Answer:
-3
Step-by-step explanation:
Let the first term be a-d, second term be a and third term be a+d
d is the common difference
If each term, starting with the 3rd term, is found by multiplying the previous two terms then:
a(a-d) = a+d
a²+ad-a-d = 0
a(a+d)-1(a+d) = 0
(a+d)(a-1) = 0
a-1 = 0
a= 1
a+d = 0
1+d = 0
d = 0-1
d = -1
Get the sixth term
nth term of a sequence is expressed as
Tn = a+(n-1)d
T6 = 1+(6-1)(-1)
T6 = 1+5(-1)
T6 = 1-5
T6 = -4
Get the third term T3
T3 = a+2d
T3 = 1+2(-1)
T3 = 1-2
T3 = -1
difference between the 6th and 3rd terms in the sequence is expressed as;
Difference = T6-T3
Difference = -4-(-1)
Difference = -4+1
Difference = -3
find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of the measure of the other acute angle and 12
Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles [tex]a[/tex] and [tex]b[/tex].
[tex]a + b +90 = 180[/tex]
The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:
[tex]a = 2(b-12)[/tex]
Now we have two equations. If we simplify them, we get these:
[tex]\left \{ {{a=90-b} \atop {a=2b-24}} \right.[/tex]
Now you can substitute [tex]a[/tex] in the first equation for [tex]a[/tex] in the second equation
[tex]90-b=2b-24[/tex]
Add [tex]b[/tex] to both sides of the equation
[tex]90 = 3b-24[/tex]
Add [tex]24[/tex] to both sides
[tex]114 = 3b[/tex]
Divide both sides by 3
[tex]38 = b[/tex]
Now, you can substitute [tex]38[/tex] for [tex]b[/tex] in the first equation and simplify.
[tex]a = 90-38[/tex]
[tex]a=52[/tex]
Therefore,
[tex]a=52[/tex], and [tex]b=38[/tex]
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The value of the angles are 38° and 52° respectively
Let the acute angles be represented by a and b.
Based in the information given,
a = 2(b - 12)
a = 2b - 24.
Note that the angle in an acute angle equals to 90°.
Therefore,
a = 90 - b.
a = 2b - 24
Equate the equations together
90 - b = 2b - 24
2b + b = 90 + 24
3b = 114
b = 114/3
b = 38
Therefore, a will be:
= 90° - 38° = 52°
The value of the angles are 38° and 52° respectively.
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What is the equation of the line that passes through the point (-8,−7) and has a slope of 11?
Answer:
-7=11*-8+b
-7=-88+b
+88 both sides
81=b
y=11x+81
Plsssssssssssssssssssssssssssssssssssss
Answer:
(-4, 3) 2nd quadrant.
Step-by-step explanation:
What is the product of 5 and 2/3
Answer:3 1/3
Step-by-step explanation:5/1 x 2/3=10/3=3 1/3
The sum of twelve and six times a certain number is forty-two. Find the number.
Answer:
5
Step-by-step explanation:
42 - 12 = 30
30 / 6 = 5
I need help ASAP!!
Thanks
Answer:
-|x+2|+2
Step-by-step explanation:
The y-intercept of the graphed line is
Answer:
A. -2
Step-by-step explanation:
Answer:
Looks like -2
Step-by-step explanation:
When you look at where the line on the graph passes the it looks like it passes at -2.
Write the slope-intercept form of the equation of the line through (-2, 4) with a slope of -4
y = -4x + 4
y = 4x - 4
y = -4x - 4
y = 3x - 4
List three different combinations of coins, each with a value of 30% of a dollar.
At the book store, you purchased some $3 clearance mystery books and $8
regular-priced science fiction books. How many of each did you buy if you spent a
total of $77?
Answer:
15 of $3 books and 4 of the $8 books
Step-by-step explanation:
15×3= 45
8 × 4= 34
45+32= 77
A student has a container with a volume of 0.5 liter.She estimates the volume to be 0.4 liter. By what percent is the student's estimate off?
Answer:
20%
hope it helps!
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Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the distance from E to F. The area of triangle ACF is 180 cm2. How many square centimeters is the shaded area of triangle BCE?
Answer:
the area of a regular hexagon is A=(3√3/2)a², a is the side length.
so A=(3√3/2)*5.2²=70.25
C is the correct answer
Step-by-step explanation: Hope this helps:)
Answer:
3
Step-by-step explanation: Hope this help u
heres another one.
for brainliest
Answer:
Max made a mistake in step 5.
He should have used division instead of multiplication.
Step-by-step explanation:
In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.
In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.
Answer:
he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5
(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)
Step-by-step explanation:
Please asap maths homework
Answer:
77 red marbles
Step-by-step explanation:
the bag has R and B marbles
P(B)=1/12 = number of blue /total number of marbles
so 1/12=?/84
in the bag must be 84/12=7 marbles that are blue
84-7=77 red marbles
What is the common difference of the arithmetic sequence? 2,5,8,11,14...
The common difference is 3.
14-11=3
11-8=3
8-5=3
5-2=3
You can see here that the difference between two consecutive numbers in this sequence are all 3.
Multiply. What is the value of the second partial product?
26 × 107
Answer:
Below
Step-by-step explanation:
(20*100)+(20*7)+(100*6)+(7*6)
-7 ≤ x+2 / 4
solve pleeeeeeeeeeeeeeaaaaaaaaaaaaaaseeeeeeeeeeeeeeeeeeee
Answer:
x ≥ 15/2 im pretty sure
Step-by-step explanation:
reduce the fraction: -7 ≤ x + 1/2. move the terms: -x ≤ 1/2 + 7 calculate the sum: -x ≤ 1/2 + 7 = -x ≤ 15/2 and change the signs: x ≥- 15/2.
Cut out the shapes of NETS of Cube, Cuboid and Cylinder as per the dimensions given below and find its Total Surface Area and Lateral Surface Area Dimensions of Cube = 5cm x 5cm x 5cm Dimensions of Cuboid = Length=10cm, Breadth=5cm, Height = 4cm Dimensions of Cylinder= Diameter 7cm and height 10cm
Answer:
a. i. 150 cm³ ii. 150 cm³
b. i. 220 cm³ ii. 120 cm³
c. i. 297 cm² ii. 220 cm²
Step-by-step explanation:
a. For the cube
Dimensions of Cube = 5cm x 5cm x 5cm
Length of side = 5 cm
i. Total surface area A = 6L² where L = length of side = 5 cm
So, A = 6 × (5 cm)²
= 6 × 25 cm³
= 150 cm³
ii. Lateral surface area A' = 4L²
= 4 × (5cm)²
= 4 × 25 cm²
= 100 cm²
b. For the cuboid
Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm
i. Total surface area A = 2(lb + lh + hb)
= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)
= 2(50 cm² + 40 cm² + 20 cm²)
= 2(110 cm²)
= 220 cm²
ii. Lateral surface area A' = 2(lh + hb)
= 2h(l + b)
= 2 × 4 cm (10 cm + 5 cm)
= 8 cm × 15 cm
= 120 cm²
c. For the cylinder
Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm
i. Total surface area, A = 2πr(r + h) where r = radius = d/2
A = πd(d/2 + h)
= 22/7 × 7 cm(7 cm/2 + 10 cm)
= 22cm(3.5 cm + 10 cm)
= 22cm(13.5 cm)
= 297 cm²
ii. Lateral surface area A = 2πrh
= πdh
= 22/7 × 7 cm × 10 cm
= 22 cm × 10 cm
= 220 cm²
If 2 is divided into pieces that are each 1/7 of a whole, how many pieces are there?
Answer:
There are 14 pieces in 2 wholes.
Step-by-step explanation:
In order to solve this question we need to understand that "a whole" is another way of saying 1. So then this question askes the following, "How much does [tex]\frac{1}{7}[/tex] fit into 2. In order to find that out we just have to divide 2 by [tex]\frac{1}{7}[/tex] and so we get.....
2 / [tex]\frac{1}{7}[/tex] = 14
please can someone help????
Answer:
I looks like it's A. Hope I helped!
helpppp!!! (look at screenshot)
Use the map at the right. Any location equidistant from the subway station on 26th St. and the subway station on 30th St. must lie on what street?
A. 8th Ave.
B. 28th St.
C. 7th Ave.
D. 26th St.
Answer:
I think it's the 28th St. but I'm not sure.
For $7.90, you purchased 8 items (pens and highlighters) from a local bookstore. Each highlighter cost $1.09 and each pen cost $.68. Write a system of equations that can be used to find how many of each you bought.
A. 8p+8h=7.90 and 1.09+.68h=7.90
B. h+p=8 and .68h+ 1.09p=7.90
C. p+h=7.90 and .68p+1.09h=8
D. h+p= and 1.09h+.68=7.90
Answer:
D, i believe it should be h+p=8 and 1.09h + 0.68p = 7.90
Step-by-step explanation:
purchased 8 items in total; therefore, h+p=8
cost of each item, multiplied by quantity, equals grand total of $7.90
Solve the system if equations by substitution
Y=4x+9
y=9x+10
the same cookie recipe calls for 3 cups of flour to make one batch of cookies which of the following graphs best represents the relationship between the amount of flour and the number of batches of cookies that can be using this recipe
Answer:There is not a graph
Step-by-step explanation:
Answer:
graph graph
Step-by-step explanation:
graph graph
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8
Describe the error in the work shown.
62+ 3+5 x 2
36 +8 x 2
36 + 16
52
Answer:
75
Step-by-step explanation:
you should've done 2 times 5 first but you have done 3+5 first.
In the point (3, 4), which value represents the y-coordinate? *
3
Answer:
4
Step-by-step explanation:
(x,y)
Answer:
4 :)
Step-by-step explanation:
(x,y) so (3,4) would make 4 the y
Just need some help
Step-by-step explanation:
D
a triangle is 180°
180-126= 54
Now you have:
56+54+X=180
110+X=180
-110 -110
X=70
Answer:
70 wanna know why add the sides then divide
Step-by-step explanation:
What is the percent of change if 18 is increased to 45? Round your answer to the
nearest percent.
THE PERCENT OF CHANGE IS
% INCREASE
Answer:
150%
Step-by-step explanation:
% change = change/original x 100
45-18 = 27
27/18 x 100 = 150
The percent of change if 18 is increased to 45, to the nearest percent, is calculated as: 150%.
How to Calculate the Percent of Change?To calculate the percent of change when 18 is increased to 45, we can use the formula:
Percent of change = ((New value - Initial value) / Initial value) * 100
Let's plug in the values and calculate the percent of change:
Percent of change = ((45 - 18) / 18) * 100
Percent of change = (27 / 18) * 100
Percent of change = 1.5 * 100
Percent of change = 150
Therefore, the percent of change is 150%, indicating a 150% increase.
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Answer:
3rd answer
Step-by-step explanation:
i think
