Answer:
we have :
(a+b+c)² = a² + b² + c² + 2(ab+bc+ca)
a+b+c= 9
and
ab+bc+ca = 26
Substituting the values in the above formula,
We get,
9² = a² + b² + c² + 2×26
81 = (a² +b² +c²) + 52
(a² +b²+c²) = 81-52
(a²+ b² + c²) = 29 is a required answer.
How do the angles and sides of the outline correspond to the angles and sides of the original triangle?
The Angles and sides of the outline correspond to the angles and sides of the original triangle is done as below.
What are corresponding sides and angles?Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes.
Given:
For Corresponding Angle
The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same colour.
Form Corresponding Side
If two triangles are similar and have sides A, B, C and a, b, c, respectively, then the pair of corresponding sides are proportional,
i.e., A : a = B : b = C : c.
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Need help on this one...
Suppose a city with a population of 800,000 has been growing at a rate of 8% per year if the street continues find population of the city in 11 years
Answer: 1,865,311 people in 11 years
800,000(1+.08)^11
1,865,311 population in 11 yeas
How do you read FG stats?
Field goal stats include number of made/attempted, percentage made, average points scored per made, total points scored/attempted, and possibly rebounds, assists, turnovers.
FG (field goal) stats are a way of measuring an individual or team's performance in the sport of basketball. Generally, the stats will include the number of field goals made, the number of field goals attempted, the percentage of field goals made, the average number of points scored per field goal made, the total number of points scored, and the total number of points attempted. This data can be used to compare different players or teams, or to track a player or team's performance over time. Depending on the context, other stats such as rebounds, assists, and turnovers may also be included. This data can help coaches, scouts, and analysts make decisions and evaluate performance. Ultimately, it is important to use field goal stats in combination with other data and context to create an accurate picture of a player or team's performance.
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Help please I need help !!!
Answer:
with what nothing here to help you with. so is there an actual question you need help with?
Please help me, find the area to figure around to the nearest hundredth necessary.
What is the quotient? for 692 divided by 16
Answer:
43.25
Step-by-step explanation:
the distance between two towns is 120 km there are approximately 8 km in five miles which measurement is closest to the number of miles between these two towns
Answer:
about 75
Step-by-step explanation:
willl mark you brainlieestttt
Answer:
C
Step-by-step explanation:
Answer:
- 7√10
Step-by-step explanation:
Step 1 : Take √10 common
2√10 - 5√10 - 4√10
= √10 ( 2 - 5 - 4 )
Step 2 : Subtract the numbers separately.
2 - 5 - 4
= 2 - 9
= - 7
Step 3 : Multiply √10 and - 7
√10 * - 7 = - 7√10
Does a quadratic graph have an inverse?
The inverse of a quadratic graph is a square root function. To graph the inverse, we reverse the domain and range.
What is a quadratic graph?The curve-shaped graph of a quadratic function is known as a parabola. The vertex of a parabola is one of its focal points.
On the graph, it is either the highest or lowest point.
We can imagine it as the parabola's endpoint.
A square root function is the inverse of a quadratic function.
We switch the domain and range in order to graph the inverse.
The graph has the same structure but has been rotated to have the original function's domain and range switched.
Therefore, the inverse of a quadratic function is a square root function. To graph the inverse, we reverse the domain and range.
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Autumn is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Number of years
1
2
3
Car 1 (value in dollars)
38,000
32,000
26,000
Car 2 (value in dollars)
38,000
32,300
27,455
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)
Part C: Autumn wants to purchase a car that would have the greatest value in 6 years. Will there be any significant difference in the value of either car after 6 years? Explain your answer, and show the value of each car after 6 years. (4 points)
(10 points) ALGEBRA 1 only
Car 1
26000 - 32000 = 32000 - 38000 = -6000Since the difference is common this is a linear functionCar 2
32300/38000 = 27465/32300 = 0.85Since the ratio is common this is an exponential functionPart BCar 1
V(x) = 38000 - 6000xCar 2
V(x) = 38000*0.85ˣPart CFind V(6) for both cars and compare
Car 1
V(6) = 38000 - 6*6000 = 2000Car 2
V(6) = 38000*0.85⁶ = 14331.68As we see the difference is significant and car 2 has much greater value
The sum of the interiors angle of any polygon is 360°
Answer:
It depends on the # of sides
3 sides = 180 degrees
4 sides = 360 degrees
5 sides = 540 degrees
6 sides = 720 degrees
7 sides = 900 degrees
8 sides = 1080 degrees
9 sides = 1260 degrees
10 sides = 1440 degrees
What is the missing length?
