Answers
assuming the triangle is an isosceles, or namely that the two slanted sides are equal to each other, and thus the line in the middle is perpendicular to the base, so we can just use the pythagorean theorem to get the length of the slanted sides and then add them together with the base for the perimeter, Check the picture below.
\(\sqrt{(12xy^2)^2+\left( \cfrac{7x+3}{2}\right)^2}\implies \sqrt{(12xy^2)^2+ \cfrac{(7x+3)^2}{2^2}} \\\\\\ \sqrt{12^2x^2y^4+ \cfrac{49x^2+42x+9}{4}}\implies \sqrt{ \cfrac{4\cdot 12^2x^2y^4+49x^2+42x+9}{4}} \\\\\\ \cfrac{\sqrt{576x^2y^4+49x^2+42x+9}}{\sqrt{4}}\implies \cfrac{\sqrt{576x^2y^4+49x^2+42x+9}}{2}\)
so that'd be the length of one of the a slanted sides, we have two of them equal, so let's just add them up and the base.
\(\cfrac{\sqrt{576x^2y^4+49x^2+42x+9}}{2}+\cfrac{\sqrt{576x^2y^4+49x^2+42x+9}}{2}+(7x+3) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{\large perimeter}}{7x+3+\sqrt{576x^2y^4+49x^2+42x+9}}~\hfill\)
Related Questions
Northlake High School has two lunch periods. Students can eat their lunch in
the cafeteria or on an outside patio. About 35% of students who have first
lunch eat outside. Compare this with the percentage of second-lunch
students who eat outside.
Eat outside
Eat Inside
Total
First lunch
0.19
0.35
0.54
0.18
0.24
0.46
Second lunch
Total
0.41
0.59
1.0
Select the true statement.
A. A smaller percentage of second-lunch students (24%) eat outside.
B. A greater percentage of second-lunch students (39%) eat outside.
Answers
Answer:B
Step-by-step explanation:
Based on the data given on Northlake High School, we can infer that B. A greater percentage of second-lunch students (39%) eat outside.
What does the data on the First and Second lunches show?The percentage of second-lunch students who eat outside is:
= Second lunch students who eat outside / Second lunch students
Solving gives:
= 0.18 / 0.46 x 100%
= 0.3913 x 100%
= 39%
This shows that the percentage of students eating their second lunch outside is 39%.
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scientist finds that for every in of rainfall at a lake, the level of the
water in the lakeries 0.6 cm
By how many centimeters will the water in the lake rise after I in of rainfall?
Answers
Answer:
0.8 cm
Step-by-step explanation:
I divided 0.6 by 3 and then multiplied by 4 because 0.6 is 3/4 of the portion and we need the other 1/4.
Over the first 20 games of the season, the distribution of a basketball team's scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94.110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?
Answers
use 3.14 help me please
Answers
Answer:
V = 339 in³
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³
Here the diameter is 18 m, so the radius must be 9 m, and the volume of the sphere is
V = (4/3)(3.14)(9 m)², or
V = 339 in³
How do you do this? Help me
Answers
Answer:
D. 9
Step-by-step explanation:
You'll get it right, just trust me.
Please help asap or im gonna fail...:(
3/10=?/50
Answers
Answer:
3/10=15/50
Step-by-step explanation:
3/10=?/50
you have t multiply the denominater, 10 by 5 to get to 50.
since you multiply the denominator by 5, then you have to multiply the numinator by 5.
so 3x5 would equal 15.
if you want to check your work, you just have to divide.
hope this helps.
What is the area of a right triangle 9 centimeters
high with a base of 9 centimeters?
Answers
Answer:C
Step-by-step explanation:
Area = 1/2 b h
Area = 1/2 * 9 * 9 = 40.5 sq cm
The area of the right triangle will be 40.5 square cm. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The dimension of the right triangle will be given below.
Height = 9 cm
Base = 9 cm
Then the area of the right triangle will be
Area = 1/2 x 9 x 9
Area = 40.5 square cm
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2. The price of a shirt is 100 dollars. The store manager gives a discount of 50 dollars. A man
and his brother bought 4 shirts and then share the cost with his brother. Write a numerical
expression to represent this situation and then find the price paid by each brother.
Answers
Answer:
100 each
Step-by-step explanation:
100 dollars - 50 dollars = 50 dollars
50 dollars × 4 shirts = 200 dollars
200 dollars ÷ 2 person = 100 dollars
each brother paid 100 dollars for 4 shirts
Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning?
