Answers
Answer:
10.8
Step-by-step explanation:
√(5-(-5))² + (8 -4)²
√10² + 4²
√100+16
√116 = 10.8
[tex]\\ \sf\longmapsto CD=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto CD=\sqrt{(5+5)^2+(8-4)^2}[/tex]
[tex]\\ \sf\longmapsto CD=\sqrt{(10)^2+(4)^2}[/tex]
[tex]\\ \sf\longmapsto CD=\sqrt{100+16}[/tex]
[tex]\\ \sf\longmapsto CD=\sqrt{116}[/tex]
[tex]\\ \sf\longmapsto CD=10.4[/tex]
Related Questions
A triangle can have at most___ right angle
О
2
4
1
Answers
a right angle can have at least 2
The length of a rectangular field is 6 metres longer than its width. If the area of the field is 72 square metres, What are the width and the length of the field?
Answers
Answer:
Let's call the length of the field "l", and the width of the field "w".
If the area of the field is 72 square meters, then we have:
l x w = 72
And if the length is 6 meters longer than the width, we have:
l = w+6
So looking at the first equation (l x w = 72), we can substitute the l for a w+6.
And we obtain:
(w+6) x (w) = 72
Which simplifies to w^2 + 6w = 72.
This quadratic equation is pretty easy to solve, you just need to factor it.
w^2 + 6w - 72 = 0
(w-6)(w+12)
This leaves the roots of the quadratic equation to be 6 and -12, but in this case, a width of -12 wouldn't make sense.
So, the width of the rectangular field is 6, and the length of the field is 12.
Let me know if this helps!
Answer:
we assume one side is x and other side must be x+6 and when we multiple it together we can find x²+6x =72
Step-by-step explanation:
one side is 6 and. other is 12 so the lenght= 12 the width=6
Enter the location of the point as an ordered pair.
5
-5
-6
Answers
Answer:
(4,1)
Step-by-step explanation:
(4,1) is the correct answer. Answered by Gauthmath
Ayuda plis..
5 (2x+3) - 4x= - 4 +3 (x-4)
Answers
Answer:
x=- 31/3
Step-by-step explanation:
distribute 5(2x+3)-4x=-4+3x(x-4)
10x+15-4x=-4+3(x-4)
combine like terms
distribute
[tex] \frac{5}{5 \sqrt{6 + 2 \sqrt{3} } } \times ( \frac{1}{5 \sqrt{3} } + \frac{3 \sqrt{2} }{2 \sqrt{3} } - \frac{2 \sqrt{3} }{3 \sqrt{2} } ) = [/tex] ....................
Answers
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
32 x square Y - 2 y cube
Answers
Answer:
207y
Step-by-step explanation:
Find the slope of the line that passes through the points (-12,10) and (-18,14).
PLEASE HELP ASAP
Answers
Answer:
-2/3
Step-by-step explanation:
The slope is -2/3 because the slope formula, y2-y1/x2-x1
[tex]\huge\text{Hey there!}[/tex]
[tex]\boxed{\huge\boxed{\mathsf{Formula: m = \dfrac{y_2- y_1}{x_2- x_1}}}}[/tex]
[tex]\boxed{\huge\boxed{\mathsf{m = \dfrac{14 -10}{-18 - (-12)}}}}\\\\\\\huge\textsf{14 - 10 = \bf \boxed{\bf 4}}\\\\\\\huge\textsf{-18 - (-12)}\\\huge\textsf{= -18 + 12}\\\huge\textsf{= \bf -6}\\\\\boxed{\huge\boxed{\mathsf{m = \dfrac{4}{-6}}}}[/tex]
[tex]\boxed{\huge{\boxed{\mathsf{m = \dfrac{4\div2}{-6\div2}}}}}\\\\\huge\boxed{\mathsf{4\div2 = \bf 2}}\\\huge\boxed{\mathsf{-6\div2 = \bf -3}}\\\\\\\boxed{\boxed{\huge\boxed{\mathsf{\star m = \bf \dfrac{2}{-3}\star}}}}[/tex]
[tex]\boxed{\boxed{\huge \boxed{\mathsf{Answer: }\frak{\dfrac{2}{-3}}}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\frak{Good\ luck\ on\ your\ assignment\ \& \ enjoy \your \ day!}}[/tex]
~[tex]\rm{Amphitrite1040:)}[/tex]
Help pleaseeeee:)))))))
Answers
5 by 3
3rd one
there we have to find hypotenuse.
