Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 6 and side AC has a length of 12 what is the length of side CD? Write your answer to the
nearest hundredth ie 179.50.
Answers
Using the Pythagorean Theorem, the length of CD, to the nearest hundredth, is: 11.62.
How to Apply the Pythagorean Theorem?The measure of the longest side of a right triangle when squared will be equal to the sum of the squares of the other smaller sides of the right triangle.
Given the following:
Side AB = 6
Side AC = 12
Based on the perpendicular bisector theorem, AD = 1/2(AB) = 1/2(6) = 3.
Using the Pythagorean theorem, we have:
Length of CD = √(AC² - AD²)
Length of CD = √(12² - 3²)
Length of CD = √(144 - 9)
Length of CD = 11.62
Thus, using the Pythagorean Theorem, the length of CD, to the nearest hundredth, is: 11.62.
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Related Questions
Which is a simplified
expression for the perimeter
of the triangle below?
2.5x 2x + 3 5x15
Answers
Answer:
It is the 60 simplified
Hope I've helped
Solve . -9 2/7 - (10 3/7)
A. -1 1/7
B. 1 1/7
C. 19 1/7
D. 19 5/7
Answers
Answer:
−19 5/7
None of the options match the answer
Step-by-step explanation:
−9 2/7 −10 3/7
=−65/7 −10 3/7
= −65/7 −10 3/7
= −65/7 − 73/7
= −138/7
= −19 5/7
X
X
X
What is the inverse function of f(x) = 4 -
6
A f(x)=¹=4-6x
B_1(x)=¹= 6-/
Cf(x)=¹=24-6x
Str
6
D f(x)=¹=24 --
I
-?
Answers
Answer:
[tex]\textsf{C}\quad f^{-1}(x)=24-6x[/tex]
Step-by-step explanation:
You want the inverse function of f(x) = 24 -x/6.
Inverse functionThe function relates x to y by y = f(x). The inverse function gives the reverse relation: x = f(y). Solving this for y gives the inverse function in the form you want.
x = f(y)
x = 4 -y/6 . . . . . use definition of f(x)
6x = 24 -y . . . . multiply by 6
y = 24 -6x . . . . add y-6x
f⁻¹(x) = 24 -6x . . . . write using function notation
Please help me with 1-4. I will give an Brainly and a bunch of extra points.
Answers
Answer:
1. A U C = {a, b, c, d, e}
2. B intersect A = {a, b, d}
3. B' = {c, f, g, h}
4. A - (B intersect C') = {a,c}
Step-by-step explanation:
U is a big set with all the letters a through f in it. Set A, B, and C are subsets of U. They have some of the letters in them. You could pick out the contents of set A, for example, from set U. Same with B and C. There's a little bit of overlap between A and B and C.
So for #1, the U shaped symbol means "Union" and you can remember that because of the U shape symbol. "Union" means throw everything in all together. A U C means all of A and all of C all together. But you don't have to write repeats, just list the letters once.
A is {a,b, c, d} and C is {a, e} so A U C is all of both of them:
{a, b, c, d, e}
The upsidedown Usymbol is "intersect" and that is only what the two sets have in common (whats the same) between the two sets.
BintersectA is what is the same in B{b,e,a,d} and A{a,b,c,d}. They both have a, b and d so that is the answer to BintersectA = {a,b,d}
The "apostrophe" looking mark means "Not this set". So B' means NotB. You list everything that is NOT in B. B is {b,e,a,d} so B' is NotB = {c,f,g,h}
The last one has what looks like a minus sign. Thats like normal "takeaway" along with parenthesis, use that normally like grouping/"do this first" and also intersect and Not. So basically all the work, all in one problem.
C = {a,e} so C' is NotC is {b,c,d,f,g,h}
The BintersectC' is what are the same beween B and NotC:
BintersectC' = {b,d}
A take away {b,d}
would be
{a,b,c,d} - {b,d}
= {a,c}
True or false? The following is a graph of a function.
