Classify the triangle by its angles and sides
A sequence can be generated by using an = 4a(n - 1)) where a= 6 and n is a whole
number greater than 1. What are the first four terms in the sequence?
Given:
The sequence can be generated by
[tex]a_n=4a_{(n - 1)}[/tex]
Where [tex]a_1= 6[/tex] and [tex]n[/tex] is a whole number greater than 1.
To find:
The first four terms of the given sequence.
Solution:
We have,
[tex]a_n=4a_{(n - 1)}[/tex] ...(i)
It is given that [tex]a_1= 6[/tex]. So, for [tex]n=2[/tex], we get
[tex]a_2=4a_{(2 - 1)}[/tex]
[tex]a_2=4a_1[/tex]
[tex]a_2=4(6)[/tex]
[tex]a_2=24[/tex]
Putting [tex]n=3[/tex] in (i), we get
[tex]a_3=4a_{(3- 1)}[/tex]
[tex]a_3=4a_2[/tex]
[tex]a_3=4(24)[/tex]
[tex]a_3=96[/tex]
Putting [tex]n=4[/tex] in (i), we get
[tex]a_4=4a_{(4- 1)}[/tex]
[tex]a_4=4a_3[/tex]
[tex]a_4=4(96)[/tex]
[tex]a_4=384[/tex]
The first four terms of the given sequence are 6, 24, 96,384.
Therefore, the correct option is C.
plz solve this
1. 12/11 , 108/99
2. 1.5/9 , 1/6
3. 3/11 , 15/66
4. 1.7/1.2 , 2.9/2.4
and Determine whether each pair of ratios are equivalent ratios. Write yes or no.
Answer:
1. yes
2. no
3. yes
4. no
Step-by-step explanation:
What function is graphed below?
Y=x/3
Y=2 x +3
Y= 2 x + 3
Y = 3x
Answer: its y=x/3
So x/3 is the slope and means the same as 1/3 x
the 1/3 shows we go up one and over 3 because slope is y/x
Hope this helps
What is √15 divided by √12 simplified?
☁️ Answer ☁️
annyeonghaseyo!
I Got:
√5/2
Here's the Decimal Form:
1.11803398
Hope it helps.
Have a nice day noona/hyung!~ ￣▽￣❤️
If
x + 2y = 1
X– 2y = 13
then y =
Answer:
y = -3
Step-by-step explanation:
x + 2y = 1 then x = 1 - 2y
x– 2y = 13
substitute for x:
1 - 2y - 2y = 13
simplify:
-4y = 12
y = -3
x = 7
What is the reciprocal of 2 1/5
Answer:
2 1/5 can also be written as 11/5
The reciprocal of 11/5 is 5/11
Answer:
5/11
Step-by-step explanation:
2 1/5 into an improper fraction is 11/5.. recipricol is 5/11
A pair of sneakers is regularly at $52. The store sells it for $78. What is the percent increase?
A. 33.33% B. 50% C. 5%
The answer is A.33.33%.
Evaluate:
1. (0.36) 1/2
2. (3/7) 2
FIND TAN C
Please help I’m stuck
I will absolutely RAIL you if you give me the answer
Sorry but can't understand
Find the value of x. Round to the
nearest tenth.
40°
х
7
x =
Answer:
x ≈ 10.9
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{x}[/tex] ( multiply both sides by x )
x × sin40° = 7 ( divide both sides by sin40° )
x = [tex]\frac{7}{sin40}[/tex] ≈ 10.9 ( to the nearest tenth )
Help pls 10 points
A x=56
B x=156
C x=166
D x=66
D: x=66
Step-by-step explanation:
As we know the angle is 90 degree.Then x+24 degree is equal to 90 degree as whole part axiom. If we subtract 24 from 90 we get 66
Hope it's helpful!!
Working together, Beth and Katy can wash a car in 6 minutes. Had she done it by herself, it would have taken Katy 18 minutes. How long would it take Beth to wash the car herself?
Answer:
It would take Beth twelve minutes to wash the car herself
Step-by-step explanation:
If they do it together in 6 minutes.
& Katy can do it in 18 minutes alone
Then 18 - x = 6
replace x for twelve
18 - twelve = 6
Ans: twelve
What is the constant of proportionality in the direct variation represented on the following graph?
- [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex]
-4
4
Viola drives 2 kilometers up a hill that makes an angle of 4 degrees with the horizontal. To the nearest tenth of a kilometer, what horizontal distance has she covered
Answer:
2.0 km
Step-by-step explanation:
From the diagram attached,
cosθ = adjacent/Hypotenus
cos4° = x/2
make x the subject of the equation
x = 2cos4°
x = 2(0.998)
x = 1.995
x = 2.0 km. (to the nearest tenth)
Hence the horizontal distance is 2.0 km
A basketball player scores 28 points in
a game. She scores 35% of the total
team points.
How many points does her team score in
total?
a 63
b 65
C 72
d 80
Answer:
d) 80
Step-by-step explanation:
(35% = 0.35)
equation:
⇒ [tex]0.35x = 28[/tex]
divide 0.35 on both sides
⇒ [tex]\frac{0.35x}{0.35} = \frac{28}{0.35}[/tex]
solve:
⇒ x = 80
The total number of points will be 80. The correct option is D.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Assume a basketball player scores 28 points per game. She accounts for 35% of the team's total points.
Calculate the number of the points below,
35% of x = 28 points
x = ( 28 x 100 ) / 35
x = 80 points
Therefore, the number of points will be 80. Option D will be the right answer.
To know more about an expression follow
https://brainly.com/question/28986384
#SPJ2
Help please
In 1941, an actress claimed that her beautiful skin came from Lux soap. What was her name?
Group of answer choices
A. Saira Banu
B. Sadhana Bose
C. Nirupa Roy
D. Sabita Devi
E. Leela Chitnis
Answer:
E. Leela Chitnis
Step-by-step explanation:
HELP ME PlEASE! I am STRUGGLING??
Which expression is equivalent to sqrt48x^5 if x>0
Answer:
sqrt (48x^5) if x>0
. implies multiplication
48 = 2. 2.2.2.3= 2^4 .3
sqrt [2^4 .3 (x^5) ] if x>0
sqrt [2^4 ] sqrt [3 ] sqrt [(x^5) ] if x>0
sqrt [16 ] sqrt [3 ] sqrt [(x^5) ] if x>0
4. sqrt [3 ] sqrt [(x^5) ] if x>0
We know, sqrt [(x^5) ] if x>0 = x^2. sqrt [(x) ]
4. sqrt [3 ] .x^2. sqrt [(x) ] if x>0
4x^2 sqrt[3x] (answer c)
Step-by-step explanation:
PLEASE HELPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!! How many holes need to be drilled for 36 parts? Show your work.
Answer:
18c
= 18(36)
=648
Hope this helps you
Answer:
Part H
How many holes need to be drilled for 36 parts? Show your work.
Step-by-step explanation:
18c
= 18(36)
= 648
PLZ HELPP MEE THIS IS MY LAST QUESTIONN
Answer:
16
Step-by-step explanation:
multiply 32 by whatever a right angle give you
Need HELP Will mark brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is really hard, but what you marked is CORRECT, it is the second option :D
Mark brainliest please ;P
i need help and i also need the work shown...please and thank you
Answer:
55
Step-by-step explanation:
Answer:
55°Step-by-step explanation:
Angle formed by two intersecting chords is half the sum of the intercepted arcs:
m∠CED = 1/2(mCD + mBU)125° = 1/2(195° + mBU)195° + mBU = 250°mBU = 250° - 195°mBU = 55°How do you find the GCF of 24 and 60
Answer:
12
Step-by-step explanation:
Find the prime factorization of 24.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.
GCF = 12.
DUDE ACTUALLY HELP PLEASE GIVING BRAINLIEST
Answer:
154°
Step-by-step explanation:
They are alternate angles.
Answer:
154 degrees
Step-by-step explanation:
I'm going to use simple terms, you see there are two types of angles? One acute and the other obtuse. All the angles that are obtuse are the same and vis versa for acute angles too. It's just a rule for two parallel lines that are intersected by a perpendicular one.
Hellooooooooooooo can someone please help me with this?
Please help will give brainliest
Answer: this will help
Step-by-step explanation: AB = DE
BC = EF
CA = FD
Angle A = Angle D
Angle B = Angle E
Angle C = Angle F
HELP 10pts!!!
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this
composite figure? Use 3.14 for it. Show all calculations that lead to the answer and include units. Please provide steps to prove your answer.
Answer:
148.12m²
Step-by-step explanation:
At first, lets find the area of rectangle.
length = 14m
breadth = 6m
Area of rectangle = length x breadth
= 14 x 6
= 84m²
Now, For the area of sector of the circle,
Given angle (a) = 34
radius = 14m
Area of the sector = a / 360 x pi x r²
= 34/360 x 3.14 x 14²
= 34 / 360 x 3.14 x 196
= 58.12m²
Now adding both areas,
84 + 58.12 = 142.12m²
Segment of a circle is the part of the circle. The total area of the composite figure is 142.1544 m².
What is the area of the segment of a circle?The area of the segment of the circle is given by the formula,
[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]
As it is given that the composite figure is made up of a circular segment and a rectangle, therefore, we will find the area of the rectangle and the area of the circular segment individually.
Area of the rectangle
The area of the rectangle is the product of its length and breadth, therefore, the area is,
[tex]\rm \text{Area of the rectangle} = Length \times breadth[/tex]
[tex]= 14 \times 6\\\\=84\rm\ m^2[/tex]
Area of the sector of the circle
[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]
[tex]= \pi \times 14^2 \times \dfrac{34}{360}\\\\=58.1544\rm\ m^2[/tex]
The total area of the composite figure
The total area of the composite figure
= Area of rectangle + Area of the segment of the circle
= 84 + 58.1544 m²
= 142.1544 m²
Hence, the total area of the composite figure is 142.1544 m².
Learn more about Segment of Circle:
https://brainly.com/question/1697991
Give that each figure shown below is a trapezoid. Find the missing values.
Answer:
EF=22
C=70°
B=110°
Step-by-step explanation:
Trapezoids have to have a total of 360° and there are complementary angles.