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:
wren is going to add an ordered pair to the table that will cause the table to no longer be a function. Which could be the ordered pair?
X Y
-3 7
-1 5
0 3
2 6
_ _
Answer:
(0,-2)
Step-by-step explanation:
[tex]prove that\ \textless \ br /\ \textgreater \ \frac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \frac { 1 + \sin \theta } { \cos \theta }[/tex]
pls i want the answwr as fast u can
ASAP !
MisterBrainly Answer Please :((((
0r any top user
who will answer correctly he will be a good user
plz answer
[tex] \large \bigstar \frak{ } \large\underline{\sf{Solution-}}[/tex]
Consider, LHS
[tex]\begin{gathered}\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]
We know,
[tex]\begin{gathered}\boxed{\sf{ \:\rm \: {sec}^{2}x - {tan}^{2}x = 1 \: \: }} \\ \end{gathered}
\\ \\ \text{So, using this identity, we get}
\\ \\ \begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - ( {sec}^{2}\theta - {tan}^{2}\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]
We know,
[tex]\begin{gathered}\boxed{\sf{ \:\rm \: {x}^{2} - {y}^{2} = (x + y)(x - y) \: \: }} \\ \end{gathered} \\ [/tex]
So, using this identity, we get
[tex]\begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - (sec\theta + tan\theta )(sec\theta - tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]
can be rewritten as
[tex]\begin{gathered}\rm\:=\:\dfrac {(\sec \theta + tan\theta ) - (sec\theta + tan\theta )(sec\theta -tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac {(\sec \theta + tan\theta ) \: \cancel{(1 - sec\theta + tan\theta )}} { \cancel{ \tan \theta - \sec \theta + 1} } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:sec\theta + tan\theta \\\end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1}{cos\theta } + \dfrac{sin\theta }{cos\theta } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1 + sin\theta }{cos\theta } \\ \end{gathered}[/tex]
Hence,[tex]\begin{gathered} \\ \rm\implies \:\boxed{\sf{ \:\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \:\dfrac{1 + sin\theta }{cos\theta } \: \: }} \\ \\ \end{gathered}[/tex]
[tex]\rule{190pt}{2pt}[/tex]
68 is 40% of what number?A.17 B.136 C.170D.270
Answer:
C. 170
Step-by-step explanation:
68/4=17
17 is 10% of the unknown number
17 times 10 is 170
Answer:
C. 170Step-by-step explanation:
68 is 40% of what number?
A.17
B.136
C.170
D.270
68 : 40 * 100 = 170
Solve for X
show your work
Answer:
alternate exterior angles are equal .
17x + 2 = 18x - 2
x = 2 + 2
x = 4
Step-by-step explanation:
Help please, ill give 5 stars, and brainly ofc (if correct)
Answer:
Step-by-step explanation:
part a = 1 x 4
part b = b
Answer:
y=2x+25
the graph is B.
Step-by-step explanation:
you will get a 100 points +100 if you get it right
Answer:
c = 4.2h
Step-by-step explanation:
the rate is 16.80 /4
4.20 per hour
earn = hours * rate
c = 4.20h
Answer:
[tex]c=4.20h[/tex]
Step-by-step explanation:
Given information:
Jasmine earns $25.20 for 6 hours work.Jasmine earns $16.80 for 4 hours work.Given variables:
c is the amount Jasmine earns (in dollar).h is the number of hours Jasmine works.To find Jasmine's hourly rate, divide the amount she earns by the number of hours worked:
[tex]\implies \dfrac{25.20}{6}=4.2[/tex]
[tex]\implies \dfrac{16.80}{4}=4.2[/tex]
Therefore, Jasmine earns $4.20 per hour.
The function that shows this information is:
[tex]\large\boxed{c=4.20h}[/tex]
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )
Answer:
x = √7km
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
You take a right triangle and find the lengths of the two sides that are vertical and horizontal. Then, using the formula a^2 + b^2 = c^2, find the length of C
(aka: Hypotenuse)
hope this helps!
I am an odd number. Take away one letter and I become even. What number am I?
Answer:
seven
Step-by-step explanation:
Lol thxx for the points
Pls give brainliest! Also, plz sub to kgirl633 on yt.
A lock consist of 4 dials, where each dial has 6 letters.what is the probability of guessing the right combination in one try?
Answer:
Step-by-step explanation:
The total number of choices is 6 * 6 * 6 * 6 = 1296
You have one chance to get it right
That's 1/1296 = 0.00077
Answer:
1/1296
Step-by-step explanation:
The probabilty of getting one of the dials correct is 1/6 because there are 6 letters on each dial. So if there are 4 dials, then the chance is multiplied by itself 4 times (1/6 * 1/6 *1/6 * 1/6). 1/6 * 1/6 *1/6 * 1/6 is equal to 1/1296.
How can you solve problems involving percents?
Step-by-step explanation:
To solve percent problems, you can use the equation, Percent · Base = Amount, and solve for the unknown numbers. Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100.