8-6-4
True
False
86
8-
42
4-
-2
-4
-6
-8
y
2468
X
Answers
Answer:
true
Step-by-step explanation:
its true frfr
I thought of a number R added 12 and then doubled the result
Answers
Answer:
2r+24
Step-by-step explanation:
The number is R · R is added to 12 : R + 12. Double the result: 2 (R + 12). = 2 R + 24. So the answer is ultimatley 2r+24.
Answer: 2R+24
Step-by-step explanation:
(R+12)*2= ==> multiplication comes before addition, so in order to indicate that addition occurs before multiplication, there should be parentheses around
2(R+12)=
2R+2*12=2R+24
Write 0.925 as a percent and as a simplified fraction.
O 92.5% and 37
O 92.5% and 37
O 925 % and 37
40
O 9.25 % and
925
1000
Answers
0.925 as a percentage is 92.5 and as a simplified fraction is 37/ 40, that is, option A.
Here, we are given a decimal number- 0.925
we can write the number as follows-
0.925 = 925/1000
dividing both the numerator and denominator by 25 we get-
37/40
Thus, the number 0.925 as a simplified fraction comes out to be 37/ 40.
Now, we need to convert it into percentage form. Per cent simply means the value of a number per 100.
We can simply multiply 925/ 1000 by 100 to get the percent value as follows-
925/ 1000 × 100
= 925/ 10
= 92.5
Thus, 0.925 as a percentage is 92.5%.
Hence, option A, is the correct option.
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simplify 3 • 3^2 + 8 divided by 2 - (4 + 3)
Answers
Answer: 24 ==> B
Step-by-step explanation:
3*3^2+8/2 -(4+3)=
3*9+4-7=
27-3=24 ==> B
The equation y=14.4x+17.0 estimates the amount that businesses will spend, in billions of dollars, on a certain business technology, where x is the number of years after 2004. For what years will the spending be more than $89 billion?
Answers
The years where the spending will be more than $89 billion are: after 2009, i.e., 5 years after 2004, as found by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Given: y = 14.4x + 17,
where: x = number of years after 2004
y = amount spent by businesses
To find: number of years where spending
$89 billion.
Finding:
We are given: y = 89, for which, we have to find the x, i.e., the number of years.
By basic algebra, substituting the value of y and solving for x:
89 = 14.4x + 17
72 = 14.4x
x = 5
Hence, The years where the spending will be more than $89 billion are: after 2009, i.e., 5 years after 2004, as found by basic algebra.
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using company D’s plan, the cost of a phone call is $1.70 connection fee plus 26 cents per minute. if the total cost of the call is $13.66, how long is the phone call?
Answers
Answer:
it should be 7 minutes not sure because i got a slightly different answer but still gonna try
Step-by-step explanation:
1.70+26 = 1.96
1.96x7 = 13.72
Polynomial
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
is written in standard form.
What is the coefficient with x in that form?
Answers
Step-by-step explanation:
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
Coefficient of x is 3
It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient. For example, in the expression 3x, 3 is the coefficient of x but in the expression x2 + 3, 1 is the coefficient of x2.
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
[tex] = \left(2187 x^{7} + 10206 x^{6} + 20412 x^{5} + 22680 x^{4} + 15120 x^{3} + 6048 x^{2} + 1344 x + 128\right)\cdot \left(x^{7} - 7 x^{6} + 21 x^{5} - 35 x^{4} + 35 x^{3} - 21 x^{2} + 7 x - 1\right)=2187 x^{14} - 5103 x^{13} - 5103 x^{12} + 17577 x^{11} + 4347 x^{10} - 26649 x^{9} - 1869 x^{8} + 22931 x^{7} + 1246 x^{6} - 11844 x^{5} - 1288 x^{4} + 3472 x^{3} + 672 x^{2} - 448 x - 128 [/tex]
A toy store is having a sale. A video game system has an original price of $99. If it is on sale for 40% off the original price. Find the sale price of the game system. Round to the nearest CENT.
Answers
Answer:
The sale price is 59.40$
Step-by-step explanation:
Divide 99$ by 100, then multiply it by 60 because that's how much of that original price is left
brainliest pls have a good day
Lupe put $24000 in a certificate of deposit that gained interest at a rate of 5.5%. How much interest did the account gain after 3 months?
Answers
He gained $330 of interest in the three months.
