Find the measure of of RA. A. 24 B. 2 C. 12 D. 3
Answer: 24
Step-by-step explanation:
R= 3
You can find this using simple algebra
The measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have a triangle shown in the picture.
It is required to find the measure of the RA
To find the measure of the RA we can apply the concept of congruent triangle:
In the triangle LRU and triangle LAU
LU = LU (common side)
LR = LA (equal sides)
Angle RLU = Angle ALU (equal)
The triangles are congruent.
RU = UA
18 - 2r = 4r
6r = 18
r = 18/6 = 3
The measure of the RA = 18 - 2r + 4r = 18 + 2r
The measure of the RA = 18 + 2(3) = 18+6 = 24 units
Thus, the measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
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Find the term that must be added to the equation x2+4x=1 to make it into a perfect square
The x term has a coefficient of 4. Take half of this to get 2, then square it to get 4. This is the value we add to both sides to get x^2+4x+4 = 5. Note how x^2+4x+4 factors into (x+2)^2
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Another example: Let's say we started with x^2+6x = 1. To complete the square, we need to add 9 to both sides. I start with 6 (the x coefficient) and cut that in half to get 3, then I squared that to get 9. So we add 9 to both sides getting x^2+6x+9 = 10 which becomes (x+3)^2 = 10
The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.
What is Quadratic equation?In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term.
For example
Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.
Given :
x²+4x=1
as, the x has coefficient 4.
so half the coefficient of x and add and subtract the square of the remaining.
x²+4x + 2 ² - 2² =1
Now, make the whole square term
x²+4x + 2 ² - 4 - 1=0
( x + 2)² -5= 0
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Which statements are true based on the diagram? Check all that apply.
Points A, B, and D are on both planes.
Point H is not on plane R.
Plane P contains point F.
Points C, D, and A are noncollinear.
The line containing points F and G is on plane R.
The line containing points F and H is on plane R.
Answer:
The answer to this is a, b, d, e
Step-by-step explanation:
Answer:
A, B, D, E
Step-by-step explanation:
One root of a quadratic that has real coefficients is 2-3i. What is the other root?
Answer:
2+3i
Step-by-step explanation:
imaginary roots come in pairs
If you're good at trigonometry please help meeeeeee
Answer:
Hey there!
What we know:
The three triangles (two smaller ones and one larger one, are all right triangles)Measure of angle A is 42 degrees.Measure of angle C is 58 degrees.AC is 65 m.What we would like to know:
ABBDFirst, let's find AB.
Sine 58= AB/65
Solving for AB, we see that it is about 55.12 m.
Next, let's find BD.
Sine 42= BD/55.12
Solving for BD, we see that it is about 36.88 m.
Let me know if this helps :)
Mariah bought a shirt for $28.50 and a belt. The total cost was $45.50. Which of the following equations can be used to find the cost of the belt? A. 28.50 + b= 45.50 B. 45.50 + b= 28.50 C. b= 28.50 - 45.50 D. b= 28.50 * 45.50 Please include work!!
Answer:
a is the answer 28.50 + b = 45.50
Step-by-step explanation:
so if i move 28.50 to the right side then it becomes b=45.50-28.50 and that equals to 17 . hope i helped have a great day
=================================================
Explanation:
28.50 = cost of shirt
b = cost of belt, some unknown value
45.50 = total cost (given)
28.50+b = total cost (add the first two items shown above)
equate the two total cost expressions to end up with 28.50+b = 45.50
In triangle PQR, m∠P = 83°, PQ = 7.6, and PR = 8.6. What is m∠R to the nearest degree? A. 45° B. 55° C. 35° D. 41°
Answer:
The unknown measurement of angle R to the nearest degree is 41°
Step-by-step explanation:
As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.
in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.
So, our equation will look like this.
[tex]tanx=\frac{7.6}{8.6}[/tex]
Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.
[tex]x=\frac{7.6}{8.6}(tan^-^1)[/tex]
Now, we solve. You can use a calculator to do these calculations.
The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
One-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
One-fourth (2 + v) = 3; v = 4 pounds of chopped vegetables
4 (2 + v) = 3; v = 1 pound of chopped vegetables
4 (2 + v) = 3; v = 5 pounds of chopped vegetables
Answer: (2+v) =3; v =10 pounds of chopped vegetables.
Step-by-step explanation:
the answer is:
a. one-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
i need this quick!!! please hurry!! Solve the following proportion for X. X over 5 = 17 over 3 Round your answer to the nearest tenth.
Answer:
[tex]\huge\boxed{x = 28.3}[/tex]
Step-by-step explanation:
=> [tex]\frac{x}{5} = \frac{17}{3}[/tex]
Cross Multiplying
=> x * 3 = 5 * 17
=> 3x = 85
Dividing both sides by 3
=> x = 85/3
=> x = 28.3 (To nearest tenth)
Answer:
[tex]\Huge \boxed{x=28.3}[/tex]
Step-by-step explanation:
The proportion is given,
[tex]\displaystyle \frac{x}{5} =\frac{17}{3}[/tex]
We need the x variable isolated on one side, so we can find the value of x that makes the proportion true.
Multiply both sides of the equation by 5.
[tex]\displaystyle \frac{x}{5} \times (5)=\frac{17}{3} \times (5)[/tex]
Simplify the equation.
[tex]\displaystyle x=\frac{85}{3}[/tex]
[tex]x=28.33333333...[/tex]
The value of x that makes the proportion true is 28.3 (rounded to nearest tenth place).
What is the mode of the data represented in the dot plot shown in the image? A. 0 B. 1 C. 2 D. 3 Show all work!
Answer:
2
Step-by-step explanation:
The mode is the number that appear most often
The number with the most dots is 2
The mode is 2
The mode in any data set is the number that gets represented the most.
As you can see on the plot, the number that gets represented the most is 2.
Best of Luck!
2x3 + 10x2 − 4x2y − 20xy
Answer:
-20xy -8y+26
Step-by-step explanation
First Multiply 2 by 3.
6 + 10 x 2 - 4 x (2y) - 20xy
Then Multiply 10 by 2.
6+20-4x(2y)-20xy
After that Multiply 2 by -4.
6+20-8y-20xy
Lastly add 6 and 20.
26 -8y -20xy
Help please all questions.
Answer:
A is A=25
B=10
B is 40
C is A=10
B=6.428
hope i helped you
sorry if it is incorrect
A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks
35m is the answer to the problom
Answer:
the correct answer is 13
Step-by-step explanation:
i got it correct on the test, hope this helps:)) !
How does 4D shape look like?
Answer:
here you go
i hope i helped you
Step-by-step explanation:
Answer:
It would look like these shapes on the picture
Step-by-step explanation:
It is a shape with another one of it inside it, you should see it on the pictturres.
Hope this helped you
Please mark as brainlist.
Jovie is maintaining a camp fire. She has kept the fire steadily burning for 10 hours with 15 logs. She wants to know how many hours (h)left parenthesis, h, right parenthesis she could have kept the fire going with 9 logs. She assumes all logs are the same.
Answer:
6 hours
Step-by-step explanation:
We can use ratios to solve
10 hours x hours
-------------- = -------------
15 logs 9 logs
Using cross products
90 = 15x
Divide by 15
90/15 = 15x/15
6 = x
6 hours
Answer:
Below
Step-by-step explanation:
Jovie has maintained the fire burning with 15 logs for 10 hours.
● 15 => 10
Let's find how many hours do 9 logs keep the fire burning.
Let x be that time
● 9 => x
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 15 => 10
● 9 => x
● 15 * x = 9×10
● 15x = 90
● x = 90/15
● x = 6
So the time that the fire will keep burning is 6 hours.
a countrys population in 1995 was 206 million. In 1998 it was 210 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million
Answer:
254 million
Step-by-step explanation:
In a calculator it would to
210 x 1,0194^(10)
please help me.... The question no.b and would like to request you all just give me correct answer.
Answer: see proof below
Step-by-step explanation:
You will need the following identities to prove this:
[tex]\tan\ (\alpha-\beta)=\dfrac{\tan \alpha-\tan \beta}{1+\tan \alpha\cdot \tan \beta}[/tex]
[tex]\cos\ 2\alpha=\cos^2 \alpha-\sin^2\alpha[/tex]
LHS → RHS
[tex]\dfrac{2\tan\ (45^o-A)}{1+\tan^2\ (45^o-A)}\\\\\\=\dfrac{2\bigg(\dfrac{\tan\ 45^o-\tan\ A}{1+\tan\ 45^o\cdot \tan\ A}\bigg)}{1+\bigg(\dfrac{\tan\ 45^o-\tan\ A}{1+\tan\ 45^o\cdot \tan\ A}\bigg)^2}\\\\\\=\dfrac{2\bigg(\dfrac{1-\tan\ A}{1+\tan\ A}\bigg)}{1+\bigg(\dfrac{1-\tan\ A}{1+\tan\ A}\bigg)^2}\\\\\\=\dfrac{2\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{1+\bigg(\dfrac{1-2\tan\A+\tan^2 A}{1+2\tan A+\tan^2A}\bigg)}\\[/tex]
[tex]=\dfrac{2\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{\dfrac{(1+2\tan A+\tan^2A)+(1-2\tan A+\tan^2 A)}{1+2\tan A+\tan^2A}}\\\\\\=\dfrac{2\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{\dfrac{2+2\tan^2A}{1+2\tan A+\tan^2A}}\\\\\\=\dfrac{2\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{2\bigg(\dfrac{1+\tan^2A}{(1+\tan A)^2}\bigg)}\\\\\\=\dfrac{\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{\bigg(\dfrac{1+\tan^2A}{(1+\tan A)^2}\bigg)}[/tex]
[tex]=\dfrac{1-\tan A}{1+\tan A}}\times \dfrac{(1+\tan A)^2}{1+\tan^2A}\\\\\\=\dfrac{1-\tan^2 A}{1+\tan^2 A}\\\\\\=\dfrac{1-\dfrac{\sin^2 A}{\cos^2 A}}{1+\dfrac{\sin^2 A}{\cos^2 A}}\\\\\\=\dfrac{\bigg(\dfrac{\cos^2 A-\sin^2 A}{\cos^2 A}\bigg)}{\bigg(\dfrac{\cos^2 A+\sin^2 A}{\cos^2 A}\bigg)}\\\\\\=\dfrac{\cos^2 A-\sin^2 A}{\cos^2 A+\sin^2 A}\\\\\\=\dfrac{\cos^2 A-\sin^2 A}{1}\\\\\\=\cos^2 A-\sin^2 A\\\\\\=\cos 2A[/tex]
cos 2A = cos 2A [tex]\checkmark[/tex]
35= -5(2k+5)?????? need help
Answer:
k=-6
Step-by-step explanation:
Answer:
[tex]\Large \boxed{k=-6}}[/tex]
Step-by-step explanation:
35 = -5(2k+5)
Expand brackets.
35 = -10k - 25
Add 25 on both sides.
60 = -10k
Divide both sides by -10.
-6 = k
HELP PLEASE URGENT!!!!
Kelly works at her own nail salon. Today, she did 11 manicures and received $46.75 overall in tips If x represents the cost of each manicure, which of the following equations can be used to find the total amount of money she eamed, including tips, for her nail salon today?
Answer:
C...11 manicure X cost of each manicure
11x
46.75 is her tips
total is 11x+46.75
Answer: y= 11x+46.75
Step-by-step explanation:
We know that Kelly did 11 manicures, we don't know how much each manicure costs so we will say that each manicure costs x amount of dollars. If Kelly receives $46.75 in tips and we need to figure out how much she made in total, we add together the tip amount and the cost of the 11 manicures. Which should look like, 11x+46.75=y
PLEASE HELP ME WITH THIS QUESTION FOR MATH!!!!!!!!!!!!!!!!!
Answer:
MON = 130°
Step-by-step explanation:
LOM + MON = 180°
In other words
4z + 30° + 8z + 90 = 180°
12z + 120 = 180
60 = 12z
z = 5
5 x 8 = 40 + 90 = 130°
Answer:
∠MON = 130º
Step-by-step explanation:
∠LON = ∠LOM + ∠MON
∠LON = 180º
180 = (4x + 30) + (8x+ 90)
combine like terms
180 = 12 x + 120
60 = 12x
x = 5
plug x into equations.
∠MON = 8(5) + 90
∠MON = 40 + 90
∠MON = 130º
check work:
∠LOM = 4(5) + 30
∠LOM = 20 + 30
∠LOM = 50
∠LON = ∠LOM + ∠MON
180 = 50 + 130
The graph shows the first 5 terms of the arithmetic sequence, an.
Which is the 6th term of the sequence?
A.)3
B.)6
C.)9
D.)12
E.)18
Answer:
D) 12
Step-by-step explanation:
the graphs slope is 3 using the rise over run method we have found this
now since we know the fifth x value gives a y value of 9 we can add 3 and have 12
Simplify (−3c3w5)3. −9c6w8 −9c9w15 −27c6w8 −27c9w15
Answer:-9c3w5-36c6w8-36c9w15
Answer:
-27c⁹w¹⁵ the last choice
Step-by-step explanation:
Simplifying:
(−3c³w⁵)³= ⇒ each factor gets same power- 3³(c³)³(w⁵)³ = ⇒ power of power = product of powers- 27c⁹w¹⁵ ⇒ correct answer choice is the last oneWhich equation is represented by the phrase “one-fourth of a number, increased by eight equals sixteen”?
One-fourth n + 8 = 16
4 n + 8 = 16
4 n = 16
One-fourth n = 16
Answer:
One-fourth n + 8 = 16
Step-by-step explanation:
basically 1/4n +8=16
George is designing ledges for the octagonal ( 8 side ) gazebo. All sides are equal length, and each ledge much be 18 inches shorter then the sides.
a: what is the minimum length of wood he should purchase if the perimeter of the gazebo is 64 feet ?
b : what as your solution process
Answer:
78 inches or 174 inches (see explanation)
Step-by-step explanation:
If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!
pls help...1.The given right rectangular prism is composed of small cubes. Find the following is the volume of the prism and the volume of one of the small cubes.
Answer:
1. 1.3778 2. 0.0089
Step-by-step explanation:
to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.
so 1x0.83x1.66= 1.3778
you can always convert the fraction into decimal to help you calculate the problem.
i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.
it is 5 by 10 so there are 150 cubes in total.
1.3378 divided by 150=0.0089
im confident about the 1st but not so much with the second
The volume of the rectangular prism is: 1.39 ft³
The volume of one of the small cubes is: 0.0046 ft³
What is the Volume of a Rectangular Prism?Volume of rectangular prism = length × width × height
Given the following:
Length = 1 ft
Width = 5/6 ft
Height = 1⅔ ft
Volume of the rectangular prism = 1 × 5/6 × 1⅔ = 1 × 5/6 × 5/3
Volume of the rectangular prism = 25/18 = 1 7/18 ft = 1.39 ft³
Length of the edge of 1 cube = 1/6 ft
Volume of the 1 cube = (1/6)³ = 1/216 = 0.0046 ft³
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factorise pls answer will mark u the brainliest
Answer:
3m(1-2m)(1+2m+4m^2)
Step-by-step explanation:
Answer:
3m(1-2m)(4m²+2m+1)
Step-by-step explanation:
3m - 24m⁴ (factorize 3m)
=3m(1) - 3m(8m³)
= 3m (1-8m³)
=3m (1³ - 2³·m³)
=3m [ 1³ - (2m)³ ]
recall the cubic formula:
a³ + b³ = (a+b)(a² - ab + b²)
if we apply this to [ 1³ - (2m)³ ], we will eventually get
= 3m(1-2m)(4m²+2m+1)
edit: last step got cut off. fixed
edit 2: by request, i added more detail to the last 2 steps
A. Only sequence A
B. Only sequence B
C. Both
D. Neither
30 POINTS OMG
Any help will be nice...Dont answer for points >:( Correct equations for vertical line (7.5pt) Correct equations for horizontal lines (7.5pt) 1. In many cities and towns across the United States, the numbering system of the roads is based on a grid, similar to the latitude and longitude lines on a globe. Suppose the green lines in the following graph represent two east-west and two north-south running roads in a Midwestern town.
Answer:
See below.
Step-by-step explanation:
Horizontal lines have the equation:
[tex]y=n[/tex]
Where n is the value the horizontal line stays on.
Vertical lines have the equation:
[tex]x=n[/tex]
Where n is the value the vertical line stays on.
For the two north-south lines, one of them stays on -5 and the other stays on 8. Therefore, the two vertical line equations are:
[tex]x=-5 \text{ and } x=8[/tex]
For the two east-west lines, one of them stays on -7 and the other stays on 4.
Therefore, the two horizontal line equations are:
[tex]y=-7 \text{ and } y=4[/tex]
If a 130 mile trip takes 2 hours, what was the speed?
How long does a 35 mile trip at 70 mph take?
Answer:
Question 1's answer is 75 mph
Question 2's answer is 30 minutes
Step-by-step explanation:
Answer:
1. 65mph
2. 1/2 hour
Step-by-step explanation:
1. The equation is D=R×T. Since the distance was 130 miles and the time was 2 hours, rewrite the equation as 130=2R. Divide both sides by 2 and you get R=65
2. Using the equation, write 35 miles as distance and 70 mph as rate: 35=70T. Divide both sides by 70: T=0.5, which is equal to 1/2 hour, or 30 minutes.
A formula to find the period, T, of cyclic phenomena based on the frequency, F is T= 1/F
Solve the formula for F in terms of T
Answer:
F = 1/T
Step-by-step explanation:
In order to solve for F, you would need to isolate F.
(F)T = 1/F (F) --> multiply F on both sides to cancel out the F on the right side
FT/(T) = 1/(T) --> divide T on both sides to cancel out the T on the left, so the F is isolated
F = 1/T
Hope this helps!
Answer:
F = 1/T
Step-by-step explanation:
T= 1/F
USING CROSS MULTIPLICATION TECHNIQE
T(F) = 1
DIVIDE BOTH SIDES BY T
F = 1/(T)