Answers
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
So the missing leg = the sqrt of the hypotenuse squared minus the other leg squared.
Let's substitute the numbers,
[tex]a = \sqrt{ {10}^{2} - {6}^{2} } [/tex]
Solve for the squares,
[tex]a = \sqrt{100 - 36} [/tex]
Subtract,
[tex]a = \sqrt{64} [/tex]
Solve for the root,
[tex]a = 8[/tex]
~~
So our missing length is 8.
To find the perimeter of the triangle, simply add all the sides....
~~
[tex]8 + 10 + 6 = 24[/tex]
~~
Answer : 24
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
______________________________________________________
Explanation:
______________________________________________________
To find the perimeter of the triangle, we add up the lengths of
all 3 (THREE) sides of the triangle; and we have the answer!
______________________________________________________
The triangle given is a "right triangle.
We are given the length of 2 (TWO) of the sides: "6 units" ; and "10 units (the length of the hypotenuse).
___________________________________________________________
We can find the "unknown side length" by using the "Pythagorean theorem" (since this is a "right trangle"):
→ a² + b² = c² ;
in which : "c" is the hypotenuse; which is: "10" (given);
Let "b" represent the known side length, which is "6" (given).
Solve for "a" (the "unknown" side length).
→ a² + 6² = 10² ; Solve for "a" ;
→ a² = 10² – 6² = 100 – 36 = 64 .
↔ a² = 64 .
Now, take the positive square root of each side of the equation;
to isolate "a" on one side of the equation; & to solve for "a" ;
→ ⁺√(a²) = √64 ;
→ a = 8 .
__________________________________________________
Now, to find the "perimeter" of the triangle, we add up all of the side lengths:
6 + 8 + 10 = 14 + 10 = 24 .
__________________________________________________
Answer: The perimeter of the triangle given is: " 24 units " .
__________________________________________________
Related Questions
The sum of two numbers is 76. The first number is 4 more than twice the other. How much is the first number?
Answers
Since their sum is 76, then x+y=76.
Since x is 4 more than twice y, then x=4+2y.
Now, since you have a definition for x (x=4+2y), you can substitute that equation in for x in the first equation.
This gets you (4+2y)+y=76.
Now, simplifying that out, you get the solution for y: y=24. Since you know what y is, you can substitute that in for y in the first equation and find x:
x+24=76
x=76-24
x=52
Which of the following points is a solution of y > |x| + 5?
(0,5)
(1, 7)
(7, 1)
Answers
Let's put it into the inequality.
7 > |1| + 5
The absolute value of 1 is 1 because it is 1 away from zero. So:
7 > 1 + 5
1 + 5 is 6.
7 > 6
Hope this helps!
last month you swim the 50m freestyle in 28.38 seconds. Today you swim it in 27.33 seconds what is your percent of change round to the nearest tenth of a percent if necessary
Answers
Making it a percent and rounding it to the nearest tenth it’ll be 96.3%
Please help for number 2!
Answers
Write an algebraic expression that illustrates the multiplicative identity.
Answers
Ex: 1(m) or 1 x m.
The reason for thusbis that when you are multiplying you are representing groups of something, so 1 group of anything or m, would just be that anything or m in this case!
Answer:
The multiplicative identity shows us that any time you multiply something by the number 1, the result would be what you started with.
Ex: 1(m) or 1 x m.
The reason for thusbis that when you are multiplying you are representing groups of something, so 1 group of anything or m, would just be that anything or m in this case!Step-by-step explanation:
Find the measure of side b.
Answers
cos (angle)=adjacent/hypotenuse
HOW DO u do this?? Plz help!!!! Question 2
Answers
Each box of Fred’s Fudge is constructed from 2 triangles and 3 rectangles. What is the shape of each box?
Answers
The answer is a rectangular prism
The boxes of Fred's Fudge, made of 2 triangles and 3 rectangles, are most likely shaped as triangular prisms.
Each box of Fred's Fudge is constructed from 2 triangles and 3 rectangles. The shape of each box can be determined by visualizing how the triangles and rectangles are assembled. In most cases, packaging that includes triangles would imply the presence of triangular prism shapes, where the triangles serve as the ends and the rectangles connect the corresponding sides of the triangles. Hence, it's reasonable to conclude that the shape of each box is likely a triangular prism.
A picture measuring 2.5" high by 6" wide is to be enlarged so that the width is now 18 inches. How tall will the picture be?
Answers
2.5 to 6 so if 6 is raised to 18 thats times 3 so just times 2.5 by 3 and you would 7.5
2.5" long/6" wide = t/18 " wide
6t = 18*2.5
6t = 45
t = 45/6
t = 7.5 inches
Mrs. Plesich has a 16 1/2 ounce bag of chocolate chips. She will only use 1/4 of the bag for decorating a cake . How many ounces will she use for the decorating.
Answers
66/4 x 1/4 is 66/16
33/8
The answer is 33/8 ounces.
help please and thank you.
Answers
.. 8, 10, 14, 15, 18, 22, 22, 30, 33
b) min: 8
.. med: 18
.. max: 33
.. Q1: med of first 4: 12
.. Q3: med of last 4: 26
When translating a figure using a combination of two translations, is the resulting figure congruent to the original figure?
Answers
When translating a figure using two translations, the end result is a figure that is congruent to the original. This is due to the fact that translations move the shape without altering its size or orientation.
Explanation:Yes, when translating a figure using a combination of two translations, the resulting figure is congruent to the original figure. When a figure is translated, it is moved without being turned or flipped, the size and shape remains the same, hence making it congruent. For example, consider a parallelogram. If two different vectors A and B are chosen to translate it, following the rules of vector summation, the figure moved, known as the resultant vector retains the dimensions and angles of the original parallelogram, albeit in a different location.
Learn more about Congruence through Translations here:https://brainly.com/question/29792559
#SPJ12
Please need help on this any clue any one
Answers
Answer:
A
Step-by-step explanation:
it makes the most sense
PLEASE HELP!
The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective.
Which sampling methods are likely to be biased?
Select each correct answer.
The manager selects 20 boards at random each day for 5 days and examines them.
Every 40th board produced over the course of 1 week is selected and examined.
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied
Answers
The third and fourth methods described are more likely to yield unbiased results, whereas the first and second methods are prone to bias.
The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective. To determine this accurately, the manager must use unbiased sampling methods.
Biased Sampling Methods
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined: This method is likely to be biased because it only considers boards produced during a specific timeframe, which might not represent the entire production cycle.
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied: This method is biased due to its reliance on customer self-reporting and the fact that only the first few respondents are considered, which might not be representative.
Possibly Unbiased Sampling Methods
The manager selects 20 boards at random each day for 5 days and examines them: This sampling method is likely to be unbiased as it involves random selection across multiple days, covering a broader production span.
Every 40th board produced over the course of 1 week is selected and examined: This method is less likely to be biased as it systematically covers the production over a week, though it might miss defects that occur in clusters shorter than 40 boards.
In summary, the third and fourth methods described are more likely to yield unbiased results, whereas the first and second methods are prone to bias.
Find the first term of the arithmetic sequence in which t22=1008 and d= -8
Answers
t22 = 22nd term
d = common difference
d = -8
n = number of terms
n = 22
.
tn = t1 + (n - 1)d
t22 = t1 + (n - 1)d
1008 = t1 + (22 - 1)-8
1008 = t1 + (21)-8
1008 = t1 + 168
1008 - 168 = t1
840 = t1
Carmela randomly selected 65 stamps from a stamp collection. Eleven of these were commemorative stamps. What is the interval estimate for the proportion of commemorative stamps in the entire collection if the sampling method had a margin of error of ±0.025?
Answers
p = 11/ 65 = 0.1692
This will make it easier to compute for the interval estimate. Interval Estimate = probability ± margin of error
upper limit = 0.1692 + 0.025 = 0.1942
lower limit = 0.1692 - 0.025 = 0.1442
So the interval estimate is 0.1442 < x < 0.1942
Last year Anthony earned $24,000. After a brief lay-off this year, Anthony's income is $18,500.
What I am basically trying to find is the Percent Of Change and I have to state whether or not the change is an increase or a decrease.
Answers
Final answer:
Calculate the percentage change in income, find a decrease of 22.92% from last year to this year.
Explanation:
Given:
Original income = $24,000
Current income = $18,500
Step 1: Calculate the change in income:
Change in income = New income - Original income = $18,500 - $24,000 = -$5,500
Step 2: Calculate the percentage change in income:
Percentage change = [(Change in income) / (Original income)] x 100
= [(-$5,500) / ($24,000)] x 100
= -22.92%
Step 3: Interpretation:
The percentage change is -22.92%, indicating a decrease in income by 22.92%.
Identify the question that is NOT statistical.
A)What is the maximum number of swimmers allowed on a swim team?
B)What were the times of the top five swimmers in the competition?
C)How many people attended on each of a three day competition?
D)How many tickets were purchased by each school for the competition?
Answers
Answer:
A)What is the maximum number of swimmers allowed on a swim team?
Step-by-step explanation:
usatestprep
how do you find the slope intercept form if you are given two triangles with one point over laped?
Answers
If one edge of both of the triangles form a straight line, you take the units of rise (y values) and divide it by the run (x values) of any one of the triangles.
Hope this helps!