Here we will use the Simple interest formula
Simple Interest (SI) = Simple Interest (SI)
initial principal balance = P = 24000
annual interest rate = r = 5.5
time (in years) = t = 3 months out of 1 year
= 3/12 = 1/4
Lets substitute the values in the formula
Simple Interest (SI) = (P × R × T)/100
= (24000 × 5.5 × 1/4)/100
= 330
What is simple interest?Simple interest is a quick and straightforward approach to figure out how much interest has accrued on a sum of money. Interest is always applied to the main sum, and there is a constant rate of interest applied during the course of the calculation.
Any bank where we deposit money pays us interest on the amount when we do so. There are other forms of interest charged by banks, but simple interest is one of them. To begin with, let's define a loan before delving further into the idea of simple interest.
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question is in the picture PLEASE HELP NEED DONE ASAP
Answers
The ordered pairs that solve the system of inequalities is given by:
(3, -2), (1, -1).
How to verify if an ordered pair solves a system of inequalities?To verify if an ordered pair solves a system of inequalities, we have to verify if it respects all conditions.
For this problem, the conditions are given as follows:
x - 3y ≥ 1.2x + y ≤ 4.For the ordered pair (0,3), we have that:
x - 3y = -9 < 1, hence it does not respect.
For the ordered pair (-1,1), we have that:
-1 -3 = -4 < 1, hence it does not respect.
For the ordered pair (3,-2), we have that:
3 - 3(-2) = 3 + 4 = 7 > 1.2x + y = 6 - 2 = 4 = 4, hence ok.For the ordered pair (4,0), we have that:
4 - 3(0) = 4 > 1.2x + y = 8 > 4, hence it does not respect.For the ordered pair (2,3), we have that:
2 - 3(3) = -7 < 1, hence it does not respect.
For the ordered pair (1,-1), we have that:
1 - 3(-1) = 1 + 3 = 4 > 1.2x + y = 2 - 1 = 1 < 4, hence ok.More can be learned about inequalities at https://brainly.com/question/24372553
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I’ll give points + brainalist!!
Answers
Answer: t<=-4 ==> -12, -5, -8, -4, -7
Step-by-step explanation:
t/4<=-1
t/4 * 4<=-1*4
t*4/4<=-4
4t/4<=-4
t<=-4 ==> -12, -5, -8, -4, -7
Answer:
-4,-5,-7,-8, and -12
Step-by-step explanation:
[tex]\frac{t}{4} \leq -1[/tex]
[tex]t\leq -4[/tex]
Therefore t has to be less than or equal to -4
So in the values provided, x can be -4,-5,-7,-8, and -12
The equivalent inequality would be [tex]t\leq -4[/tex].
If this was helpful pls give me brainliest <3
Twice a number is added to the number and the answer is 87. What is the number?
Answers
Work Shown:
x = some unknown number
2x = twice the number
2x+x = add on the number
2x+x = 87
3x = 87
x = 87/3
x = 29
please i need help on this question
Answers
Answer: 48 represents total amount and s represents scarves
Step-by-step explanation:
It tells you when you read the sentence carefully.
Please help I need it soon.
Find y if the slope between (1,y) and (-5,-1) is 2/3
Answers
Answer:
y = 3
Step-by-step explanation:
Points: (1, y), (-5, -1)
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (-1 - y)/(-5 - 1) = (-1 - y)/(-6)
slope = 2/3
(-1 - y)/(-6) = 2/3
Multiply both sides by -6.
-1 - y = -6 × 2/3
-1 - y = -12/3
-1 - y = -4
-y = -3
y = 3
Answer screenshot please
Answers
By using the given graph, we can see that f(-5) = 3.
How to find the value of f(-5)?
Here we have an image with the graph of the function y = f(x).
Remember that each point on that grid has the coordinates (x, y), where the values of x are on the horizontal axis, and the values of y are in the vertical axis.
So, if we want to find f(-5), then we want to see what value of y takes f(x) when x = -5.
So, first we need to go to the horizontal axis and find x = -5.
Once we find that value, now we need to move up or down along a vertical line (depending on where is the graph of the function). In this case we would move upwards. Now, count how many units we move up until we hit the graph of the function, that number of units will be the value of y.