Help
Answer:
5 in. the answer lies in the Pythagorean theorem
Answer:
5
Step-by-step explanation:
using Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
a and b are sides
c is the hypotenuse
in this case we need a side:
[tex]a^2+12^2=13^2\\a^2 + 144 = 169\\[/tex]
subtract 144 from 169
[tex]a^2=25\\\sqrt{a} ^{2} = \sqrt{25}[/tex]
so a = 5
THE ANSWER IS 5 :)
please help, please, i really need help...
What type of counting problem is this?
How many different sequences of 3 playing cards (from a single 52-card deck) exist?
a. Permutation without repetition
b. combination with repetition
c. Combination without repetition
d. Permutation with repetition
Answer:
combination with repetition
Step-by-step explanation:
Find value of c
[tex]48c+ 6 = 408 \div 4[/tex]
Answer:
2
Step-by-step explanation:
408 / 4 = 102
48c + 6 = 102
48c = 102 - 6
48c = 96
c = 96/48
c = 2
Hence, the value of c is 2.
Answer:
[tex] \sf \: c = 2[/tex]
Step-by-step explanation:
Given equation,
→ 48c + 6 = 408 ÷ 4
Now the value of c will be,
→ 48c + 6 = 408 ÷ 4
→ 48c + 6 = 102
→ 48c = 102 - 6
→ c = 96 ÷ 48
→ [ c = 2 ]
Hence, the value of c is 2.
What is the image of (-5,-8) after a reflection over the y-axis
Just asking. How are we supposed to answer this without some sort of picture with a graph or something? :/
Answer:
(-5,-8) reflected over the y-axis turns to (-5,8)
rectangular prism: length 16 feet, width 12 feet, height 42 feet
The cost price of an article is Rs
4500, find its selling price with
20% profit*
with the formula,
PROFIT=SP-CP/CP×100
the answer is
Rs 5400
therefore, Rs.5400 is the selling price.
Which of the following are irrational numbers?
Choose two correct answers.
3.05
√17
√27
√81
Answer:√17
√81
√27
This 3 numbers are irrational number
Answer:
17 and 27 are irrational
Step-by-step explanation:
pleaase someone help me !
How much would you have to repay on a credit card debt of 3500$ after 2-years if the interest rate is 19.5% compounded half-yearly .
Answer:
$ 4,865
Step-by-step explanation:
First find the simple intere
Answer:
P = A (1 + i)^n where P is the payment, A the original amount and i the interest rate for the payment period.
Assuming .195 is the annual interest rate then
i = .195 / 2 = .0975 the rate that will be compounded every 6 mos.
P = 3500 * (1 + .0975)^4 = $5078
Write each expression with a single exponent:
Answer:
a. 10^12
b. 10^5
c. 10^17
d. 10^6
e. 10^17
f. 10^18
Step-by-step explanation:
just add the exponents together and keep the base
Law of Sine.
Find the measure of the indicated angle. Need help please.
I need explanation too- thank you!
NO LINKS...I WILL REPORT YOU
Answer:
Bc=20
Step-by-step explanation:
Sin61=BC/AC=BC/23
BC=23sin61=20
A car dealer offers 5%
off the invoice price of
a new car. A customer
buys a car with an in-
voice price of $24,500.
How many dollars does
the customer save?
Helppp
Answer:
$1225
Step-by-step explanation:
You have to multiple 24,500 by .05
Answer:
The customer saves $1,225.
Step-by-step explanation:
Find 5% of $24,500. This is done by writing the decimal fraction 0.05 and multiplying $24,500:
0.05($24,500) = $1,225
The customer saves $1,225.
the monthly cost for 43 min is $17.96 and the monthly cost for 94 min is $24.72 what is the monthly cost for 88 min
Therefore , the solution to this problem of equation is y = 16.95 cost for 94 minutes.