HEEEEEEEEEEEEEEEEEEEEEEELP
Answers
y = 3x - 8
Explanation:
The equation in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope = 3
Therefore, the equation becomes:
y = 3x + c
Now, we need to get the value of c. We are given that the point (6,10) belongs to the line. Therefore, we will substitute with this point in the equation of the line and solve for c as follows:
y = 3x + c
10 = 3(6) + c
10 = 18 + c
c = 10 - 18
c = -8
Based on the above, the equation of the line is:
y = 3x - 8
Hope this helps :)
Solve for x. 6x^2−2=13
Answers
[tex]6 {x}^{2} - 2 = 13[/tex]
You add both sides by 2
[tex]6 {x}^{2} = 15[/tex]
[tex] \frac{ {6x}^{2} }{6} = \frac{15}{6} [/tex]
[tex] {x}^{2} = \frac{15}{6} [/tex]
[tex] \sqrt{ {x}^{2} } = \sqrt{ \frac{15}{6} } [/tex]
[tex]x = \sqrt{ \frac{15}{6} } [/tex]
a plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour.if the plane resultant speed due to the wind is 180 miles/hour,what is the plane's actual speed. rounded to the nearest integer
Answers
I hope this helped!
The plane's actual speed is 135 miles/hour if the plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour option (C) 135 miles/hour is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
The question in incomplete.
The complete question is:
A plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour. If the plane's resultant speed due to the wind is 180 miles/hour, what is the plane's actual speed, rounded to the nearest integer?
120 miles/hour130 miles/hour135 miles/hour140 miles/hourFrom the data given in the question:
Using Cosine Law:
c² = a² + b² - 2 ac cos C
180² = 50² + x² - (2×50)x cos 150°
32400 - 2500 - x² = 86.6x
29,900 - x² = 86.6 x
x² + 86.6x - 29900 = 0
After solving the above quadratic equation:
x = 135 miles/hour
Thus, the plane's actual speed is 135 miles/hour if the plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour option (C) 135 miles/hour is correct.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ6
An item selling for $1102 is reduced to $806. To the nearest whole, what is the percent decrease?
Answers
James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.
Answers
254 + 364 = 518
Which is total of 740 people.
The probability of being male is 0.3
46 + 254 = 300 that bring lunch
176 + 264 = 440 that buy their lunch
P(male | buy lunch ) = 0.4
Answer D
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = 0.3 and P(male) = 0.4.
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We are given that,
P(buys lunch | male) = 0.3 (the probability that a male student buys lunch)
P(male) = 0.4 (the probability that a student is a male).
These values suggest that there is a dependence between the two events.
The probability of buying lunch at school may be different for males and females.
The conditional probability P (buys lunch | male) is not equal to the marginal probability P(buys lunch) if the events "male" and "buys lunch" are dependent.
To confirm this,
We would need to calculate the conditional probability
P(buys lunch | female) (the probability that a female student buys lunch).
If this probability is different from 0.3 (the probability for males), then the events "male" and "buys lunch" are dependent.
Therefore,
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = 0.3 and P(male) = 0.4.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ5
Find the interest earned and the balance of the account: P=$650 R=4% T=2 Years
Answers
Is a product of a rational and irrational number, rational or irrational? Give an example
Answers
Letitia has 7 1/6 yards of yellow ribbon, 5 1/4 yards of orange ribbon, and 5 1/6 yards of brown ribbion. How much ribbion does she have altogether
Answers
First, we need to find the common denominator.
6 × 2 = 12
4 × 3 = 12
Our least common denominator is 12.
Now, we convert the fractions and add.
7 1/6 = 7 2/12
5 1/4 = 5 3/12
5 1/6 = 5 2/12
7 2/12 + 5 3/12 + 5 2/12 = 17 7/12
Hope this helps!
What is Eleven less than two times a number is equal to 27
Answers
If you want me to solve 2x - 11 = 27 than its below:
2x = 11 + 27
38 = 2x
38/2 = x
19 = x
-Love, live, and watch anime.
11 less implies: -11
two times a number (x) implies: 2x
equal to 27 implies: = 27
Set the equation together.
2x - 11 = 27 is your equation.
Solve for x. Note the equal sign. What you do to one side you do to the other. Add 11 to both sides
2x - 11 (+11) = 27 (+11)
2x = 38
Isolate the x. Divide 2 from both sides.
2x/2 = 38/2
x = 19
hope this helps
0.000309 in scientific notation
Answers
Writing in scientific notation means a should be
0 ≤ a < 10
Therefore, 0.000309 will be written as
3.09 x 10ⁿ
3 is the 4th decimal place value
so n = - 4
3.04 x 10⁻⁴
A flagpole that is 30 feet tall casts a shadow that extends 42 feet from the base of the flagpole. What is the distance from the top of the flagpole to the end of the shadow?