In ΔIJK, k = 7.2 cm, ∠J=55° and ∠K=67°. Find the length of i, to the nearest 10th of a centimeter.
Answers
Answer:
6.6
Step-by-step explanation:
The length of i is 6.6 units(after the nearest 10th of a centimeter) if in ΔIJK, k = 7.2 cm, ∠J=55°, and ∠K=67°.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle:
As we know the sum of the triangle is 180°
So I = 180 - 55 - 67 = 58°
Applying sin law to calculate the value of i:
[tex]\rm \frac{i}{sin58} = \frac{k}{sin67}[/tex]
[tex]\rm i = \frac{7.3\times sin 58}{sin67}[/tex]
i = 6.633 units ≈ 6.6 units (sin58 = 0.848, and sin67 = 0.920)
Thus, the length of i is 6.6 units(after the nearest 10th of a centimeter) if in ΔIJK, k = 7.2 cm, ∠J=55°, and ∠K=67°.
Learn more about the triangle here:
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Related Questions
Karen pumped 7 gallons of water out of her pool each minute for 28 minutes. What was the total change in the amount of water in the pool?
Answers
(Is this what you were asking?)
The figure shows the dimensions of a backyard
Find the area
8 yd
eccles
30 yd
15 yd
30 yd
The area of the backyard is
square yards.
Answers
570yd^2
step by step:
Split the backyard into 2 different rectangles and add the areas together. I did 8x30 and 15x22.
Explaining: The area can be found by using the base and the height. Fist I will split the figure into two piece to make it easier to find. The first piece is solved by 30•15=450. The second figure can be solved by 8•15=120. Now add the total numbers together and you get 570yd^2
Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.Which of the following is the correct interpretation of the pp-value?If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.A. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.C. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.D. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
Answers
Answer:
B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Step-by-step explanation:
Null hypothesis:
H0: The population proportion B = population proportion A
Alternative hypothesis:
H1: The population proportion of B > population proportion A
The P value, also called calculated probability, is that of getting test results which are at least as extreme as the results which were observed in a Statistical test. We assume the null hypothesis to be true.
Therefore if the population proportion of B = A (H0 is true), then we conclude that the probability of observing a difference of at least 0.15 is = 0.34.
I dance I sing I am perfect I am I am a believer that I am a discoverer. PLEASE ANSWER I'LL MARK AND BRAINLIEST
Answers
Answer:
not sure if its a song or not but you do you, gg <3
Answer:
YAZZ You are amazing :> remind yourself everyday!!!
Find the interest rate. You are borrowing $1,310 for 10 years and you are penalized $655 in interest.
Pls Help
Answers
Answer:
5%
Step-by-step explanation:
I (simple interest) = $655
P (principle) = $1,310
R (interest rate) = ?
T (time) = 10
I = PRT
655=(1,310)r(10)
655 = 13,000•r
13,100 13,100
r • 0.05
0.05 converted to percent is 5%
The three sides of a triangle measure 4, 13, and n. What is the range of possible lengths of n?
Answers
Answer: if those are the smaller parts then the other side has to be as big as the 2 together or more and if the 13 is the biggest part the other has to be something plus the 4 that makes 13 or more
Step-by-step explanation:
Answer:
the possible lenths are 13 or more
Test test 123 123 12345678
Answers
Answer:
test test 9101112131415
Answer:
Answer answer 233 234 23456789
Step-by-step explanation:
is that right.......:)
Assume you are buying a $15,000 car, with a 12 month loan at 5% interest, a net down payment of $2,500, and
a $40 (non-taxable) fee with 6% in sales tax.
What will be your monthly payment?
A. Between $1000 and $1049
B. Between $1050 and $1099
C. Between $1100 and $1149
D. Between $1150 and $1200
Answers
At 1 P.M., the total snowfall is 5 centimeters. At 4 P.M., the total snowfall is 16 centimeters. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
Answers
Answer:
Mr. Snowbully
Step-by-step explanation:
I think the mean hourly snowfall is named Mr. Snowbully
It's a funny name!
Well, the snow would grow at a rate of 4 cm every hour so...
4
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?
Answers
Answer:
(a) (log X - log 25000)/log 0.85 = t
(b) about 9.9 years
Step-by-step explanation:
(a) Let X = value and t = elapsed years since purchase; X in dollars
X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year
(If you lose 15% of value, you have 85% left, right?)
So if you do it for t years, you have t as the exponent on the 0.85 factor.
[tex]X = 25000(0.85)^t[/tex] is a good equation, but not logarithmic like they ask.
[tex]log X = log 25000 + log [(0.85)^t][/tex] because the log of a product is the sum of the logs of the factors
log X = log 25000 + t*log 0.85 because the log of a power is power times log
log X - log 25000 = t* log 0.85 just algebra, subtracting from both sides
(log X - log 25000)/log 0.85 = t just algebra, dividing both sides
(b) If we let X = $5000
t = (log 5000 - log 25000)/log 0.85
= (3.69897 - 4.39794)/-0.07058
= 9.90
So t = 9.9 years is a good estimate
Carl will have approximately 5.06 years until his new car is worth about $5000.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let V(t) be the value of the car t years after it was purchased.
We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:
[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]
Simplifying this equation, we get:
[tex]V(t) = 25000 \times 0.85^t[/tex]
Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.
We can set V(t) equal to x and solve for t:
[tex]25000 \times 0.85^t = x[/tex]
log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)
Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:
[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)
Divide both sides of the equation by log0.85(0.85) = 1:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
b) We want to find the number of years it will take for the car to be worth $5000.
Substituting x = 5000 into the formula derived in part (a), we get:
t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)
t = 5.06
Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.
To learn more on Equation:
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How to figure out diameter
Answers
Answer:
If you are given the area of a circle, the diameter is equal to the square root of four times the area divided by pi (diameter = √ (4 x area) / pi).
Answer:
A diameter of a circle is twice its radius!
Hope that helps!
Step-by-step explanation:
⚠️⚠️⚠️PLZZZ HELP ⚠️⚠️⚠️Which shows a reflection over the x-axis?
Answers
Answer:
option #1 is a reflection over the x-axis.
Step-by-step explanation:
option #1 is a reflection over the horizontal axis, which is the x-axis. the end of the bold horizontal line in the middle of the graph (the one that goes from side to side) is labeled with an "x" which indicates that it's the x-axis.
option #2 is a reflection over the vertical axis, which is the y-axis. the top of the bold vertical line in the middle of the graph (the one that goes up and down) is labeled with a "y" which indicates that it's the y-axis.
option #3 is not a reflection over either of the axes. it actually seems to be a rotation rather than a reflection.
i hope this helps! have a lovely day <3
Answer: First option
Step-by-step explanation:
The table below represents values of f(x) for selected values of x.
-4 -2 2 4
x
-4
O
8
12
The linear function g(x) is shown in the coordinate plane below.
Which statement is true?
The function f(x) has a greater rate of change than the function g(x).
The function g(x) has a greater rate of change than the function f(x).
The function g(x) has a greater x-intercept than the function f(x)
The function g(x) has a greater y-intercept than the function f(x).
Answers
Answer:
The function g(x) has a greater x- intercept than the function f(x)
Step-by-step explanation:
3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method
Answers
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2 /5
Step: Substitute 2/ 5 for x in y=4x−6:
y=4x−6
y=4 ( 2/ 5 ) −6
y= −22 /5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
Find the y-intercept of the line on the graph.
Enter the correct answer.
10 POINTS
Answers
It is where the line touches or crosses the y axis
Given that 5x - 8y = 33 find x when y = 1
Answers
Answer:
x = ⁴¹⁄₅ or 8.2Explanation:
5x - 8y = 33
y = 1
Insert 1 for 'y' in the equation
5x - 8(1) = 33
Remove parenthesis: (a) = a
5x - 8 · 1 = 33
Multiply 8 · 1: 8
5x - 8 = 33
Add 8 to both sides
5x - 8 + 8 = 33 + 8
Simplify
5x = 41
Divide both sides by 5
5x / 5 = 41 / 5
x = ⁴¹⁄₅
Turn the fraction into a decimal
x = 8.2
At a drug rehab center 40% experience depression and 28% experience weight gain. 11% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)
a. experiences neither depression nor weight gain.
b. experiences depression given that the patient experiences weight gain.
c. experiences weight gain given that the patient experiences depression.
(round to 4 decimal places)
d. Are depression and weight gain mutually exclusive?
yes
no
e. Are depression and weight gain independent?
no
yes
Answers
Using probability concepts, it is found that:
a) 0.43 = 43% probability that the patient experiences neither depression nor weight gain.
b) 0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.
c) 0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.
d) No.
e) No.
---------------------
Conditional probability is an important part of the exercise.The formula is:[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
P(B|A) is the probability of event B happening, given that A happened. [tex]\mathbf{P(A \cap B)}[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.----------------------
40% experience depression, thus [tex]P(A) = 0.4[/tex]28% experience weight gain, thus [tex]P(B) = 0.28[/tex]11% experience both, thus: [tex]P(A \cap B) = 0.11[/tex]Item a:
The probability of experiencing at least one of them is:[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.4 + 0.28 - 0.11 = 0.57[/tex]
The probability of none is:[tex]p = 1 - P(A \cup B) = 1 - 0.57 = 0.43[/tex]
0.43 = 43% probability that the patient experiences neither depression nor weight gain.
Item b:
This probability is: [tex]P(A|B)[/tex].Using conditional probability:[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.11}{0.28} = 0.3929[/tex]
0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.
Item c:
Similar to b, thus:[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.11}{0.4} = 0.275[/tex]
0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.
Item d:
[tex]P(A \cap B) \neq 0[/tex], thus, the events are not mutually exclusive.
Item e:
We have that: [tex]P(A \cap B) = 0.11[/tex]Also: [tex]P(A)P(B) = 0.4(0.28) = 0.112[/tex][tex]P(A \cap B) = P(A)P(B)[/tex], thus, the are not independent.A similar problem is given at https://brainly.com/question/21421475
a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?
Answers
Answer:135000
Step-by-step explanation:
Answer:
The field has an area of 135,000 m².
Step-by-step explanation:
We first convert the measurements from kilometers to meters by multiplying by 1000.
- - - - - - - - - - - - - Length: 0.45 km = (0.45 × 1000) m = 450 m.
- - - - - - - - - - - - - Width: - - 0.3 km = (0.3 × 1000) m = 300 m.
So the field is a rectangle 450 meters long and 300 meters wide.
To compute the are of this rectangle, we multiply its length by its width.
- - - - - - - - - - - - - - Area = 450 × 300 = 135,000 m².
so the answer is 135,000 m².
If the length of the base of a rectangle is increased by 30 percent but the length of the altitude is decreased by 40 percent, by what percentage is the area changed?
Answers
i think a picture with help
Solve the equation by balancing 3n+2=17
Answers
Answer:
3n=17-2
3n=15
n=15/3
n=5
Step-by-step explanation:
therefore putting the value of n=5 the equation can be balance
un autobús A hace recorrido cada 8 días y otro autobús B lo hace cada 10 días. Si coinciden en su salida en la central de autobuses el día 20 de noviembre ¿Cuando volverán a coincidir??
ayuda por favor es para hoy
Answers
Answer:
R/= se volveran a encontrar el 30 de diciembre
Step-by-step explanation:
voy a sacar el m.c.m :
8 10 =2
4 5 =2
2 5 =2 2x2x2x5= 8x5 =40
1 5 = 5
1 1 =
what is the quotient of x^2 + 7x +12 and x +4?
Answers
Answer:
The Answer/Quotient is x+3
A deck of cards contains red cards numbered 1,2,3, Blue cards numbered 1,2,3,4,5,6, and green cards numbered 1,2. If a single card is picked at random, what is the probability that the card is not green? Provide the final answer as a fraction?
Answers
Answer:
[tex]\frac{9}{11}[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have:
3 red cards
6 blue cards
2 green cards.
What is the probability that the card is not green?
3 + 6 + 2 = 11 cards, of which 3 + 6 = 9 are not green. So
[tex]\frac{9}{11}[/tex] probability that the card is not green
Landen has his daily video gaming time each day for 7 days. But one day he plays and extra 50 minutes. His total video playing time for the week was 540 minutes. How long is his daily video playing time? Choose the equation that describes this word problem.
Answers
Answer:
im thinking 25 or 24
Step-by-step explanation:
sorry if i made you get it wrong
What is the quotient? (32h12 – 48h18) ÷ –16h6
32h12 + 3h12
–2h18 + 3h24
32h12 + 3h24
–2h6 + 3h12
Answers
The quotient of this mathematical expression (32h12 – 48h18) ÷ –16h6 include the following: D. –2h6 + 3h12.
What is a quotient?In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
By writing the given mathematical expression as a division of a number (numerator) by another number (denominator), we have the following:
Quotient = (32h12 – 48h18)/–16h6
Quotient = -2h6 - (-3h12)
Quotient = –2h6 + 3h12.
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I need help, Please help me.
Answers
Answer:
Yes, SSS
Step-by-step explanation:
Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.
Jeremy bought 3 pairs of pants for $68.25. Each pair of pants cost the same amount. How much will he pay for 5 pairs of pants at the same price per pair?
$170.63
$341.25
$113.75
$22.75
Answers
Answer:
113.75
Step-by-step explanation:
A wave has frequency of 10 Hz and a speed of 30 m/s. What is the wavelength of the
wave?
Answers
Answer:
[tex]\lambda = 3[/tex]
Step-by-step explanation:
Given
[tex]v = 30m/s[/tex]
[tex]f = 10\ Hz[/tex]
Required
Determine the wavelength [tex]\lambda[/tex]
This is calculated as:
[tex]\lambda = \frac{v}{f}[/tex]
Substitute values for v and f
[tex]\lambda = \frac{30}{10}[/tex]
[tex]\lambda = 3[/tex]
Hence, the wavelength is 3
Booneville Theater sold 1,330 tickets to Shakespearean plays last season. This season, the
theater sold 40% more than that tickets to Shakespearean plays. How many such tickets did
the theater sell this season?
Answers
Answer:
1862 tickets.
Step-by-step explanation:
1330 increase 40% =
1330 × (1 + 40%) = 1330 × (1 + 0.4) = 1862
Question 5 of 12
The orthocenter of a triangle may lie outside the triangle since the
may not intersect any side of the triangle.
A. angle bisector
B. perpindicular bisector
C. altitude
D. median
SUBMIT