Answers
Answers:
scaleneisoscelesscalene=======================================================
Part (a)
Let's find the distance from point D to point E.
In other words, this will compute the length of segment DE.
[tex]D = (x_1,y_1) = (0,-6) \text{ and } E = (x_2, y_2) = (3,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-3)^2 + (-6-1)^2}\\\\d = \sqrt{(-3)^2 + (-7)^2}\\\\d = \sqrt{9 + 49}\\\\d = \sqrt{58}\\\\d \approx 7.6158\\\\[/tex]
Segment DE is roughly 7.6158 units long.
Let's repeat these steps to find the length of segment EF.
[tex]E = (x_1,y_1) = (3,1) \text{ and } F = (x_2, y_2) = (-2,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-2))^2 + (1-1)^2}\\\\d = \sqrt{(3+2)^2 + (1-1)^2}\\\\d = \sqrt{(5)^2 + (0)^2}\\\\d = \sqrt{25 + 0}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
Segment EF is exactly 5 units long.
Lastly, we'll compute the length of segment FD.
[tex](x_1,y_1) = (-2,1) \text{ and } (x_2, y_2) = (0,-6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-0)^2 + (1-(-6))^2}\\\\d = \sqrt{(-2-0)^2 + (1+6)^2}\\\\d = \sqrt{(-2)^2 + (7)^2}\\\\d = \sqrt{4 + 49}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\[/tex]
Segment FD is about 7.2801 units long.
This is close to the length of DE, but not quite.
To recap, we found these segment lengths:
DE = 7.6158 (approximate)EF = 5 (exact)FD = 7.2801 (approximate)As you can see, all three sides are different lengths. Therefore, triangle DEF is scalene.
----------------------------------
For part (b), follow the same template as part (a).
I'll be skipping the steps.
This is what you should get for the lengths of triangle TRI
segment TR = 6.0828 (approximate)segment RI = 2 (exact)segment IT = 6.0828 (approximate)Segments TR and IT are the same length (both exactly [tex]\sqrt{37}[/tex] units long), which means triangle TRI is isosceles.
-----------------------------------
For part (c), I'll also be skipping steps.
Here are the lengths you should find
JK = 4.1231 (approximate)KL = 8.9443 (approximate)LJ = 10.6301 (approximate)All three lengths are different, making this triangle scalene.
Related Questions
I need help with this question thanks!
Answers
Answer:
0.9 kg of chocolate and 2.1 kg of peanut butter
Step-by-step explanation:
Since we know Ms. G is making 3 kg of peanut butter cups we can remove one of the variables. I will say that p = (3 - c) since anything in the 3 kg that isn't chocolate is peanut butter.
We can now find the total cost of the peanut butter cups.
3kg * $9.55/kg = $28.65
We can now set up an equation to find how much chocolate was bought.
8.50(3 - c) + 12(c) = 28.65 | distributive property
25.5 - 8.5c + 12c = 28.65 | subtract 25.5 from both sides
3.5c = 3.15 | divide both sides by 3.5
c = 0.9
This means 0.9 kg of chocolate was bought. Now we can solve for the amount of peanut butter purchased.
p = (3 - c)
p = (3 - 0.9)
p = 2.1
This means 2.1 kg of peanut butter was bought.
That is the answer
- Kan Academy Advance
4-2×=×+8 what is the result
Answers
Answer:
x = -4/3
Step-by-step explanation:
4 - 2x = x + 8
4 - 3x = 8
-3x = 4
x = -4/3
The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1.5 litres of water into the container. Will the water come over the top of the container? Explain your answer and show all your working.
Answers
Answer:
Cylinder[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 6 cmh = 18 cm[tex]\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}[/tex]
Cube[tex]\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}[/tex]
Given:
x = 8 cm[tex]\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}[/tex]
Volume available to be filled with waterVolume of cylinder - volume of cube
= 684π - 512
= 1532.75204 cm³
1 litre = 1000 cm³
⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³
As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will not come over the top of the container.