Answer:
+- 5/3
Step-by-step explanation:
When we construct a right triangle with legs with length 3 and 4. The hypoteneuse must 5. Since tan(x) = opp/adj = 4/3 and sec(x) = hyp/adj,
We get the answer to be 5/3. Now there is a +- there because if we use the unit circle, if we take the point (-3, -4), we get tan(x) = (-4/-3) = 4/3. However, the hypoteneuse for sec(x) is always positive so sec(x) = 5/-3 = -5/3.
That is why there are two solutions, one with the terminal arm in Q3 and one in Q1. But that's the explanation using the unit circle.
I need help on this asap please!
Answers
Answer:
-8 5/20 , 4/25 , 9/20
Step-by-step explanation:
If there are negative numbers, those are the least. Let's say the number was -2 and -1. With a positive integer, 2 would be greater, but since it's negative, it's the least. SO -8 and 5/20 would be the least. Then putting the other two fractions into decimal form, or you can find the greatest common denominator, you'll find that 9/20 is greater than 4/25.
What is a simplified form of 1 − sin^2 θ?
Answers
Answer:
cos^2(θ)
Step-by-step explanation:
below are properties of a square which one is not a all sides are equal b all angles are right angles C has five interior angles d diagonals are equal
Answers
Answer:
has five interior angles
a square is a quadrant meaning it has four interior angles
Let the lengths of each side of △ABC having area equal to 1 be as follows: AB = 2, BC = a and CA = b. Let CD be a perpendicular line from point C to AB. Answer the following questions.
(1) Given AD = x, write a²+(2√3-1)b² in the form of x.
(2) Find the value of x at which a²+(2√3 - 1)b² is the lowest and the magnitude of ∠BAC.
Need help! Please show your work too. Thanks!
Answers
Answer:
Part 1)
[tex]\displaystyle \left((2-x)^2 + 1)\right) + (2\sqrt{3} - 1 ) \left(x^2 + 1\right)[/tex]
Or simplified:
[tex]\displaystyle = 2\sqrt{3}x^2 - 4x + 4 + 2\sqrt{3}[/tex]
Part 2)
The value of x for which the given expression will be the lowest is:
[tex]\displaystyle x = \frac{\sqrt{3}}{3}\approx 0.5774[/tex]
And the magnitude of ∠BAC is 60°.
Step-by-step explanation:
We are given a ΔABC with an area of one. We are also given that AB = 2, BC = a, and CA = b. CD is a perpendicular line from C to AB.
Please refer to the diagram below.
Part 1)
Since we know that the area of the triangle is one:
[tex]\displaystyle \frac{1}{2} (2)(CD) = 1[/tex]
Simplify:
[tex]\displaystyle CD = 1[/tex]
From the Pythagorean Theorem:
[tex]\displaystyle x^2 + CD^2 = b^2[/tex]
Substitute:
[tex]x^2 + 1 = b^2[/tex]
BD will simply be (2 - x). From the Pythagorean Theorem:
[tex]\displaystyle (2-x)^2 + CD^2 = a^2[/tex]
Substitute:
[tex]\displaystyle (2-x)^2+ 1 = a^2[/tex]
We have the expression:
[tex]\displaystyle a^2 + (2\sqrt{3} - 1) b^2[/tex]
Substitute:
[tex]\displaystyle = \boxed{\left((2-x)^2 + 1)\right) + (2\sqrt{3} - 1 ) \left(x^2 + 1\right)}[/tex]
Part 2)
We can simplify the expression. Expand and distribute:
[tex]\displaystyle (4 - 4x + x^2 + 1)+ (2\sqrt{3} -1)x^2 + 2\sqrt{3} - 1[/tex]
Simplify:
[tex]\displaystyle = ((2\sqrt{3} -1 )x^2 + x^2) + (-4x) + (4+1-1+2\sqrt{3})[/tex]
Simplify:
[tex]\displaystyle = 2\sqrt{3}x^2 - 4x + 4 + 2\sqrt{3}[/tex]
Since this is a quadratic with a positive leading coefficient, it will have a minimum value. Recall that the minimum value of a quadratic always occur at its vertex. The vertex is given by the formulas:
[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 2√3, b = -4, and c = (4 + 2√3).
