Using an arithmetic sequence, it is found that 89 dots would be found in the 30th step.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Researching the problem on the internet, it is found that the first step has 2 dots, the second has 5 dots, the third has 8 and so on, hence the first term is [tex]a_1 = 2[/tex] and the common difference is d = 3.
Then, the number of dots in the nth step is given by:
[tex]a_n = 2 + 3(n - 1)[/tex]
In the 30th step, the number will be given by:
[tex]a_{30} = 2 + 3(30 - 1) = 89[/tex]
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i - 20
- 21 i
29
find the missing side.
1) 2304
2) 3600
3) 1296
4) 36
Answer:
heya! ^^
here , we've been given a right angled triangle along with the measure of two of its sides.
and , we've to find the measure of its third side.
so , we'll be using Pythagoras Theorem to find the measure of the third side.
but first , let's take a look at what Pythagoras Theorem is-
Pythagoras theorem states that the square of the hypotenuse of the triangle is equal to the sum of squares of the remaining two sides.
according to the figure ,
side AB = hypotenuse = 60 cm
side AC = perpendicular = 48 cm
side BC = base = a
now by using Pythagoras Theorem ,
[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ (60) {}^{2} = (48) {}^{2} + a {}^{2} \\ \\ 3600 = 2304 + a {}^{2} \\ \\ a {}^{2} = 1296 \\ \\ a = \sqrt{1296} \\ \\ a = 36[/tex]
therefore ,
option ( 4 ) 36 is correct.
hope helpful :D
Answer:
36. (Option 4)[tex] \\ [/tex]
Step-by-step explanation:
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base (BC) is aThe perpendicular (AC) is 48The hypotenuse (AB) is 60.[tex] \\ [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} + (48 {)}^{2} = ( 60{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} = ( 60{)}^{2} - (48 {)}^{2}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =3600 - 2304}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =1296}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad a = \sqrt{1296}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\frak {\qquad a = 36 }}} \\ \\[/tex]
Therefore,
The measure of the third side (a) is 36.story with these 5 letters comprehend, collect, compare, community, college asap
In the word document :)
NEED HELP ASAP! WILL GIVE BRAINLIEST!!
1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?
1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?
A. one fourth x 6,766 = ________
B. 6 x 6,766 = ________
C. one half x 6,766 = ________
D. 1 x 6,766 = ________
1. A and C
2. D and B
3. A and B
4. C and D
Answer:
Answer for 1
3. 21,356 x one half
Answer for 2
1. A and C
Step-by-step explanation:
How would you expand log412 so that it can be evaluated, given log43 ≈ 0.792? Log Subscript 4 Baseline 3 times log Subscript 4 Baseline 4 StartRoot a squared + b squared EndRoot log 3 + log 4 log Subscript 4 Baseline 3 + log Subscript 4 Baseline 4 log 3 times log 4
Answer: log412 = 1.792
Step-by-step explanation:
log412 = log4(3 x 4)
log4(3 x 4) = log4(3) + log4(4)
log4(4) = 1
log4(3) = .792
1 + .792 = 1.792
log412 = 1.792
What is the volume of the rectangular prism below in cubic inches?
Answer:
24
Step-by-step explanation:
The volume formula is all the dimensions multiplied together, or lengthxwidthxheight.
So, you do 1x1x2 which is 2 feet. HOWEVER, it is looking for CUBIC INCHES, not cubic FEET.
There are twelve inches in a foot so 2x12=24 inches.
HELLLPP MEEE
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.
What is the probability of rolling an even number or flipping a tail?
Enter your answer as a reduced fraction, like this: 3/14
Using it's concept, it is found that the probability of rolling an even number or flipping a tail is of [tex]\frac{3}{4}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.
Hence, the probability is given by:
[tex]p = \frac{9}{12} = \frac{3}{4}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
Use what you know about triangles to classify this triangle.
Triangle with two acute angles and one ninety degree angle. Two sides are the same length.
