solve for x
19.
20.
21.
22.
23.
24.
Answer:
I hope I helped sorry l didn't understand question number 19
A triangle has vertices at (-2,-3),(4, -3), and (3,5). What is the area of the triangle?
Answer:
this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)
=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]
using Heron theorem, we have:
[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]
with S is the area of the triangle
[tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]
Step-by-step explanation:
Area of the triangle with given vertices is equals to 24 square units.
What is Area?"Area is the surface which represents the total space occupied by any two dimensional object."
What is triangle?"Triangle is a polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."
Formula used
In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)
Area of a triangle = [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]
According to the question,
Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)
Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]
= [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]
= 24 square units
Hence Area of the triangle with given vertices is equals to 24 square units.
Learn more about Area of the triangle here
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What is ( 2 ⅓ * x ) + x?
Answer:
10x/3
Step-by-step explanation:
10x/3.............................
Jack was 14 years older than Priscilla. Together their ages totaled 158 years. What were their ages?
Answer:
Jack's age: 86, Priscilla's age: 72
Step-by-step explanation:
Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.
Answer:
Jack is 86 years old,
and Priscilla is 72 years old
Step-by-step explanation:
j = Jack
p = Priscilla
j - 14 = p $\Rightarrow$ j = p+14
j+p = 158
By subsituting the value of j ( first equation) into the second equation, we get:
p+14+p = 158
2p+14 = 158
2p = 144
p = 72.
So, j = 86
what is the equation for the line shown? picture attached.
the diameter of a gigantic Ferris wheel is 185 meters. if a man rides a ferris wheel for one revolution find how far he travels give the exact answer and the approximation using 3.14 for pi
Answer:
Step-by-step explanation:
You need to find out the circumference of the Ferris wheel
C=d*3.14=185*3.14=580.90 m
What is the solution to the equation?
Answer:
C- t=411
Step-by-step explanation:
there is this really cool site/app called
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mr chowdhary purchased a house for rs 6.1 lakh and spent 30000 on its repairs. he then sold it rs 8 lakh. find his gain percent
Given:
Purchasing price = 6.1 lakh
Amount spent of repair = 30000
Selling price = 8 lakh
To find:
The gain percentage.
Solution:
We have,
Purchasing price = 6.1 lakh
Amount spent of repair = 30000 = 0.3 lakh
So, total cost price is
[tex]C.P.=6.1+0.3[/tex]
[tex]C.P.=6.4[/tex]
The total cost price is 6.4.
Selling price(S.P.) = 8 lakh
Now,
[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]Gain\%=\dfrac{8.0-6.4}{6.4}\times 100[/tex]
[tex]Gain\%=\dfrac{1.6}{6.4}\times 100[/tex]
[tex]Gain\%=\dfrac{1}{4}\times 100[/tex]
[tex]Gain\%=25\%[/tex]
Therefore, the gain percent is 25%.
what is 3 over 40 written as a decimal ?
Answer:
0.075
Step-by-step explanation:
3/40 = 0.075
hope it help u
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Which of these situations would follow the general rule for basis of inherited property?
Louis died on August 12, 2019, leaving his house to his sister, Etty.
On August 15, 2018, Leroy gave his brother Ralph appreciated stock. Leroy's brother Ralph died on February 16, 2019. Ralph's only heir was Leroy.
Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
Janet died on January 1, 2019. At that time, she had an IRA with a balance of $32,640. She named her daughter, Emily, as the beneficiary of her IRA.
Amon the following situation 2 cases follow the general rule for basis of inherited property
Given , Statements of inheritance.
1. Louis died on August 12. 2019 leaving his house to his sister, Etty.
This is a case of inheritance of property as it justifies conditions of the definition of Inheritance of Property i.e Louis died and as a consequence his property is transferred to his sister which is her relative as per law. So, this is a valid case of inheritance. Even a person can transfer his property to some unrelated person, if he so mentions in his will.2. On August 15, 2018, Leroy give his brother Ralph appreciated stock. Leroy's brother died on February 16, 2019, Ralph's only heir was Leroy.