Answers
Answer: No
Step-by-step explanation:
Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.
Mean should be used for average values
Answer:
da ba dee da ba doo im blue
Step-by-step explanation:
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.
Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.
The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.
Shay walks to softball practice. She leaves her home and walks 6 blocks north. She then turns east and walks 4 more blocks to the field. How far is the softball field from Shay’s home? Pythagorean Theorem
Answers
Answer:
7
Step-by-step explanation:
(a squared) plus (b squared) equals (c squared)
(6 squared) plus (4 squared) equals (c squared)
36+16=c squared
c equals 7
Answer:
7.21 blks
Step-by-step explanation:
Pythag theorem
a^2 + b^2 = c^2
6^2 + 4^2 = c^2
52 = c^2
c = sqrt 52 = 7.21 blcks
In space, how many planes can be perpendicular to a given line at a given point on that line in space?
A. 1
B.0
C. 3
D. infinitely many
Answers
In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.
The correct answer is Option D.
The key concept here is that a plane is defined by having at least three non-collinear points.
When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.
Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.
Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.
The correct answer is Option D.
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True or false: The uniform model is used only when you have no reason to imagine that any X-values are more likely than others.
Answers
The uniform model assumes equal probabilities for all values within a given range when there is no reason to believe that any X-values are more likely than others.
In statistics, the uniform model assumes that all values within a given range have an equal probability of occurring. This means that there is no preference or bias towards any specific value within the range. The uniform distribution is often represented by a rectangular shape, where the probability of any particular value occurring is constant.
The uniform model is typically used when there is no reason to believe that any X-values are more likely than others. This means that there is no prior information or evidence indicating that certain values are more probable or occur more frequently than others. In other words, there is no specific distribution or pattern in the data that suggests any particular value is more likely to occur.
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find the limit if it exists, or show it does not exist. a. lim(x,y)-->(2,1) (4-xy)/(x^2+3y^2) b. lim(x,y)-->(0,0) (x^4-4y^2)/(x^2+2y^2)
Answers
a. Thus, the limit exists and is equal to 0 and b. Since the limits along these two paths are different, the limit does not exist.
a. To find the limit of (4-xy)/(x²+3y²) as (x,y) approaches (2,1), we can try to approach the point from different paths. Along the path x = 2, we get lim(x,y)-->(2,1) (4-2y)/(4+3y²), which equals 0. Along the path y = 1, we get lim(x,y)-->(2,1) (4-2x)/(x²+3), which also equals 0. Thus, the limit exists and is equal to 0.
b. To find the limit of (\(x^4\)-4y²)/(x²+2y²) as (x,y) approaches (0,0), we can again approach the point from different paths. Along the path x = 0, we get lim(x,y)-->(0,0) (-4y^2)/(2y^2), which equals -2. Along the path y = 0, we get lim(x,y)-->(0,0) (\(x^4\))/(x²), which equals 0. Since the limits along these two paths are different, the limit does not exist.
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in this diagram, circle A has radius = 5.6 and DC = 8. BC is tangent line, calculate the distance of BC.
Answers
Answer:
13.6 is the distance of BC
How many terms are in the algebraic expression
Also, What do they mean by "Terms"
Answers
Answer:
There are 4 terms
Step-by-step explanation:
A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.
So, in this case, the terms are:
-7
12x^4
-5y^8
x
You want to have $293,000.00 when you retire 28 years for an annuity. How much money should be deposited at the end of monthly in an investment plan that pays 4.4% compounded monthly, so you will have the $293,000.00 in 28 years?
Answers
You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.
To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:
FV = P * (((1 + r)^n - 1) / r)
Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.
We want to find P, so rearrange the formula:
P = FV / (((1 + r)^n - 1) / r)
Substitute the values:
P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)
P ≈ $340.84
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What transformation has taken place
Answers
Which of these arcs has a measure of 134 degrees?
• FJ
• DF
• EG
• DH
Answers
Answer:
\(df \: is \: correct \: answer\)
does the point (0,1) satisfy the equation y=5x
Answers
Answer:
no
Step-by-step explanation:
Substitute x = 0 into the equation and if the value is 1 ( the y- coordinate ), then it is a solution.
y = 5(0) = 0 ≠ 1
Then (0, 1 ) does not satisfy the equation
Answer:
No. y=5x means that y has to be 5 times x
e.g. (0,0), (1,5), (2,10), (3,15)
Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!Help!