Answer:
Base = Amount, and solve for the unknown numbers.Step-by-step explanation:
Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.
There are 4 circles and 16 squares. What is the simplest ratio of circles to the total of shapes
Answer:
Not including circles in total shapes: 1 circle to every 4 squares or 1:4
Including circles in total shapes: 1 circle to every 5 shapes or 1:5
Step-by-step explanation:
16 ÷ 4 = 4
20 ÷ 4 = 5
Answer: 1:5
Step-by-step explanation:
∫(sinxdx)/(sinx^3+cosx^3)
I need help with this math problem please... 6x+2 if x=3
Answer:
20 is answer, hope it helps ypi
How do you divide fractions? Can someone please explain step by step to get marked as brainliest!
When diving fractions, use KFC:
K eep the first fraction the same
F lip the second fraction upside down
C hange the divide sign to a multiply
After, just work it out multiplying the denominators and the numerators together getting your answer
Hope this helped you, have a good day bro cya)
QUESTION 14 PLEASE HELP ME ASAPP
Answer:
A
Step-by-step explanation:
A. 2 toys/5 minutes
y/x
Step-by-step explanation:
Why use brainly for this
Christian buys a two-gallon bottle of juice for $28.16. What is the unit rate of the cost of the juice per fluid ounce?
Answer:
$0.22
Step-by-step explanation:
128 oz in a gallon
2 gallons is 256oz
28.16*2=56.32
56.32/256=0.22
Use the above balance sheet for the ABC Bank. Assume the reserve ratio is 20 percent. Assuming the bank (single bank) loans out all of its excess reserves, and has a check cleared against it for that amount loaned, its actual reserves and checkable deposits will now be:
PLEASE HELP FAILING ...A random variable x has a mean of 22 and a standard deviation of 3.1. Random samples of size 40 are drawn, and the sample mean calculated each time. What is the probability that, for a given sample, is 21?
The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.
Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.
But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then
Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]
… ≈ Pr[Z < -2.0402]
… ≈ 0.0207
Help help help math math
Answer:
yes
Step-by-step explanation:
x increases by 2, and y increases by 3 consistently
Answer:
No
Step-by-step explanation:
please mark me brainliest
Factor the given expression. 125x^3+521
Answer:
its (5x+8)(25x^2-40x+64
Step-by-step explanation:
Help again please ?? I have 5 more that needs to be answer also ..
(a) 3 2. The seventh number in a sequence of numbers is 31 and each number after the first number in the sequence is 4 less than the number immediately preceding it. The 9th number in the sequence is: (b) 43 (c) 39 (d) 47
Answer:
23 because its supposed to be 8 numbers less
The initial balance of a savings account was $275 Adter which transactions will the balance of the savings account be the same as the initial balance?
A. a withdrawal or $232 followed by a deposit of $132
B. a deposit of $278 followed by a withdrawal of $278
C. a withdrawal of $115 followed by a deposit of $312
D. a deposit of $205 followed by a withdrawal of $317
The transactions that would leave the initial balance the same are a deposit of $278 followed by a withdrawal of $278.
The transactions that would leave the initial balance the same are transactions that net to zero. Withdrawals reduce the balance in the account. Deposits increase the value of the balance in the account.
Option A: Net balance
$275 - $232 + 132 = $175
Option B: Net balance
$275 + $278 - $278 = $275
Option C: Net balance
$275 - $115 + $312 = $472
Option D: Net balance
$275 + $205 - $317 = $163
To learn more about subtraction, please check: https://brainly.com/question/854115
Alexandra was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 13%. What number should she multiply the cost of the meal by to find the total plus tip in one step?
Answer:
x = Total meal cost
y = Total cost-plus tip
113% * x = y
I need help I need help
Answer:
click on image
Step-by-step explanation:
click on the image
Describe what is meant by the operation of division using the terms dividend , divisor , and quotient
Answer:
Dividend: Number on top
Divisor: Number on bottom
Quotient: Answer
Dividend ÷ Divisor = Quotient
Need help finding a domain
Answer:
the domains is
[tex] - 10 < x \leqslant 10[/tex]
QUESTION 20 PLEASE HELPPPP ASAPPPP
Answer: x=-1, y=-8
Step-by-step explanation: solve for the first variable in one of the equations then subsitutte the result into the other equation
I have a red, blue, green, and yellow ball. If I put them all in a bag and pick one ball at a time (putting it back each time), what chance do I have of never picking a red ball, assuming I pick a color 40 times. Write as a decimal/percentage. (20 points! A good answer would be appreciated)
Answer:
Step-by-step explanation:
You have four balls
A draw of blue, green or yellow (3 balls) means success for NOT drawing a red ball
You have a 3 in 4 chance of not drawing a red ball on the first draw.
With replacement, the 3 in 4 chance occurs on every draw
the odds multiply together for each draw.
Chance of not drawing a red ball in 40 tries is (3/4)⁴⁰
or about 1 in 10⁻⁵ or 0.00001
4/7 divided by 1 1/3 =
Answer:
i think probably 3/7 is answer