Answer:
I believe this is an isosceles triangle! Hope this helps ^^
Please help me with this please and thank you
Step-by-step explanation:
y = ax^n + bx^(n-1) ... + z
(0, 1) tells us that the constant term z = 1.
because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.
for the other pairs I strongly suspect
(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3
(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9
so, the fitting equation is
y = 2x² + 1
I need this answered real quick
Answer:
11x+60° =93
11x =93-60
x=33/11
x=3
z+93 = 180 (being angles in st. line)
z=180-93
z= 87
Answer:
x=3
z=87
Step-by-step explanation:
Using the vertical angles rule, we can set 11x+60=93, solve for x:
[tex]11x+60=93\\11x=33\\x=3[/tex]
Since two angles on a line add up to 180, we can find z by setting 180=z+93, solve for z:
[tex]180=93+z\\87=z[/tex]
Evaluate the limit. (-2)^nn/4+n
Answer:
n
(
−
2
)
n
4
+
n
Step-by-step explanation:
Graph 1 on the numberline?
Answer:
directly before 5/4
Step-by-step explanation:
graph a straight vertical line directly before 5/4
or maybe it's just asking for where the value 1 should is and it's the same.
Answer:
It is the line to the left of 5/4
Step-by-step explanation:
it goes 5/4 then 4/4 or 1 then 3/4, 2/4, 1/4 then 0
can somebody please tell me the awnser
Answer: 50ft I think
Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only
Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.
If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.
Now let's add all the sides together.
9 + 6 + 5 + 10 + 4 + 16 = 50
The perimeter of this shape is 50, if my geometry memory serves me correctly.
I hope this answers your question.
-Toremi
The kite below is formed by four right triangles. If AB= 3, DE= 12, and AB = BC = DB, what is the area of the kite?
Answer:
50.46???
Step-by-step explanation: im bad at this so if it help ima be proud nut uhhh i tryed ...
math pls help i’ve been stuck on this for the longest
Basically it's almost everything but choice A
==================================================
Explanation:
When intersecting two lines to form an X shape, the vertical angles are the ones that form opposite one another. They do not have to align vertically, meaning they don't have to be stacked on top of one another. They could be side by side.
This applies to the following angle pairs
1 and 32 and 45 and 76 and 89 and 1110 and 1213 and 1514 and 16The items in bold apply to choices B through D
Side note: Vertical angles are always congruent.
Answer:
2nd, 3rd and 4th options
Step-by-step explanation:
when two lines intersect to make an X , angles on opposite sides of the X are called vertical angles. These angles are congruent.
from the listed angles the following are vertical angles.
∠ 5 and ∠ 7
∠ 3 and ∠ 1
∠ 4 and ∠ 2
Other vertical angles in the diagrm include
∠ 6 and ∠ 8
∠ 9 and ∠ 11
∠ 10 and ∠ 12
∠ 13 and ∠ 15
∠ 14 and ∠ 16
Please help it’s due soon
Answer:
D) 30
Step-by-step explanation:
AB is the diameter of the circle
AB = AE + EB
= 25 + 9
= 34
OB, OC and OD are all the radius of the circle.
Radius = half the diameter
Therefore, OB = OC = OD = 34 ÷ 2 = 17
ΔCOD is an isosceles triangle with congruent sides OC and OD, and height OE
OE = OB - 9
= 17 - 9
= 8
Base of isosceles triangle = [tex]2\sqrt{a^2-h^2}[/tex]
(where a is one of the congruent side lengths and h is the height)
[tex]\implies CD=2\sqrt{OD^2-OE^2}[/tex]
[tex]\implies CD=2\sqrt{17^2-8^2}[/tex]
[tex]\implies CD=30[/tex]
-. Find the missing part that will make the equation a perfect square
U2 + 34u +
Answer:
289
Step-by-step explanation:
using the method of completing the square
add ( half the coefficient of the u- term )² to u² + 34u
u² + 2(17)u + 17²
= u² + 34u + 289
= (u + 17)² ← a perfect square
21 - 25 . Alex is trying to balance his time in academics, chores and other activities. In order to do this, he decided to
1/3 divide his time according to the tasks he needs to do in a day. If Alex will spend of his day on sleeping, 1/12 1/8 1/4 * on studyingon household chores and for other activities like eating and taking a bath, how much time does he have left for leisure activities?
A gift box in the shape of a
rectangular prism has a base area
of 56 square inches and a height of
4 inches. What is the volume of the
box in cubic inches?
