Solve #3 Find the length of the missing side.a) A right triangle has a side length 2.4 cm and 6.5 cm. What is the length of the hypotenuse? b) A right triangle has a side length of and a hypotenuse of 1/4 length . What is the length of the other side? 1/3
Answers
Answer:
A) ≈ 6.93
B) ≈ 0.02
Step-by-step explanation:
A)
Formula : a² + b² = c²
2.4² + 6.5² = c²
5.76 + 42.25 = c²
c = √48.01
c ≈ 6.93
B)
Formula = c² - a² = b²
1/3² - 1/4² = b²
1/9 - 1/16 = b²
b = √7/144
b ≈ 0.02
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Answer:
A)
Data:
P = 6.5 cm
B = 2.4 cm
H = ?
▪ [tex]H^{2} = P^{2} + B^{2}[/tex]
=> [tex]H^{2} = 6.5^{2} cm+ 2.4^{2}[/tex] cm
=> [tex]H^{2}[/tex] = 48.01 cm
=> H = [tex]\sqrt{48.01}[/tex] cm
=> H = 6.92 cm
Ans: the length of the hypotenuse is 6.92 cm.
B)
Data:
P = [tex]\frac{1}{4}[/tex]
H = [tex]\frac{1}{3}[/tex]
B = ?
▪ [tex]H^{2} = P^{2} + B^{2}[/tex]
=> [tex]\frac{1}{3}^{2}[/tex] cm = [tex]\frac{1}{4}^{2}[/tex] cm+ [tex]B^{2}[/tex]
=> 0.11 cm = 0.06 cm + [tex]B^{2}[/tex]
=> [tex]B^{2}[/tex] = 0.11 cm - 0.06 cm
=> B = [tex]\sqrt{0.05}[/tex] cm
=> B = [tex]\frac{11}{50} [/tex] cm
Ans: the length of the other side is [tex]\frac{11}{50} [/tex] cm.
Related Questions
Help me please! It’s due in like 10 minutes and I’m barely on the 8th question !!!
Answers
Answer:A
Step-by-step explanation:campbella helped
Answer:
A
Step-by-step explanation:
6(5-3x) -5(3x+2)
multiply each expression by the number outside the bracket
6×5=30,6×-3x=-18x -5×3x=-15x,-5×+2=-10
30-18x-15x-10
group the like terms
30-10-18x-15x
20-33x
The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October:
A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Pumpkins and the x axis is labeled Days in October
Part A: Using computer software, a correlation coefficient of r = 0.51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)
Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm. (5 points)
Answers
Part A: The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.
Part B: A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.
What is a Scatter Plot?The association between two variables that are correlated can be shown by a scatter plot which has a trendline along which the data points are located.
If the trendline slopes upwards from the left to the right, it shows a positive correlation and vice versa.
Also, if the farther the data points are to each other along the trendline, the farther is it the correlation coefficient, r, is from 1 or -1. If they are moderately apart,, the correlation coefficient would be somewhere around 0.5/-0.5 and 0.65/-0.65, as the case may be.
Part A:
The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.
Part B:
A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.
Learn more about scatter plot on:
https://brainly.com/question/6592115
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
[tex]43/100[/tex]
Step-by-step explanation:
First, make both of the denominators into 100.
Then, 3/10 would be 30/100.
Finally, you can add them to get 43/100.
Make both denominators into 100 so that means 3/10 would be 30/100 then you add both so 30/100+ 13/100 only adding the numerators so it will equal 43/100
Evaluate 4 - x, when x = -6
Answers
Answer:
10
Step-by-step explanation:
4--6
4+6=10
10
step-by-step
4–6
4+6
Triangle ABC is transformed to obtain triangle A′B′C′:
Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.?
A. Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
B. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees
C.Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
D. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees
Answers
If Susan can read 40 pages in 12 minutes, how many pages can she read in 50 minutes?
The key on a map says 2 inches equals 7 miles. If two cities are9 inches apart on the map, how far apart are they in real life?
Answers
Answer:
Ans(1) 167 (rounded off)
ans(2) 32 (rounded off)
Step-by-step explanation:
1. Pgs read in 12 mins= 40
Pgs read in 1 min= 40/12 =10/3
Pgs read in 50 mins= 10/3 ×50= 166.6
So, when rounded off, Susan can read 167 pgs in 50 mins./ (ans)
2. 2 inches distance= 7 miles
1 inch distance= 7/2 miles
9 inches distance= 7/2 × 9= 31.5
so, when rounded off, the cities are 36 miles apart in real life/ (ans)
Lorenzo’s test scores are shown below.
