Answer:
T= (-4 ,2)
U= (2 ,4)
V= (3 ,1)
W= (-3, -1)
1 . LENGTH OF EACH SIDES
[tex]length \ of \ sides =\sqrt{(x_{2} -x_{1} )^2+(y_{2} -y_{1})^2}[/tex]
[tex]length \ of \ TU = \sqrt{(2--4 )^2+(4-2)^2} = \sqrt{40}[/tex]
[tex]Length \ of \ UV =\sqrt{(3-2 )^2+(1-4)^2} = \sqrt{10}[/tex]
[tex]Length \ of \ VW =\sqrt{(-3-3)^2+(-1-1)^2} = \sqrt{40}[/tex]
[tex]length \ of \ TW =\sqrt{(-3--4 )^2+(-1-2)^2} =\sqrt{10}[/tex]
2. SLOPE OF CONSECUTIVE SIDES
[tex]Slope \ of \ the \ line \ passing \ through \ (x_{1}, y_{1} ) \ and \ (x_{2}, y_{2}) = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]Slope \ of \ TU = \frac{4-2}{2--4} = \frac{2}{6} =\frac{1}{3}[/tex]
[tex]Slope \ of \ UV = \frac{1-4}{3-2} = -3[/tex]
[tex]Slope \ of \ VW = \frac{-1-1}{-3-3} = \frac{-2}{-6} =\frac{1}{3}[/tex]
[tex]Slope \ of \ TW = \frac{-1-2}{-3--4} = -3[/tex]
[tex]Slope \ of \ lines \ parallel \ to \ each \ other = m_{1}\cdot m_{2} = 1\\Slope\ of \ lines\ perpendicular \ to \ each \ other =m_{1}\cdot m_{2} = -1\\[/tex]
[tex]Slope \ of \ TU * UV = \frac{1}{3}*-3 = -1\\\\Slope \ of \ UV *VW = -3 *\frac{1}{3}= -1\\\\ Slope \ of \ VW * TW = \frac{1}{3}*-3 = -1\\\\Slope \ of \ TW * TU = -3 *\frac{1}{3}= -1\\\\[/tex]
Therefore the consecutive sides are perpendicular to each other.
3. TYPE OF PARALLELOGRAM
The opposite sides are of same length. The consecutive sides are perpendicular to each other. So the parallelogram is a RECTANGLE.
Write the equation of the parallel line - x + 2y = 12 that goes through the
point (10,8).
Write your answer in in slope-intercept form,
y = m x +
b
slope
y-intercept
Answer:
Step-by-step explanation:
Find the value of x.
Answer:
⏩12°
Step-by-step explanation:
4x + 7° + 35° = 90° {being complementary angles }
4x + 42° = 90°
4x = 90° - 42°
4x = 48°
x = 48° / 4
x = 12°
Hope it will help :)❤
Step-by-step explanation:
35°+4x+7°=90°
or,42°+4x=90°
or,4x=90°/42°
or,x=2.14/4
or,x=0.53
hope this helps
What about this one
Answer:
3/20
Step-by-step explanation:
Answer:
3/20
Step-by-step explanation:
The circle is a whole, or 1
1 - 1/4 - 3/5 = area shaded
1 - 5/20 - 12/20 = area shaded
1 - 17/20 = area shaded
3/20 = area shaded
Another method:
1 - 0.25 - 0.6
1 - 0.85 = 0.15
0.15 = 3/20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Slion 1
Find the slope from the 2 points. (-2,6) (1, 4)
tific
-3/2
O-2
tion
O-2/3
0-1/2
Answer:
Option 3: [tex] - \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Using the formula above,
slope
[tex] = \frac{6 - 4}{ - 2 - 1} [/tex]
[tex] = - \frac{2}{3} [/tex]
Answer:
C. -2/3
Step-by-step explanation:
The slope formula is (y2-y1)/(x2-x1)
That is (4-6)/(1--2)
So -2/3
i need help and thank you
Answer:
Hello! answer: 6
Step-by-step explanation:
2 × 3 = 6 12 - 6 = 6 therefore the answer is 6 hope that helps!
Answer:
6
Step-by-step explanation:
This year there was 25% fewer sunny days than last year. What is the number of sunny days this year?
Answer:
The number of sunny days this year = 0.75x
where, x is the sunny days in last years.