In this case, we need to move 3 units upwards to hit the graph, then we have y = 3.
This means that the value of the function when x = -5 is y = 3, so we can write:
f(-5) = 3
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About how many times as great is 2.1 x 10^8 compared to 1.9 ×10^6
Answers
Answer:
2.1 x 10^8 compared to 1.9 ×10^6 is 110.53 times greater.
Answer:
Step-by-step explanation:
About how many times as great is 2.1 x 10^8 compared to 1.9 ×10^6
Kevin hiked Bright Angel Trail that gains as miles of elevation up the mountain. Kevin then hikes down
Bright Angel Trail to where he started his hike. Which best describes the total gain in elevation for the entire
hike?
Answers
Answer:
Step-by-step explanation:
AnAnAn
which length is 25 m longer than its width. Knowing that the length is 9/4 of it's width. Find area of the rectangle
Answers
Answer:
56.25
Step-by-step explanation:
9/4×25
=225/4
=56.25
Can someone confirm if my answer is correct?
Answers
BRAINLIEST FOR WHOEVER ANSWERS
Answers
The inequality for a child up to and including 26 lb is the third option showing correct number line of inequality.
Given that the inequality is 0<x<=26.
We are required to choose the option which shows the correct number line of inequality.
Inequality is like an equation which shows the relationship between two or more variables but in greater than,less than,greater than or equal to ,less than or equal to signs.
Because we have to include 26 in the inequality so we need to fill the circle on 26. So, the correct option showing the correct inequality is third.
Hence the inequality for a child up to and including 26 lb is the third option showing number line of inequality.
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The three angles in a triangle are in the ratio 3:4:5. Find the angles
Answers
Elaboration：
Let the three angles be 3x 4x and 5x
( since the sum of interior angles of triangle=180° )
3x+4x+5x= 180
12x = 180
x = 15
3x= 45
4x= 60
5x= 75
I have a height of a shadow that is 523 in the height of myself and my shadow 64 in and 180 in i need to cross multiply to find out what the height of the tree is
Answers
The height of the tree is 186 inches if Shadow of tree is 523 inch shadow of human is 180 inch height of human is 64 inch.
What is cross multiplication?Cross multiplication occurs when the numerator of the first fraction is multiplied by the denominator of the second fraction, and the numerator of the second fraction is multiplied by the denominator of the first fraction.
We have given information that
Shadow of tree = 523 inch
Shadow of human = 180 inch
Height of human = 64 inch
height of tree = x
Lets solve this with cross multiplication
⇒ [tex]\frac{64}{180} = \frac{x}{523}[/tex]
⇒ 180 × x = 64 × 523
⇒ x = (64 × 523)/180
⇒ x = 185.95
= 186 approx.
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8 less than twice a number is the same as 4 more than that same number
Answers
Answer:
12
Step-by-step explanation:
So: 2x-8=4+x
x-8=4
x=12
How do you evaluate c^2 + 7c - 6 when c = 6?
Answers
Answer:
72
Step-by-step explanation:
(6)^2+7(6)-6
36+42-6
72
9x^3+2x-4 / 3x-2
Is this answer 9x+8+(4/3)/3x-2
Answers
Answer:
Hello,
Step-by-step explanation:
[tex]9x^3+2x-4=(3x-2)*(3x^2+2x+2) \\Remainder\ is\ 0\\\\if\ x \neq \dfrac{2}{3} \\\\\dfrac{9x^3+2x-4}{3x-2}=\dfrac{(3x-2)*(3x^2+2x+2) }{3x-2} =3x^2+2x+2[/tex]
An English instructor asserted that students test grades are directly proportional to the amount of time spent studying. Lisa studies 4 hours for a particular test and gets a score of 79. At this rate how many hours would she have had to study to get a score of 93?
Answers
Answer:
She have to study 4 hours and 42 minutes to get 93 marks.
Step-by-step explanation:
when she studied 4 hours she got 79
when she studied 1 hour she got 4/79
[tex]4 \div 79\times 93[/tex]
is the time when she got 93
= 4.70
It means the time will be 4 hours 42 minutes