76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)
Answers
Answer:
98.8 cm²
Step-by-step explanation:
Hi there!
[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)
1) Find the perimeter
[tex]P=5l[/tex] where l is the side length
Plug in the side length 7.6 cm
[tex]P=5(7.6)\\P=38[/tex]
Therefore, the perimeter of the pentagon is 38 cm.
2) Find the area
[tex]A=\frac{1}{2} Pa[/tex]
Plug in the perimeter (38) and the apothem (5.2)
[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]
Therefore, the area of the pentagon is 98.8 cm².
I hope this helps!
Related Questions
Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A.
What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?
Answers
Answer:
The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.
What is logo e' rewritten using the power property?
O elog6f
O flog6e
O log6(e•f)
O log6(e+ f)
Answers
Step-by-step explanation:
The power property of logarithm rule is :
Logamn = nlogaM
Applying the logarithm of power rule in the given expression we have:
Log6eF= flog6e
The second option that is flog6e is the right option among all the given options.
8x−10 ∘ +4x+52 ∘ =90 ∘
Answers
Answer:
[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]
➳The value of x = 4.Now, the value of the angles,
[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]
➳ 1 angle = 22°[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]
➳ 2 angle = 68°ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]
Are the following figures similar?
Answers
Answer:
no
Step-by-step explanation:
45/36=1.25
1.25x18=22.5
not 25
no common factor
so not similar
suppose g(x)=f(x+1)+5.which statement best compares the graph of g(x) with the graph of f(x)
Answers
Answer:
g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)
Step-by-step explanation:
g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)
finish solving for x
NO LINKS OR I WILL REPORT
Answers
Answer:
x=10 y=20
Step-by-step explanation:
What is the value of X
What is the value of Y
I will crown u and give you 20 extra points
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
4) 35° and x° are vertical angles, so they are congruent to each other. Therefore, x°=35°. Since y°+y°+35°=180° since they are all supplementary to each other, then y°=72.5° when solved.
5) A is true. Think of two adjacent angles measured 60° and 30° that are next to each other. They add up to 90° as well.
B isn't true. Vertical angles are congruent to each other, not supplementary.
C isn't true. The statement contradicts itself. Complementary angles add up to 90° while supplementary angles add up to 180°
The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?
A The range for Daniel's data is greater than Sam's range.
B The median for Daniel's data is the same as the median for Sam's data.
C The range for Daniel's data is the same as the range for Sam's data.
D The median of Sam's data is greater than the median of Daniel's data.
Answers
Answer:
B.
Step-by-step explanation:
Sam median = 12 which has 3 points scored.
Daniel median = 16 which has 3 points scored.
Both scored the same amount of data which is 3 points.
Both the ranges are 16. so it cant be A or C.
PLEASE HELP ME!!!!!!!!!!!
Answers
Answer:
Yes.
Step-by-step explanation:
In order to form a triangle the sum of two sides should exceed the third side.
so here the given measurements fulfill this statement so
with the given lengths ; 15, 12 , 9 can form a triangle.
Help me it’s due in 20 minutes!!
Answers
Help pls no links or I’ll report
Answers
Answer:
A) 6x - 3 + 8x
B) 14x - 3
E) 2 (3x - 2) + 8x + 1
Option 1, 2, and 5 are the correct answers.
Which job here requires the least amount of training and education
A. Elementary Teacher
B. College professor
C. Cashier
D. Accountant
Answers
Answer:
Cashier
Step-by-step explanation:
An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.
Answer:
C. Cashier
Step-by-step explanation:
Retail cashiers require no formal training.
To be an elementary teacher, you must have at least a Bachelor's degree.
To be a college professor, you must have at least a Master's degree.
To be an accountant, you must have at least a Bachelor's degree.
A game rental service allows customers to rent games for $5 each
after paying a monthly membership fee of $7. The total amount
spent each month can be modeled by y=5x+7. What does the
variable x represent in this function?
a) The total money spent each month
b) The number of games rented
c) The cost of renting 1 game
Anyone can help
Me with this?
Answers
Answer:
the number of games rented
Step-by-step explanation:
in y=5x + 7
7= membership fee
5x represents the $5 per game times the number of games rented x
They cost 5 each, so u would multiply that times the number of games u bought
Solve the system by substitution 8y+3=x 9x-5y=-40
Answers
Point Form:
(-5,-1)
Equation Form:
X = -5 and Y = -1
Hope this helps :)
Have a great day!
If the gradient of the line segment joining (-3,7 ) and (4,p) is 3/5 ,find p
Answers
Answer:
a
Step-by-step explanation:
Determine the volume of the rectangular prism.
Answers
Answer:
132in
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]
hope it helps
have a nice day
choose the bast description for the real number 34/3
Answers
Step-by-step Answer:
C and D are both correct as fractions. Numbers are NOT irrational because they are a fraction. And concluding decimals are both rational numbers. By using a known formula you can convert reaptedly decimals to a fraction.
The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor? (x + 3) (x + 7) (x + 12) (x + 13)
Answers
Answer: [tex]x+3[/tex]
Step-by-step explanation:
Given
[tex](x+5)[/tex] is a factor of [tex]x^2+8x+15[/tex] , that is
If [tex]x^2+8x+15[/tex] is divided by [tex](x+5)[/tex], it yields 0 remainder
Solve the quadratic equation
[tex]\Rightarrow x^2+8x+15=0\\\Rightarrow x^2+3x+5x+15=0\\\Rightarrow (x+3)(x+5)=0\\\Rightarrow x=-3,-5[/tex]
Therefore, [tex]x+3[/tex] is another factor of the quadratic equation.
Answer:
x+3
Step-by-step explanation:
its A or first option or (x+3)
what is the mean of the data? 24,31,12,38,12,15
Answers
Answer:
Hello Love! Answer: 22
Step-by-step explanation:
The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!
Find the value of x.
Answers
Answer:
x = 11
Step-by-step explanation:
What is the measure of the base of the triangle? The base of the triangle b has a measure of inches.
Answers
Answer:
27
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
Brownies, b are 30 more than half the calories of a piece of cake c, write an equation
Answers
Answer:
b = 30 + c ÷ 2
Step-by-step explanation:
b = brownies
c = cake
Consider this equation.
cos(θ) = 4sqrt41/41
If θ is an angle in quadrant IV, what is the value of sin(θ) ?
Answers
Answer:
A. -5√41/41Step-by-step explanation:
Let the horizontal leg = 4√41 and the hypotenuse = 41 as
cosine = adjacent leg / hypotenuse.Then the vertical leg is:
√(41² - 16*41) = √25*41 = 5√41Since the vertical leg is below the x-axis, its value is -5√41
Then we have:
sin (θ) = -5√41/41Correct choice is A
Answer:
Step-by-step explanation: i just take the test
circumstances of 4 inches. (exact, approximate) and find the exact and approximate area.
Answers
Answer:
it keepz saying what i type in here is rude and wont lemme send it help
PLSSS HELPPPPP WILL REWARD THE BRAINLIESTTT SOONER OR LATER THATS A PROMISE
Answers
Answer:
Divide both sides by L
Step-by-step explanation:
Because L is multiplied by W, to find W you would need to move the L to the other side by doing the reverse operation, which in this case is division.
Abigail and Grace collected clovers. Abigail collected clovers with
4 leafs and Grace collected clovers with 5 leafs. They counted the
number of leafs in both collections and realized that it is the
same. What is the least number of leafs that each collection must
have?
Answers
Answer:
20
Step-by-step explanation:
To find the least number of leafs that each collection must have, we find the L.C.M of both numbers. So L.C.M of 4 and 5.
The prime factors of 4 = 2²
The prime factors of 5 = 5
So L.C.M of 4 and 5 = 2² × 5 = 20
So, the least number of leafs that each collection can have is 20 leafs.
What is 721295.198715 rounded to the nearest tenth
Answers
Answer:
The answer is 721295.2
Answer:
721,295.2
Step-by-step explanation:
I used the "Rounding Numbers Calculator" on Calculator Soup
Please helpp!! (30 POINTS)!!!
Answers
Answer:
b
Step-by-step explanation:
11+11+10+10=42cm
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
3.2 AT
The angles in the smaller prism measure 90
degrees.
The perimeter of the rectangular bases changes by
a factor of 2.
The surface area changes by a factor of 8.
The larger prism has twice the volume of the
smaller prism.
The area of the rectangular bases changes by a
factor of 4.
1.6
-
-
-
-
-
-
10.4
V
0.8
2.2.
Answers
Answer:
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
E)The area of the rectangular bases changes by a factor of 4.
Step-by-step explanation:
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
C)The surface area changes by a factor of 8.
D)The larger prism has twice the volume of the smaller prism.
E)The area of the rectangular bases changes by a factor of 4.
Solution:
Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.
A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.
Option A is correct.
B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6
Perimeter of smaller prism base = 2(1.1 + 0.4) = 3
The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).
Option B is correct.
C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72
Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68
The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)
Option C is wrong
D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632
Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704
The larger prism volume is not twice of the smaller prism
Option D is wrong
E) Area of bigger prism base = 2.2*0.8 = 1.76
Area of smaller prism base = 2.2*0.8 = 0.44
The area of the rectangular bases changes by a factor of 4 (1.76 / 0.44 = 4)
PLEASE HELP FAST!!!
The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport.
Soccer
Sophomores (35%) 50%
Juniors (33%) 45%
Seniors (32%) 30%
Total (100%) (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 or about 42%
Find the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport.
P(junior ∩ soccer) =
A) 0.45
B) 0.78
C) 0.52
D) 0.15
Answers
Answer: a is your answer hope this helped
plz make brainly
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