Step-by-step explanation:
Given - This year there was 25% fewer sunny days than last year.
To find - What is the number of sunny days this year?
Proof -
Let us assume that,
The total number of sunny days last year = x
Given that,
This year there was 25% fewer sunny days than last year.
i.e this year total sunny days = 100 - 25 = 75 %
So,
we get
If there were x sunny days last year,
Then,
This year Total sunny days = 0.75x
Classify the polygon: Coordinates: A(1, 4), B(4, 5), C(5, 2) Explain your answers. Must show all work to support your reasoning. a. Classify ∆ABC as equilateral, isosceles, or scalene. Explain your reasoning. b. Determine if ∆ABC is a right triangle. Explain your reasoning. c. Find the perimeter and area of ∆ABC. Round decimal answers to the nearest tenth.
Answer:
a. ΔABC is an isosceles triangle
b. ΔABC is a right triangle
c. The perimeter of ΔABC is approximately 10.8
Step-by-step explanation:
The given vertices of the polygon, are;
A(1, 4), B(4, 5), C(5, 2)
By observation of the differences of the coordinates of the given points, the points are non-linear, as the rate of increase in the y-values, for a given increase in the x-value, is not constant
The length of segments of the triangle ΔABC are found using the formula for finding the distance, 'd', between points given their coordinates, (x₁, y₁), (x₂, y₂), as follows;
[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
The length of segment, [tex]\overline {AB}[/tex] = √((5 - 4)² + (4 - 1)²) = √10
The length of segment, [tex]\overline {AC}[/tex] = √((2 - 4)² + (5 - 1)²) = √20
The length of segment, [tex]\overline {BC}[/tex] = √((2 - 5)² + (5 - 4)² = √10
The length of segment, [tex]\overline {AB}[/tex] = The length of segment, [tex]\overline {BC}[/tex], therefore, ΔABC is an isosceles triangle by definition of an isosceles triangle which is a triangle that have two sides of equal length
ΔABC is an isosceles triangle
b. According to Pythagoras' theorem, the sum of the squares of the two shorter sides (the legs) of a right triangle = The square of the length of the longest side
In if triangle ΔABC is a right triangle, we should have;
[tex]\overline {AB}[/tex]² + [tex]\overline {BC}[/tex]² = [tex]\overline {AC}[/tex]²
Checking gives;
(√10)² + (√10)² = 10 + 10 = 20 = (√20)²
Whereby [tex]\overline {AB}[/tex]² (= (√10)²) + [tex]\overline {BC}[/tex]² (= (√10)²) = (√20)² = [tex]\overline {AC}[/tex]², ΔABC is a right triangle
ΔABC is a right triangle
c. The perimeter of ΔABC = The length of segment, [tex]\overline {AB}[/tex] + The length of segment, [tex]\overline {AC}[/tex] + The length of segment, [tex]\overline {BC}[/tex]
∴ The perimeter of ΔABC = √10 + √10 + √20 ≈ 10.7966912753
By rounding off to the nearest tenth, the perimeter of ΔABC ≈ 10.8.
Help me with this question
Answer:
24
Step-by-step explanation:
41-17=24
what is this
Writing State the Pythagorean Theorem. Describe how you determine where
the lengths of the sides of a right triangle get substituted into the equation.
Answer:
In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the si…
Step-by-step explanation:
Answer: Hope This Helps!
Step-by-step explanation:
Pythagoras Theorem Statement Pythagoras theorem states that “ In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides “. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse.
show that (X+1)(x+3)(x+5) can be written in the form ax^3+bx^2+cx+d
Answer:
(x+1)(x+3)(x+5) = x^3 + 9 x^2 + 23 x + 15
Step-by-step explanation:
If you apply the distributive property, you can expand the expression to x^3 + 9 x^2 + 23 x + 15, from that you can see that:
a = 1
b = 9
c = 23
d = 15
And with these values, ax^3+bx^2+cx+d completely equals the given expression.
Answer:
Step-by-step explanation:
Hope this is helps u !!
What is the radius of a sphere with a volume of 12,348 π cubic feet?
Answer:
Radius = 21
Step-by-step explanation:
Volume of a sphere = 4/3 * pie * radius^3
12,348 pie = 4/3 * pie * radius ^3
12,348 = 4/3 * radius^3
(12,348 * 3)/ 4 = radius^3
9261 = radius^3
radius = [tex]\sqrt[3]{9261}[/tex]
radius = 21
Please help, sorry if it’s blurry.
