Answer:
Step-by-step explanation:
a) [tex]t_{n}[/tex] = 2n - 3
[tex]t_{1}=2*1-3 = 2-3=-1\\\\t_{2}=2*2-3=4-3=1\\\\t_{3}=2*3-3=6-3=3\\\\t_{4}=2*4-3=8-3=5\\\\S_{4}=t_{1}+t_{2}+t_{3}+t_{4}\\\\= -1 + 1 + 3 + 5 \\\\= 8[/tex]
d)
[tex]t_{n}=\frac{2n-1}{2n+1}\\\\\\t_{1}=\frac{2-1}{2+1}=\frac{1}{3}\\\\t_{2}=\frac{4-1}{4+1}=\frac{3}{5}\\\\t_{3}=\frac{6-1}{6+1}=\frac{5}{7}\\\\t_{4}=\frac{8-1}{8+1}=\frac{7}{9}\\\\[/tex]
[tex]S_{n}=\frac{n}{2}(a+l)\\\\S_{4}=\frac{4}{2}(\frac{1}{3}+\frac{7}{9})\\\\=2*(\frac{1*3}{3*3}+\frac{7}{9})\\\\=2*(\frac{3}{9}+\frac{7}{9})\\\\=2*\frac{10}{9}\\\\=\frac{20}{9}[/tex]
Write each fraction as a decimal. Use bar notation if necessary.
1. 8/9 2. -2/5. 3. 7/11
Answer:
rgre5ydytye453efdfe45fgs4terwt
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbvbcn
Answer:1. 0.889, 2. −0.4, 3. 0.636 (i rounded the answers to the nearest thousandths)
Step-by-step explanation: the thing is when you are changing them from fraction to decimal you use long division for example
let us say the fraction is a half.
we put the numerator inside and the denominator outside.
so in this case 2 is outside and 1 is inside.
(forgive my drawing)
So after the zero we put a point if it is any number we still put a point after the first division answer.
We also put a zero next to 1 even though it is any other number a the answer on top we still put a zero if the number is over like in this case.
so 10 divide by 2 is 5 we put it on top.
Since we got an answer with no reminder our answer is 0.5.
Please help me ASAP I need it
Answer:
XYZ, SAS
Step-by-step explanation:
Because angle B corresponds with angle Y, side AB corresponds with side XY, and side BC corresponds with YZ, we see that side A corresponds with side X, side B corresponds with side Y, and side C corresponds with side Z.
This means that triangle ABC corresponds with triangle XYZ. Since we only know one angle and two sides, they are congruent due to the SAS postulate.
Find the length of x
. Assume the triangles are similar.
Answer:
x=2.24
Step-by-step explanation:
To do this problem, you must find the scale factor. Using two corresponding sides you can find it.
Using 2.4 and 3:
2.4 / 3 = 0.8
Scale factor: 0.8
Now find x:
2.8 × 0.8 = 2.24
x = 2.24
Hope this helped.
which of the following is the sum of the numbers if the mean of five number is 6
Answer:
Step-by-step explanation:
you have to do 5+1 and then you will get 6
These figures are similar. The
area of one is given. Find the
area of the other.
3 in
Answer:
12 in^2
Step-by-step explanation:
The figure with the given area is twice as big as the small figure and these are similar figures. Therefore we divide 24/2 = 12
please help again with translations
Answer:
A -1,7
B 1,5
C -2,4
Step-by-step explanation:
how do i find perimeter and area of this triangle?
Answer:
u should use a ruler and multiplied
Step-by-step explanation:
I dont know the step by step sorry
Can someone help me I don't understand
Answer:
79.605
Step-by-step explanation:
sin 31° = 41/x
x = 41/sin 31°
x = 79.605
50 points! will give brainliest
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{1}{4}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{1}{4}[/tex]
equating corresponding value
opposite=1
hypotenuse=4
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
4²=1²+x²
16=1+x²
x²=16-1
x=[tex]\sqrt{15}[/tex]
In II quadrant
Cos angle is negative
Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{-\sqrt{15}}{4}[/tex]Answer:
[tex]\displaystyle \cos ( \theta _{1} ) = - \frac{ \sqrt{15}}{ 4 }[/tex]
Step-by-step explanation:
on a unit circle there're 4 Quadrant. on Q:I sin and cos both are positive,on Q:II cos is negative and sin positive, on Q:III both sin and cos are negative and on Q:IV cos is positive and sin negative.
actually a unit circle is a coordinate plane but
there's (cos,sin) instead of (x,y)it'll be required later
well to solve the problem we can consider Pythagorean theorem which states that the square of sin and cos is equal to 1. therefore,
[tex] \displaystyle \sin ^{2} ( \theta) + \cos ^{2} ( \theta) = 1[/tex]
[tex] \rm \displaystyle \implies \boxed{\cos ^{} ( \theta) = \sqrt{1 - \sin ^{2} ( \theta) }}[/tex]
in this case,
[tex] \rm \theta \: \: is \: \: \theta_{1}[/tex]sin[tex]\theta[/tex] is ¼Thus substitute:
[tex]\displaystyle \cos ( \theta _{1} ) = \sqrt{1 - \left( \frac{1}{4} \right) ^{2} }[/tex]
simplify square:
[tex]\displaystyle \cos ( \theta _{1} ) = \sqrt{1 - \frac{1}{16} }[/tex]
simplify substraction:
[tex]\displaystyle \cos ( \theta _{1} ) = \sqrt{ \frac{16 - 1}{16} }[/tex]
simplify numerator:
[tex]\displaystyle \cos ( \theta _{1} ) = \sqrt{ \frac{15}{16} }[/tex]
recall redical rule:
[tex]\displaystyle \cos ( \theta _{1} ) = \frac{ \sqrt{15}}{ \sqrt {16} }[/tex]
simplify square root:
[tex]\displaystyle \cos ( \theta _{1} ) = \frac{ \sqrt{15}}{ 4 }[/tex]
since cos is negative on Q:II hence,
[tex]\displaystyle \cos ( \theta _{1} ) = \boxed{- \frac{ \sqrt{15}}{ 4 }}[/tex]
and we're done!
Simplify -52 + 8|-1| + (-3).
can someone please help? worth 10pts
Answer:
equation of the line would be y=-3x+7
Step-by-step explanation:
because the line goes 3 up and 1 behind for the next point ad the line is not y intercept 7
f(x) = x2 What is g(x)?
Answer:
D
Step-by-step explanation:
g(x) = 9x^2 satisfy the point (1,9).
Write an equation that represents the line.
Use exact numbers.
Answer:
[tex]y = - \frac{4}{3} x + 2[/tex]
Step-by-step explanation:
Linear algebra
Answer:
y=-4/3x+2
Step-by-step explanation:
Find the measure of the missing angle in the kite , given kite ADCB with m < BAD = 46 degree and m < ABC = 114 degree find m
Answer:
m∠BCA = 43°
Step-by-step explanation:
ABCD is a kite having m∠BAD = 46° and m∠ABC = 114°
∠BAD and ∠BCA are the vertex angles of the kite.
Since, diagonal of kite bisect the vertex angles
m∠BAC = m∠DAC = [tex]\frac{1}{2}(46^{\circ})[/tex]
m∠BAC = 23°
By applying triangle sum theorem in ΔABC,
m∠ABC + m∠BCA + m∠BAC = 180°
114° + m∠BCA + 23° = 180°
m∠BCA = 180° - (114° + 23°)
= 43°
WHO CAN HELP ME WITH THIS QUESTION
Answer:
No
Step-by-step explanation:
These two triangles aren't similar. The left triangle angle measures are 30,60,90. The left triangle measure is 35,55,90.
The side lengths aren't proportional as well. These triangles not similar.
Answer: I'm not sure but
similar : no
similarity statement: it's not similar because the corresponding angle of the two triangle are different
scale factor : 8/4 = 2 ( so, triangle ABC is 2 times the size of triangle LMN)
Step-by-step explanation:
From a view tower 30 metres above the ground, the angle of depression of an object on the ground is 30 and the angle of elevation of an aircraft vertically above the object is 42.Calculate the height of the aircraft above the ground
Answer:
90 I guess so
It might be wrong
Which angles are supplementary to each other?
Angle 5 and Angle 2
Angle 3 and Angle 8
Angle 8 and Angle 5
Angle 8 and Angle 6
angle 8 and 5 are supplementary angle
which one is the right answers
Answer:
B
Step-by-step explanation:
n is the number of litres.
if you substitute 1 for 'n' then you will get :
C = 8 + 1.5(1)
C = $9.5
$9.50 for every litre
Answer:
C is correct
Step-by-step explanation:
The $8 charge is only once regardless of how many liters are ordered, so only answer C works.
What is the probability of getting ALL 2 red balls in a bag containing 24 balls?
Answer:
1 / 276
Step-by-step explanation:
The total Number of balls in the bag = 24
Number of red balls = 2
Assume the number of picks required = 2 and selection is performed without replacement ;
The probability of :
Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24
After first pick, red balls left = 1 ; total number of balls = 23
Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23
Hence,
(2/24) * (1/23) = 2 / 552 = 1/276
In the morning, the temperature was 15 degree F. During the day, the temperature fell 37 degrees. Which expression shows how to find the temperature at the end of the day
Answer:
15-37 or -37+15
Step-by-step explanation:
Pippa had 35 stickers. She gave an equal number of stickers to 8 friends. She gave each friend as many stickers as possible and kept the rest for herself. How many stickers did Pippa keep for herself? What is the misconception which might lead some to select D) 27 A) 3 B) 4 C) 11 D) 27
Answer:
The answer is (A), Pipa kept 3 stickers to herself
Step-by-step explanation:
A car covers a distance of 132 km. If each tire’s diameter is 42 cm, how many rotations does each tire make in covering this distance?
Answer:
Step-by-step explanation:
Diameter (D)= 42cm
Circumference = (pie)D= (22/7)*D=(22/7)*42 = 132cm
1 circumference = 1 revolution
1 revolution = 132cm = 1.32m
for covering 5.28km no. of revolution = 5.28*1000/1.32 = 4000
Hope this answer helps you :)
Have a great day
Mark brainliest
Lydia runs an experiment to determine if a coin
Instructions: Find the angle measures given the figure is a rhombus.
Answer:
m <1 = 147
m <2 = 90
Step-by-step explanation:
In rhombus diagonals are perpendicular to each other so
m <2 = 90
m < 1 = 180- 33
= 147
Answered by Gauthmath
The required angle of the rhombus m∠1 = 57° and m∠2 = 90°.
Given that,
A figure of a rhombus is shown,
An angle of 33° is given,
m∠1 and m∠2 is to be determined.
The triangle is a geometric shape that includes 3 sides and sum of the interior angle should not greater than 180°.
The angle can be defined as the one line inclined over another line.
Here, the rhombus has been shown with an angle of 33° of the side with one of the diagonal.
Since the diagonal of the rhombus bisect each other at an angle of 90 so the angle m∠2 = 90 and the sum of the interior angle of a triangle is 180. So,
m∠1 + 33 + 90 = 180
m∠1 = 180 - 123
m∠1 = 57
Thus, the required angle of the rhombus m∠1 = 57° and m∠2 = 90°.
Learn more about Angles here:
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HELP PLEASE (and explain if you can
what is 5cd when c = 3 and d = 4
what is 5cd when c = 3 and d = 4
put the value c=3 and d=4 then,
5cd= 5 × 3 × 4
= 60
thus , 60 is the required answer..........
Answer:
[tex]here \: 5cd \\ c = 3 \\ d = 4 \\ then \: 5 \times 3 \times 4 = 5 \times 12 = 60 \\ thank \: you[/tex]
If the hypotenuse of an isosceles right triangle has a length of 5 centimeters, what is the length of one of the legs?
Select the correct answer.
O 5
O 5V2
O 6/2
O 5V2/2
Answer: D
Step-by-step explanation:
just did it
The length of one of the legs of the isosceles right triangle is, 5 / √2 cm.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The hypotenuse of an isosceles right triangle has a length of 5 centimeters.
Now, We know that;
Two sides of an isosceles triangle are equal.
Let two equal sides of triangle = x
Hence, We get by Pythagoras theorem,
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ 5² = x² + x²
⇒ 25 = 2x²
⇒ x² = 25/2
⇒ x = √(25/2)
⇒ x = 5 / √2 cm
Learn more about the triangle visit;
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Expand and simplify (x-3)(x+5)
Answer: x² + 2x - 15
Step-by-step explanation:
Concept:
When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.
FirstOuterInnerLastSolve:
Given
(x - 3) (x + 5)
Expand parentheses
x² + 5x - 3x - 15
Combine like terms
x² + (5x - 3x) - 15
x² + 2x - 15
Hope this helps!! :)
Please let me know if you have any questions
Hi, just need help with this graph problem.
Answer:
Domain: (-2, 2]
Range: (-5, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion and (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, we see that our x values span from -2 to 2. Since -2 is an open dot and 2 is a closed dot, they are exclusive and inclusive, respectively:
(-2, 2] or -2 < x ≤ 2
According to the graph, we see that our y values span from -5 to 4. Since -5 is an open dot and 4 is a closed dot, they are exclusive and inclusive, respectively:
(-5, 4] or -5 < y ≤ 4
0.4 x 10 =....
1.25 x 10 =
97.465 x10 =
Answer:
0.4 × 10 = 4
1.25 × 10 = 12.5
97.465 × 10 = 974.65
Create an equation in slope-intercept form for the line that passes through (3, 6) and (6, 10).
Answer: y = 4/3x + 2
Step-by-step explanation:
Use the slope form of y2 - y1/ x2 - x1 and substitute in the values from the coordinates. In this case, it would be 10-6/6-3, which gives you 4/3. Thus, that would be the slope(m). Then take a pair of coordinates (x,y) and substitute in the equation y = mx + b.
If you take the first coordinate (3,6): 6 = 3(4/3) + b
6 = 4 + b
b = 2
If you take the second coordinate (6, 10) : 10 = 6(4/3) + b
10 = 8 + b
b = 2
Then, substitute m and b into the equation (y = mx + b) to get your answer.