Answer:
[tex]a_n=50+(n-1)30[/tex]
Step-by-step explanation:
Given series is,
50,80,110....
First term, a = 50
Common difference, d = 80-50 = 30
We need to find the nth term of the given sequence.
The nth term of an AP is given by :
[tex]a_n=a+(n-1)d[/tex]
Put a = 50 and d = 30 in the above formula
[tex]a_n=50+(n-1)30[/tex]
Hence, the nth term of the sequence is [tex]a_n=50+(n-1)30[/tex].
How many different triangles can you make if you are
given these three measurements for angles?
25
120°
35
00
с
0
1
2
3
(infinitely many)
6. Represent each of the following elevations using a rational number. Then, order the numbers from least to
greatest
122 meters above sea level
Cayuga Lake
1,629 meters above sea level
Mount Marcy
New York Stock Exchange Vault
15.24 meters below sea level
Answer:
-15.24m ; 122 m ; 1629 m
Step-by-step explanation:
Representing the elevation of the Given monuments with rational numbers :
The sea level is regarded as a midpoint ; or zero level whereby points below are represented as negative while points above are represented as positive
Cayuga lake = 122 meters above sea level = + 122 meters
Mount Marcy = 1,629 meters above sea level = + 1629 meters
New. York stock exchange vault = 15.24 meters below sea level = - 15.24 m
Arranging from least to highest :
-15.24m ; 122 m ; 1629 m
The base of a parallelogram is (2+3)units and the corresponding height is (2−3)units.Find the area of the parallelogram in terms of .What will be the area of the parallelogram if =units?
Answer:
In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex].
If x = 30 units, the area will be of 3591 units squared.
Step-by-step explanation:
Area of a parallelogram:
The area of a parallelogram of base b and height h is given by:
[tex]A = bh[/tex]
In this question:
We have that [tex]b = 2x + 3, h = 2x - 3[/tex].
So
[tex]A = (2x + 3)(2x - 3) = 4x^2 - 6x + 6x - 9 = 4x^2 - 9[/tex]
In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex]
If x = 30 units:
[tex]A = 4*30^2 - 9 = 4*900 - 9 = 3600 - 9 = 3591[/tex]
If x = 30 units, the area will be of 3591 units squared.
Solve for x (round to the nearest thousandth)
to
FREE
HEALTH
le
110
CA
65
40°
х
Answer:
x = 79.799
Step-by-step explanation:
Apply trigonometric ratio formula to find x.
Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.
✔️Adjacent length of the triangle with reference angle 40°:
tan (40) = 110/adj
adj*tan(40) = 110
Adjacent length = 110/tan(40)
Adjacent length = 131.093 (nearest thousandth)
✔️Adjacent length of the triangle with reference angle 65°:
tan (65) = 110/adj
adj*tan(65) = 110
Adjacent length = 110/tan(65)
Adjacent length = 51.294 (nearest thousandth)
✔️Find x:
x = 131.093 - 51.294
x = 79.799
PLEASE HELP ME!!!!
A 25-foot wire connects the top of a utility pole to a point on the ground located 7 feet away from the base of the pole.
If h represents the height of the pole, what is its measure?
A. 175 ft.
B. 24 ft.
C. 674 ft.
D. 1250 ft.
Answer:
The answer is D
Step-by-step explanation:
The measure of the height of the pole (h) will be;
⇒ h = 24 ft.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
The length of the wire which connects the top of a utility pole to a point on the ground = 25 foot
And, A point on the ground located 7 feet away from the base of the pole.
Now,
Let the height of the pole = h
So, We can apply the Pythagoras theorem as;
⇒ 25² = h² + 7²
⇒ 625 = h² + 49
⇒ h² = 625 - 49
⇒ h² = 576
⇒ h = √576
⇒ h = 24 ft.
Thus, The height of the pole = 24 ft.
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ2
9. Which of the following numbers is the greatest?
A. 0.2324
B. 0.2324
C. 0.2324
D. 0.2324
E. 0.2324
Answer:
None there all the same
Step-by-step explanation:
Answer:
Lol I could be wrong but I think all of the above
what is another way to write 6⋅(4/3)=8
Answer:
8 = 8
Step-by-step explanation:
6(4/3) = 8
8 = 8
Reema has a road map with a scale of 1 cm representing 20 km. She drives 80 km on the road. What is the distance covered according to the map?