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. 4m,13m,4m
Answers
Answer:
B
Step-by-step explanation:
From the diagram below, choose the correct letter for each of the following parts of
a circle:
a) a major arc
b) a minor sector
c) a major segment
F
A
D
B
E
E
Answers
Answer:
A) F
B) B
C) C
Step-by-step explanation:
F is a major arcB is a minor sector C is a major segmentscircle AB represents sectors
circle CD represent segments
circle EF represent arcs
You just found a coupon for 35% off! what is 3 the new price of the shoe before taxes?
Answers
The new price of the shoe before taxes will be $ 35.75.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
It cost Nike $55 to make the "Kyrie 5".
You just found a coupon for 35% off.
Then the new price of the shoe before taxes will be
⇒ (1 - 0.35) x 55
⇒ 0.65 x 55
⇒ $ 35.75
More about the percentage link is given below.
https://brainly.com/question/8011401
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Write 84 as a product of primes.
Use index notation when giving your answer
Answers
SOLUTION
TO DETERMINE
84 as a product of primes.
Use index notation to write the number
EVALUATION
Here the given number is 84
We prime factorise the given number
84 = 2 × 2 × 3 × 7
Number of 2's = 2
Number of 3's = 1
Number of 7's = 1
Rewriting the given number in index form we get
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
The difference between face value and place value of 5 in 2,10,519
brainly.in/question/22495648
2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??
Which expression is equivalent to 52.2
O
(2.50) + 2
(2 • 26) + 2
O
(z.50) + (z. 2)
O (z • 2) + 26
Answers
Answer:
Anwer is (z.50)+(z.2) since expanding it is z.52
Answers this any links will be reported
Answers
Hey there!
ASSUMING
(3x)° + 45° = 180°
3x + 45 = 180°
SUBTRACT 45 to BOTH SIDES
3x + 45 - 45 = 180 - 45
SIMPLIFY IT!
3x = 180 - 45
3x = 135
DIVIDE 3 to BOTH SIDES
3x/3 = 135/3
SIMPLIFY IT!
x = 45°
Therefore, the answer should be:
x = 45
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\large\boxed{\sf{x=45}}[/tex]Step-by-step explanation:
Given:
Complementary angles of 180 degrees.To solve:
For x, to isolate it one side of the equation.(3x)°+45°=180°
3x+45=180First, subtract by 45 from both sides.
3x+45-45=180-45
Solve.
Subtract these numbers goes from left to right.
180-45=135
3x=135
Divide by 3 from both sides.
3x/3=135/3
Solve.
Divide these numbers from left to right.
135/3=45
[tex]\Longrightarrow: \boxed{\sf{x=45}}[/tex]
Therefore, the final answer is x=45.I hope this helps, let me know if you have any questions.
Evaluate v(x)=12−2x−5 when x=−2,0, and 5.
Answers
Answer:
Step-by-step explanation:
v(x)=12-2x-5
v(-2)=12-2(-2)-5
=11
v(0)=12-2(0)-5
=7
v(5)=12-2(5)-5
=-3
Please simplify this!
Answers
Answer:
May be the answer is 5 . I don't think it's the answer .
6x + 12 = 3+3x
I'll give 25 points...
Answers
Step-by-step explanation:
Question:-6x + 12 = 3+3x
Answer:- 6x + 12 - 3 - 3x=0
6x-3x+12-3=0
3x+9=0
3x=-9
x=-9/3
x=-3
Hope this helps you
Have a nice day
Answer:
x = -3
Step-by-step explanation:
6x + 12 = 3+3x
6x + (12-12) = (3-12)+3x
(6x-3x) = (3x-3x)-9
3x/3 = -9/3
X=-3
What will cost to make 1000 copies if the cost of one copy is $0.041 ?
Answers
Answer:
$41
Step-by-step explanation:
1 copy costs $0.041
If I need 1000 copies, I need to multiply
$0.041 × 1000 = $41
1000 copies will cost $41
Answer:
$41
Step-by-step explanation:
The cost of 1000 copies is 1000 times the cost of 1 copy.