Answer:
0.35
Step-by-step explanation:
j.g susghe yo s9ss9sssisjwus
Answer: D) 385.2
What you give me in the comments 1,540.7......789.4.....1,155.5.....385. I think that was the choice for me to put what kind of answer you want!
Step-by-step explanation: Hope this help :D
BRAINLIEST! hello please help i’ll give brainliest
Answer:
the bin, 60-69 has the most data values
Step-by-step explanation:
since it has the highest frequency it has the most data values
Answer:
Step-by-step explanation:
The bin 60-69, contains the most data 100% positive that this is correct
plzzzzz help ASAP!!!! will mark brainliest!!
Answer:
x = 6
Step-by-step explanation:
-5(-2) + [8(-2)/4] = 10+(-16/4) = 10-4 = 6
Answer:
the value = 6
Step-by-step explanation:
when x = -2 we can say;
-5(-2) + 8(-2)/4
=> 10 + (-16)/4
=> 10 + (-4)
=> 6 = the value
Hope this helps!
someone help me plz!!!
Answer:
The distributive property.
Step-by-step explanation:
If you show steps i will give BRAINLIEST
Petra gives Ian the clue below to help him guess a
number.
When the number ( x ) is doubled and the product
is reduced by five, the final result is less than 23.
Which inequality correctly represents this clue?
A. 2x - 5 < 23
B. 2 (x-5) < 23
C. 2x - 5 > 23
D. 2 (x-5) > 23
Answer:
2x - 5 < 23
2x < 28
x < 14
Step-by-step explanation:
Petra gives Ian the clue below to help him guess a number.When the number (x) is doubled and the product is reduced by five, the final result is less than 23.Which inequality correctly represents this clue?
Answer:
2x - 5 < 23
Step-by-step explanation:
2x - 5 < 23
2x < 28
x < 14
Mila graphs the point A (5, 0) on a coordinate plane.
Which of the following statements are true?
Select all that apply.
Point A is 5 units to the________(Please fill this box any of these choices in A-E)
A. right of the origin and up 1 unit.
B. The x-coordinate of point A is 5.
C. The y-coordinate of point A is 5.
D. Point A is on the y-axis.
E. Point A is on the x-axis.
Answer:
B,E
Step-by-step explanation:
(5,0) (5=x, 0=y)
A is false because y = 0
B is true because x=5
c is false because y = 0
D is false because again y = 0
E is true because 5,0 is on the x axis
- Gage Millar, Algebra 2 tutor
Find the value of each variable
Answer:
z = 77
y = 103
Step-by-step explanation:
The angle where 103 and z meet is supplementary, which means it is 180. Since we know one side is 103, we just have to subtract this value from 180 to find the other side, 77.
The total angle measure of a trapezoid is 360. Since we have all the values now except for one, we can simply add them all together: 95 + 77 + 85 = 257. Then, subtract this number, 257, from 360, to get the final angle measure as 103.
Hope this helped.
Un joyero tiene forma de un prisma con base hexagonal tiene una altura de 3cm y un volumen de 67.5cm3 cual es el area de su base ??
Answer:
22.5 cm²
Step-by-step explanation:
La fórmula para el volumen de un prisma con una base hexagonal = Área de la base × Altura
De la pregunta anterior
Área de la base =?
Altura = 3 cm
Volumen = 67.5 cm³
Área de la base = Volumen ÷ Altura
Área de la base = 67.5 cm³ ÷ 3cm
= 22.5 cm²
Por lo tanto, el área si es base = 22.5 cm²
Find the area of the figure below
Answer:
44
Step-by-step explanation:
Split up the one complex shapes into two rectangles. Find the area of each rectangle and add them together.
Answer:
44 square meters
Step-by-step explanation:
split the figure into 2 easy shapes
the first shape 8*4 32
the second shape is 6*2 12
add 32 and 12
44
this is a bad explanation lol
THIS IS exact and approximate pi PLS HELP ME BEFORE I FAIL
Answer:
Approximate: C ≈ 50.27
Exact: C = 16π
Step-by-step explanation:
C = 2πr
We know that r is 8
C = 2π8
C = 16π
C ≈ 50.27
The circumference of a circle is 16π unit²
What is circumference of a circle?The circumference of a circle is defined as the linear distance around of circle.