Therefore, the x-coordinate of the vertex is:
[tex]\displaystyle x = -\frac{(-4)}{2(2\sqrt{3})} = \frac{1}{\sqrt{3}} =\boxed{ \frac{\sqrt{3}}{3}}[/tex]
Hence, the value of x at which our expression will be the lowest is at √3/3.
To find ∠BAC, we can use the tangent ratio. Recall that:
[tex]\displaystyle \tan \theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute:
[tex]\displaystyle \tan \angle BAC = \frac{CD}{x}[/tex]
Substitute:
[tex]\displaystyle \tan \angle BAC = \frac{1}{\dfrac{\sqrt{3}}{3}} = \sqrt{3}[/tex]
Therefore:
[tex]\displaystyle\boxed{ m\angle BAC = \arctan\sqrt{3} = 60^\circ}[/tex]
Write and algebraic expression:
The tens digit of a number is b and the units digit is twice as big. What is the value of the number in terms of b if the digits are reversed?
Answers
Answer:
21b
Step-by-step explanation:
Answer the question
Answers
Answer:
1,041,958.5, or 104,195 1/2
Step-by-step explanation:
All you have to do is 15787.25 times 66, because 15787.25 is the price for on acre, so 66 acres will be 15787.25 times 66. If you want to put it in fraction form, you can do 15787 1/4 times 66. I hoped you liked this answer!
a student walks 50m on a bearing 0.25 degrees and then 200m due east how far is she from her starting point.
Answers
Answer:
Step-by-step explanation:
I'm going to use Physics here for this concept of vectors. Here are some stipulations I have set for the problem (aka rules I set and then followed throughout the problem):
** I am counting the 50 m as 2 significant digits even though it is only 1, and I am counting 200 as 3 significant digits even though it is only 1. 1 sig dig doesn't really give us enough accuracy, in my opinion.
** A bearing of .25 degrees is measured from the North and goes clockwise; that means that measured from the x axis, the angle is 89.75 degrees. This is the angle that is used in place of the bearing of .25 degrees.
** Due east has an angle measure of 0 degrees
Now let's begin.
We need to find the x and y components of both of these vectors. I am going to call the first vector A and the second B, while the resultant vector will be C. Starting with the x components of A and B:
[tex]A_x=50cos(89.75)[/tex] so
[tex]A_x=.22[/tex]
[tex]B_x=200cos(0)[/tex] so
[tex]B_x=200[/tex] and we need to add those results together. Due to the rules for adding significant digits properly, the answer is
[tex]C_x=200[/tex] (and remember I am counting that as 3 sig fig's even though it's only 1).
Now for the y components:
[tex]A_y=50sin(89.75)[/tex] so
[tex]A_y=50[/tex] (which I'm counting as 2 sig fig's)
[tex]B_y=200sin(0)[/tex] so
[tex]B_y=0[/tex] and we need to add those results together.
