Answer: 5+10=15
Step-by-step explanation:
Answer:
10+5=15
Step-by-step explanation:
there is a nother way to get 15. 5+5=10+5=15
Please help me to prove this.
For triangle : A + B + C = π
⇒ A + B = π - C
⇒ cot(A + B) = cot(π - C)
⇒ [tex]\sf\dfrac{cotA\:cotB-1}{cotB+cotA}=-cotA[/tex]
⇒ [tex]\bf{cotA\:cotB+cotB\:cotC+cotC\:cotA=1}[/tex]
Now 1st part of the given expression!
⇒ [tex]\sf\dfrac{cosA}{sinB\:sinC}[/tex]
⇒ [tex]\sf\dfrac{cos(\pi-(B+C))}{sinB\:sinC}[/tex]
⇒ [tex]\sf\dfrac{-cosB\:cosC+sinB\:sinC}{sinB\:sinC}[/tex]
⇒ 1 - cotB cotC
Similarly 2nd part!
⇒ 1 - cotA cotB
Similarly 3rd part!
⇒ 1 - cotC cotA
LHS :
[tex]\circ\:\sf{3-(cotA\:cotB+cotB\:cotC+cotC\:cotA)}[/tex]
[tex]\circ\:\sf{3-1}[/tex]
[tex]\circ\:\bf{2}[/tex] = RHS
Hence Proved!!Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ B + C = π - A
→ A + C = π - B
Use the following Double Angle Identity: sin 2A = 2 sin A · cos A
Use the following Cofunction Identity: sin A = cos (π/2 - A)
Use the following Sum to Product Identity:
sin A + sin B = sin [(A + B)/2] · cos [(A - B)/2]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \dfrac{\cos A}{\sin B\cdot \sin C}+\dfrac{\cos B}{\sin C\cdot \sin A}+\dfrac{\cos C}{\sin A\cdot \sin B}\\\\\\.\qquad \quad = \bigg(\dfrac{2\sin A}{2\sin A}\bigg)\dfrac{\cos A}{\sin B\cdot \sin C}+\bigg(\dfrac{2\sin B}{2\sin B}\bigg)\dfrac{\cos B}{\sin C\cdot \sin A}+\bigg(\dfrac{2\sin C}{2\sin C}\bigg)\dfrac{\cos C}{\sin A\cdot \sin B}\\\\\\.\qquad \quad =\dfrac{2\sin A\cdot \cos A+2\sin B\cdot \cos B+2\sin C\cdot \cos C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Double Angle:}\qquad \qquad \dfrac{\sin 2A+\sin 2B+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{(\sin 2A+\sin 2B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{2\sin (A+B)\cdot \cos (A-B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Given:}\qquad \qquad \qquad \dfrac{2\sin (\pi -C)\cdot \cos (A-B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{2\sin C\cdot \cos (A-B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Double Angle:}\qquad \qquad \dfrac{2\sin C\cdot \cos (A-B)+2\sin C\cdot \cos C}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{2\sin C(\cos (A-B)+\cos C)}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{2\sin C(2\cos (\frac{A-B+C}{2})\cdot \cos (\frac{A-B-C}{2})}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{4\sin C\cdot \cos (\frac{A+C}{2}-\frac{B}{2})\codt \cos (\frac{A}{2}-\frac{B+C}{2})}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Given:}\qquad \qquad \dfrac{4\sin C(\frac{\pi-B}{2}-\frac{B}{2})\cdot \cos (\frac{A}{2}-\frac{\pi -A}{2})}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad =\dfrac{4\sin C(\frac{\pi}{2}-B)\cdot \cos (\frac{\pi}{2}-A)}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Cofunction:}\qquad \qquad \dfrac{4\sin C\cdot \sin B\sin A}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =2[/tex]
LHS = RHS: 2 = 2 [tex]\checkmark[/tex]
simplify
t+[tex]\frac{t^{2} }{2}[/tex] + [tex]t^{2}[/tex] + t
Answer:
Step-by-step explanation:
47 kg of potatoes cost $517. How many kilograms of
potatoes can you get with $154 ?
Step-by-step explanation:
47kg of potatoes is $517
That means 1kg of potatoes is 517/47 = $11.
$154 / $11 = 14.
Hence with $154, you can get 14 kilograms of potatoes.
18+7= 50/2 is it true or false?