Formula of circumference of a circle (C) = 2πr
Where r is radius of circle
Given radius of circle (r) = 8,
Substitute the value of r,
C = 2π(8)
C = 16π unit²
Substitute π = 3.14,
C ≈ 50.27 (approximate)
Thus, the circumference of a circle is 16π unit²
Learn more about Circles
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Jack earned a base pay of $600 plus a 5% commission on his sales. If his sales were $25,000 for the week, what was his total paycheck?
Answer:
1,850
Step-by-step explanation:
600+.05(25000)=1,850
Work out the surface area of the solid cuboid.
The diagram is not drawn to scale.
Answer
[tex]surface \ area = 2( lb + bh+hl) = 2(6 + 12 + 8) =2*26 = 52cm^2[/tex]
Answer:
52 cm^2.
Step-by-step explanation:
SA = 2 (2*3 + 3*4 * 2*4)
= 2 * 26
= 52 cm^2.
A company sells fruit smoothies in two sizes: 6 ounces and 12 ounces. You know that a 6-ounce bottle contains 96 milligrams of sodium. If the amount of sodium is directly proportional to the fluid ounces of smoothie, how many milligrams of sodium does a 12-ounce bottle contain?
And can yall put an explanation please
Answer:
I believe it would be 192 milligrams.
Step-by-step explanation:
They said the amount of sodium is equal to the amount of ounces meaning it would be 6ounce:96milligrams. In this case, doubling 6 would be 12, resulting in doubling 96 as well. I'm not 100% sure, this problem contains an unnecessary amount of information for a simple concept.
12 ounces smoothies has 192 milligrams sodium
Given : 6 ounces smoothies have 96 milligrams of sodium
So, per ounce of smoothie consists 96 / 6 = 16 milligrams of sodium
To find : milligrams of sodium in 12 ounces of smoothies
According to sodium per unit smoothie, 12 ounces smoothie consist 12 x 16 = 192 milligrams sodium.
Also : Doubling 6 ounces smoothies to 12 ounces, we get 192 milligrams of sodium by doubling 96 milligrams.
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V = bdt. Solve the formula for b.
Answer:
b = [tex]\frac{V}{dt}[/tex]
Step-by-step explanation:
Divide both sides by dt, so it cancels out.
[tex]\frac{V}{dt} = \frac{bdt}{dt}[/tex]
[tex]\frac{V}{dt} = b[/tex]
The boys basketall team averages 52 points per game with a standard deviation of 7.0 points. What is the probability that the boys will score between -1.2 and 2.0 standard deviations of their average?
Answer:
0.6832
Step-by-step explanation:
Given :
Mean, m = 52
Standard deviation, s = 7
-1.2 standard deviation of average = 57 - 1.2(7) = 57 - 8.4 = 48.6
2 standard deviations of average = 57 + 2(7) = 57 + 14 = 71
Zscore = (48.6 - 52) / 7 = - 0.486
Zscore = (71 - 52) / 7 = 2.714
P < -0.486) = 0.31348
P < 2.714 = 0.99668
P < 2.714 - P < -0.486 = (0.99668 - 0.31348) = 0.6832
For the pair of coordinates, describe the translation rule: A(-2,-6) to A'(-5, -9).
Answer: a=0 hope that helps sorry i don't have time to explain bye !
Step-by-step explanation:
Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)
Step-by-step explanation:
Consider LHS
[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]
Apply quotient identies
[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]
Multiply the fraction and sine.
[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Make cos x a fraction with cos x as it denominator.
[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]
so
[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Pythagorean Identity tells us sin squared and cos squared equals 1 so
[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]
Apply reciprocal identity.
[tex] \sec(x) = \sec(x) [/tex]
A circle has a circumference of 615.44 point, 44 units.
What is the radius of the circle?
The circumference of a circle is equal to C=2πr
From the question, we have 615.44.
Assume that pi is equal to 3.14
Substitute and solve for r
615.44= 2(3.14)r
r= 615.44/ 6.28
r=98.4704
r=98
Therefore, the radius is about 98 units.
To check:
C=2πr
C=2 x 3.14 x 98
C=6.28 x98
C=615.44
please help me with this answer it’s very confusing
Answer:
19
Step-by-step explanation:
1 centimeter is 10 millimeters
190 / 10 = 19