[tex]C_y=50[/tex]
Now for the resultant magnitude:
[tex]C_{mag}=\sqrt{(200)^2+(50)^2}[/tex] and that gives us a final magnitude of
[tex]C_{mag}=206[/tex] m
Now for the angle:
Since both the x and y components of the resultant vector are in quadrant 1, we don't need to add anything to the angle to get it right, so
[tex]tan^{-1}(\frac{50}{200})=14[/tex]
The girl is 206 meters from her starting point at an angle of 14 degrees
Can someone help me with this question? Will give brainliest.
Answers
Answer:
5.2561
step by step explanation:
using BODMAS, multiplication comes before addition.
Therefore,
[tex] \sqrt{1.13 + (2.84 \times 9.33)} [/tex]
[tex] \sqrt{1.13 + 26.4971} [/tex]
[tex] \sqrt{27.6272} [/tex]
Therefore the answer is
5.2561
In the circle below, if arc AC = 66°, and arc BD = 146, find the measure of
Select one:
a. 146
b. 212
C. 66
d. 106
Answers
Answer:
D. 106°Step-by-step explanation:
m∠BPD = m∠APC = 1/2(mAC + mBD) = 1/2(66° + 146°) = 1/2(212°) = 106°Answer:
By applying intersecting chords angle theorem:-
[tex]m\angle BPD= 106[/tex]° [tex]=1/2(BD+AC)[/tex]
[tex]=1/2(146+66)[/tex]
[tex]=1/2\time(212)[/tex]°
[tex]m\angle BPD=106[/tex]°
Answer:- D) 106°
OAmalOHopeO
The price of a hamburger is 3 dollars. what is the price of 90 hamburgers?
Answers
Cost of each Hamburger = $3
Cost of 90 Hamburgers = 3×90
= $270
Therefore cost of 90 hamburgers is $270
Must click thanks and mark brainliest
Click on the graphic to select the figure that would make the following "a reflection in line k."
Answers
Answer: Choice A (both are smiley faces)
This is because the reflection doesn't flip the faces upside down or anything (instead it does a left-right swap in a way). This is why both faces are smiley faces.
Can someone answer this pls
Answers
Answer:
maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute
Step-by-step explanation:
maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.
What is the midpoint of segment AB?
Answers
Answer:
(-1, -3.5)
Step-by-step explanation:
Use the midpoint formula by finding the points of A and B.
A = (-5, -4)
B = (3, -3)
Add the x-values of both coordinates to get the following:
[tex]3_{1} + -5_{2} = -2\\-2/2 = -1[/tex]
Midpoint = (-1, y)
Now we find the y-value by doing the same as we did to the x-coordinates of A and B.
[tex]-3_{1} + -4_{2} = -7\\-7/2 = -3.5[/tex]
Midpoint = (-1, -3.5)
Algebraic math question
Answers
Answer:
[tex] 7 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of the trapezoidal table
[tex] =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2[/tex]
[tex] = 7 \: {ft}^{2} [/tex]
Answer:
7 ft squared
Step-by-step explanation:
Area of the trapezoidal table
hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks a lot.
Answers
Area of a square is side^2
Diagonal of a square is sqrt(2) x side
Using this rewrite the area formula as :
1/2 x diagonal^2
Area = 1/2 x 40^2 = 800
Area = 800 m^2
Answer = b) 800m^2
please help me by answering this?
Answers
Answer:
180
Step-by-step explanation:
[tex]\frac{6}{2} x^{2} | \frac{8}{2}[/tex]
192-12=180
The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y
(b)
That value of y when x=5
(c)
The value of x when y=12
Please help me answer my hw, thank you!
Answers
Answer:
A) 3
B)60
C)4
Step-by-step explanation:
y = kx
36 = 12k
A)k=3
~~~~~~~~~~
b) 60
12*5
c) 4
12/3
Help anyone can help me do this question,I will mark brainlest.
