The area of triangle ABC is 4 root 2. Work out the value of x
Answers
Answer:
x ≈ 2.4
Step-by-step explanation:
Area of the triangle = 1/2 absin theta
Find the diagram of the triangle attached
a = 2x-3
b =x+2
theta = 45°
Substitute and find x
4√2 = 1/2(2x-3)(x+2)sin45
8/√2 = (2x-3)(x+2)(1/√2)
8 = (2x-3)(x+2)
Expand
8 = 2x²+4x-3x-6
2x²+x-6-8=0
2x²+x-14 = 0
x = -1±√1²-4(14)(2)/2(2)
x = -1±√1+112/4
x = -1±√113/4
x = -1+10.63/4
x = 9.63/4
x = 2.4
The value of x is 3.075.
Given that,
The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,
and [tex]\theta[/tex] is 45 degrees.
The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).
We have to determine
The value of x.
According to the question
The area of the triangle is determined by the following formula,
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]
Substitute all the values in the formula
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]
[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]
The value of x can not be negative so the value of x is 3.075.
Hence, The required value of x is 3.075.
For more details refer to the link given below.
https://brainly.com/question/15894203
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1. She a gangster
2. She was robbed
3. That's her ex she f.cked cause he was young
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Find the vertex of the parabola defined by the following equation. 3x^2-12x+11
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Step-by-step explanation:
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Step-by-step explanation:
11y-36=63
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Use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is 66 miles per hour, with a standard deviation of 4 miles per hour. estimate the percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour. (assume the data set has a bell-shaped distribution.)
Answer: 99.7
Answers
Answer:
The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour
P(62≤X≤70) = 68.76
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 66miles per hour
Given that the standard deviation of the Population = 4 miles per hour
Let 'X' be the random variable in normal distribution
Let x= 62
[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{62-66}{4} =-1[/tex]
let x=70
[tex]Z = \frac{70-66 }{4} = \frac{70-66}{4} =1[/tex]
Step(ii):-
The probability that vehicles whose speeds are between 62 miles per hour and 70 miles per hour
P(62≤X≤70) = P(-1≤Z≤1)
= P(z≤1) -P(Z≤-1)
= P(Z≤1)+P(Z≤1)
= 2×P(Z≤1)
= 2×0.3438
= 0.6876
The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour
P(62≤X≤70) = 68.76
The Picture has the answers and the question.
Answers
Answer:
B
Step-by-step explanation:
A bottle holds 48 teaspoons of vanilla. The amount of vanilla remaining in the bottle decreases by 2 teaspoons per
batch of cookies. How much vanilla remains after 12 batches of cookies
Answers
Answer:
24 teaspoons
Step-by-step explanation:
2 times 12 = 24
48 - 24 = 24
You place a 1-dollar bet on the number 17 at Las Vegas, and your friend places a 1-dollar bet on black (see Exercises 1.1.6 and 1.1.7). Let X be your winnings and Y be her winnings. Compare E(X), E(Y ), and V(X), V(Y). What do these computations tell you about the nature of your winnings if you and your friend make a sequence of bets, with you betting each time on a number and your friend betting on a color
Answers
Answer:
E(x) = -$0.05263
E(y) = -$0.05263
V(x) = 0.9972
V(y) = 32.23
the expectations are the same, both will lose the same amount of money if they play for 38 times.
Though Variance is different. The girl betting on colors has little chance to gain and lose but the boy betting on number has huge deviation
Step-by-step explanation:
Given that; you place a 1-dollar bet on the number 17 at Las Vegas and your friend places a 1-dollar bet on black.