F) 224
G) 448
H) 896
J) 12,544
1000 to the fourth power(?
Answer:
Step-by-step explanation:
Answer: Raise 1000 to the power of 4
1000000000000
Pls help !!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D. Rhombus.
Step-by-step explanation:
This will be a quadrilateral with 4 equal sides.
The oppsoite angles will be equal but they will not be 90 degrees as each triangle of the 3 dimensional figure is an equilateral triangle.
Therfore the cross section is a rhombus.
so
x+y=24
x=2y
I need step by step ple
Answer:
y = 8x = 16Explanation:
x + y = 24x = 2(y)solve, insert equation 2 into 1
2(y) + y = 243(y) = 24y = 8Find x:
x = 2(y)
x = 2(8)
x = 16
Answer:
y = 8
x = 16
Step-by-step explanation:
Given equations:
x + y = 24x = 2yReorganize the equations:
[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
Subtract:
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]
[tex]{ {{x - x + y + 2y= 24}[/tex]
[tex]3y= 24}[/tex]
Divide 3 both sides:
[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]
[tex]y = 8[/tex]
Substitute y in any equation:
[tex]x = 2(y)[/tex]
[tex]x = 2(8) = 16[/tex]
Can someone give me the answer quickly
Answer:
I think the answer is 42%
I don't really know for sure though
At how many hours will blake earn the same amount in both jobs?
Answer: 6.15 you already solved it congrats
Step-by-step explanation:
you already equal both amount equations to each other therefore you are solving for the hours he gets equal pay
Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places
A=(
6 in
1
14 in
26 in
15 in
Answer:
117 in²
Finding the area of the trapezoid:
First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".
[Where, a₁ = shorter parallel side; a₂ = longer parallel side]
⇒ (a₁ + a₂)h/2 = Area of trapezoid
⇒ (14 + 26)15/2 = Area of trapezoid
⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²
Reviewing on how to find the area of the unshaded region:
To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.
Determining the height:
We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.
⇒ Height of trapezoid - Small side length = Height of triangle
⇒ 15 - 6 = Height of triangle
⇒ 9 in = Height of triangle
Determining the area of the unshaded region:
Now, let's substitute the base and the height in the formula to find the area of the triangle
⇒ 1/2 x Base x Height
⇒ 1/2 x 26 x 9
⇒ 13 x 9
⇒ 117 in²
Determining the area of the shaded region:
Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.
⇒ Area of trapezoid - Area of unshaded region = Area of shaded region
⇒ 300 - 117 = Area of shaded region
⇒ 183 in² = Area of shaded region
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
24
Step-by-step explanation:
Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]
Solving:
[tex]a^2+7^2=25^2[/tex]
[tex]a^2+49=625[/tex]
[tex]a^2=579[/tex]
[tex]\sqrt{a^2} = \sqrt{579}[/tex]
[tex]a=24[/tex]
Checking:
[tex]24^2+7^2=25^2[/tex]
Answer:
24
Step-by-step explanation:
Use the Pythagorean Theorem:
A^2 + B^2 = C^2
See the attached image.
I need help with this
Conclusion
And discussion
It’s a science assignments
Answer:
Step-by-step explanation:
more hcl = less time.
error in table drawing or values not precise. more explanation needed in pic.
yes. more hcl = less time.
In parallelogram crhs, the measure of angle c is 48.Find the measure of angle h?
Answer:
48°
Step-by-step explanation:
we know that opposite angle of parallelogram is equal
so,
angel C is equal to opposite angle H
H = 48
angle C = 48°
angle R = 132°
angle H = 48° (opposite of angle C)
angle S = 132°(opposite of angle R)
Mark me Brainiest please
pls help me i need help
Answer:
[tex]4p^2-3[/tex]
Step-by-step explanation:
pleaseeeeeeeee help me out here
Answer:
Step-by-step explanation:
-2 1/2 = -2.5( i between -2 and -3
-3/4 One mark short to 1
or 3 marks from zero
Answer:
The -2 1/2 would goin the middle of the -3 and -2. 3/4 would go on the 3rd line between 0 and 1. Hope this helped
Step-by-step explanation:
