Answer:
69
Step-by-step explanation:
Perimeter = sum of all sides of a regular polygon = the number of sides*length of a side
Length of a side of the given regular hexagon = 3x + 5
Perimeter of hexagon = 6(3x + 5) = 6(3x) + 6(5) = 18x + 30
Length of a side of the given regular pentagon = 4x - 1
Perimeter of pentagon = 5(4x - 1) = 5(4x) - 5(1) = 20x - 5
Since we are told that the perimeter of the regular hexagon is the same as that of the regular pentagon, therefore:
18x + 30 = 20x - 5
Solve for x.
Subtract 20x from both sides
18x + 30 - 20x = 20x - 5 - 20x
-2x + 30 = -5
Subtract 30 from both sides
-2x+ 30 - 30 = -5 - 30
-2x = -35
Divide both sides by -2
x = -35/-2
x = 17.5
Length of a side of pentagon = 4x - 1
Plug in the value of x
4(17.5) - 1 = 70 - 1 = 69
length of a side of the pentagon = 69
I’m confused and need help
Please help don’t know the answer
Answer:
D
Explanation:
I'm just typing this part to get to 20 characters
How many ways are there to make 14 cents using any combination of pennies, nickels and dimes?
Please help!! Almost my last question!! Will appreciate any help!!
if x+y=3, x²+y²=5 then find the value of xy
Answer:
[tex]\huge\boxed{xy = 2}[/tex]
Step-by-step explanation:
=> [tex]\sf (x+y)^2 = x^2 + y^2 + 2xy[/tex]
Given that [tex]\sf x + y = 3 , x^2 + y^2 = 5[/tex]
=> [tex]\sf (3)^2 = 5 + 2xy[/tex]
=> [tex]9 = 5 + 2xy[/tex]
=> [tex]9-5 = 2xy[/tex]
=> [tex]4 = 2xy[/tex]
Dividing both sides by 2
=> 2 = xy
OR
=> xy = 2
2nq = 3 + 7nq I'm doing math rn and I have trouble solving this
Answer:
nq = -3/5
Step-by-step explanation:
2nq = 3 + 7nq
5nq = -3
nq = -3/5
Jordan went to the amusement park with $50. He played 5 games each
costing $5. How much money is he left with?
25
O 20
-20
O 5
Answer:
he left with 0 dollars
Step-by-step explanation:
-2x2 - x + 7 +x2 +4x-5
Answer:
Need more?
Step-by-step explanation:
-x^2 + 3x + 2
Is this the answer?
Which of the following lists is in order from smallest to largest?
0.05, 0.2, 0.48, 0.6
0.2, 0.05, 0.48, 0.6
0.05, 0.2, 0.6, 0.48
0.2, 0.48, 0.05, 0.6
Answer:
The first one:
0.05, 0.2, 0.48, 0.6
h^2 + 11h +18. The factored expression is
Answer:
(h+9)⋅(h+2)
Step-by-step explanation:
1.1 Factoring h2+11h+18
The first term is, h2 its coefficient is 1 .
The middle term is, +11h its coefficient is 11 .
The last term, "the constant", is +18
Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18
Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is 11 . -18 + -1 = -19
-9 + -2 = -11
-6 + -3 = -9
-3 + -6 = -9
-2 + -9 = -11
-1 + -18 = -19
1 + 18 = 19
2 + 9 = 11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 9
h2 + 2h + 9h + 18
Step-4 : Add up the first 2 terms, pulling out like factors :
h • (h+2)
Add up the last 2 terms, pulling out common factors :
9 • (h+2)
Step-5 : Add up the four terms of step 4 :
(h+9) • (h+2)
Which is the desired factorization
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(h + 9)(h + 2)}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ {h}^{2} + 11h + 18}[/tex]
Here, we have to find out two numbers that adds to 11 and multiplies to 18
[tex] \dashrightarrow{ \sf{ {h}^{2} + (9 + 2)h + 18}}[/tex]
Distribute h through the parentheses
[tex] \dashrightarrow{ \sf{ {h}^{2} + 9h + 2h + 18}}[/tex]
Take h as common. Similarly, take 2 as common
[tex] \dashrightarrow{ \sf{h(h + 9) + 2(h + 9)}}[/tex]
[tex] \dashrightarrow{ \sf{(h + 9)(h + 2)}}[/tex]
Hope I helped!
Best regards! :F
What is the solution to 5(m - 2) – 10 = 6+2(1 - m)?
Enter your answer in the box.
m =
Answer:
m = 4
Step-by-step explanation:
Answer:
m=4
Step-by-step explanation:
5(m-2)-10=6+2(1-m)
5m-5*2-10=6+2*1-2*m
5m-10-10=6+2-2m
5m-20=8-2m
5m+2m=8+20
7m=28
m=28/7
m=4
The measure of an angle is 6° less than the measure of its complement. Write and solve an algebraic equation to find the measure of each angle. I need help!
Answer:
2x + 6 = 90
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees, so the sum of the angles is 90 degrees. We could let x be the measure of the angle. The other angle is x + 6, so the answer is x + x + 6 = 90, or 2x + 6 = 90
From the given measure whose angle is 6° less than the measure of its complement.
The measure of the two angles is 47° and 43° respectively.
Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves.
Mathematically;
Let the first angle be a and the second angle be b
∴
a + b = 90° (complemntary angles)
If one of the angles is 6° less than its complement;
i.e.
Let a = 6
SO, the algebraic equation for the value of a is:
a = b - 6
Replacing the value of a to solve the equation, we have:
(b - 6) + b = 90
2b - 6 = 90
2b = 90 - 6
2b = 86
b = 86/2
b = 43°
From a + b = 90°
a = 90° - 43°
a = 47°
Therefore, we can conclude that the measure of each angle is 47° and 43°.
Learn more about complementary angles here:
brainly.com/question/15592900?referrer=searchResults
square root of 1000 (simplified)
Answer:
10 √10
Step-by-step explanation:
Answer:
[tex]10\sqrt{10}[/tex]
Step-by-step explanation:
The largest perfect square of the factors of 1000 is 100. We can therefore convert √1000 like this:
√100 × 10
Next, we separate the numbers inside the √ as such:
√100 × √10
√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1000 in simplest radical form as follows:
10√10
I need the answer asap
Answer:
y=1/5x+7/5
Step-by-step explanation:
Find the equation of the line shown
Answer:
y=1/2x+0
Step-by-step explanation:
Since the slope is 1/2 and it starts at the origin, the b value is 0.
Answer:
1/2x
Step-by-step explanation:
How many solutions does the equation: 4x-8=2(2x-4) have?
HELP NEEDED ASAP PLEASE I’LL GIVE YOU BRAINLIEST
Answer:
d
Step-by-step explanation:
Answer:
D 3/4, 4/7, 7 2/3, -2(pie), -6.5
An archaeologist earns $9147 monthly. Determine the amount he is paid annually.
1. y = -2 √(25-x ) +8
2. y = -3 √(x+ 9) +4
Please help
X AND Y INTERCEPTS
1st Answer:
x = 9
Step-by-step explanation:
first you want to substitute the y
0 = -2 √(25 - x + 8)move the expression to the left
2 √(25 - x) = 8divide both sides
√25 - x + 4move the constant to the right
25 - x = 16calculate
-x = -9change the signs
x = 92nd Answer:
x = -65/9 OR x = - 7 2/9, x = - 7.2
Step-by-step explanation:
first you want to substitute the y
0 = -3 √(x + 9) = 4move the expression to the left
3√(x+9) = 4divide both sides
√(x+9) = 4/3move the constant to the right
x = 16/9 - 9calculate
x = -65/9
PLEASE HELP FAST PLEASE AND THANK YOU HELP MY SISTER MEH
Find the area of the shape shown below.
OH MY GOODNESS, THIS HAS BEEN UP FOR 35 MINUTES AND WITH 50 POINTS, HOW LONG DOES IT TAKE FOR SOMEONE TO ANSWER???
use the pythag theorem to find the missing side of the trIangle, then find the area of the triangle by using the formula 1/2(l*w). Then add the area of the two triangles to 200 and you have your answer.
Answer:
Try to use pythogorus theorum
is /62 rational or irrational
Answer:
yes it is rational
Step-by-step explanation:
it is rational because if 62 can be expressed as a ratio, then a quotient is the result you get when you divide one number by another number. For 62 to be a rational number, the quotient of two integers must equal 62. it can be expressed as a fraction in the form 62/1
A scientist has placed 40 bacteria into a petri dish the bacteria will double every hour
Answer:
that will be 80 bacteria the next hour and just keep multiplying the number of bacteria by 2.
Step-by-step explanation:
Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional developement for the year were $3,500. Which of the following represents his total employment compensation? a. $46,650 b. $47,650 c. $50,150 d. $53,650 Please select the best answer from the choices provided A B C D (Not D)
Based on the information given his total employment compensation is: a. $46,650
Total employment compensation:Using this formula
Total employment compensation=Total job benefits -Total job expenses for traveling and for professional development
Where:
Total job benefits=$50,150
Total job expenses=$3,500
Let plug in the formula
Total employment compensation=$50,150-$3,500
Total employment compensation=$46,650
Inconclusion his total employment compensation is: a. $46,650
Learn more about employment compensation here:https://brainly.com/question/24659002
Answer:
A. 46,650
Step-by-step explanation:
Edge 2022.
Can you help ASAP!!
WILL MARK YOU BRAINLIEST !!!
When factoring 6x^2−7x−20 by grouping, how should the middle term be rewritten?
It should be written as −x−7x.
It should be written as −2x−5x.
It should be written as 8x−15x.
It should be written as x−8x.
Answer:
It should be written as 8x-15x
Step-by-step explanation:
If you have any questions about the way I solved it, ask in the comments
Solve 3[-x+(2x+1)]=x-1
Answer:
x = 1
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
(Y to the eighth power)(y to the second power) simpified
Answer:
y^10
multiplication of exponents is like addition, you just add exponents
Charles buys 4 basketballs at a total cost of $36. What is the price per basketball?
Divide total cost by quantity.
$36 / 4 = $9 per basketball
A function is shown in the graph below.
Which of the following intervals are part of the domain of the function?
Select all that apply.
Answer:
Option (1)
Step-by-step explanation:
Lines given in the graph represent the piecewise function,
We will find the domain of the given pieces in each quadrant of the graph.
For a line in quadrant 2,
Domain (set of x-values) → [-4, -2]
For second line in the same quadrant,
Domain : [-1, 0]
For a line in quadrant 4,
Domain : [1, 3]
Therefore, Option (1) is the correct option,
Option (1). 1 ≤ x ≤ 3
Find the slope of the line shown
Answer: m= -1/2
Step-by-step explanation:
m is the gradient of a line. and the formula for gradient is (y2-y1)/(x2-x1)
first, find a point on the line, (-2,1) and that is equal to (x1,y1)
then find another point on the line, (2,-1) and that is equal to (x2,y2)
then substitute your points into the formula above and that is equal to
(-1-1)/(2-(-2))
= -2/4
= -1/2
that is your answer