In this case, transfer of stock from Leroy to Ralph is outside the definition of inheritance, since Leroy was not died at that time. On second instance, when stock was transferred to Leroy after Ralph death in February 2019. It is a case of inheritance but it is the case of inheritance of stock, not inheritance of property. Stock of a company is not considered a property.3.Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
A 401(k) plan is a retirement savings account that allows an employee to divert a portion of his or her salary into long-term investments. The employer may match the employee's contribution up to a limit.This is also a case of inheritance but not the case of inheritence of property. Retirement Savings account is not considered as property.
4.Janet died January 1, 2019. At that time, she had a IRA with balance of $32640. She named her daughter, Emily, as the beneficiary of her IRA.
This is also a case of inheritance but not the case of inheritence of property. IRA (Individual Retirement Account) is not considered as property.Know more about inheritance of property,
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On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Answer:
the proportion of workers from company B who purchsed coffee was pˆC=0.75
Step-by-step explanation:
Answer: pˆC=0.75
Step-by-step explanation:
Evaluate:
65−15÷5 +(−19)
Answer:
43
Step-by-step explanation:
65-15/5+(-19)
65-3+(-19)
62-19=43
A jet plane can carry up to 200,000 liters of fuel. It used to 130,000 liters of fuel during a flights. What percentage of the fuel capacity did it use on this flight?
28 decreased by 2.6%
Answer:
Please check the explanation.
Step-by-step explanation:
Given
28 decreased by 2.6%First we need to determine the percentage decrease such as:
Percentage decrease = 2.6% of 28
= 2.6/100 × 28
= 0.026 × 28
= 0.73
New value can be determined using the formula
New vaue = 28 - percentage decrease
= 28 - 0.73
= 27.27
2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned $12,445. He also earned $56,002
working for CCD Communications. Each employer took out 6.2% for Social Security. How much did Robert pay in Social Security?
Answer:
Robert paid $4,603.6 in Social Security.
Step-by-step explanation:
Robert total earnings:
$5,805 at Young's Grocery.
$12,445 at A&B Restaurant.
$56,002 at CCD Communications.
So his total earnings are of:
5805 + 12445 + 56002 = $74,252
How much did Robert pay in Social Security?
6.2%, that is, 0.062 of $74,252. So
0.062*74252 = $4,603.6
Write a function rule for "The output is half of the input x."
Answer:
[tex]y = \frac{x}{2}[/tex]
Step-by-step explanation:
Functions:
Functions have the following format:
y = f(x)
In which y is the output, x is the input, and f is the relation between them.
In this question:
The output is half of the input x. This means that:
[tex]y = \frac{x}{2}[/tex]
Functions can be represented using equations and mathematical statements
The function rule is y = 0.5x
The statement is given as:
The output is half of the input x."
Let the output be y.
So, we have:
y = 0.5 * x
Evaluate the product
y = 0.5x
Hence, the function rule is y = 0.5x
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11. Twyla and Tony have a 30/5 balloon mortgage for $389,900 with a rate of 4.85%. How much will they pay in interest over the life of the loan? (3 points)
O $81,373.41
$92,263.82
O $107,536.50
O $121,390.73
Answer:
Explanation:
Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.
Given mortgage loan value of $389900
Interest rate of 4.85%
We are asked to calculate the interest over the life of the loan.
We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900
Formula for constant payments :
A= P×r×r(1+r)^n/(1+r)^n-1
Where A= constant/monthly payments
r= interest rate on the mortgage loan
n= number of payments = 30×12= 360
P= mortgage loan given
A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1
=$389900×0.0485×1231340.79/25388468.94
=$389900×0.0485×0.04850
A= $917.142
Payment for five years(with interest)= $917.142×60= $55028.52
Calculate balloon payment:
FV= PV(1+r)^n - P((1+r)^n-1/r)
Where FV= future value of balloon payment
PV= initial loan given
r= interest rate on loan
n= number of payments
P= monthly payments
Substitute:
FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)
=$389900×1.2738-917.142(0.2738/0.004041)
=$389900×1.2738-917.142×67.756
= 496654.62-62141.87
FV = $434512.75
Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52
=
A week have five school days and two weekend days. Write as ratio
Answer:
5:2
Step-by-step explanation:
write 56
as the product of prime factors
[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]
Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?
