Answer:
2
Step-by-step explanation:
a2 = a1×3
a3 = a2×3 = a1×3×3
=>
an = an-1 × 3 =
[tex]a1 \times {3}^{n - 1} [/tex]
a5 = 162 = a1×3⁴ = a1×81
a1 = 162/81 = 2
A circular garden is surrounded by a circular path of 7m width.If the area of path is 770m²,find the area of the garden without path.
help me this question ⁉️
Answer:
Answer:
Radius of the circular garden
= 210 sq
=105m
Radius of the region covering the garden and the path =105m+7m
=112m
Area of the region between two concentric circles
with radius of outer circle R, and inner circle r =π(R sq−r sq)
Hence, the area of the path
=π(112sq−105 sq)= 7/22
(12544−11025)
= 33418/7
=4774m sq
HOPE THIS WILL HELP YOU MATE
Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Thanks!
Given:
The three exterior angles of a pentagon measures 60,80 and 90.
To find:
The measure of other two exterior angle, assuming them equally.
Solution:
Let x be the measure of two other exterior angles of the pentagon.
We know that the sum of all exterior angles of a pentagon is 360 degrees.
[tex]60^\circ+80^\circ+90^\circ+x+x=360^\circ[/tex]
[tex]230^\circ+2x=360^\circ[/tex]
[tex]2x=360^\circ-230^\circ[/tex]
[tex]2x=130^\circ[/tex]
Divide both sides by 2.
[tex]\dfrac{2x}{2}=\dfrac{130^\circ}{2}[/tex]
[tex]x=65^\circ[/tex]
Therefore, the measures of both exterior angles are 65 degrees.
If x = 7+3 root 5 by 7 - 3 root 5 , find the value of x^2 + 1 by x^2
Answer:
6 because why not
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Write using exponents.
5.5.5. b. b. b.b
1 2 3 4 5 6 89
F9 CDI
a|b|x
NEXT QUESTION
O ASK FOR HELP
TURN IT IN
simplify the ratio 4.5: 3 1/2 in its simplest form
Answer:
9 : 7
Step-by-step explanation:
Given
4.5 : 3 [tex]\frac{1}{2}[/tex] ( multiply both parts by 2 to clear the fractions )
= 9 : 7
Find the rate of change for the function of change from x=-3 to x=1
Answer:
She's, "HOT"!
Step-by-step explanation:
One number is 96 more than another. Their ratio is 5:17. Find the numbers
Answer:
40 and 136
Step-by-step explanation:
The ratio of the 2 numbers = 5 : 17 = 5x : 17x ( x is a multiplier )
One number is 96 more than the other then
17x = 5x + 96 ( subtract 5x from both sides )
12x = 96 ( divide both sides by 12 )
x = 8 , then
5x = 5 × 8 = 40
17x = 17 × 8 = 136
The 2 numbers are 40 and 136
How many pairs of intersecting line segments are shown?
A. 4
B. 8
C. 16
D. 24
Answer:
I believe the answer is 24.
Step-by-step explanation:
hope it helps.
The graph shows a proportional relationship. Which equation matches the
graph?
10
14
12
10
8
6
4
2
10
2
14
4
8
10 12
O A. y = x
O B. y = 2
O C. y = 50
O D. 9=152
Answer:
C.
Step-by-step explanation:
i guess it's letter c. y=50
Ashvin want to replace the carpet in your living room and hallway with laminate flooring.
Find the total area of the hallway and living room.
Answer:
I’m sorry but you need to edit this question, it is incomplete.
Step-by-step explanation:
I see nothing, if there is supposed to be an image attached, please i attach it again, tnx!
I could help you though
What is the result of isolating x^2 in the equation below?
y^2-3x^2 = 6
Answer;
x² = 42 - 2
3
Step-by-step explanation:
#carryonlearning
Answer:
Step-by-step explanation:
y² - 3x² = 6
Subtract y² from both sides
-3x² = 6 - y²
Divide by -3
[tex]\frac{-3x^{2}}{-3}=\frac{6-y^{2}}{-3}\\\\x^{2}=\frac{y^{2}-6}{3}[/tex]
Question 4
Points 2
A girl cycled a total of 15 kilometers by making 5 trips to work. How many trips will she have to make to
cover a total of 24 kilometers? Solve using unit rates.
help plss i will make you brainl
Answer:
3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
4 vehicles have been driven between 50 and 100 thousand kilometers.
2 vehicles have been driven at 250 and 300 thousand kilometers.
4 - 2 = 2
PLS MARK BRAINLIEST
Select the two values of x that are roots of this equation.
x² + 3x-6=0
A. X=
-3+ /33
2
B. x=-3-83
c. x. -3-15
D. x. -3*4/15
please help
Answer:
[tex]x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]
Step-by-step explanation:
[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 3 + - \sqrt{9 + 24} }{2} \\ x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]
−3x−6+(−1)
need answer pls
Step-by-step explanation:
−3x−6+(−1)
-3x-7
Hope it helps youAnswer:
−3 −7
Step-by-step explanation:
-3x-6-1
-3x-7
Refer to pictures above
Answer:
6.9
Step-by-step explanation:
Cos ∆ = Adjacent/Hypotenuse
therefore x=12Cos55°
=6.88
=6.9 to the nearest tenth
Given the triangle below, what is mA, rounded to the nearest tenth?
