Answers
==========================================================
Explanation:
First we'll need the length of segment BD, which I'll call x for now. The similar triangles allow us to set up the proportion below to solve for x
AD/BD = BD/DC
13/x = x/4
13*4 = x^2
52 = x^2
x^2 = 52
x = sqrt(52)
Segment BD is exactly sqrt(52) units long.
------------
Now focus your attention on triangle BDC. We'll use the pythagorean theorem to find BC
(BD)^2 + (DC)^2 = (BC)^2
( sqrt(52) )^2 + ( 4 )^2 = ( m )^2
52 + 16 = m^2
68 = m^2
m^2 = 68
m = sqrt(68)
m = 8.2462 approximately
m = 8.2
Related Questions
e^ln(5x) =
5x
ln(5)
5ln(x)
ln(x)
Answers
Answer:
5x
Step-by-step explanation:
The natural log of 5x is the exponent to give e to get 5x as a result. You are simply applying the definition of logarithm
The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.
Option: A is correct.
Here, we have,
The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:
[tex]e^{ln(x)} = x[/tex]:
This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.
When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).
[tex]e^0 = 1[/tex]:
The natural exponential function raised to the power of 0 is equal to 1.
Now, let's simplify the expression step by step:
[tex]e^{ln(5x)[/tex]
Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:
5x
Therefore, the correct option is "5x."
The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.
Option: A is correct.
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what is the common denominator 4/15 and 1/3? Need answers ASAP
Answers
Answer:
15
Step-by-step explanation:
To find the common denominator we look for the LCM
15: 15,30,45,60
3: 3,6,9,12,15
Our LCM is 15
Meaning our LCD is 15
Brainliest please :)
What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.
Answers
Answer:
Slope = -3/2
Step-by-step explanation:
[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]
[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]
-Chetan K
a person buys X meter for 5
after, he sells 2/5 of it for 5.5
after, the half of it he sells 6.4
after, the leftovers for 6 and he make 120 profits of this
How much X meters he bought at the first place?
Answers
Step-by-step explanation:
I guess, it means every meter costs these amounts.
and the specified costs are not fit the whole bundle.
it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.
so, we have
-5x
+ 2/5x × 5.5
+ 1/2x × 6.4
+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6
= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).
about the line with the 1/10 :
the leftovers. 10/10 is the whole x at the beginning.
2/5 = 4/10.
1/2 = 5/10.
I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).
in full
-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120
-5x + 2.2x + 3.2x + 0.6x = 120
-5x + 6x = 120
x = 120
so, he bought 120m in the first place.
help me brain pt Part 2
Answers
How many 7-letter passwords can you make from the letters A, B, C, D, E, F and G, if letters CANNOT be repeated?
Answers
What is the constant of proportionality in this
equation?
y= 20x
Answers
Answer:
k=20
Step-by-step explanation:
The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.
help me with this plsssss
Answers
Answer:
y=1/2x+-5 is A
y=-2/3x+1 is B
y=4x+3 is C
y=2x+6 is D
Use mental math to find the partial products 3,000 x 5=
Answers
Answer:
15,000
Step-by-step explanation:
3 times 5 is 15, just add the 3 zeros.
15,000 is the partial product of 3000*5.
What is partial products?A partial product is a product obtained when we multiply a multiplicand by one digit of a multiplier that has more than one digit.
Given that, 3000*5
3000*5 = 15000
Hence, the partial product of 3000*5 is 15000.
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b
– 2 =
7
8
Write your answer as a fraction or as a whole or mixed number.
b =
Answers
Answer:80
Step-by-step explanation:
A man and his son are in the living room watching TV when the son asks his father a question.
"Dad, why is my sister's name Teresa?"
The dad thinks for a little bit and answers him.
"Well your mother loves Easter, and when you rearrange the letters in Teresa, you get Easter."
The son understands and says,"Thanks, dad."
The dad replies with,"No problem, Alan"
Answers
When we arrange Alan it brings out a dirty word
Answer:
so what is the q
Step-by-step explanation:
Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.
Answers
Answer:
a₃₂ = - 59
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then
[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5
Then
a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59
Doctors are interested in determining if the human body temperature is really 98.6 degrees. he selects 30 students and records their temperature using a digital thermometer. what type of test would they conduct to test this claim?
Answers
Answer:
I think its one mean, if it's not I'm very sorry
In order to corroborate his assertion that the average body temperature is lower than 98.6 degrees Fahrenheit, the croaker created a test statistic.
What's Test Statistic?A test statistic is a figure attained from a statistical analysis. It explains how far your observed data is from the null thesis, which states that there's no correlation between the variables or distinction between the sample groups.
Test statistics are statistics that are produced from samples to determine whether or not to accept the null thesis.
A sample is data that represents a portion of the population. In other words, it's a gauged - down interpretation of a larger group.
The croaker conducted a thesis test in order to corroborate the information that has been handed in the question. And he calculated the test statistic, or arbitrary data from the sample taken from the population data, for the thesis test.
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Please Help! 20 Points! Will Give Brainliest if correct!
Answers
Answer:
eh+gf/fh
Step-by-step explanation:
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
Answers
3 exponent 2 × 5 exponent 1 × 7 exponent 1
Pls help, I need (c) of the problem 3-106
Answers
Answer:
Negative x minus two
Step-by-step explanation:
3 - (x + 5)
Distribute the negative sign:
3 - x - 5
Simplify:
-x - 2
In words:
Negative x minus two
Let log p/n=8 and log m/n=5
What is the relationship between Pand M?
