We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2
So,
cos 130 + cos 110 + cos 10
cos 130 + 2cos (110+10)/2 × cos( 110-10)/2
cos 130 + 2cos 60 × cos 50
cos ( 180 - 50 ) + 2cos60 cos 50
We know, cos ( 180 - A ) = -cos A
2cos 60 cos 50 - cos 50
Also, cos 60 = 0.5
2×0.5 cos 50 - cos50
cos 50 - cos 50
0 = RHS.
Hence proved
Which sequence of transformations takes A to its image A'?
A. a translation 1 unit down followed by a reflection in the x-axis
B. a reflection in the x-axis, followed by a translation 1 unit down
C. a translation 3 units to the left, followed by a clockwise rotation 180 about the origin
D. a reflection in the y-axis, followed by a clockwise rotation 180 about the origin
Answer:
a
Step-by-step explanation:
hope this help mark me brainlist plz
The correct sequence of transformations takes A to its image A' is,
⇒ A translation 1 unit down followed by a reflection in the x-axis.
What is mean by Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
The sequence of transformations takes A to its image A'.
Now, We have;
The coordinate of A are (4, 5)
And, The coordinate of A' are (4, - 4)
Hence, The correct sequence of transformations takes A to its image A' is,
⇒ A translation 1 unit down followed by a reflection in the x-axis.
Learn more about the transformation visit:
https://brainly.com/question/30097107
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error
question not used
the product of 2 and the difference of a number and 9
Answer: 2(x-9)
Step-by-step explanation:
How do you further solve this?
Answer:
x = ±√89-30 cos(55) (everything is under the radical)
and then plug the radical into a calculator and you get two answers:
x1= -9.39873
x2=9.39873
Step-by-step explanation:
i hope this helped :)
As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.
Answer:
about 30 km. If it wasn't estimated, it would be 30.8994048 km.
Answer:
12
Step-by-step explanation:
3000-{ ( 3848 : 74 + 23 x 12 ) x 8 } - ( 125 x 14 : 10 ) =
Answer:
2739
Step-by-step explanation:
3000-(52+276:8)-(1750:10)
3000-(52+34)-175
3000-86-175=2739
13 less than the product of a number and 6 is 5
Answer: Excuse me, what do you mean "and 6 is 5?"
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?
Answer:
37.7
Step-by-step explanation:
C = 2 pi r
C= πd
12× 22/7
= 264/7
= 37.71cm
Pls help need answers fast
Answer:
1. 11-y=-9
2. 41+w=26
3. r÷6=-4
4. 18(p)=54 or 18×p=54
5. Yes V= -52
6. Yes Z= -3
7. No would equal 43
8. No T would equal positive 6.
9. B
10. C
11. D
12. A
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2
5,1,0,4,0 what is the range?
Answer:
range: 4
Step-by-Step Explanation:
plz help me i really beg of you!
Answer:
v = -122.5
Step-by-step explanation:
1: 2.3 + v/7 = -15.2
2: v/7 = -17.5
3: v = -122.5
Step 1: This is the given equation
Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v
Step 3: both sides of the equation were multiplied by 7 to get v = -122.5
Answer:
245 over 2
Step-by-step explanation:
just use a calculator and you should be able to get the question right
How many fewer 14 starfish are there than 16 jellyfish and 4 sharks
Answer:
6 fewer starfish
Step-by-step explanation:
16+4=20
20-14=6
6 fewer starfish are there.
What is the total area of the shaded region? Type just the answer in the blank.
Answer:
240cm
Step-by-step explanation:
6cm*14cm= 84cm
6*6=36
84+36=120*2=240
Answer:
7cm x 8cm
Step-by-step explanation:
The 14cm x 12cm box (top 'box 1') intersects with the 14cm x 12cm box (bottom 'box 2').
Half the values of each side are subtracted from one another, so
horizontal length: 14/2 = 7cm
vertical length: 12/2 = 6cm
Box 2 horizontal length (total) = 14cm devided by half the length of box 1 (7cm)
14 - 7 = 7cm
Box 2 vertical length (total) = 12cm devided by half the length of box 1 (6cm)
12 - 6 = 6cm
The total area is calculated by multiplying the horizontal and vertical lengths
7x6 = 42
the answer is 42
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Look at pic and pls halp
PLEASE HELP ASAP please someone help me so far my day has sucked and I need help. this is easy math just help meeeee.
5/6 +4/5
please help me answer correctly my grade depends on it
Answer:
1 19/30
Step-by-step explanation:
Answer:
NEVERMIND (I thought 45/30, but i dont know)
Step-by-step explanation:
After you have opened a checking account and made a deposit, you may write
checks. A check directs the bank to deduct money from your checking account to
make a payment. Your account must contain as much money as the amount of the
check you are writing to avoid overdrawing your account.
Write each amount in words as it would appear on a check.
Answer:
kentrell top Guadlin 4kt
Megan had some money in her wallet. Her mom gave her $38.25 to go shopping. Now Megan has fifty dollars. How much money did Megan have in her wallet before her mom gave her money?
Answer:
$11.75
Step-by-step explanation:
50-38.25=11.75
Answer:
She had $11.75 in the beginning
Step-by-step explanation:
Subtract
50-38.25
you should get 11.75
hope this helps
take care
5-4x=23
What's the value of x and please show your work.
Answer:
x = 9/2 or 4.5
Step-by-step explanation:
5-4x=23 |-5
5-4x-5=23-5
-4x=18 |*(-1)
4x=18 | /2
2x=9 |/2
x=9/2 or 4.5
Answer:
x = 4.5
Step-by-step explanation:
Subtract 5 from BOTH sides to start with:
5-5 = 0 (5 cancels out on left side) 23-5 = 18
New Equation: -4x = 18
Divide BOTH sides by -4
4 cancels out (x is left) 18/4 = 4.5
New: x = 4.5
A circular light fixture has a radius of 20 centimeters.what is the circumference of the light fixture
Answer:
[tex]\boxed {\boxed {\sf 40 \pi \ cm, 125.6 \ cm, or \ 125.6637061 \ cm}}[/tex]
Step-by-step explanation:
Circumference can be found by multiplying the diameter of the circle by pi.
[tex]c= \pi d[/tex]
We are given the radius, which is 20 centimeters. We need the diameter, which is twice the radius.
[tex]d= 2r[/tex]
[tex]d= 2(20 \ cm)[/tex]
[tex]d= 40 \ cm[/tex]
Substitute the diameter into the formula. There are many ways to calculate circumference, so I included a few options.
1. In Terms of Pi
If we solve in terms of pi, we leave π in the answer.
[tex]c=\pi ( 40 \ cm)[/tex]
[tex]c= 40 \pi \ cm[/tex]
2. Using 3.14 as Pi
[tex]c=\pi ( 40 \ cm)[/tex]
Substitute 3.14 in for pi.
[tex]c= (3.14)(40 \ cm)[/tex]
[tex]c=125.6 \ cm[/tex]
3. Using 3.14159 as PI
[tex]c=\pi ( 40 \ cm)[/tex]
Use the pi button on a calculator.
[tex]c= 125.6637061 \ cm[/tex]
The circumference of the light fixture is 40π, 125.6 cm, or 125.6637061 cm
2x2 + 8x - 7 = 0
How to solve
x =(8-√120)/4=2-1/2√ 30 = -0.739
Step-by-step explanation: calculator
Answer:
2 x 2 +8x -7= 0
4+8x-7=0
-3+8x=0
8x=0+3
8x/8=3/8
x=3/8
x=0.375
Step-by-step explanation:
1.Multiply 2x2 to get 4
2.Calculate the difference between 4-7
3.Move the constant to the right side
4.Divide both sides of the equation by 8
All the factors of 7 are also factors of 14. True or False?
Answer:
true
Step-by-step explanation:
5/6 / 1/3 equals what
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Division of Fractions
Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.
Given the fractions:
[tex]\frac{a}{b}[/tex]
[tex]\frac{c}{d}[/tex]
The division:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]
can be done by multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]
We are given the fractions 5/6 and 1/3. Their division is:
[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]
Simplifying:
[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]
Answer: [tex]\mathbf{\frac{5}{2}}[/tex]
Cost of shoes $29.95
Markup: 20%
What is the new cost?
New cost = original price x (1 + markup)
New cost = 29.95 x ( 1 + 0.20)
New cost = $35.94
If x=3y substitute the value of x into expression simplify 3x+6
Answer:
(3y)3+6
Step-by-step explanation:
Practice using graphs of equivalent ratios. On a coordinate plane, point (2, 3) is plotted.A 2-column table with 3 rows. Column 1 is labeled x with entries 2, blank, blank. Column 2 is labeled y with entries 3, blank, blank. The table shows one point from the given graph. How could you find more ordered pairs to create a graph and table of equivalent fractions? Check all that apply. Include the point (0, 0), which is on every graph of equivalent ratios. Multiply both 2 and 3 by 4. Multiply 2 by 2 and 3 by 3. Start at the point on the grid. Move right 2 and up 3 and plot the point. Multiply 2 by 3 and 3 by 2.
Answer:
2
Step-by-step explanation:
if you multiply 2 by 3=6
2×2=43×3=9Answer:
B: Using the table,multiply 2 and 1 both by 3
Step-by-step explanation:
Just took the quiz on Edge 2021
the length of a living room is 12 fert and its width is 10 1/2 feet. the length of the room is being expanded by x feet. select all the expressions that represent the area of the living room in square feet
Answer:
vbhjnkmlnkbjvhcgfdxgcvhbjnncnng
Step-by-step explanation:
cxvcxbvcbcvbvcbcvbvcvbb
Answer:
thanks
Step-by-step explanation:
1. If the original price of an item was 75 cents and the new price is 81 cents, 1 pc
what is the percent change? (MAKE SURE YOU TYPE % AT THE END OF
YOUR ANSWER) *
Your answer
Answer:
8%
Step-by-step explanation:
Original Price = 75 cents New Price = 81 cents, % increase = ?
% increase = 81 - 75/75 × 100%
% increase = 6/75 × 100%
% increase = 8% ( Ans)
Solve to find X. 3 ≥ -3x
Answer:
-1 ≤ x
Step-by-step explanation:
You just need to divide -3 on both sides.
-1 ≤ x
Note that since you are dividing by a negative number, the sign flips.
-1 ≤ x
Step-by-step explanation:
First start with the equation:
3 ≥ -3x
divide by -3 to get x positive and singular:
-1 ≥ x
and since we divided by a negative we need to flip the sign:
-1 ≤ x would be your answer
hope this helped :)