Answer:
It is True
Step-by-step explanation:
18+7=25
50/2=25
25=25
which equation has no solution? Please I need this answer A} |4x-2|=-6 B} |-2-x|=9 C} |3x+6|=6 D} |-2x+8|=0
Answer:
A|4x-2|=-6
Step-by-step explanation:
A. The absolute value of an equation cannot equal a negative number.
Answer:
A
Step-by-step explanation:
What is the definition for point
Answer:
"In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built, meaning that a point cannot be defined in terms of previously defined objects"
hope that helped lol
Which number(s) below belong to the solution set of the equation? Check all
that apply.
14x = 112
OA. 8
O B. 112
O C. -6
D. 16
E. 22
F. 28
PREVIOUS
Answer: A
Step-by-step explanation: A because if we do 14X8 that equals 112.
3.9x + 1.4 = 17 what is the steps
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]3.9x + 1.4 = 17[/tex]
Having a decimal is not very nice to deal with, so we multiply all sides by 10 to get rid of the decimals.
[tex]3.9x*10+1.4*10=17*10[/tex]
[tex]39x+14=170[/tex]
Subtract 14 from both sides:
[tex]39x+14-14=170-14[/tex]
[tex]39x=156[/tex]
Divide both sides by 39:
[tex]\frac{39x}{39}=\frac{156}{39}[/tex]
[tex]x=4[/tex]
Emma drinks 2/3 cups of water for every mile she hikes. Her water bottle holds 4 cups of water. How many miles can she hike before her water runs out?
Given that:
Emma drinks 2/3 cups of water for every mile she hikes.
Capacity of water bottle = 4 cups
To find:
The number of miles she can hike before her water runs out.
Solution:
According to the given information,
[tex]1\text{ mile}=\dfrac{2}{3}\text{ cup}[/tex]
Multiply both sides by 3.
[tex]3\text{ miles}=2\text{ cups}[/tex]
Divide both sides by 2.
[tex]\dfrac{3}{2}\text{ miles}=1\text{ cup}[/tex]
It means, she need 1 cup water for every 3/2 miles.
Multiply both sides by 4.
[tex]\dfrac{3}{2}\times 4\text{ miles}=1\times 4\text{ cups}[/tex]
[tex]6\text{ miles}=4 \text{ cups}[/tex]
Therefore, she can hike 6 miles before her water runs out.
10 points A recipe calls for 1/6 cup of sugar. If Alexis has 4 cups of sugar, how many batches can she make?
Answer;
24
Step-by-step explanation:
4 divided by 1/6 is 24
Some regular polygons have an even number of sides. Other regular polygons have an
odd number of sides. How does the number of sides, even or odd, affect the position
of the line of reflection for mapping the polygon onto itself? Explain. Use GeoGebra to
guide you, if you wish
Answer:
Picture has got.
Step-by-step explanation:
"Some men must put the wrong answer down, what makes them a good person is not whether or not their answer was right, it was that they shared the right answer to Brainly." -Me 2020
Answer:
When a line of reflection coincides with a line of symmetry, the polygon maps onto itself. The position of the line of symmetry depends on the number of sides. For regular polygons with an even number of sides, lines of symmetry are the perpendicular bisectors of the opposite sides and the angle bisectors of opposite vertices. However, the symmetry of regular polygons with an odd number of sides does not allow lines of symmetry to connect the opposite pairs of vertices, so they have symmetry only along the perpendicular bisectors.
Step-by-step explanation:
PLATO
Point M is the midpoint of AB. The coordinates of point A are (−8, 2) and the coordinates of M are (−3, 2). What are the coordinates of point B?
Answer:
B is (2, 2)
Step-by-step explanation:
since the y is 2 for m and a, y is also 2 for b. -3 and -8 are 5 away from each other. so add 5 to -3 to get 2.
The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.
Answer:
answer in picture
Step-by-step explanation:
WHAT IS THE LCM OF 10, 15, AND 20?
Answer: LCM of 5 ,10, 15, 20 is 60
Which equation can be used to determine the number of passenger stops, p, Mr. Martin had on Tuesday? 14 = 0.5p + 12 14 = 12p + 0.5 p = 0.5(14) + 12 p = 12(14) + 0.5
Answer:
14=0.5p+12
Step-by-step explanation:
i just did it lol
Answer:
a
Step-by-step explanation:
The figure below is made of two triangular prisms. What is the volume of the figure?
Answer:
896 in³
Step-by-step explanation:
1/2(8)(7)(14)=392
1/2(6)(12)14=504
392+504=896
Measuring Segmants.