O A. P = 3M
O B. P = 1,000M
C. P= 100M
O D. P=0.001M
Answers
Answer:
B: p=1,000m
Step-by-step explanation:
Does anyone know this answer??
Answers
Answer:
(2, -9)
Step-by-step explanation:
2 - (-9) > 8 First, substitute the values for x and y.
2 + 9 > 8
11 > 8 The inequality is true, so (2, -9) is the correct pair.
Answer:
Answer is C
Step-by-step explanation:
basically you substitute (X,Y) in X-Y >0. so X-Y should be greater than 0. also, make sure you use the signs properly.
so in C. 3--10 > 0 so negative sigs cancel each other out so its 3+10 so 13> 0
Simplify the following expression. (0.5x – 3)(0.5x + 3)
Answers
Answer:
0.25x^2-9
Step-by-step explanation:
Difference of squares converse:
0.25x^2-9
Answer:
0.25x^2-9
Step-by-step explanation:
multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.
1.5x and -1.5x is 0. so you are left with 0.25x^2-9
PLS HELP WILL MARK YOU BRAINLIEST!!!
Answers
ok its either D or B but i think its D. Most likely.
Joe was looking through a numeric puzzle
book and found the following puzzle. The
sum of two numbers is two. The difference
of the two numbers is also two. What are
the two numbers?
Answers
0 and 2
Step-by-step explanation:
If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.
Choose Yes or No to tell whether each expression is equivalent to this expression.
–3(0.15 – 0.2 + 0.25p)
0.15 – 0.75p
Choose...
–0.45 – 0.6 + 0.75p
Choose...
–3(–0.05 + 0.25p)
Choose...
–3(0.15) + (–3)(0.2) + (–3)(0.25p)
Choose...
Answers
Answer:
top to bottom,
Yes
No
Yes
Yes
Add.
310+(−720)
Enter your answer as a fraction, in simplified form, in the box.
Answers
Answer:
-410/1
Step-by-step explanation:
Hey there!
Question :-[tex]310 + ( -720)[/tex]
We need to solve this arithmetic expression,as a fraction.
Solution:-[tex] \sf \longmapsto310 \: + ( - 720)[/tex]
Note that (+) and (-) equals to (-).
New Arithmetic expression will be :-
[tex]\sf \longmapsto310 + (720)[/tex]
Remove the parenthesis :-
[tex]\sf \longmapsto310 - 720[/tex]
Calculating the Subtraction:-
[tex]\sf \longmapsto310 - 720[/tex]
As 310 < 720, 720 contains (-) sign. Therefore, The Solution will be -410 not 410.
[tex]\sf \longmapsto - 410[/tex]
Converting to Fraction:-
[tex]\sf \longmapsto \: - 410[/tex]
[tex]\sf \longmapsto \: \dfrac{410 \times 1}{1 \times 1} [/tex]
[tex]\sf \longmapsto - \dfrac{410}{1} [/tex]
On Simplification of this Fraction:-
[tex]\sf \longmapsto \cancel \dfrac{ - 410}{1} [/tex]
On Cancelling , -410 Is the result.
[tex]\sf \longmapsto - {410} [/tex]
______________________________________
Henceforth , the answer of the arithmetic expression Will be :-(Simplified)
[tex]\boxed{\bf-{410} }[/tex]
________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.
Answers
Answer:
80,775
Step-by-step explanation:
I= (22,825) (0.0403) (63)
I= 57,950
P+I=A
I= A+P
I= 22,825 + 57,950
I= 80,775
Elena said the equation 9x+15=3x+15 has no solutions because 9x is greater than 3x. Do you agree with Elena? Explaining your reasoning.
Answers
Answer:
it does have a solution x=0
Step-by-step explanation:
9x+15=3x+15
6x+15=15
6x=0
x=0
Answer:
I agree.
Step-by-step explanation:
Here is my explantion:
[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]
I need the answer if you know write with explination if you don't know don't answer
Answers
Answer:
ABD ≅ ACD and PQS ≅ PRS
Step-by-step explanation:
For ABD ≅ ACD;
AB = AC = 3.5
BD = CD = 2.5
AD ≅ AD by reflexive
Since all 3 sides are congruent, SSS can be used
For PQS ≅ PRS
PQ≅PR by given
QS≅RS by given
PS≅PS by reflexive property
Since all 3 sides are congruent, SSS can be used and they are congruent
package of 11 wristbands costs $405.94. At this rate, what is the cost of 1 wristband in dollars and cents?
Answers
Answer:
36.90
Step-by-step explanation:
titan won 9 games last year and average eight this year write equation for the number of wins they can except to have after X year
Answers
Step-by-step explanation:
x = how many games won last year
x - 1 = how many games won each year
Gavyn drivers at a speed of 50 miles per hour. How long will it take to drive 225 miles
Answers
Answer:
4.5hours - 4h30 min
Step-by-step explanation:
Doing the math: 225 miles : 50 miles per hour = 4.5 hours
Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min
The sum of twice a numbet n, and 14 ls 30 write an equation that models this
statement. Then explain how you might use reasoning to find the value of
Answers
Answer:
2n + 14 = 30
n = 8
Step-by-step explanation:
When the question says twice a number n, that means 2 * n = 2n.
Then when it says the sum of 2n and 14, that means 2n + 14.
Then they said that the sum of 2n + 14 = 30
If you want to find the value of n, subtract 14 from both sides:
2n = 16
Then divide by 2 on both sides:
n = 8
I hope this helps!