Answers
Answer:
Question 3: 220 centimeters
Question 4: 31.4 millimeters
Step-by-step explanation:
Question 3:
Formula for circumference: 2πr
2πr
Exchange π for 22/7
2 · (22/7) · r
Exchange r (radius) for 35
2 · (22/7) · 35
Simplify:
2 · (22/7) · 35
44/7 · 35
220; 220 centimeters
Question 4:
Formula for circumference: 2πr
2πr
Exchange π for 3.14
2 · 3.14 · r
Exchange r (radius) for 5
2 · 3.14 · 5
Simplify:
2 · 3.14 · 5
6.28 · 5
31.4; 31.4 millimeters
Answer:
220 cm31.4 mmStep-by-step explanation:
Concept:
Here, we need to know the idea of circumference.
The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.
Circumference = 2πr
Solve:
Question # 1
r = 35 cm
π = 22/7
Circumference = 2πr
Circumference = 2 (22/7) (35)
Circumference = 2 (110)
Circumference = 220 cm
Question # 2
r = 5 mm
π = 3.14
Circumference = 2πr
Circumference = 2 (3.14) (5)
Circumference = 10 (3.14)
Circumference = 31.4 mm
Hope this helps!! :)
Please let me know if you have any questions
what is the relation that represents the relation
Answers
Answer:
what can i help u with
Step-by-step explanation:
I really can't help u with that sorry i am bad at math
What is the value of the expression below when z=10z=10 and w=4w=4? 2z-3w 2z−3w
Answers
Answer:
8
Step-by-step explanation:
more details
2(10)-3(4)
20-12
8
Iliana rotated trapezoid WXYZ 180° about the origin.
On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).
What is the correct set of image points for trapezoid W’X’Y’Z’?
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)
Answers
Answer:
The answer is A. W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
Step-by-step explanation:
Answer:
The answer is A i got A 100 on the test here or the rest of the anwers for the test
Tanya’s rotation maps point K(24, –15) to K’(–15, –24). Which describes the rotation?
90 degrees clockwise rotation ✔
270 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation
Triangle XYZ is rotated 90° clockwise about the origin.
On a coordinate plane, triangle X Y Z has points (negative 3, 1), (4, 4), (4, 1).
What are the coordinates of point X’?
(1, 3) ✔
(3, –1)
(3, 1)
(–1, –3)
Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?
X’(1, 1), Y’(-4, 3), Z’(1, 5) ✔
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
180 degrees rotation ✔
270 degrees clockwise rotation
90 degrees counterclockwise rotation
90 degrees clockwise rotation
A rotation maps point A to A’.
On a coordinate plane, point A prime is (negative 3, 4) and A is (3, negative 4).
Which statement describes the rotation?
270° counterclockwise rotation
90° clockwise rotation
180° rotation ✔
90° counterclockwise rotation
Rectangle PQRS is rotated 90° counterclockwise about the origin.
On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).
What are the coordinates of point Q’?
Q’( –3, 5) ✔
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)
Xochitl went to the store to buy some cherries. The price per pound of the cherries is $4 per pound and she has a coupon for $3.50 off the final amount. With the coupon, how much would Xochitl have to pay to buy 3 pounds of cherries? Also, write an expression for the cost to buy pp pounds of cherries, assuming at least one pound is purchased
Answers
Explanation:
4$ per pound
3.5$ coupon
If he buy 3 pound he would need to pay 12$ but since he a 3.5$ coupon thus 12 - 3.5 = 8.5$
Can also written as an expression:
4x - 3.5 = x
Where x determine the amount of pound that is bought.
Xochitl needs to pay $8.50 to buy 3 pounds of cherries.
The expression for the cost to buy p pounds of cherries would be
$(4p - 3.50)
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, The price per pound of the cherries is $4 per pound and she has a coupon for $3.50 off the final amount.
Therefore, The cost of 3 pounds of cherries before the discount would be,
= $(3×4).
= $12.
And after the discount, it would be $(12 - 3.50).
= $8.50.
An expression for the cost to buy p pounds of cherries would be,
= $(4p - 3.50)
learn more about equations here :
https://brainly.com/question/29657992
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