Let x represent your winnings and y represent your friends winnings
we know that, There are 18 black slots, 18 red slots and two green slots (0 and 00) on a US roulette wheel.
so, the chances of getting black(red) = 18/38
now, E(y) = (18/38)$1 + (20/38)(-$1)
E(y) = -$0.05263
Now, bets made on the chart of the various numbers 1 to 36 and zero, Just put a chip down in the middle of the square with the number you select. If it comes up, it pays 35-to-1. It is called a straight up bet.
hence, the chance of getting selected number will be 1/38
so E(x) will be;
E(x) = (1/38)$35 + (37/38)(-$1)
E(x) = -$0.05263
So, V(x) will be;
V(x) = [ 1 - (1/19)² ]
= 1 - 0.00277
V(x) = 0.9972
V(y) = { [ (35)² × (1/38) ] - (1/19)² }
= 32.2368 - 0.00277
V(y) = 32.23
Therefore, the expectations are the same, both will lose the same amount of money if they play for 38 times.
Though Variance is different. The girl betting on colors has little chance to gain and lose but the boy betting on number has huge deviation.
How do I go back to my account from Saturday?
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Answer:
Save the password and username of brainly, and the next time it happens you just have to login from the information (password and username) you saved. You won't lose your account then.
Hope this helps you!
Step-by-step explanation:
5 x 4 2/3
GOOD Explain for brainly
Answers
Answer:
23.3
Step-by-step explanation: 5x4 = 20 and 5x 2/3 = 3.3 i hoped i helped
Answer:
Decimal::::::: 23.3333333333
Fraction :)__---------- 23.3333333/10000000000
Step-by-step explanation:
As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So, 23.3/100 = (23.3 x 10)/(100 x 10) = 233/1000. (This fraction is alread reduced, We can't reduce it any further).
Write a story that could represent this math problem.
4x 3/8
Answers
Answer:
id.k im sorry
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!
Answers
You have 2 with mn so 9mn - 9mn =0
You also have 2 with m4n so -19m4n - 12m4n = -31m4n
Put it together:
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So C
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Answers
Answer:
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Answers
Answer:
2/3 is in simplest form, the other three fractions can be reduced
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Answers
Answer:
.c
Step-by-step explanation:
The Kelly Students Council sold holiday swags for $10 for a fundraiser.. They spent $90 on materials to make the swags.. If they want to make at least $400,, how many swags do they need to sell? Write and solve the inequality.
Answers
Answer:
the answer would be 49
Step-by-step explanation:
they need to sell 49 to get their money back and make the 400 dollar goal
8
Fill in the ratio table, where all ratios are equivalent.
А
B
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9
20
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24
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99
Answers
Answer:
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Step-by-step explanation:
what do you have to do??
PLEASE HELP
Consider the expressions (3m+2n−6) and (−4−6m+7n).
Part A
What is the sum of the expressions for n=−2 and m=5?
The sum is
Answers
Answer:
5, -20
Step-by-step explanation:
Given the equation (3m+2n−6) and (−4−6m+7n).
Also, given that we're told that
n = -2 and
m = 5, if we take a rather direct approach by substituting like for like, we have
(3m+2n−6) = (3 * 5 + 2 * -2 - 6)
(3m+2n−6) = 15 - 4 - 6
(3m+2n−6) = 15 - 10
(3m+2n−6) = 5
(−4−6m+7n) = (-4 - 6 * 5 + 7 * 2)
(−4−6m+7n) = -4 - 30 + 14
(−4−6m+7n) = -34 + 14
(−4−6m+7n) = -20
Therefore, we proceed to conclude that the answers are 5 and -20 respectively
What is the median of the following data set?
{13, 18, 13, 14, 13, 16, 14, 21, 13}
A. 13
B. 13.5
C. 14
D. 15
Answers
The median of the data is 14
What is median?The median is the middle number in an ordered data set.
Given:
{13, 18, 13, 14, 13, 16, 14, 21, 13}
First all the data according to ascending order, we get
13, 13, 13, 13, 14, 14, 16, 18, 21
So, the median is the 5th term which is 14.
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Let f(x) = 8x - 7.
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Mr. Marlon pays minimum wage to the cashiers in his store. If minimum wage is $7.25 per hour, how much does a cashier make who works 40 hours per week?
Answers
Answer:
$290
Step-by-step explanation:
Because 7.25×40=290
When completely factored, 8x + 2y - 4
Answers
Answer:...
-4+8x+2xy
Step-by-step explanation:
Write the rational number as a decimal. 7 over 40
Answers
Answer:
0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.