1000 × $0.041 = $41.00
The cost to make 1000 copies is $41.
Please Help Giving Brainlist Find the area of the figure.
Answers
Answer:
108 m²
Step-by-step explanation:
Area of the figure :
3 x 6 + (3 + 3) x 6 + (3 + 3 + 3) x 66 (3 + 6 + 9)6 (18)108 m²Write a recursive formula for the explicit formula.
A(n)=5+(n− 1)(-4)
Answers
Answer:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
Step-by-step explanation:
Recursive formula allows us to find the value of a specific term based on the previous term.
Explicit formula allows us to find the value of a specific term based on its position.
Given explicit formula: [tex]a(n)=5+(n-1)(-4)[/tex]
[tex]\implies a(1)=5+(1-1)(-4)=5[/tex]
[tex]\implies a(2)=5+(2-1)(-4)=1[/tex]
[tex]\implies a(3)=5+(3-1)(-4)=-3[/tex]
[tex]\implies a(4)=5+(4-1)(-4)=-7[/tex]
From inspection of the sequence, we can see that to get the next term, we need to subtract 4 from the previous term.
[tex]5 \underset{-4}{\longrightarrow} 1 \underset{-4}{\longrightarrow} -3 \underset{-4}{\longrightarrow} -7[/tex]
Therefore, the recursive formula is:
[tex]a_n=a_{(n-1)}-4[/tex]
For a recursive formula, we also need to give the value for [tex]a_1[/tex] .
Therefore, the final recursive formula for the explicit formula is:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation,and it is not likely causal. it is a strong positive correlation, and it is likely causal.
Answers
Based on the correlation coefficient between sodium and the calories in the meal, we can say that there is a strong positive correlation, and it is not likely causal.
What do correlation coefficients tell us?Correlation coefficients are used to show the strength of a correlation between two variables. They go from -1 to 1 and the closer to figure is to 1, the stronger the correlation between the two.
If the figure is close to 1 (instead of -1) as is the case here it means that there is a positive correlation.
Correlation however, does not mean causation which is why there is a strong positive correlation between Sodium and calories with a coefficient of 0.74, but its likely that this isn't causal.
Find out more on correlation coefficients at https://brainly.com/question/20533513.
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Select the graph that matches the equation y = 2
4
7
x − 3.
Answers
Answer:
B
Step-by-step explanation:
Since the y-intercept is -3 look for the graph that has the point (0,-3)
Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about:
Answers
Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about 63 feet.
What is stopping distance?The distance traveled while the driver sees a hazard and applies the brakes, as well as when the vehicle comes to a complete stop from its original speed, is included in the stopping distance.
We have:
Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour
In this case, the stopping distance will be about 63 feet if the stopping distance is more than 20 feet at 10 miles per hour.
Thus, the including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about 63 feet.
Learn more about the stopping distance here:
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20 points
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 216, 36,6 Find the 8th term.
Answers
Answer:
0.001
Step-by-step explanation:
Given (or we can find) :
First term : 216
Common ratio : 36/216 = 1/6
To find 8th term :
a₈ = ar⁸⁻¹
a₈ = (216)(1/6)⁷
a₈ = 216/279936
a₈ = 6³/6⁷
a₈ = 1/6⁴
a₈ = 1/1296
a₈ = 0.000771604938
a₈ = 0.001 (nearest thousandth)
express 5x - 2y - 12 = 0 in y=mx + b form and state the slope and y-intercept
Answers
Answer:
Step-by-step explanation:
5x-2y-12=0
5x-2y+12-12=0+12
5x-2y=12
5x-5x-2y=12-5x
-2y=12-5x
(-2y)/-2=(12-5x)/-2
y=5/2x-6
slope= 5/2x up 5 over 2
y-intercept is -6
Helppppppp meeeeeeeeepleaseeeeee
Answers
Answer:
5600x10=56000
56000=B ten thousands
Answer:
Ten Thousands
Step-by-step explanation:
5,600x10=56000
So the 5 will be in the ten thousand place if u get a chart/
ignore the numbers on the chart
Sam is thinking of retiring from his job after many years of faithful service. during the last 35 years at his job, his annual salary averages to $37,991. every month, his bills total $1,755. how much money would sam need each month to supplement his monthly social security benefit (assuming his annual benefit is 42% of his salary average) and still be able to pay his bills? a. at least $81.23 b. at least $425.32 c. at least $1,410.92 d. at least $3,019.67
Answers
Using proportions, the amount of money that Sam would need each month to pay his bills is of:
b. at least $425.32.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, his annual social security benefit is of 42% of $37,991, hence:
A = 0.42 x 37991 = $15,956.22.
