Answer:
-8, -4, 0, 4, 8, 12
Step-by-step explanation:
The nth term Tn of an arithmetic sequence with a common difference d and a first term a is given as
Tn = a + (n - 1) d
Hence if the first term is a and the common difference is d then
the
2nd term = a + 4
3rd term = a + (3 - 1) 4 = a + 8
4th term = a + (4 - 1) 4 = a + 12
5th term = a + (5 - 1) 4 = a + 16
6th term = a + (6 - 1) 4 = a + 20
If the sum of these six numbers is 12 then
a + a + 4 + a + 8 + a + 12 + a + 16 + a + 20 = 12
6a + 60 = 12
collect like terms
6a = 12 - 60
6a = -48
divide both sides by 6
a= -8
the numbers are
a = -8
2nd term = a + 4 = -8 + 4 = -4
3rd term = a + (3 - 1) 4 = a + 8 = -8 + 8 = 0
4th term = a + (4 - 1) 4 = a + 12 = -8 + 12 = 4
5th term = a + (5 - 1) 4 = a + 16 -8 + 16 = 8
6th term = a + (6 - 1) 4 = a + 20 = -8 + 20 = 12
Select all the correct answers.
Janine needs to calculate the value of log , 81
Which expressions could she input into her calculator to find this value?
In 81
12
✓
in 81
In 12
log 81
log 12
log 81
In 12
log 12
log 81
Answer:
In 81 / In 12 ;
log 81 / log 12
Step-by-step explanation:
Log 12 81
Log 81 base 12
According to rule of logarithm :
Log 81 base 12 = (log 81 base 10) / log 12 base 10)
Obtaining the value :
(log 81 base 10) / log 12 base 10) = 1.7684564
Using trial and error method :
log 81 / In 12 = 0.7680308
In 81 / In 12 = 1.7684564
In 81 / 12 = 0.3662040
Hence, the correct answers are :
In 81 / In 12
log 81 / log 12
What lines are perpendicular to 3x+6y=5
Answer:
u means that to make the equations
Answer:
the line on the point 1.2 and 4.5
Step-by-step explanation:
I need help with this geometry question
Which triangle(s) are similar to ABC?
Ssssssssssssssssssssssssssssssssssssssssssssssssss
Natalie bought a 3 - pack of erasers for $1.47. How much did each eraser cost?
Answer:
Each eraser costs $0.49
Step-by-step explanation:
If three erasers cost $1.47, and you have to find the value of one eraser, all you have to do is divide $1.47 by three.
1.47 ÷ 3 = 0.49
To prove this, you can multiple 0.49 by three.
0.49 × 3 = 1.47
Therefore, your answer will be $0.49 per eraser.
(Remember to add the money symbol because some hardcore teachers won't accept the answer without it, or will deduct points. The symbol looks like this: $)
Answer:
$0.49
Explanation:
1.47 divided by 3 is 0.49.
°ω°
:⊃
°∨°
A survey crew has laid out similar triangles to find the distance across a
small lake.
creen
1-02....
240 ft
30 ft
creen SI
1-02...5.1
40 ft
30 ft
240 ft
creen Sho
-02...55.1
What is x, the distance across the lake?
Answer:
45.5
Step-by-step explanation:
You do the linear length multiplied by the longitudinal length
The distance across the lake is 320 ft.
Given is a scenario of a lake, a survey crew has laid out the concept of similar triangles to find the distance across the lake.
The figure shows the base of the larger triangles is the distance across the lake. [please refer to the figure attached]
The dimensions of the imaginary triangles are 30 ft, 30 ft, 40 ft and 240 ft, 240 ft, x ft.
Here, x is the distance across the lake which we are asked to find.
Using the definition of the similar triangles,
Two triangles are considered similar if their corresponding angles are equal, and the ratios of the lengths of their corresponding sides are equal.
So,
[tex]\frac{240}{30} = \frac{x}{40}[/tex]
[tex]x = \frac{240 \times 40}{30}[/tex]
x = 320
Hence the distance across the lake is 320 ft.
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Pls someone help me!
Answer:
Step-by-step explanation:
Jordan gave her basil plant 86 milliliters of water yesterday. How many liters of liquid did she give her plants
Answer: 0.086
Explanation: There are 1,000 milliliter in a liter. Since 86 is below 1,000, your answer won’t be in front of the decimal. For example, if you had 3,000 milliliters, your answer would be 3.0 liters.
If mGHJ = 27 and mGHK = 87, what is the measure of mJHK
Answer:
114 degrees
Step-by-step explanation:
From the letters that describe the rays, these two angles are adjacent to each other, and therefore, if the measure of one is 27 degrees and that of the other one is 87 degrees, then the larger angle defined by the two rays (HJ and HK) with common vertex H would be:
m<JHK = 27 degrees+ 87 degrees = 114 degrees
A car travels at an average speed of 56 miles per hour. How long does it take to travel 266 miles?
Answer:
Answer is 4hrs 45 mins
Step-by-step explanation:
Time=Distance/speed
Time=266/56
Time=4.75hrs
Time=4hrs 45mins.
I hope this helps!
:-)
13/x = 6/20 solve for x
The correct answer is
[tex] = \frac{130}{3} [/tex]
what is the correct solution of
4 - 2x = -2
+4 +4
2x = 2
2 2
x = 6
Classify each angle in the diagram as an angle of elevation or an angle of depression *
angle of elevation: <1, <4 angle of depression: <2, <3
angle of elevation: <2, <3 angle of depression: <1, <4
angle of elevation: <1, <3 angle of depression: <2, <4
angle of elevation: <2, <4 angle of depression: <1, <3
Answer:
Angles of depression are <2 and <4.
Angles of elevation are <1 and <3
Step-by-step explanation:
An angle of depression is the angle below a line of sight while the angle of elevation is the angle above a line of sight.
Angles of depression are <2 and <4.
Angles of elevation are <1 and <3
Carlos got 130 pieces of candy on Halloween and 39 of them were lollipops what percent of the pieces of candy were lollipops
It takes half of a yard of ribbon to make a bow. How many bows can be made with 7 yards of ribbon?
Answer:
hey there is a snowman challenge for virtual
Step-by-step explanation:
join challenge at #snowmanchallenge
HELP HELP HELP HELP PLEASE PLEASE !!!!!
Answer:
Correct answer would be 84/12=7
Step-by-step explanation:
Reason being , Its asking the "product" Of Julies score (7)
If you divide 84 /7 it will be =12
since its already giving you what its equal you would flip it and it would be 84/12
Would anyone like to help
Answer:
vertex= (0,-4), Axis of symmetry - x= 0,
sorry I don't know the rest and I don't know if this is even know if this is correct, so good luck I hope someone else can.
Step-by-step explanation:
Tickets for a concert cost $4.00 for a balcony seat and $7.50 for an orchestra seat. If ticket sales totaled $1,585 for 300 tickets sold, how many more tickets for balcony seats were sold than tickets for orchestra seats? - thanks
Answer:there were 80 more tickets sold for balcony seats than for orchestra seats
Step-by-step explanation:
Step 1
Let number of tIcket for balcony be represented as x
and
Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be
X+ Y = 300--- equation 1
And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as
4x + 7.50y = 1585----- equation 2
Step 2
X+ Y = 300--- equation 1
4x + 7.50y = 1585----- equation 2
Multiplying equation 1 by 4 and subtracting from equation2
4x + 7.50y = 1585
-4x+4y= 1200
3.50y =385
y =385/3.50
y=110
To find x, when y=110
X+ Y = 300--- equation 1
x+110=300
x= 300-110= 190 tickets
balcony seats tickets = 190
orchestra seats tickets = 110
Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats
In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the ground at a 62° angle, what will be the measure of the angle where the two sides of the roof meet?
Answer:
36 degrees
Step-by-step explanation:
Angles in a triangle add up to 180.
180-62-62=36
36 degrees
Step-by-step explanation:
177 is what percent of 300? Round your answer to the nearest tenths.
Answer: 59%
Step-by-step explanation:
Hope this helps have a great day. :)
Answer:
59%
Step-by-step explanation:
I would solve this through proportions
177 x
300 100
Cross multiply
177 x 100 = 17700
And then divide
17700/300 = 59
The answer is 59%
pls help :)
Given the function y = x + 3, what is the value of y if x is 7?
Answer:
10
Step-by-step explanation:
y=x+3; x=7
Substitute x in with 7
y=7+3Add 7 and 3
y=10An angle measures 130° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
An angle measures 130° more than the measure of its supplementary angle.
Therefore the required angle is (180°-130°)°=50°
50° is the right answer.The measure of the angle is A = 50° and the supplementary angles are given by 130° and 50°
What are Supplementary and Complementary Angles?Supplementary angles are two angles that have a sum of 180°.
Complementary angles are two angles that have a sum of 90°.
Given data ,
Let the first angle be represented as A
Now , the value of A is
Let the second angle be represented as B
And , the value of B is B = 130°
The angles A and B are supplementary
So , A + B = 180°
On simplifying , we get
The measure of A + 130° = 180°
Subtracting 130° on both sides , we get
The measure of angle A = 180° - 130°
The measure of angle A = 50°
Hence , the measure of angle is 50°
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Select all that are equivalent to sin H.
1. cos H
2. cos Y
3. sin Y
4. sin W
5. tan W
6. cos(90-H)
7. sin(90-H)
Answer:
i believe 1-3-5
Step-by-step explanation:
Answer: the 2nd and 6th
Step-by-step explanation:
i did the test thing
I have like 20 minutes to finish this
Step-by-step explanation:
[tex]6.[/tex]
[tex] \frac{1}{2} = \frac{1.5}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{8}{12} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]
[tex] \frac{3}{8} = \frac{1.125}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{10}{15} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]
[tex] \frac{4}{5} = \frac{2.4}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{9}{10} = \frac{2.7}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]
[tex]7.[/tex]
[tex]Kenny = \frac{1}{8} [/tex]
[tex]Gail = \frac{2}{4} [/tex]
[tex] \frac{1}{8} ? \frac{2}{4} [/tex]
[tex]\frac{1}{8} ? \frac{2 \times 2}{4 \times 2} [/tex]
[tex] \frac{1}{8} < \frac{4}{8} [/tex]
[tex] \frac{1}{8} < \frac{2}{4} [/tex]
[tex]Gail \: \: ate \: \: more \: \: than \: \: Kenny[/tex]
Determine the measure of ∠Z.
Question 5 options:
A)
41.76°
B)
13.29°
C)
87.71°
D)
48.24°
Answer:
A
Step-by-step explanation:
The measure of the angle Z is equivalent to 41.7°.
What is tangent function?The tangent function is one of the main six trigonometric functions and is generally written as tan (x). It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.Given is a right angle triangle XYZ.
Using the tangent function, we can write -
tan(Z) = XY/XZ
tan(Z) = 25/28
tan(Z) = 0.89
Z = tan⁻¹(0.89)
Z = 41.7°
Therefore, the measure of the angle Z is equivalent to 41.7°.
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2. Angela deposited $600 into an account paying a simple interest rate of 3.6% for 4.5 years. How
much interest did she earn? What was the balance of her account after the 4.5 years (assuming she made no deposits of withdrawals during the time)
Answer:
Step-by-step explanation:
to find out how much Angela she would have in the bank,
(600*3.6*1)100=21.60 she gains in one year
6 months 21.60/2=10.80
in 4.5 years
(21.60*4)+10.80=86.40+10.80=97.20 interest
the balance=600+97.20=697.20
what is 10+1 please I need helpppppppppppppppppppppp
Answer:
11
Step-by-step explanation:
Answer:11
Step-by-step explanation: 10 plus 1 equal 11.
There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?
$0.09
$0.31
$1.05
$1.46
$10.99
Let B be between a and C use the segment addition postulate to solve for W
AB= 4w-4
BC = 2w-8
AC = 24
A- w=10
B- w=6
C- w=4
D- w=-2
Answer:
Value of w = 6
Step-by-step explanation:
Given:
AB= 4w-4
BC = 2w-8
AC = 24
Find:
Value of w
Computation:
AB + BC = AC
4w - 4 + 2w - 8 = 24
6w - 12 = 24
6w = 24 + 12
6w = 36
w = 6
Value of w = 6