Answer: 0.175
Step-by-step explanation:
Please
All steps
Trigonometry
Answers
Which becomes y=14.2/sin(29) hence =29.28984782 cm. round it as per necessary
C. Assessment
1. Directions: Analyze each problem and write the letter of the correct answer.
1.Five girls went swimming and collected shells at the beach. They collected 28 red shells and 35 pink shells. What was the greatest number of shells per hour if they collected the same number of shells per hour?
A. 5
B. 4
C. 7
D. 2
2. Teacher Marlyn and Teacher Ledgen are planning a field trip for their classes. There are 30 boys and 42 girls in all. The pupils are grouped into Team of Boys and Girls. What is the largest number of pupils in a group having the same number of pupils ?
A. 6
B.5
C. 7
D. 10
3. Ronie bakes 16 biscuits and 24 salvaro. He packs these in boxes. What is the biggest number of biscuits and salvaro he can pack in a box?
A. 2
B.4
C. 3
D.8
Answers
2. A
3. A
All of theses are true
ANSWER ASAP:
Rupesh is mowing grass to save money for a vacation. He charges $12 20
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation?
Answers
Answer:
Step-by-step explanation:
12y + 40 ≥ 148
12y ≥ 108
y ≥ 9
Rupesh must mow at least 9 more yards to have
the $148 he needs.
3х + 4 = 9x - 8
What is the value of X to make the equation true?
Answers
Answer:
x=2
Step-by-step explanation:
Find the value of the power.
7^4 =
Answer:
Answers
Answer:
2401
Step-by-step explanation:
7*7*7*7=2401
Answer:
28
Step-by-step explanation:
Rachel is purchasing a condominium and is financing $485,000 with a 30-year 6/1 ARM at 4.95% with a 1/10 cap structure. What will her payments be at the beginning of year 7?
Answers
Answer: Rachel's payment will be $2,588.78
Step-by-step explanation:
Given that;
Loan amount L = $485,000
number of months n = 30 × 12 = 360
Interest rate per month C = 4.95 / (100 × 12) = 4.95/1200 = 0.004125
Now, using the formula
P = L[ c ( 1 + c )ⁿ / ( 1 + c )ⁿ - 1 )
we substitute
P = 485,000 × [ 0.004125 ( 1 + 0.004125 )³⁶⁰ / ( 1 + 0.004125 )³⁶⁰ - 1 )]
P = 485,000 × [ 0.01815619 / 3.4015 ]
P = 485,000 × 0.0053377
p = 2,588.78
Therefore, Rachel's payment will be $2,588.78
Answer:
$2845.65
Step-by-step explanation:
yurr
Which of these are like terms in the following expression:
3x + 7 + 9x + 24y + 2x2
O 7, 24y
0 3x, 9x
O 3x, -9x
O 3x. -9x, 2x2
Answers
Answer:
The second one (3x, 9x)
Step-by-step explanation:
Like terms are the terms that either have the same variable or have no variable.
3x and 9x are the like terms in the given expression.
The given expression is 3x+7+9x+24y+2x².
What are like terms?Like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Algebraic-like terms are terms that are similar to each other
In the expression 3x+7+9x+24y+2x²
Terms 3x and 9x have the same variables and their exponents also same.
So, 3x and 9x are like terms
Therefore, 3x and 9x are the like terms in the given expression.
To learn more about the like terms visit:
https://brainly.com/question/14557679.
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The average smoker typically pays 15% higher life insurance costs than the average non-smoker. If the monthly cost to a non-smoker is $500 dollars per month, how much would the average smoker pay per month for the same life insurance policy?
a) $500.15
b) $515.00
c) $533.00
d) $575.00
Answers
Answer:
$75
Step-by-step explanation:
The average smoker pay 15% life insurance than the non-smoker
The monthly cost of a non-smoker is $500 per month
Therefore the amount that would be paid by the average smoker in a month can be calculated as follows
= 500 × 15/100
= 500 × 0.15
= 75
Hence the amount to be paid is $75