PLZZZZZZ
Answers
Answer:
c
Step-by-step explanation:
The equation S = 50 + 45w represents the savings, S, after w weeks working and depositing money into a savings account at the bank. Determine whether there is a proportional relationship and Explain your reasoning. *
Answers
Given:
Saving, S, after w weeks is represent by the equation
\(S=50+45w\)
To find:
Whether there is a proportional relationship.
Solution:
If y is proportional to x, then
\(y\propto x\)
\(y=kx\)
where, k is constant of proportionality.
Here, there is no constant term and (0,0) satisfy this equation.
The given equation is
\(S=50+45w\)
Here, we have a constant term.
For S=0 and w=0,
\(0=50+45(0)\)
\(0=50\)
Which is not true as \(0\neq 50\).
Since, there is a constant term 50 and the equation is not true for (0,0), therefore, the given relationship is not proportional relationship.
Julio says, "If you subtract 14 from my number and multiply the difference by - 4, the result is
- 28." What is Julio's number?
Julio's number is
Answers
Answer:
x = 21
Step-by-step explanation:
let the number be x
-4(x-14) = -28
-4x + 56 = -28
-4x = -28 - 56
-4x = -84
x = 84/4 = 21
Each cup holds 1/5
liter of water. There are 6 cups.
a. Draw a diagram representing the situation.
b. How many liters of water do the 6 cups hold?
Answers
Answer:
can't draw it but it should look something like 6 glasses that are half of half full. in total they hold 1.2 liters
Step-by-step explanation:
Answer:
that would be at least 1.41
Step-by-step explanation:
beucase 6 cups = 1.41
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There are four candidates for homecoming queen and three candidates for king. How many king-queen pairs are possible?
Answers
The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.
To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.
Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.
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How do I write an equation in slope intercept form
Answers
Answer: u would have to use the slope intercept form which is m=y²-y¹/x²-x¹
Step-by-step explanation:
Given amplitude 5, period of pi and a vertical shift of 2, write a sine equation.
Answers
So, the final equation for the sine function is:
\(y = 5 sin(2x - \pi /2) + 2\).
How to write general trigonometry equation?The general form of a trigonometric equation can vary depending on which trigonometric function is being used (sine, cosine, tangent, etc.), but the most general form is:
\(f(x) = A sin(Bx + C) + D\)
where f(x) is the trigonometric function, A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift. The phase shift and vertical shift are optional components and may not always be present in a trigonometric equation.
If using cosine instead of sine, the equation would be:
\(f(x) = A cos(Bx + C) + D\)
If using tangent, the equation would be:
\(f(x) = A tan(Bx + C) + D\)
Other trigonometric functions, such as secant, cosecant, and cotangent, can also be used in trigonometric equations, but the general form would follow the same structure as above.
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Use the graph to fill in the blank with the correct number. f(−2) = ________ Numerical Answers Expected! Answer for Blank 1:
Answers
Answer:
2
Step-by-step explanation:
check the point where the x is -2
what is its y-value ?
this is 2, right?
it means that f(-2)=2
Answer:
2
Step-by-step explanation:
320 people can sit in auditorium, which inequality repersents the number of people who can sit in the auditorium
Answers
Answer:
x ≤ 320
Step-by-step explanation:
320 is the maximum number, so the number of people, x, is equal to or less than 320.
x ≤ 320
HELPPP
3 1/5 ÷ 2/7=???
Answers
Answer:
11 1/5
Step-by-step explanation:
3 1/5 ÷ 2/7 =
16/5 ÷ 2/7 =
KCF (Keep, Change, Flip)
Keep 16/5
Change ÷ to ×
Flip 2/7 to 7/2
16/5 × 7/2
16 x 7 = 112
5 x 2 = 10
112/10
11 2/10
11 1/5
Hope that helps :)
pls help i really really need help on this. We just learned this but i can't remember it.
I'm really sleepy and wanna sleep. So i would appreciate your help.
:)
Answers
Answer:
114 cm²
Step-by-step explanation:
Area of shaded region
= area of circle -area of square
\(\boxed{area \: of \: circle = \pi {r}^{2} }\)
Given that radius= 10cm, r= 10cm.
\(\boxed{area \: of \: square = side \: \times side}\)
Let the length of a side of the square be x cm.
Applying Pythagoras Theorem,
10² +10²= x²
100 +100= x²
x²= 200
\(x = \sqrt{200} \)
Area of square
= x²
= 200cm²
Area of shaded region
= 3.14(10²) -200
= 3.14(100) -200
= 314 -200
= 114 cm²