A equation for the ninth term of a arithmetic sequence who seventh term is 21 and common difference of 5
Answer:
[tex]9th=31[/tex]
Step-by-step explanation:
From the question we are told that:
Seventh term [tex]7th= 21[/tex]
Common difference [tex]d= 5[/tex]
Generally Equation for seventh term
[tex]7th=a+(7-1)d[/tex]
Therefore the First Term is given as
[tex]a=7th-(7-1)d[/tex]
[tex]a=21-6*5\\a=-9[/tex]
Generally the equation for 9th term is mathematically given by
[tex]9th=a+8d[/tex]
[tex]9th=-9+8(5)[/tex]
[tex]9th=31[/tex]
5x+8y=535
how many is x and how many are y
Answer:
x= -8y / 5 +107
y = 535 - 5x / 8
Step-by-step explanation:
5x+8y=535
Subtract 8y from both sides.
5x=535−8y
Divide both sides by 5.
5x / 5 = 535 - 8y / 5
Dividing by 5 undoes the multiplication by 5.
x= 535−8y / 5
Divide 535−8y by 5.
x= -8y / 5 +107
5x+8y=535
Subtract 5x from both sides.
8y=535−5x
Divide both sides by 8
8y / 8 = 535 - 5x / 8
Dividing by 8 undoes the multiplication by 8.
y = 535 - 5x / 8
Hope this answer helps you :)
Have a great day
Mark brainliest
Please help me solve 5 and 6 for my homework
Answer:
(5) The perpendicular height of the triangle is 8.48 mm.
(6) The 1184.86 cm far up the wall the ladder reach.
Step-by-step explanation:
Part (5):
When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.
The figures is shown below.
In ΔABC,
CB = 6 mm
So,
CD = BD = 3 mm
Now calculating the perpendicular height of the triangle.
Using Pythagoras theorem in ΔADC:
[tex](AC)^2=(CD)^2+(AD)^2\\\\(9)^2=(3)^2+(AD)^2\\\\81=9+(AD)^2\\\\(AD)^2=81-9\\\\(AD)^2=72\\\\AD=8.48mm[/tex]
Thus, the perpendicular height of the triangle is 8.48 mm.
Part (6):
The figure is shown below.
Converting meter to centimeter:
1 m = 100 cm
So,
12 m = 1200 cm
Using Pythagoras theorem in ΔXYZ:
[tex](XZ)^2=(YZ)^2+(XY)^2\\\\(1200)^2=(190)^2+(XY)^2\\\\1440000=36100+(XY)^2\\\\(XY)^2=1440000-36100\\\\(XY)^2=1403900\\\\XY=1184.86cm[/tex]
Thus, 1184.86 cm far up the wall the ladder reach.
Find the median of 2,4,4,8
Answer:
4
Step-by-step explanation:
First, the numbers should be in ascending or descending order . Since, 4 numbers are in ascending order we don't have to do that .
Second, find the "middlest" of them . If there were total of odd numbers it would have been easier but, here is total of even number(4) and mean of 2 middlest number would be its median: (4+4)/2=4 .
plzz help me with the correct ans find x
Answer:
15
Step-by-step explanation:
Since, triangle ABC is the enlargement of triangle XYZ.
[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]
So, corresponding sides of both the triangles would be in proportion.
[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]
[tex] \therefore x= \frac{6\times 25}{10}[/tex]
[tex] \therefore x =\frac{150}{10}[/tex]
[tex] \therefore x = 15[/tex]
Which of the following is/are equal to 3.4?i)314ii)5115iii)3410
Ranking correct answer brainliest !
Answer:
a linear pair
Step-by-step explanation:
Answer:
It’s B
Step-by-step explanation:
Linear pairs means that it equals up to 180 degrees which we can see with HOB and TOB
What is the solution to the inequality 5.25 - b 2 6.52
+
+→
5
-5 -4 -3 -2 -1 0
1
2
3
4
OH ++
-5 -4 -3 -2 -1 0 1 2
+
3
+
4
5
OA
-5 -4 -3 -2 -1 0 1
2
3 4 5
-5 -4 -3 -2 -1 0 1 2 3 3 4 4 5
Answer:
1st option
Step-by-step explanation:
Solving the inequality
5.25 - b ≥ 6.5 ( subtract 5.25 from both sides )
- b ≥ 1.25
Divide both sides by - 1, reversing the symbol as a result of dividing by a negative quantity.
b ≤ - 1.25
Since less than or equal to the number line will have a solid circle at - 1.25 and the arrow pointing left.
The solution is represented on the first diagram
A roof top garden in the city measures 6 2/3 yards by 4 1/8 yards. Find the area of the roof top garden.
Answer:
27.5 square yards.
Step-by-step explanation:
Multiply the measures of the length and width to find the area. So 6 2/3 * 4 1/8 = 27.5
Lol! Quick question By the way this question is really simple! 3 × [(27 − 6) − (6 + 7)]
Answer:
24
Step-by-step explanation:
use a calculator for these type of problems next time!
the answer to this equation would be 24x
what is the equation for a line that passes through the points (5,-3) and (-10,15)
Answer:
7 is ur answer
Step-by-step explanation:
Please HELP ME it’s my test I need to turn IT IN. In A COUPLE MIN
Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by
A. cooking the fruit
B.dipping the fruit in a juice rich in vitamin C
C. freezing the fruit
D.dipping the fruit in chocolate
Answer:d
Step-by-step explanation:
Square root of 17 Is a number between
Answer:
D
Step-by-step explanation:
[tex]\sqrt{17} = 4.123[/tex]
So we can see that 4.123 lie between 4 and 5
Therefore, option (D) is correct
I need help with this it's urgent!