Answer:
CD = 3, FD = 9
Not congruent
Step-by-step explanation:
Its a number line. count the dots and you get the answer
Given g(x)=5-6x, evaluate g(-5)
Answer:
35
Step-by-step explanation:
Since we want g(-5) we plug in -5 for x in the given equation.
g(x) = 5 - 6x
g(-5) = 5 - (6(-5))
g(-5) = 5 - (-30)
g(-5) = 5 + 30
g(5) = 35
YALL ARE INSANE IF YOU GET THIS! | Simplify (4x - 6) – (5x + 1). (1 point)
X + 7
b
-X + 7
C
X - 7
d
-X - 7
Answer:
Simplify (4x − 6) − (5x + 1).
I believe it would be -x - 7.
Step-by-step explanation:
I took the test and got the answer correct.
Hope this helps! :)
david used a scale 1 cm = 5 m to build a boat if the model is 8cm long , how long is the boat.
Answer:
40m
Step-by-step explanation:
8 times 5
The length of the boat is calculated using scale factor as 40 m.
What is Scale factor?The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.
The scale factor for the given model can be calculated as,
Scale factor = Dimension of boat ÷ Dimension of model
= 5 ÷ 1
= 5
Now, the new length of the boat for 8 cm length of the model is given as,
New length = Scale factor × Length of model
= 5 × 8
= 40 m.
Hence, the length of the boat is given as 40m.
To know more about scale factor click on,
https://brainly.com/question/29464385
#SPJ2
helppp I am posting this one again... sorry!
Answer:
120 degrees
Step-by-step explanation:
360/3=120
The midpoint of the points (5, 5) and (-1, 3) is:
(2.4)
(4,8)
(5, 1)
(3, 4)
Answer:
Step-by-step explanation:
(5 - 1)/2= 4/2 = 2
(5+3)/2= 8/2= 4
(2,4)
In the previous scenario, 8 cookies cost 4 dollars. If the scenario was changed
So 6 cookies cost $4, would the unit rate be higher or lower? Explain.
Answer: Lower
Step-by-step explanation: It is lower because the unit rate is 8:4 and now the unit rate is 6:4
It would be higher because smaller numbers means more value per unit.
What happens to a point when it is reflected over the y-axis?
The coordinates stay the same.
The x-coordinate changes.
The y-coordinate changes.
Both coordinates change.
Answer:
the x-coordinates changes.
Step-by-step explanation:
i just done that question..
When a point is reflected over the y-axis then x-coordinate changes. so the correct option is B.
What is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If study it more, we will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Thus, if reflecting a point (x,y) along x axis, then its x abscissa will stay same but y ordinates will negate. Thus (x,y) turns to (x, -y)
Similarly, if reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)
The correct option is B; the x-coordinate changes.
Read more on reflection here:
brainly.com/question/12092571
#SPJ6
Point C (2, 2) is the center of the circle. What is the ratio of the length of line segment AC to length of line segment DC?
A. 1:2
B. 2:1
C. 1:1
D. 3:1
Answer: 1:1
Step-by-step explanation:
-6 (y + 15) = -3y +6
What value of y makes the equation true?
If BD bisects
ABC, ABD = 2x + 3, and
DBC = 3x - 13, find ABD.
Answer:
35
Step-by-step explanation:
Since its an angle bisector, both angles would be equal to each other.
3x-13=2x+3
Now you need to get x alone.
Subtract 2x from each side.
x-13=3
Still need x alone so add 13 to each side (since it negative addition)
x=16
You have x, but you need ABD
Plug 16 in for x
2(16)+3
32+3
35
Identify the error below and make a correction,
The absolute
value of 15 is
-15 because 15 is
15 units to the
left of zero.
Type error and correction here...
Answer:
the absolute value of -15 is 15 because you are basically moving 30 spaces to the right to make the number positive
What is 4 5/6 as a decimal ? - show work plz:(
Turn the fraction into a improper fraction.
4 5/6 -> 29/6
Divide both numbers.
29 / 6 = 4.833...
Best of Luck!
Answer:
this is my question
Step-by-step explanation:
5(2x + 7) – 3(x + 5)
☽------------❀-------------☾
Hi there!
~
Simplify the expression.
[tex]5(2x + 7) – 3(x + 5)[/tex]
[tex]=[/tex]
[tex]7x + 20[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Step-by-step explanation:
let's start with 5(2x+7)
first you need to multiply 5 by 2x which = 10x
then multiple 5 by 7 which =35
That's 10x+35
The second part is -3(x+5)
-3 by x= -3x
-3 by 5= -15
So that becomes -3x-15
Put everything together and it's 10x+35-3x-15
First you do 35-15=20
Then 10x-3x=7x
the answer is 20+7x or 7x+20 (pretty sure it's kind of hard to do this typing out)