Step-by-step explanation:
Difference of Squares: a² - b² = (a + b)(a - b)
(x² - 16) / (x - 4)
= [(x + 4)(x - 4)] / (x - 4)
= x + 4, where x =/= 4.
Answer:
1. (x+4)
2. 4
Step-by-step explanation:
got right on edge
Find the percent of a number 20% of 155
Hey there!
[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]
[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{Amphitrite1040:)}[/tex]
(a) What is wrong with the following equation? x2 + x − 42 x − 6 = x + 7 (x − 6)(x + 7) ≠ x2 + x − 42 The left-hand side is not defined for x = 0, but the right-hand side is. The left-hand side is not defined for x = 6, but the right-hand side is. None of these — the equation is correct. (b) In view of part (a), explain why the equation lim x → 6 x2 + x − 42 x − 6 = lim x → 6 (x + 7) is correct. Since x2 + x − 42 x − 6 and x + 7 are both continuous, the equation follows. Since the equation holds for all x ≠ 6, it follows that both sides of the equation approach the same limit as x → 6. This equation follows from the fact that the equation in part (a) is correct. None of these — the equation is not correct.
Answer:
Attached please find answer
Step-by-step explanation:
= (x² + x - 42) / (x - 6)
= [x² + (7x - 6x) - 42] / (x - 6)
= [x² + 7x - 6x - 42] / (x - 6)
= [(x² + 7x) - (6x + 42)] / (x - 6)
= [x(x + 7) - 6(x + 7)] / (x - 6)
= [(x + 7)(x - 6)] / (x - 6)
= x + 7 → when x approches 6
= 6 + 7
= 13
Other method:
Lim (x² + x - 42) / (x - 6)
x→ 6
When x → 6, there is an indeterminate expression because: 6 - 6 = 0
Do you know the l'Hôpital's rule, when x → a:
Lim [ f(x) / g(x) ] = Lim [ f'(x) / g'(x) ]
f(x) = x² + x - 42
f'(x) = 2x + 1
g(x) = x - 6
g'(x) = 1
= f'(x) / g'(x)
= (2x + 1)/1
= 2x + 1 → when x approches 6
= 12 + 1
= 13
Can someone please help me Im so stressed out .
Answer:
38 students chose to fly
Step-by-step explanation:
add the female and male
Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.
Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.
Please help, I will give brainliest, I am struggling badly.
Answer: y = 5/2x - 4
Step-by-step explanation:
the equation is y = ax + b (a ≠ 0)
because the slope of the line is 5/2 => a = 5/2
the line passes through (0; -4) => -4 = b
=> the equation is y = 5/2.x - 4
What would this be??????
Answer:
I think it's the second one(200(1.034)t = 250)
Step-by-step explanation:
if not correct me. or try the third one.
If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?
Answer:
y=20x+10
Step-by-step explanation:
You start with $10, so this will be added on, and is not affected by the number of months.
You add $20 each month, so the 20 is dependant on x.
ANSWER: y=20x+10
plz plz plz
i am running out the time
Answer:
mode:7
range:8
Step-by-step explanation:
mode is the most repeated number
range is the greatest -smallest number
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
Answer:
B. -84Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84
last question:) thanks guys
Answer:
5/12
Step-by-step explanation:
Probability of getting either heads or tails of a coin : 1/2
Probability of getting 1,2,3,4, or 6 on a dice: 5/6
Multiply those two probabilities : 1/2 * 5/6 = 5/12
You have a 5 out of 12 chances of getting heads on a coin AND any number but a 5 on a dice.
Hope this helps!