Lorenzo’s Test Scores
A dot plot titled Lorenzo's Test Scores. A number line going from 80 to 90. 0 dots are above 80, 81, and 82, there is 1 dot above 83, 2 above 84, 2 above 85, 2 above 86, 2 above 87, 0 above 88 and 89, and 1 above 90.
Anika’s test scores are shown below.
Anika’s Test Scores
A dot plot titled Anika's Test Scores. A number line going from 80 to 90. There are 0 dots above 80, 81, 82, and 83, 3 dots above 84, 2 above 85, 2 above 86, 3 above 87, and 0 dots above 88, 89, and 90.
Which statement compares the shape of the two dot plots?
There is a gap in both plots.
There is a gap in Anika’s scores, but not in Lorenzo’s scores.
The data is widely spread across both plots.
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Answers
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
In other words "D" trust me
If you take a certain number and write a 9 to the right of it and add the doubled certain number to the result, the sum will be equal to 633. Find the certain number.
Answers
Hello,
let's say x is a certain number
10*x+9+2x=633
12x=624
x=52
Proof:
529+104=633
PLEASE HELP FAST, I CANT GET IT WRONG
Answers
Answer: I think it is 12 divided by 7
What is the value of 10r - 5s +24 when r = 3 and s = 9?
Answers
Answer: 9
Step-by-step explanation:
PLEASE HELP THIS QUESTION IS SO ANNOYING!!
Answers
Explanation- just did it :)
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
9/40
Step-by-step explanation:
[tex]17/20 - 5/8\\[/tex]
-> [tex](34-25)/40[/tex]
-> [tex]9/40[/tex]
34/40 - 25/40 = 9/40
9/40 is the answer
The table shows the way students travel to school at Peace Middle School.
Transportation Number of students
Bike 21
Walk 27
Bus 45
Car 10
Select the true statement about the information in the table.
Choose all answers that apply:
Answers
Answer:
PLZ MARK ME BRAINLIEST.
Step-by-step explanation:
Number Of Students who go to School by Walk = 27
Number Of Students who go to School by Bus = 45
Ratio of Student who go to School by Walk : Bus = 27 : 45
=> Ratio of Student who go to School by Walk : Bus = 3 : 5
Hence Ratio of Student who walk to students who ride the Bus is 3 : 5 is correct - True Statement
Number Of Students who go to School by Bike = 21
Number Of Students who go to School by Walk = 27
Ratio Bike : Walk = 21 : 27
=> Bike : Walk = 7 : 9
Hence for Every 7 Students who Bike there are 9 students who walk
=> For Every 7 Students who Bike there are 8 students who walk is not Correct
what is six-sevenths divided by three-fourteenths?
Answers
Answer:
4
Step-by-step explanation:
6/7 ÷ 3/14
Copy dot flip
6/7 * 14/3
Rewriting
6/3 * 14/7
2*2
4
Answer:
84/21
Step-by-step explanation:
to divide a fraction by another fraction, you must take the reciprocal of the second fraction (3/14 to 14/3) and then multiply the two fractions.
From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides up the rest into 9-ounces patties and sells them at 3 for $3.12. How much money does he receive for the patties?
Answers
Answer is in the picture
The amount of money received by him will be $15.60.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
The amount will be calculated as follows:-
The cut off amount = 18 - ( 1(15/16) -3(1/8)-4(1/2) = 8(7/16)
Now 16 ounces make a pound so divide by 16 we get:-
(135/16) ÷ ( 9 / 16 ) = ( 135/16 ) x ( 16 / 9 ) = 15
Dividing 15 by 3 we get 5 packs of 3 patties for $3.12
So amount = 3.12 x 5 = $15.60
Therefore the amount of money received by him will be $15.60.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
If 3x - 6y = 8, then x - 2y =
Answers
Answer:
8/3 or 2.6666
Step-by-step explanation:
You have divided the first equation by 3 -- all except the 8. So you must divide the 8 by 3 giving you 8/3 which is 2 2/3 or 2.66666
Answer (x - 2y) = 8/3
x-2y=8/3 is the required expression.
3x - 6y = 8
x - 2y =?
What is equation?
equation is the interlink between variable and represented as y=mx+c
3x - 6y = 8
taking 3 common from above equation.
