Answers
Answer:
x = 31.8
Step-by-step explanation:
From the picture attached,
By applying Pythagoras theorem in right ΔADC,
AC² = AD² + CD²
(22)² = AD² + (16)²
AD² = 484 - 256
AD = √228
= 2√57
Now we apply Pythagoras theorem in right ΔADB,
AB² = AD² + DB²
x² = 228 + (44 - 16)²
x² = 228 + 784
x² = 1012
x = √1012
= 31.81
≈ 31.8
The side x is an hypotenuse side to one of the right triangles formed by
altitude of the given triangle that has solid lines.
x is approximately 31.812
Reasons:
The figure shows a triangle with an altitude that forms two triangles inside
the main triangle.
By Pythagoras's theorem, we have;
For the right triangle on the left;
22² = h² + 16²
h² = 22² - 16² = 228
h² = 228
h = √228 = 2·√57
h = 2·√57
In the right triangle to the right, we have;
The length of the top base, b = 44 - 16 = 28
The square of the hypotenuse, x² = h² + b²
∴ x² = 228 + 28² = 1012
x = √(1012) = 2·√253
x = 2·√253 ≈ 31.812
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Related Questions
How are rates ratios and proportions used in careers in the medical field
Answers
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand
You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1.
Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31
Answers
Answer:
january 5 :12
january 10:22
Step-by-step explanation:
Answer:
16 pennies512 pennies1073741824 penniesStep-by-step explanation:
We can see a pattern:
Days >> Pennies1 >> 1= 2^02 >> 2= 2^13 >> 4 = 2^24 >> 8 = 2^3...n >> 2^(n-1)So
January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 penniessolve this
6x+7=8x−15
Answers
Answer:
Heres my answer x=11
Hope it will help you
Answer:
13x=-7x
6x+7=8x-15 is false
Step-by-step explanation:
NEED HELP ASAP WILL MARK BRAINLIEST
Answers
Answer:
Its the second one....
Step-by-step explanation:
Answer:
11x+12
Step-by-step explanation:
3x + 2x+2 + x+10 + 5x= 11x+12
can you solve 5x = -25
Answers
Answer:
x=-5
Step-by-step explanation:
Divide by 5 on both sides and you get x=-5
Hope this helps mark brainliest if correct
convert 25 liter to millilliter
Answers
Answer: 25,000 milliliter
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Just \bf MULTIPLY the liter (25) from 1,000}[/tex]
[tex]\large\textsf{25}\times\large\textsf{1,000 = ANSWER}[/tex]
[tex]\large\textsf{= \underline{\bf 25,000 }}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 25,000 mL (Milliliters) }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
2 1/8 and 17/8 are reciprocal numbers. True False
Answers
Answer:
False
Step-by-step explanation:
If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answers
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
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https://brainly.com/question/16943601
In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint
of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
А.
W
T
V
Answer:
Submit Answer
Answers
Answer:
[tex] TV = 34 [/tex]
Step-by-step explanation:
WX = 23 – 2x,
TV = 64 – 10x,
First, create an equation you will use to find the value of x.
Thus:
[tex] WX = \frac{1}{2}(TV) [/tex] (midsegment theorem of a ∆)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex] (substitution)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex]
Multiply both sides by 2
[tex] (23 - 2x)*2 = \frac{1}{2}(64 - 10x)*2 [/tex]
[tex] 46 - 4x = 64 - 10x [/tex]
Collect like terms
[tex] 46 - 64= 4x - 10x [/tex]
[tex] -18= -6x [/tex]
Divide both sides by -6
[tex] 3 = x [/tex]
[tex] x = 3 [/tex]
Find TV:
[tex] TV = 64 - 10x [/tex]
Plug in the value of x
[tex] TV = 64 - 10(3) = 64 - 30 [/tex]
[tex] TV = 34 [/tex]
Answer:
the answer is 18
Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18
A company sold 33 bicycles for 315 dollars each how much revenue did it receive
Answers
Answer:
A
Step-by-step explanation:
Answer: $10395
Step-by-step explanation:
33 • 315 = 10395
Please help will put brainliest
Answers
Answer:
7x - 8y = -23
Slope = 1.750/2.000 = 0.875
x - intercept = -23/7 = 3.28571
y - intercept = 23/8 = 2.87500
7x - 7y = -14
Slope = 1
x - intercept = -2/1 = -2.00000
y - intercept = 2/1 = 2.00000
The sum of the digits of a certain two-digit number is 13. Reversing its digits decreases the number by 45. Find the number..
Answers
Answer:
......................
Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=
Answers
Answer:
-2.7
thats the answer but i cant submit without some words lol
Answer:
n= 1.8
Step-by-step explanation:
Solve the following expression:
n/-15 = -1.2
-Multiply -1.5 on both sides:
(-1.5) n/-1.5 = -1.2(-1.5)
n=1.8
Therefore, the final answer is n = 1.8.
Simplify (10x^2− 8x − 1) + (4x^2− 8x − 5).
Answers
Answer: 14[tex]x^{2}[/tex] − 16x − 6
help asap plsplspls!
Answers
Tara was 50 feet below the surface of the ocean. She then swam up 20
feet. Which integer represents her starting depth?
Answers
Answer:
The starting depth and your integer is -50 since she started below the surface.
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal
Answers
Answer:
here
Step-by-step explanation:
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.
Answer:
Angle PQR measures 40 degrees
Step-by-step explanation:
No explanation took the test got it right.
Little late but, oh well, better late than never.
Select the correct answer.
The number of days, d, it will take Manny to read a book varles inversely as the number of pages, p, he reads per day. If kis the constant of
variation, which equation represents this situation?
OA. d+p=k
OB. dp = k
OC. d= pk
OD. d=p+k
Answers
The equation represents this situation will be dp = k. Thus, option B is correct.
What is directly proportional?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
The inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.
If k is the constant of variation.
The equation represents this situation will be
dp = k
Thus, option B is correct.
Learn more about proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
Desmond's monthly Netflix subscription costs $14.
If he charges it to his credit card each month for 7
months without making any payments, what will
his debt be?
Explain how you would solve this problem.
What is the answer?
Answers
Answer:
Desmond has a debt of $98.
Step-by-step explanation:
We are given that Desmond has a monthly Netflix subscription that charges him $14. Since it is a monthly subscription, it is a recurring charge.
We are also given that he does not make payments for 7 months. This means that the subscription is recurring for seven months.
Therefore, if he is charged $14 monthly and is charged that for 7 months, we can say that he is charged $14 seven times.
Therefore, we can create an equation that solved how much his debt would be based on this information.
[tex]\displaystyle14(7) = c\\\\14\times7=98\\\\c = 98[/tex]
Therefore, Desmond has a debt of $98.
The math club is having a car wash to raise funds to attend a state competition. They need to raise a minimum of $325.00. The cost of supplies for the car wash is $25.00. If they expect 40 cars on the day of the car wash, what is the amount they will have to charge each car to meet the minimum goal?
Answers
Answer:
8.75
Step-by-step explanation:
the formula to use would be:
$325 = 40x - 25
add 25 to both sides of the equation to get:
$350 = 40x
divide both sides by 40 to get:
x = 350/40 = $8.75
if they charge $8.75 per car, they will raise 40 * that for a total of $350.
they would then subtract the $25 for the cost of the supplies and they would be left with $325.
that's their minimum goal.
Answer:
8.75
Step-by-step explanation:
Given:3x-4=8 prove x=4
Answers
Hi!
Okay, so to prove that x = 4, all you have to do is insert 4 into the equation by replacing x with 4.
3x-4=8
3(4)-4=8
Now solve:
12-4=8
8=8
This is true, so x does equal 4.
WHOEVER IS FIRST GETS BRAINLIEST
Answers
Answer:
I got itttttyyttyy ty again
Answer:
me?
Step-by-step explanation:
all our cube shaped all sides of a cube measures 6.5 feet each what is the volume of the storage unit
Answers
Answer:
The answer is 274.625
Step-by-step explanation: Volume is lxwxh so 6.5 x6.5 x6.5 is 274.625
Answer:
im the girl from the other question that you said you liked! :)
Step-by-step explanation:
-15+6p=5(2p+1)
muti step
Answers
-15-5 = 10p-6p
-20 = 4p
P= -20/4
P= -5
Help with this problem (20 points)
Answers
Answer:
what problem? i dont see it
Which table represents a non proportional linear relationship
Answers
Answer:
u need to add a picture cuz i dunno the problem
Step-by-step explanation:
chooseeeeeeeeeeeeeeeee oneeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz and explain
Answers
Answer:
Step-by-step explanation:
Jose is right because the two angles are coresponding angles that are congruent
Will make you brainliest!!! If correct!!
Answers
Answer:
Step-by-step explanation:
y = - [tex]\frac{1}{4}[/tex] x + 3 ( equation of line t )
y - (- 2) = - [tex]\frac{1}{4}[/tex] [ x - (- 2)] ⇒ y = - [tex]\frac{1}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ( equation of line u )
PLEASE ANSWER ASAP!!!
A right triangle always has obtuse exterior angles at two verticies, True or False?
Answers
Answer:
false
Step-by-step explanation:
PLEASE HELP ME ITS URGENT
Just the first one
Answers
Answer:
m=-1/3
Step-by-step explanation:
