Answer:
10 units
Step-by-step explanation:
use distance formula to solve for this!
distance formula is
the square root of the change in x squared + the change in y squared.
sqrt (3+3)^2 + (|-3-5|)^2
sqrt 36 + 64
sqrt 100 = 10
the distance is 10 !
Answer:
the ditstance between (3,-3) and (-3,5) is 10
Step-by-step explanation:
we know the distance in a cartesian axis is
[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }[/tex]
so the answer is calculated 10
Right triangles 1, 2, and 3 are given with all their angle measures and approximate side lengths. Use one of the triangles to approximate the ratio (KL)/(JL).
- 0.64
- 0.77
- 0.83
- 1.2
Answer:
[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex] = 0.83
Step-by-step explanation:
The key understanding here is that ΔJKL is similar to triangle 3 based on the AA criterion (they both have a right angle and a 40° angle).
We can find [tex]\frac{KL}{JL}[/tex] by setting up a proportion statement that includes KL, JL, and the lengths of their corresponding sides in triangle 3.
We can use this proportion:
[tex]\frac{KL}{6.4}[/tex] = [tex]\frac{JL}{7.7}[/tex]
[tex]\frac{KL}{6.4}[/tex] ⇒ opposite to 40° angle
KL, JL ⇒ ΔJKL
[tex]\frac{JL}{7.7}[/tex] ⇒ adjacent to 40° angle
6.4, 7.7 ⇒ triangle 3
[Now see the attachment]
Now we can rewrite the equation to show the ratios of the side lengths within each triangle.
[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex]
[tex]\frac{KL}{JL}[/tex] ⇒ ΔJKL
KL, 6.4 ⇒ adjacent to 40° angle
[tex]\frac{6.4}{7.7}[/tex] ⇒ triangle 3
JL, 7.7 ⇒ adjacent to 40° angle
Answer: it’s 0.82
Step-by-step explanation:
Find the 87th term of the arithmetic sequence 1,14,27,….
Answer:
[tex]a_{87}=1119[/tex]
Step-by-step explanation:
Arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference between terms and n is the index of any given term.
Find the difference between the terms in the given sequence here:
[tex]14-1=13\\27-14=13[/tex]
Each term has a common difference of 13. Using that, you can write the equation for this sequence:
[tex]a_n=1+(n-1)13[/tex]
Finally, you can use this equation to find the 87th term by plugging in 87 for n:
[tex]a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119[/tex]
A
Hilda has a bank account balance of $1550. Each week, her balance changes by −$82.50. She wants to keep the balance above $395.
How many weeks will Hilda's balance remain above $395?
Select from the drop-down menu to correctly complete the statement.
Hilda's bank balance will remain above $395
Choose...
weeks.
Step-by-step explanation:
1550 - 395 = 1155
1155 / 82.5 = 14
Answer should therefore be 14 weeks.
Not my usual way of doing this sort of question but I'm interested to see if it's right. Alternatively you can subtract $82.50 from $1550 until/before you reach $395. Do not go below $395 though.
Answer:
K12 Answer
Step-by-step explanation:
Find the area of the equilateral triangle.
Answer:
try 6.93 for answer on equilqteral triangle
Extra Credit #4
What are the next two numbers in this pattern?
431
141311
1114111321
311431131211
Answer:
The next two numbers following:
431
141311
1114111321
311431131211
are:
132114132113111221
AND
11131221141113122113312211
Step-by-step explanation:
I shall explain the pattern below:
431 (just the digits 4, 3, and 1)
141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)
1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)
311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)
NEXT TWO NUMBERS:
one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)
that makes: 132114132113111221
one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)
that makes: 11131221141113122113312211
The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.
can some1 please help:(
A) -2/5hope it helps ....❤
the perimeter of a regular Pentagon is 100m how long is each side
Answer:
20 cm is the answer.
20
Step-by-step explanation:
the parameter of any shape is the sum of all sides and since the pentagon has 5 sides we just have to divide the parameter by 5
100÷5=20
find the value of p-8 when p=14
Answer:
6
Step-by-step explanation:
If p = 14
rewrite the equation
so replace the variable with 14.
now do basic subtraction.
14 - 8
= 6
Write the inequality
The inequalities which the number lines represent are as follows;
x > 3x <= 2.While writing inequalities represented on a number line;
We must observe the direction of the line; and also observe the shading on the starting point of the line.
In case 1:
The set of x values are represented as greater than 3; Therefore, the inequality is; x > 3In case 2:
The set of value are represented as less or equal to 2;Therefore, the inequality is; x <= 2The number line to represent the street sign is as in the attached image;
Read more on number line and inequalities:
https://brainly.com/question/1478009
will mark brainliest Select the correct answer.
Which relation is a function?
ОА
ху
14 -2
5 -3
6 -2
7-3
ОВ.
ху
310
220
3 30
440
ОС
Х У
-52
-53
-104
-105
OD.
ху
1015
2025
8 30
2035
−10sin(x)=−4csc(x)+3
-10 sin(x) = -4 csc(x) + 3
Recall that csc(x) = 1/sin(x) :
-10 sin(x) = -4/sin(x) + 3
Multiply both sides by sin(x) :
-10 sin²(x) = -4 + 3 sin(x)
Move everything to one side:
10 sin²(x) + 3 sin(x) - 4 = 0
Factorize the left side:
(2 sin(x) - 1) (5 sin(x) + 4) = 0
Then we have two cases,
2 sin(x) - 1 = 0 or 5 sin(x) + 4 = 0
Solve for sin(x) :
sin(x) = 1/2 or sin(x) = -4/5
Solve for x :
• if sin(x) = 1/2, then
x = arcsin(1/2) + 2nπ or x = π - arcsin(1/2) + 2nπ
x = π/6 + 2nπ or x = 5π/6 + 2nπ
• if sin(x) = -4/5, then
x = arcsin(-4/5) + 2nπ or x = π - arcsin(-4/5) + 2nπ
x = -arcsin(4/5) + 2nπ or x = π + arcsin(4/5) + 2nπ
(where n is any integer)
It is your birthday and you are going to get a new cellphone. The day you buy the phone, you will have to pay the $49 interest fee and a $200 down payment. The remaining balance of the phone will be paid off in 24 equal payments. The total bill is $980, including the interest fee and down payment. Write an equation to solve for p, the required monthly payments
Answer:
$30.46
Step-by-step explanation:
Total payment = down payment + interest fee + 24 equal payments
980 = 200 + 49 + 24 equal payments
24 equal payments = 24 * p, as we add p 24 times
980 = 249 + 24p
subtract 249 from both sides to isolate p and its coefficient
731 = 24p
divide both sides by 24 to isolate p
p = 30.46
If the diameter of a circle is [tex]\sqrt{144}[/tex] then what is the radius?
Hey there!
√144
= 12^2
= 12 * 12
= 144
Therefore, your answer should be: 12
Side note: There’s many ways to find the result of the square root but I just made it “easier” to solve and tackle future problems like this on your own.
Anyways
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A 7-pound bag of lollipops costs $12.18. What is the unit price?
Answer:
The unit price is 1.74$
Step-by-step explanation:
12.18 / 7
is 1.74
I need help asap very struggle with math
Answer:
16feet
part B is 18 feed for a good at a better than the price but the one
50 mm = how many cm?
Answer:
5cm
Step-by-step explanation:
50mm ÷ 10 = 5cm
1. The length of time, in hours, it takes an "over 40" group of people to play one soccer match is
normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of
size n = 50 is drawn randomly from the population. Find the probability that the sample mean is
between 1.8 hours and 2.2 hours.
The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535
What is the Probability in Normal Distribution?
We are given;
Sample size; n = 50
Standard deviation; σ = 0.5
Mean; μ = 2
The formula to find the z-score for each sample mean is;
z = (x' - μ)/(σ/√n)
Thus, for x' = 1.8, we have;
z = (1.8 - 2)/(0.5/√50)
z = -2.83
For x' = 2.2, we have;
z = (2.2 - 2)/(0.5/√50)
z = 2.83
Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;
P(-2.83 < Z < 2.83) = 0.99535
Read more about Normal Distribution Probability at; https://brainly.com/question/4079902
#SPJ1
The counting number ABAB is a multiple of 36. If different letters represent different digits, what is the greatest value ABAB can have? PLS HELP ONLY 10 minutes
The greatest value ABAB can have is 7272.
The given parameters:
Counting number ABAB = multiple of 36The counting number can be expanded as follows;
ABAB = 100 x AB + AB
= AB00 + AB
= AB(100 + 1)
= AB(101)
101 is a prime factor of AB and has only two factors.
The prime factor of 101 = 1 x 2
Since 101 is prime, the counting number AB must 2-digits multiples of 36.
The greatest value ABAB can have is calculated as follows;
ABAB = (36 x 2)(36 x 2)
ABAB = 7272
Thus, the greatest value ABAB can have is 7272.
Learn more about prime factors here: https://brainly.com/question/24612438
John and Linda wants to simulate how many children they would have if they continued having kids until they have a boy. They will use the table of random digits below and they have assigned the numbers 0-4 to be a girl and 5-9 to be a boy. Fill in the blanks for the number of children John and Linda will have for each trial.
Trial 1:
Trial 2:
ithink this is the literal answer
Are these shapes similar?
yes or no
Answer:
I’d say yes.
If you stretched the second shape then I think both shapes would look similar.
Help help help math math math
81°
Step-by-step explanation:
The sum.of the interior angles of a triangle is equal to 180°. Hence, in our triangle, we can see that
[tex]41° + 58° + \angle{3} = 180° \Rightarrow 99°+\angle{3} = 180°[/tex]
We then see that
[tex]\angle{3} = 180° - 99° = 81°[/tex]
Answer: 81 i believe
Step-by-step explanation:
Evaluate "four dollars less than the cost
of a sweater" if a sweater costs $22
a
a
The question says to evaluate the cost of four dollars less than the cost of a sweater.
To do this, what we have to do is to create a mathematical equation of it.
Less than always insinuates that we are to subtract, and as such, we are going to subtract four dollars from the cost of the sweater to get our final answer.
Four dollars less than the cost of a sweater that costs $22 is
22 - 4 = $18
Learn more about evaluating cost here https://brainly.com/question/14315509
Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)
a
4 to the tenth power over 5 to the fifth power
b
4 to the fourth power over 5
c
4 to the twenty-first power over 5 to the sixth power
d
12 to the seventh power over 15 squared
Answer: The answer is C, 4 to the 21st over 5 to the 6th power.
The total cost of a sketchpad and 6 pecils is $22.53. The sketch pad costs $9.99. Each. pencil costs the same amount. How much does each pencil cost
Answer:
22.53-9.99=12.54
12.54 divided by 6 = 2.09
Each pencil costs $2.09
Step-by-step explanation:
Prove the identity.
sin(x+y) / cosxcosy = tanx+tany
[tex]\dfrac{\sin(x+y)}{\cos x \cos y}\\\\\\=\dfrac{\sin x \cos y + \sin y \cos x}{\cos x \cos y}\\\\\\=\dfrac{\tfrac{\sin x \cos y}{\cos x \cos y} + \tfrac{\sin y \cos x}{\cos x \cos y}}{\tfrac{\cos x \cos y}{\cos x \cos y}}\\\\\\=\dfrac{\tan x + \tan y}1\\\\\\= \tan x + \tan y[/tex]
7/10 of guest were over 25 what is the percentage
Determine the probability of the event.
A survey found that about 90% of the junior class is right handed. If 2 juniors are chosen at random out of
100 juniors, what is the probability that at least one of them is not right handed?
Give an exact answer as a decimal.
Answer:
The probability is 1/100
Step-by-step explanation:
This is because there are only ten left-handed juniors (on average). Therefore there isn't a great chance that you would end up with one.
When a number is subtracted from 24 and the difference is divided by that number, the result is 3. What is the value of the number?
a) 2
b) 4
c) 6
d) 12
e) 24
Can someone please help me.
Answer:
make that 30 percent int a fraction and u should know what to do
Step-by-step explanation:
Find m
∠
K
M
L
∠KML.
Answer:
m∠KML = 35°
Step-by-step explanation:
This is an isosceles triangle because 2 of the sides are equal so we know the 2 unknown angles are equal. The 3 angles of any triangle always add up to 180° so since we know 1 angle is 110° then the 2 unknown angles must add up to 70° (because 180° minus the known 110° leaves us with 70°). Since we know the 2 unknown sides are equal 70° ÷ 2 = 35°. So, m∠KML = 35°