3(x-2y) = 8
x-2y = 8/3
Thus the required expression is x-2y = 8/3
Learn more about equation here:
brainly.com/question/10413253
#SPJ2
Find a number which decreased by 10 is 4 times its opposites.
Answers
Answer:
40
Step-by-step explanation:
What are some transformations that would map DFE to ABC on this coordinate plane? Other than a unit movement
Answers
Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.
lets evaluate (3^6)^1/2
step by step.
Answers
Answer:
27Step-by-step explanation:
[tex]\bigg(3^6\bigg)^{\frac{1}{2}}[/tex]
use
[tex](a^n)^m=a^{n\cdot m}[/tex]
[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}[/tex]
simplify
[tex]6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=3\cdot\dfrac{1}{1}=3\cdot1=3[/tex]
other
[tex]6\cdot\dfrac{1}{2}=\dfrac{6\cdot1}{2}=\dfrac{6}{2}=3[/tex]
therefore
[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}}=3^3=\underbrace{3\cdot3\cdot3}_{3}=27[/tex]
[tex]\displaystyle\bf \boldsymbol{\boxed{(a^n)^m=a^{n\cdot m}}} \\\\(3^6)^{\frac{1}{2}} =3^{\frac{6}{2} }=3^3=\boldsymbol{{\boxed {27}}}[/tex]
In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
A) 2
B) 5
C) 20
D) 80
Answers
Answer:
Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. What characteristic of the data will imply an association between the two v
Step-by-step explanation:
Because well the 20% of 100 is 20
please help i dont know
Answers
Answer:
a/4x-3
Step-by-step explanation:
4 'x' box means: 4x, 3 '-' box means: -3
Answer:
a) 4x-3
I hope this helps have a great day
please help if you can and if you know how to help me understand these Im all ears.
Answers
Aight let's answer this step by step
What you need to know is if two values are equal either one will be similar to the other it's only the format that's different if you calculate each of the fractions you'll see each pair is equal except for the last option
Where if calculated
8/3=2.67 but
5/4.8=1.04
Therefore values aren't equal to each other
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
7/20
Answer:
7/20 if you want you answer in decimal form that would be 0.35
(08.05)The box plot shows the number of years during which 24 colleges have participated in a local college fair:
Years of Participation
0
10
5
Years
At least how many schools have participated for 2 years or fewer?
2schools
4schools
6schools
7 schools
Answers
The distance between port M and port N is 162 mi. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?
Answers
Answer:
900 minutes
To get explanation go here:
https://brainly.com/question/14424494
Please help! I forgot how to do this.
Answers
Answer:
x = 35
Step-by-step explanation:
We can tell that these two angles are supplementary—that means that they add up to 180˚.
So, subtracting 75 from 180, we get 105. That's the value of angle 3x. Now, just divide 105 by 3. That's 35.
By that logic, x = 35.
Answer:
Step-by-step explanation:
PLEASE HELP Which of the following statements correctly describes the counting principle?
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
The counting principle lets you subtract the number of options per category to find the total number of possible outcomes.
The counting principle lets you divide the number of options per category to find the total number of possible outcomes.
The counting principle lets you add the number of options per category to find the total number of possible outcomes.
Answers
Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
simplify
(a^m/a^n)^m+n×(a^n/a^p)^n+p8×(a^p/a^m)^p+m
step by step
Answers
Answer:
m+a-1mn+m2+a-1np+n2n+a-mp+p2p8
Step-by-step explanation:
i just know sorry if this is wrong... :(
A/m/a^m^a/n
plz help me with the attcahment below
Answers
Step-by-step explanation:
...............MaRk As BrAiNeSt
Answer:
cos theta = BC/AC
Step-by-step explanation:
The cosine function is the ratio of the length of the adjacent side of one of the angles of a triangle to the length of the hypotenuse:
cos theta = BC/AC
A realtor earns 3% commissions on any house sale she makes. If she sells a house for $125000 how much commission is she going to earn? Answer ASAP please for good explanation
Answers
Answer:
$3750
Step-by-step explanation:
It's simple, just find the 3%of $125000
IF YOU SATISFIED WITH THE ANSWER, DON'T FORGET TO MAKE ME A BRAINLISTS.Whenever you have a percentage it will simplify to that out off 100 so if you have 50% it will be equivalent to 50/100 which is equal to .50. So that will be the same with 3% it will be 3/100 and that will make it .03. Than you will multiply it with how much the house sold for which is 125000. So .03*125000 is 3750.
Hopefully this helped you :)