Answer:
A. 24.2°
Step-by-step explanation:
I'm correct if I'm rwong
If you sell 25 items at $150 a piece and your commission rate is 40%, how
much commission do you earn?
Answer: 1500 dollars.
Step-by-step explanation:
25 * 150 = 3750 (dollars) - total sale amount;
3750 : 100% * 40% = 1500 (dollars) - commission.
if you know the value of X and Y.. please let me know.
Find the measure of each angle indicated.
23)
A) 125°
C) 120°
B) 110°
D) 112°
Answer:
B
Step-by-step explanation:
The exterior angles of the triangle sum to 360° , then
? + 107° + 143° = 360°
? + 250° = 360° ( subtract 250° from both sides )
? = 110° → B
1. Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0,6).
Explain Paul's mistake and write the
correct ordered pair for the new location of
the market.
PLZ ALSO INCLUDE WHAT HIS MISTAKE WAS!
ANSWER FOR Brainiest!!!
Someone please help me out
Answer:
[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)( {x}^{2} - 1)[/tex]
There are 103 pounds of wood pieces in a bag. Each wood piece weighs 53 pounds. How many wood pieces are there in the bag?
Answer:
Approximately 2
Step-by-step explanation:
103 divided by 53 is 1.94
Round 1. 94 up to a whole number is approximately 2 wood pieces.
Classify the following triangle. Check all that apply.
113
Jason
A. Isosceles
B. Scalene
O C. Acute
D. Right
E. Equilateral
OF. Obtuse
Answer:
A
Step-by-step explanation:
Because 113 %45*45 that gives you isosceles
Answer:isosceles and right.
Step-by-step explanation:
Factor the trinomial 7x2 – 3x – 4.
Which pair of numbers has a product of ac and a sum of b?
What is the factored form of the trinomial?
Answer:
(x - 1)(7x + 4)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 7 × - 4 = - 28 and sum = - 3
The factors are - 7 and + 4
Use these factors to split the x- term
7x² - 7x + 4x - 4 ( factor first/second and third/fourth terms )
= 7x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term
= (x - 1)(7x + 4) ← in factored form
Answer:
-7 and 4
(7x+4)(x-1)
Step-by-step explanation:
Pes
Refer to the figure below to answer the following questions.
2 ft
4 ft
Find the surface area. Round to the nearest tenth.
75.4 ft2
50.3ft2
62.8 ft2
0 25.1 ft2
Answer:
75.4
Step-by-step explanation:
75.4area of cylinder is 2pie r h plus 2 pie * 2^2
Try Again
Alvin is 7 years older than Elga. The sum of their ages is 79. What is Elga's age?
39 уга
years old
?
Answer:
36 years
Step-by-step explanation:
Let
x = Elga's age
Alvin's age = x + 7
Sum of their ages = 79
Sum of their ages = Alvin's age + Elga's age
79 = (x + 7) + x
79 = x + 7 + x
79 = 2x + 7
79 - 7 = 2x
72 = 2x
x = 72/2
x = 36
Elga's age = x = 36 years
Alvin's age = x + 7
= 36 + 7
= 43 years
the salesperson recieved $2,800 commission on her 35% share of the total commission on the sale of a property that was sold for $160,000. What was the commission rate?
Answer:
5%
.35x = 2800
x = 8000
p(160,000)=8000
p=.05 = 5%
Step-by-step explanation:
What is domain and range of the following graph? 10 points!!!
Answer:
domain R
range is ] - infinity, -4]
to assure u :)
PLEASE PLEASE PLEASE HELP ME. IM STUCK IN A SUMMER SCHOOL AND IF I DONT GET GOOD GRADES ILL GET IN BIG TROUBLE AND IM TOTALLY LOST ON THIS PROBLEM. I ALREADY DID THE FIRST TWO BUT I DONT KNOW HOW TO DO THE LAST ONE. PLEASE HELP ME!!!!
Answer:
We know that in the box there are:
4 twix
3 kit-kat
Then the total number of candy in the box is:
4 +3 = 7
a)
Here we want to find the probability that we draw two twix.
All the candy has the same probability of being drawn from the box.
So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:
p = 4/7
Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.
this time the probability is:
q = 3/6 = 1/2
The joint probability is the product of the individual probabilities, so here we have
P = p*q = (4/7)*(1/2) = 2/7
b) same reasoning than in the previous case:
For the first bar, the probability is:
p = 3/7
for the second bar, the probability is:
q = 2/6 = 1/3
The joint probability is:
P = p*q = (3/7)*(1/3) = 1/7
c) Suppose that first we draw a twix.
The probability we already know that is:
p = 4/7
Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)
q = 3/6
The joint probability is:
P = p*q = (4/7)*(3/6) = 2/7
But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:
Probability = 2*P = 2*2/7 = 4/7