Explain the equation.A mathematical equation is a formula that links two statements by indicating their equivalence with the equal sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The relationship between two sentences on either side of a letter is expressed mathematically. There is frequently only one variable, which doubles as the symbol. say that 2x - 4 Equals 2.
Here,
y = mx + b
(50,13.98)(78,17.06)
slope = (17.06 - 13.98) / (78 - 50) = 3.08 / 28 = 0.11
slope(m) = 0.11
use either of ur points...(50,13.98)...x = 50 and y = 13.98
now sub into the formula and find b, the y int
13.98 = 0.11(50) + b
13.98 = 5.5 + b
13.98 - 5.5 = b
8.48 = b
so our equation is : y = 0.11x + 8.48.......for 94 minutes...sub in 77 for x
y = 0.11(94) + 8.48
y = 8.47 + 8.48
y = 16.95 <=== this is the cost for 94 minutes
Therefore , the solution to this problem of equation is y = 16.95 cost for 94 minutes.
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Refer to the graph What conclusion can you make about the relationship between the number of items sold i and the
amount of profit earned p?
A. There is no relationship between the number of items sold and the amount of profit earned
B. There is a nonproportional relationship between the number of items sold and the amount of profit earned.
C. There is a linear relationship between the number of terns sold and the amount of profit earned
D. The number of items sold is equal to the amount of profit
Answer:
Should be C
Hope it helps :)
11. A. Four times a breadth of the room is equal to 3 times the length. If the breadth had been
1 meter more and the length 1 meter less the room would have been a square. Find the
dimension of room.
The length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4
Let's call the original breadth of the rectangle "b" and the original length of the rectangle "l". From the information given, we know that:
4b = 3l
We also know that when the breadth is increased by 1m and the length is reduced by 1m, the rectangle becomes a square. Therefore, the new breadth and new length are equal. Let's call the new breadth and length "s".
s = b + 1 = l - 1
We can substitute the first equation into the second equation to get:
s = b + 1 = (3l/4) - 1
Now we can solve for s:
s = b + 1m = (3l/4) - 1m
s = (3l/4) - 1m + 1m = (3l/4) = l - 1m
Now we can substitute this back into the first equation:
4b = 3(l - 1m)
We can now solve for b:
4b = 3l - 3m
b = (3l/4) - (3m/4)
Therefore, the original breadth of the rectangle was (3l/4) - (3m/4) and the original length was 3l/4.
We can find the value of length and breadth by substituting the value of s in the first equation
4s = 3l
s = 3l/4
So, the length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4
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please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
16/63
Step-by-step explanation:
what is the value of the expression below when b = 8.5?
14b
A. 22.5
B. 112.5
C. 119
D. 119.5
Solve the system of equations.
−5x+8y=0
-7x-8y=-96
Answer:
-5x+8y-7x-8y=-96
-12x =-96
X= 8
if X=8,
(-5×8)+8y=0
8y=40
y=5
x=8
y=5
[tex] \huge{ \mathrm{ \underline{Answer :}}}[/tex]
The given equations are : -
−5x + 8y = 0 - [1]
-7x - 8y = -96 -[2]
Add the equations :[tex]\mathrm{- 5x + 8y + (- 7x - 8y) = 0 + (- 96)}[/tex][tex]\mathrm{- 5x + 8y - 7x - 8y = - 96}[/tex][tex] - 12x = - 96[/tex][tex]x = 8[/tex]_____________________________
plugging value of x in [1] :[tex] - 5x + 8y = 0[/tex][tex]( - 5 \times 8) + 8y = 0[/tex][tex] - 40 + 8y = 0[/tex][tex]8y = 40[/tex][tex]y = 5[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Finding zeros of this equation
Answer:
01?
Step-by-step explanation:
I didn't see a picture so maybe just one
2x + 4y = -16
solve for y
Answer: y = -1/2x -4
Step-by-step explanation:
To solve for y, subtract 2x on both sides
2x-2x + 4y = -16 - 2x
Simplify
4y = -16 - 2x
Divide by 4 on both sides to get y by itself
4y/4 = -16 - 2x/4
Simplify
y = -4 - 1/2x
Switch the right-side terms to write them in slope-intercept form
y = -1/2x -4