Answer:
4 cm on map
Step-by-step explanation:
since 1 cm on map represents 20 km on road, we can either use proportion or ratio to solve this, I'm using direct proportion
map : road
1 : 20
x : 80
20x = 80
x = 80/20
x =4
so 80 km on road is 4 cm on map
please give brainliest
A shipping box, in the shape of a cube, has a volume of 2,300 cubic inches. Calculate the length of the side of the shipping box to the nearest tenth
Answer:
The side length is approximately 13.2 inches
Step-by-step explanation:
Given
[tex]Volume = 2300in^3[/tex]
Shape: Cube
Required
Determine the side length
Represent each side with x.
So, we have:
[tex]Volume = x^3[/tex]
Substitute 2300 for Volume
[tex]2300 = x^3[/tex]
Take cube roots of both sides
[tex]\sqrt[3]{2300} = x[/tex]
[tex]x = \sqrt[3]{2300}[/tex]
[tex]x = 13.2\ in[/tex] -- approximated
Guests at a picnic try to guess the number of candies in a jar. The distribution of guesses has a mean of 858585 candies and a standard deviation of 121212 candies.
Suppose the jar actually holds 105105105 candies, and we want to convert each guess to its error—that is, we'll subtract 105105105 from each guess to see how far above or how far below the guess was from the correct number.
Answer:
-20 12
Step-by-step explanation:
The new mean of candies = 20 and the standard deviation is 12.
Given that,
Guests at a picnic try to guess the number of candies in a jar.
Mean = 85, standard deviation = 12
the jar actually holds 105 candies,
Want to convert each guess to its error, that is, we'll subtract 105 from each guess.
The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.
Statistics is the study of mathematics that deals with relations between comprehensive data.
Since,
Mean = 85,
jar actually holds 105 candies
New mean = 105 - 85
= 20
Since,
When a certain value is subtracted from all the values standard deviation still remains the same.,so
Standard deviation = 12
Thus, the new mean of candies = 20, and the standard deviation is 12.
Learn more about Statistics here: https://brainly.com/question/23091366
#SPJ2
54 out of the 60 magazines at the bookstore are women's magazines. What percentage of the magazines at the bookstore are women's magazines?
Answer:
90
Step-by-step explanation:
for percentage
[tex]\frac{54}{60}[/tex]×100
= 0.9×100
=90
Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?
point
line
plane
distance
Answer:
B. Line
Step-by-step explanation:
got it right on edge 2021
Answer:
line
Step-by-step explanation:
Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round you answer to the nearest tenth.
Answer:
7.1
Step-by-step explanation:
write pythagorean theorem [tex]x^{2}[/tex] + [tex]x^{2}[/tex] = [tex]10^2[/tex]
2[tex]x^2[/tex] = 100
divide 2 both side:
[tex]x^{2}[/tex] = 50
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{50}[/tex]
[tex]x[/tex] = [tex]\sqrt{50}[/tex]
[tex]x[/tex] = 7.07106781
round to nearest tenth:
[tex]x[/tex] = 7.1
simplify
(x-y)square2 +(2x+3y)square2
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST WITH WORK SHOWN!!!
Due to inflation there were two demand increases. After the second increase the price for a certain item became twice as big as the original. By what percent was the first increase, if the second increase was 25%?
4x^2−4x+10 and 2x^2+5x-82x^2+5x−8.
2(2x^2-2x+5) and 2(40x^2-5x+4)
Step-by-step explanation:
Answer:
4x^2−4x+10 = 2(2x^2−2x+5)
2x^2+5x-82x^2+5x−8 = 2(−40x^2+5x−4)
Step-by-step explanation:
4x^2−4x+10
Factor 4x^2−4x+10
4x^2−4x+10
=2(2x^2−2x+5)
2x^2+5x-82x^2+5x−8
Factor 2x^2+5x−82x^2+5x−8
−80x^2+10x−8
=2(−40x^2+5x−4)
A quantity with an initial value of 3400 grows exponentially at a rate of 1.5% every 3 minutes. What is the value of the quantity after 1.65 hours, to the nearest hundredth?
Answer:
FV= 5,557.23
Step-by-step explanation:
Giving the following information:
Present value= 3,400
Growth rate (g)= 1.5% every 3 minutes
Number of periods (n)= (1.65*60) / 3= 33
To calculate the future value, we need to use the following formula:
FV= PV*(1+g)^n
FV= 3,400*(1.015^33)
FV= 5,557.23
A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 degrees. How long will it take for the temperature to rise to 60 degrees?
Answer:
3 hours
Step-by-step explanation:
The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.
60 - 45 = 15 degrees
Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees
15 / 5 = 3 hours
It will take 3 hours for the temperature to rise to 60 degrees.
Represent time with x, and the temperature with y.
So, the given parameters can be represented using the following ordered pairs
(x,y) = (0,40) (1, 45), (x,60)
Start by calculating the slope using:
[tex]m = \frac{y_2-y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{45 -40}{1-0}[/tex]
[tex]m = 5[/tex]
Calculate the slope again, using a different set of points.
So, we have:
[tex]m = \frac{60 - 45}{x - 1}[/tex]
This gives
[tex]m = \frac{15}{x}[/tex]
Multiply both sides by x
[tex]mx = 15[/tex]
Divide both sides by m
[tex]x = \frac{15}m[/tex]
Substitute 5 for m
[tex]x = \frac{15}5[/tex]
[tex]x = 3[/tex]
Hence, it will take 3 hours for the temperature to rise to 60 degrees.
Read more about linear functions at:
https://brainly.com/question/15602982
A triangle has vertices A (3,2), B (-5,-3), and C (-5,2) .
What is the perimeter, in units, of triangle ABC ? Round your answer to the nearest tenth.
Answer:
22.4 units
Step-by-step explanation:
A triangle has vertices A (3,2), B (-5,-3), and C (-5,2) .
We solve for the units
Therefore perimeter, in units, of triangle ABC is 22.4 units
Solve for s.
3(7.68 + 9s) = -3(-6.8s - 7.02)
Step-by-step explanation:
answer is -0.3.............
Select the number line that shows that two opposite numbers have a sum of
0.
7
O A.
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
3
OB. +
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
2
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
D.
Answer:
this question is kinda everywhere can you tell me what it is asking
Step-by-step explanation:
2/3x-1/3y=2 in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
Divide the following problem:
5 ÷9/10
Answer:
5 5/9
Step-by-step explanation:
Hope this helps
X= square root of 10x-24
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting at least 1 red?
Answer:
5/11
Step-by-step explanation:
P(atleast 1 red) = 1 - P(no red)
P(atleast 1 red) = 1 - [(6/11)(5/11) + (6/11)(6/11)]
P(atleast 1 red) = 5/11
Answer:
6/11
Step-by-step explanation:
6+5 = 11 marbles
This is how you solve it.
How do I graph the solution
HELP FAST PLEASE Last year, the Humane Society of a certain city took in 21 320 animals. If the Humane Society
was open all 52 weeks that year, how many animals were taken in each week on average?
Answer:
Step-by-step explanation:
to find the average of how many animals were took in, you will divide
21320/52=410
on average, the society took in 410 animals per week
What is the perpendicular slope of m= -3/2
Answer:
-2/3
Step-by-step explanation:
2.14a
+1.b25
______
c.865
how do I solve this and what are the answers for a. b. and c.
Answer:
a=0, b=7, c=3
Step-by-step explanation:
Addition
The following addition is shown, where a,b, and c are unknown:
2.14a
+ 1.b25
-------------
c.865
We'll determine the values of the unknown variables by following the rules of addition.
The last column shows a+5=5. Since a cannot be greater than 9, thus a must be 0.
a = 0
This sum produces no carry.
Now we have 4 + 2 = 6
This is already correct and no variable needs to be calculated
Now we have 1 + b = 8. This leads to b=8-1=7
b = 7
This sum produces no carry.
Finally: 2 + 1 = c. This implies that
c=3
Substituting in the addition:
2.140
+ 1.725
-------------
3.865
what does perpendicular mean?
Answer:
a straight line at an angle of 90° to a given line, plane, or surface.
Step-by-step explanation:
Answer:
Perpendicular means lines that intersect at a right ( 90 degrees) angle.I HOPE IT HELPS ❤❤