Hence the monthly amount is given by:
M = 15956.22/12 = $1,329.68
He needs $1,755 monthly, hence the amount he needs is of at least:
An = 1755 - 1329.68 = $425.32.
Which means that option b is correct.
More can be learned about proportions at https://brainly.com/question/24372153
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What is the volume? thank you
please hurry will mark brainlest worth 100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
44602.24 yd³
Explanation:
The given shape above is a sphere.
[tex]\boxed{\sf Volume \ of \ sphere = \dfrac{4}{3} \pi r^3}[/tex]
Here given:
1) radius = 22 yards
Solve for Volume:
[tex]\implies \sf \dfrac{4}{3} \pi (22)^3 \ \ = \ \ 44602.2381 \ yd^3 \ \ = \ \ 44602.24 \ yd^3 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
BRAINLIEST!!
PLS HELP
Answers
Answer:
H and M
or
K and F
Step-by-step explanation:
Complementary angles = 90 degrees
Corners of a rectangle are 90 degrees
Pick the two angles that make up the 90 degree angle
ECA is a semi equilateral triangle at C,
where EÂC= 30°
B is point on [AC] such that BC = 2cm
and BE = 3cm.
Calculate AE.
Answers
Answer: its 50
Step-by-step explanation:
i need help with geometry please!
question is in the image above~
the answer is either;
a) 25
b)20
c)18
d)15
Answers
Answer:
The answer is 15
Step-by-step explanation:
You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.
Olivia is buying a car for £3650. She pays a deposit of £500. What percentage of the price is the deposit?
Answers
Answer:
500 ÷ 3650 = 0.13698630136986 = 13.698630136986%
find the unit rate. jessica bakes 112 muffins in 7 batches. how many muffins does each batch contain
Answers
Answer:
16 muffins in each batch
Step-by-step explanation:
112/7=16
The daily cost of manufacturing x comic books at a small custom printing shop is C(x)=2x+325, and the number of comic books assembled in y hours is x(y)=35y. The composition function, C(x(y)), identifies the cost of assembled comic books in a y-hour day. Which mathematical expression represents C(x(y))?
A- 70y+11,375
B- 70y+325
C - 70x+325
D - 70x+11,375
Answers
The mathematical expression represents C(x(y)) will be C(x(y)) = 70y + 325. Then the correct option is B.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The daily cost of manufacturing x comic books at a small custom printing shop is C(x) = 2x + 325, and the number of comic books assembled in y hours is x(y) = 35y.
The composition function, C(x(y)), identifies the cost of assembling comic books in a y-hour day.
Then the mathematical expression represents C(x(y)) will be
C(x(y)) = 2(35y) + 325
C(x(y)) = 70y + 325
More about the function link is given below.
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Solve for x. Write both solutions, separated by
a comma.
6x² + 5x6 = 0
Answers
Answer:
x = 0.7401 ± 0.7401i, x = 0
Step-by-step explanation:
(6 • (x^2)) + 5x^6 = 0
(2•3x^2) + 5x^6 = 0
5x^6 + 6x^2 = x^2 • (5x^4 + 6)
x^2 • (5x^4 + 6) = 0
x^4 = -6/5 = -1.200
x = ∜ -6/5
⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.
→ x = 0
→ x = 0.7401 ± 0.7401i