Answer:
I looks like it's anwser D
Answer:
$460.80
Step-by-step explanation:
with we us our formula equation I=prt we now cam solve for our depreciated value
with we substitute our varibles with the correct numerals we now get
I= 960 x 0.12 x 4
we turn our 12% into a decimal to be Simplified into our equation.
If we now solve we will get
I = 960 x 0.12 x 4
I = 460.8
What time will it be in 3/4 hour? Answer for me please x
Answer:
9:25
hope this helps
have a good day ;)
Step-by-step explanation:
3/4 of an hour=45 minutes so add 8:40 + 45 min
Answer:
9 : 25
Step-by-step explanation:
It shows 8 : 40
After 3/4 hour or 45 minutes.
8 : 40 + 20 minutes + 25 minutes
9 : 00 + 25 minutes = 9 : 25
Find the values of x and y. Leave answer in simplest radical form
Answer:
x = 4/√2
y = 4/√2
Step-by-step explanation:
Hypotenuse = 4
θ = 45°
x = Opposite side
y = Adjacent Side
a) Solving for x = Opposite side
We solve using Trigonometry function of Sine
sin θ = Opposite/Hypotenuse
sin 45 = x/4
Cross Multiply
x = sin 45 × 4
Note that : sin 45 = 1/√2
x = 1/√2 × 4
x = 4/√2
b) Solving for y
We solve using Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
cos 45 = x/4
Cross Multiply
x = cos 45 × 4
Note that : cos 45 = 1/√2
x = 1/√2 × 4
y = 4/√2
help me pls ill give brainliest and no links pls:)!<3
As both the angles are linear, their sum is equal to 180°
i.e m<EFG+m<GFH = 180
=>( 2n+17 )+(4n+37) = 180
=> 6n + 54 = 180
=> 6n = 180-54
=>6n =126
=> n= 21
m<EFG = 2(21)+17 = 59°
m<GFH =4(21)+37 =121°
Given: ∠EFG and ∠GFH are a linear pair
We know that: Sum of the angles which make a linear pair should be equal to 180°
⇒ ∠EFG + ∠GFH = 180°
Given :
∠EFG = 2n + 17
∠GFH = 4n + 37
⇒ 2n + 17 + 4n + 37 = 180°
⇒ 6n + 54 = 180°
⇒ 6n = 180 - 54
⇒ 6n = 126
⇒ n = 21°
Substituting the value of n in ∠EFG and ∠GFH, We get:
⇒ ∠EFG = 2(21) + 17 = (42 + 17) = 59°
⇒ ∠GFH = 4(21) + 37 = (84 + 37) = 121°
Find the length of the third side. If necessary, round to the nearest tenth. 24 28
Answer I believe it would be 32
Step-by-step explanation:if it’s 24, 28 it should be 32
Answer my question pls
Answer:
the answer is 20
Step-by-step explanation:
5×12 = 60
which means he had 60 points feom hitting the target
60-20=40
therefor he lost 40 points miing the target
40÷2=20
therefor he missed the target 20 times
In the spinner below what is the probability of landing on 6? (A p e x)
A. 6/10
B. 1/10
C. 1/6
D. 10/6
Answer:
1/10
Step-by-step explanation:
There're 10 probabilities
so 100 ÷ 10 = 10
so 10% = [tex]\frac{1}{10}[/tex]
Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room. Show all your work.
Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
evaluate h(0). What does this value represent?
Answer:
Step-by-step explanation:
Answer:
An equation is needed to evaluate h(0).
When you evaluate h(0), you find the y-intercept of the graph because the independent variable inside the brackets, probably x or t, equates to 0.
The problem is needed for its context to be explained.
Although in most math problems, when h(x) form is used, h usually represents height.
I assume h(0) is the initial height, maybe the height that the rocket was launched or the height that the person who threw the ball is.
hi can somebody plz help me
Answer:Its the last one to the left up
Step-by-step explanation:
The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.
Given:
The length of field is n yards.
The length of a field in feet is a function f(n).
To find:
The function rule for this situation.
Solution:
We know that,
1 yard = 3 feet
Using this conversion, we get
n yard = 3n feet
The length of field is n yards. So, the length of the field is 3n feets.
The length of a field in feet is a function f(n). So,
[tex]f(n)=3n[/tex]
Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].
In a group of 120 pupils , 80 can play drums and 25 play piano . How many pupils can play both instruments if there are 3 pupils who can play neither.
Answer:
12 pupilsStep-by-step explanation:
Number of pupils can play either instrument:
120 - 3 = 117Number of those can play both:
117 - (80 + 25) = 1210^7 is how many times as large as 3.10^3
Answer:
333831
Step-by-step explanation:
Answer:
10^7 is 10,000,000
3 x 10^3 is 3000
Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000
& you’ll get 3333.3
Step-by-step explanation:
A positive
B negative
C none
D multiple
Answer:
postive
Step-by-step explanation:
positive collums so it's positive
A career-placement test eliminates a profession when a person receives a score of 18 or less. The score is equal to the formula 2x - 3y, where x is the number of positive responses and y is the number of negative responses. Which graph represents the range of test results that would be eliminated under this scenario (all points may not apply to the scenario)?
Answer:
ITS D GOT 100 ON QUIZE
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
bc i said so
3. For the following system of equations, complete a table of at least 5 points for each equation, then graph the system on the coordinate plane. Describe the solution.
y = -3x + 4
6x + 2y - 8 = 0
Answer:
I'll do it for the equation, then you can try to solve the second one. Of your not able to, just comment and I'll answer the second one
Step-by-step explanation:
y = -3x+4
When
___x__l _y____
0 l 4
1 l 1
2 l -2
3 l -5
4 l -8
Simplify 6(x + 3).
6x + 3
x + 18
6x + 18
6x + 9
Answer:
the answer of this question is = 6x + 18