[/tex]
Putting those values back under the radical:
[tex] \sqrt{20-4\sqrt{5}+1+16-16\sqrt{3}+12} [/tex]
Collecting constants:
[tex] \sqrt{49-4\sqrt{5}-16\sqrt{3}} [/tex]
If you wanted an exact answer, this messy-looking thing would be it, and you can verify those results on WolframAlpha if you'd like. If you want an approximation, just enter that expression in to the online calculator of your choice, and it should give out the value of approx. 3.51325.
In general, if you want to solve for the distance between two points [tex](y_{1},x_{1}) [/tex] and [tex] (y_{2},x_{2}) [/tex], the formula is:
[tex]d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} [/tex]
Maria has 5 6/7 square yards of fabric. She uses 2 2/3 square yards fo fabric to make a dress. Does she have enough fabric left over to make a shawl that takes 2 1/4 square yards of fabric?
Answers
5 - 2 = 3
6/7 - 2/3 = 18/21 - 14/21 = 4/21
3 + 4/21 = 3 4/21
so she has 3 4/21 yds left over....so yes, she has enough to make the shawl that takes 2 1/4 yds
PLEASE HELP ANSWER WITH ALL STEPS PLS
NUMBER 3 WILL BE A PICTURE
QUESTION 4
Solve for n.
–2.34n = –12.168
n = 5.2
n = 9.828
n = –5.2
n = –9.828
QUESTION 5
Use a transformation to solve the equation.
–8c = 56
c = –48
c = 7
c = –7
c = 48
Answers
Question 4:
-2.34n = -12.168
Divide both sides by -2.34;
n = 5.2 is your answer to #4 (Answer choice "C.)"
For Question 5:
-8c = 56
Divide both sides by -8 to solve for c;
c = -7 (remember your signs!) is your answer for #5 (Answer choice "C.)"
[tex] \frac{n}{-12.168} [/tex] = -2; To solve for this, we need to multiply both sides by -12.168 to isolate and solve for our variable.
[tex] \frac{n}{-12.168} [/tex] = -2; Multiply by -12.168
n = 24.336 (A negative multiplied by a negative results in a positive product.);
Your answer for #3 is n = 24.336 (Answer choice "B.)")
I hope this helps!
3.) n = 24.336
4.) n = 5.2
5.) c = – 7
Explanations:
Which expression results on a rational number?
Answers
The population of a town decreased from 15,925 people to 8759 people. What was the approximate percent decrease?
Answers
% change = 15925 / (15925 + 8759)
Simplify: % change = 15925 / 24684 = 0.645 = 64.5% which is 65% rounded.
Solve the inequality.Explain all steps and Identify the properties used. n/-3 + 5>4
Answers
then you can just times by -3 to get n on it's own
n>-3(4-5)
n>-3*-1
n>3
[tex]\frac{n}{-3}+5 \ \textgreater \ \mathrm{Apply\:the\:fraction\:rule}:\ \frac{a}{-b}=-\frac{a}{b} \ \textgreater \ -\frac{n}{3}+5 \ \textgreater \ \frac{n}{3}+5\ \textgreater \ 4[/tex]
[tex]\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides} \ \textgreater \ -\frac{n}{3}+5-5\ \textgreater \ 4-5 \ \textgreater \ \ \textgreater \ -\frac{n}{3}\ \textgreater \ -1[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \ 3\left(-\frac{n}{3}\right)\ \textgreater \ 3\left(-1\right) \ \textgreater \ \mathrm{Simplify} \ \textgreater \ -n\ \textgreater \ -3[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} [/tex]
[tex]\left(-n\right)\left(-1\right)\ \textless \ \left(-3\right)\left(-1\right) \ \textgreater \ \ \textgreater \ \mathrm{Simplify} \ \textgreater \ n\ \textless \ 3[/tex]
Hope this helps!
Which number has a 5 whose value is 10 times the value as the 5 in 24092.52
A.3,498.05
B.65
C.4835.19
D.859.24
Answers
24092.52's 5 is in the tenths, which means the 5 has to be in the one's place inside your answer
hope this helps
Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35¢ off each can. What was the price of a can of tuna without the coupon? Enter your answer in the box.
Answers
Answer: $1.98
Step-by-step explanation:
Given: The total amount Tanya spent on cans of tuna = $8.15
Also, she used a coupon that gave her 35 cents off each can.
Therefore, The total discount on 5 cans =[tex]5\times35=175\ cents[/tex]
Since, $1=100 cents or 1 cent= 0.01 dollar
Therefore, the total discount on 5 cans=[tex]0.01\times175=\$1.75[/tex]
Now, the price of 5 cans of tuna without the coupon=[tex]\$8.15+1.75=\$9.90[/tex]
The price of a can of tuna without the coupon=[tex]\frac{9.90}{5}=\$1.98[/tex]
What are the missing angles?
Answers
2y=60
i believe this is the correct answer
3y=90
y=30
2y=60
What is the positive square root of 36? Enter your answer in the box.
Answers
√36 = 6 because 6 x 6 = 36
How do you determine if a set of ordered pairs is a function or not?
Answers
If you think about it, it makes sense. Think about f(x) = x + 1. The pairs (x, f(x)) look like (1,2), (2,3), (3,4), (4,5), etc. If you also had (1,3) in the set, then there'd be two different answers for 1+1. The same applies to any function. There can only be one result for a given input value. Your welcome!!
A stamp collector bought 160 stamps for $25.00. The purchase included 5¢ stamps, 15¢ stamps, and 25¢ stamps. The number of 15¢ stamps is three times the number of 5¢ stamps. How many of each type of stamp was purchased?
Answers
15- 90
52- 40
Questions?
The stamp collector purchased 40 5¢ stamps, 120 15¢ stamps, and 0 25¢ stamps.
Explanation:To solve this problem, let's assign variables to the number of each type of stamp purchased. Let x be the number of 5¢ stamps, y be the number of 15¢ stamps, and z be the number of 25¢ stamps. We are given that the number of 15¢ stamps is three times the number of 5¢ stamps, so we can write this as y = 3x. We also know that the total number of stamps is 160, so we have the equation x + y + z = 160.
Using these equations, we can set up a system of equations:
y = 3x
x + y + z = 160
We can substitute the first equation into the second equation to eliminate y:
x + 3x + z = 160
Combining like terms, we get 4x + z = 160. We can rearrange the equation to solve for z:
z = 160 - 4x
Now we can substitute this expression for z back into the second equation:
x + 3x + 160 - 4x = 160
Simplifying, we get 4x = 0. Solving for x, we find x = 40. Plugging this value back into the equation y = 3x, we get y = 120. Finally, we can find z by substituting x and y into the equation z = 160 - 4x:
z = 160 - 4(40) = 160 - 160 = 0.
So, 40 5¢ stamps, 120 15¢ stamps, and 0 25¢ stamps were purchased.
Learn more about Stamps here:https://brainly.com/question/22056874
#SPJ12
(6.5/2) to the second power. Simplify
Answers
When a coordinate grid is superimposed on a map of harrisburg the highschool is located at (17,21) and the town park is located at (28,13) . If each unit represents 1 mile, how many miles apart are the highschool and the town park? round your answer to the nearest tenth
Answers
To find the distance between the high school at (17,21) and the town park at (28,13), use the distance formula which yields a result of approximately 13.6 miles apart, rounded to the nearest tenth.
When looking at the coordinates of the high school at (17,21) and the town park at (28,13) on a coordinate grid where each unit represents 1 mile, we need to use the distance formula to calculate the distance between the two points. The distance formula is derived from the Pythagorean theorem and is given by:
[tex]Distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Substituting the values -
[tex]Distance = \sqrt{{(28 - 17)^2 + (13 - 21)^2}[/tex]
Calculate the differences and square them:
Distance = [tex]\sqrt{{(11)^2 + (-8)^2}\\[/tex]
Distance = [tex]\sqrt{{121 + 64}[/tex]
Distance = [tex]\sqrt{{185[/tex]
Take the square root to find the distance:
Distance = 13.6 miles
Therefore, the high school and the town park are approximately 13.6 miles apart, rounded to the nearest tenth.
What property is this? if -5x-1=-11, then -5x=-10
Answers
Then, the answer would be x=-2.
What is the relationship between the values of the two 4s in 3.441
Answers
Answer:
The given number is 3.441
The first 4 is in the tenth place that is written like [tex]\frac{4}{10}[/tex] or 0.4
The second 4 is in the hundredth place that is written like [tex]\frac{4}{100}[/tex] or 0.04
We can see that the second 4 is one tenth times the first 4. This is shown like = [tex]\frac{1}{10} \times\frac{1}{10}[/tex] = [tex]\frac{1}{100}[/tex]
Or we can say the opposite that the first 4 is ten times the second 4.
Is 3.2 a rational number?
Answers
which of the following are equivalent to 0.625 625/1000 100/625 5/8 125/200 20/125
Answers
100/625= 0.16
5/8= 0.625
125/200= 0.625
20/125= 0.16
What is k/4+2-k=10.
Answers
Write 0.8 as a fraction.
Answers
Using the place value chart, we can see that the decimal 0.8 is eight-tenths, so we can write 0.8 as the fraction [tex]\frac{8}{10}.[/tex] We are able to simplify so we will divide the numerator and the denominator by 4.
Image is provided.
Therefore, the decimal 0.8 can be written as [tex]\frac{4}{5}[/tex].
Answer:
4/5
Step-by-step explanation:
0.8=8/10=4/5
Write an expression to represent the perimeter of:
2a-3
2a
3a+1
Answers
P = 2a - 3 + 2a + 3a + 1....combine like terms
P = 7a - 2 <==
An international company has 13,600 employees in one country. If this represents 19.3% of the company's employees, how many employees does it have in total?
Answers
answer the question in the image
Answers
_____________________________________________
Explanation:
____________________________________________
Given:
____________________________________________
10 years ago, # of illiterate people = 150 lakhs;
"Now" ; # of illiterate people = 100 lakhs ;
____________________________________________
So; the decrease in the # of illiterate people = "(150 - 100) = 50 lakhs ;
____________________________________________
To calculate the "percentage of decrease" :
____________________________________________
The "percentage of decrease" =
{"decrease in the # of illiterate people"} / {"# of illiterate people started with"] ;
× 100 (percent).
__________________________________________________
= [tex] \frac{50}{150} [/tex] * 100 % ;
{Note that: [tex] \frac{50}{150} [/tex] = [tex] \frac{5}{15}[/tex] ;
→ The "zeros" cancel out ;
→ [tex] \frac{50}{150} [/tex] * 100 % ;
= [tex] \frac{5}{15}[/tex] * 100 ;
Note: [tex] \frac{5}{15}[/tex] = [tex] \frac{(5/5)}{(15/5)} [/tex] ;
= [tex] \frac{1}{3} [/tex] ;
__________________________________________________
→ [tex] \frac{1}{3}[/tex] * 100 = [tex] \frac{1}{3}[/tex] * [tex] \frac{100}{1}[/tex] ;
_________________________________________________________
= [tex] \frac{(1*100)}{(3*1)} [/tex] % ;
= [tex] \frac{(100)}{(3)} [/tex] % ;
= "(100 ÷ 3) % ;
= " 33 ⅓ % " .
_____________________________________________________
Answer: The percentage of decrease is: " 33 ⅓ %" .
_____________________________________________________
Find the measure of angel b
Answers
140+x=180
x=40
If 3 onions weigh 0.75 lb,how much do 10 onions weigh
Answers
.75 / 3 = x /10
Solve for x
Then, 0.75 ÷ 3 =0.25
Lastly, 6.75 + 0.25 = 7
Your final answer is 7.
evaluate n/6 when n=12
Answers
n/6 = ?
In order to find out ?, we need to know what n is.
Well, n = 12
So, plug in 12 for n
n/6 would now be written as 12/6 in order to be evaluated
Now, simplify.... What you get for 12/6 is the answer
Answer:
When [tex]\( n = 12 \), \( \frac{n}{6} \)[/tex] equals [tex]\( 2 \).[/tex]
Explanation:
To evaluate [tex]\( \frac{n}{6} \)[/tex] when [tex]\( n = 12 \)[/tex] , simply substitute [tex]\( n = 12 \)[/tex] into the expression:
[tex]\[ \frac{n}{6} = \frac{12}{6} \][/tex]
[tex]\[ \frac{n}{6} = 2 \][/tex]
So, when [tex]\( n = 12 \)[/tex], [tex]\( \frac{n}{6} \)[/tex] equals [tex]\( 2 \).[/tex]
how many integers are greater than 9 37 and less than 37 9
Answers
But if the two given integer in excluded we will subtract both, we will calculate it by 37 - 9 - 1 = 27. So we will have a total of 27 integer if both the number is excluded.
Shelby is organizing the 12 prize ribbons she won for athletic competitions. She has twice as many first place ribbons as she does second place ribbons. How many first place ribbons does she have?
Answers
3x=12
X=4
The sum of two consecutive numbers is 95. What are the two numbers?
Answers
[tex]\huge{\boxed{47}}\ \ \huge{\boxed{48}}[/tex]
First, represent the situation with numbers and variables. The first number will be [tex]x[/tex] and the second number will be [tex]x+1[/tex]. [tex]x+x+1=95[/tex]
Combine like terms. [tex]2x+1=95[/tex]
Subtract 1 on both sides. [tex]2x=94[/tex]
Divide both sides by 2. [tex]x=\boxed{47}[/tex]
Find the second number. [tex]x+1\ =\ 47+1\ =\ \boxed{48}[/tex]
Ahmad drove 638 miles in 11 hours. At the same rate, how long would it take him to drive 522 miles?
Answers
Answer:
9
Step-by-step explanation: