Help? im confused plss!
Find the area of the regular polygon with the given radius or apothem
Answers
Answer:
50 cm²
Step-by-step explanation:
Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:
A = 1/2(d1)(d2)
where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...
A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon
__
Alternate solution
If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...
A = 1/2r²sin(α)
where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...
A = n/2·r²·sin(360°/n)
For n = 4 and r = 5 cm, the area is ...
A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square
_____
Additional comment
The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:
r = a·sec(180°/n)
Another formula uses the apothem directly:
A = n·a²·tan(180°/n)
Related Questions
Four friends went to a basketball game. Each ticket
cost $80 and all four friends bought jerseys
for $15 each.
a. What does the expression 4(80 + 15) represent?
Explain in words.
b. Evaluate the expression in question 1.
c. Evaluate the expression 4.80 +4. 15. What do
you notice?
Answers
Answer:
a) four friends bought each ticket for $80 and also
bought a Jersey for $15
b) 4(95)
= 380
c) 8.95 - the answer is in decimal
5x+9y=−10
7x+10y=−1
help how do i solve this
Answers
Answer:
{x,y} = {7,-5}
Step-by-step explanation:
Solve equation [2] for the variable y
[2] 10y = -7x - 1
[2] y = -7x/10 - 1/10
Plug this in for variable y in equation [1]
[1] 5x + 9•(-7x/10-1/10) = -10
[1] -13x/10 = -91/10
[1] -13x = -91
Solve equation [1] for the variable x
[1] 13x = 91
[1] x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Answer:
(x , y) = (7 , -5)
Step-by-step explanation:
{x, y} = {7, -5}
System of Linear Equations entered :
1. 5x + 9y = -10
2. 7x + 10y = -1
(Shown on graph below)
Solve equation 3 for the variable the y
10y = -7x - 1
y = -7x/10 - 1/10
Plug this in for variable y in equation 1
5x + 9•(-7x/10-1/10) = -10
-13x/10 = -91/10
-13x = -91
Solve equation 1 for the variable x
13x = 91
x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Hence, (x , y) = (7 , -5)
Ann's car can go 288 miles on 8 gallons of gas. During a drive last weekend, ann used 5 gallons of gas. How far did she drive?
Answers
Answer:
180 miles
Step-by-step explanation:
Ann's car can go 288 miles on 8 gallonsBase rate
= No. of miles / No. of gallons= 288 / 8⇒ 36 miles per gallon [Important to rememeber!]5 gallons
Distance for 5 gallons = base rate x 5Distance = 36 x 5Distance = 180 milesAnswer:
180
Step-by-step explanation:
288:8=36 means with 1 gallon can drive 36 km
5 gallon used last week so 5*36 =180 km
Which number rounds to 5,600 when its rounded to the nearest hundred?
Answers
Answer:
number is either 5600 or 5550 or 5560 or 5570 or 5580 or 5590
Step-by-step explanation:
Do mark BRAINLIEST
HELP PLEASE! A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answers
Answer:
44 campers chose basketball
Please I need help
Will give brainlest answer !!!!!!
Answers
Answer:
See below ↓
Step-by-step explanation:
We need to check the different time intervals to find the max. height
t = 0 or 1 [both give same result]f(1) = -16(1) + 16(1) + 12 = 12 feet2. t = 2
f(2) = -16(2)² + 16(2) + 12 = -20 feet⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet
⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]
Taking f(x) = 0 [surface of water → just touching/hit the water]
0 = -16x² + 16x + 124x² - 4x - 3 = 04x² - 6x + 2x - 3 = 02x(2x - 3) + 1(2x - 3) = 0(2x + 1)(2x - 3) = 0x is positivex = 3/2 = 1.5 seconds⇒ After 1 second, she is 12 feet above the water
⇒ The diving board is 12 feet above the water
4 qt =
С
Show me the steps please
Answers
Answer:
cups =15.99994. according to the holy bible.
Step-by-step explanation:
I just need help with Part C
Answers
the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.
well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].
What are the step to solving
3(5x - 2 = 3x + 8 - 2x
Answers
this should be the answer
Use the diagram below for Questions 1 and 2. It would be helpful to draw and label the diagram in your journal. Labeling the angle and arc measures will make the problems easier.
A local TV news station has their cameras positioned at Points A, X, and B for their newscasts.
Answers
Answer: 110 degrees
Step-by-step explanation:
A local TV news station has its cameras positioned at Points A, X, and B for their newscasts.
So the m<1 = 110°
Is the measure of arc and angle the same?
An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the center. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
Please check the attached file for an explanation.
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Determine whether or not the equation below is balanced. If it isn’t balanced, write the balanced form. Also, identify the reactant(s) and product(s) in this equation. Finally, label this as one of the five types of reactions: combination, decomposition, substitution, double replacement, or reversible.
Zn+ HCl → ZnCl2 + H2
Answers
Answer:
1. The equation isn't balanced because there aren't equal numbers of hydrogen or chlorine atoms on both sides of the equation. To correct this, a coefficient of 2 must be placed in front of HCl on the left-hand side of the equation.
Zn+2HCl→ZnCl2+H2
Zn and 2HCl are the reactants; ZnCl2 and H2 are the products. This is a substitution reaction because a free element (Zn) replaces another element (H) in a compound.
2. This is a balanced equation because the same types of atoms and the same numbers of each atom are present on both sides of the equation. 8 S atoms are found on both sides of the equation, and 48 F atoms are found on both sides of the equation. S8 and 24F2 are the reactants; 8SF6 is the product. This is a combination reaction because two substances (S8 and 24F2) undergo a chemical union to form a more complex substance (8SF6).
S8+24F2→8SF6
3. In ferric oxide (Fe3O4), there are 3 atoms of iron (Fe) and 4 atoms of oxygen (O). From the Periodic Table of Elements, we know that the atomic mass of iron is 55.8457 and the atomic mass of oxygen is 15.9994.
Fe3 = 55.8457 × 3 = 167.5371
O4 = 15.9994 × 4 = 63.9976
167.5371 + 63.9976 = 231.5347 (231.535 rounded)
Therefore, the molecular mass of ferric oxide is 231.535.
4. The percentage composition of chlorine in CaCl2 is derived as follows:
The molecular mass of the entire compound is:
Ca = 40.078 × 1 = 40.078
Cl2 = 35.4527 × 2 = 70.9054
40.078 + 70.9054 = 110.9834 (110.983 rounded)
The atomic mass of each element (or its multiple) is divided by the molecular mass of the compound:
Ca = 40.078 ÷ 110.983 = 0.361
Cl2 = 70.9054 ÷ 110.983 = 0.639
Multiplying each by 100 will turn these into percents. Therefore, the percentage composition of chlorine is 63.9%.
5. i. a, c, f, h
ii. e
iii. b, d, g, i
iv. i
Step-by-step explanation:
PENN FOSTER
The given chemical equation represents a type of reaction known as a single replacement (or displacement) reaction. In this reaction, zinc (Zn) displaces hydrogen (H) from hydrochloric acid (HCl) to form zinc chloride ([tex]ZnCl_2[/tex]) and hydrogen gas ([tex]H_2[/tex]).
The given chemical equation is:
[tex]Zn + HCl \rightarrow ZnCl_2 + H_2[/tex]
To determine if the equation is balanced, we need to check if the number of atoms of each element is the same on both sides of the equation.
On the left side (reactant side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 1
Chlorine (Cl) atoms: 1
On the right side (product side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 2 (from[tex]ZnCl_2 + H_2[/tex])
Chlorine (Cl) atoms: 2 (from [tex]ZnCl_2[/tex])
The number of hydrogen (H) and chlorine (Cl) atoms is not balanced between the reactants and products. To balance the equation, we need to have the same number of atoms on both sides.
Balanced equation:
[tex]Zn + 2HCl → ZnCl_2 + H_2[/tex]
Now, the equation is balanced with the following number of atoms on both sides:
On the left side (reactant side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 2
Chlorine (Cl) atoms: 2 (2 from HCl)
On the right side (product side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 2 (from H2)
Chlorine (Cl) atoms: 2 (from ZnCl2)
Identification of reactants and products:
Reactants: Zn (zinc) and HCl (hydrochloric acid)
Products: [tex]ZnCl_2[/tex] (zinc chloride) and [tex]H_2[/tex] (hydrogen gas)
To know more about equation:
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write an equation for a circle that has a center at (-6,5) and passes through the point (-11,3)
Answers
Answer:
Your equation would be:
(x + 6)² + (y - 5)² = 29
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Pls help me solve this
Answers
You need to add together the 4 numbers in the chart 10+15+17+13=55 then you do 10/55=0.1818... then times by 165 and do this for the other numbers as well.
Identify C on the following diagram
Answers
Answer: X-axis
Step-by-step explanation: The arrow is pointing to the horizontal line on the on the graph. That horizontal line is the x-axis.
Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.
Answers
1. a) Solve the following quadratic-quadratic system of equations graphically.
y– 3x² +12x = 16
y + 4x²– 16x = -12
b.) GRAPH
c.) verify your solution (s) algebraically.
Answers
Answer:
see explanation
Step-by-step explanation:
look at the photo
Express in the form n : 1. Give n as a fully simplified fraction. 10 : 12
Answers
Answer:
[tex]\frac{5}{6}:1[/tex]
Step-by-step explanation:
[tex]10:12[/tex] divide both sides of this ratio by 12 to give a ratio in the form [tex]n:1[/tex]
[tex]\frac{10}{12}:1[/tex] which simplifies to [tex]\frac{5}{6}:1[/tex]
Reflect (-5,-3) over the -axis.
Then translate the result down 2 units.
What are the coordinates of the final point?
Answers
Answer:
(-5,-1)
Step-by-step explanation:
A tree is broken at a height of 5 m from the ground and its top touches the ground at a
distance of 12 m from the base of the tree. Find the original height of the tree.
Answers:
Answers
Answer:
AB = 18 m . Thus, the original height of the tree = 18 m.
Step-by-step explanation:
Johan can get lunch at Joe’s Deli for $12, and he can get lunch at Majestic for $8. In one month, Johan spent $96 on lunches (and he only went to those two places, and he always got the same thing). Which equation represents possible combinations of how many lunches Johan bought at Joe’s and Majestic?
A)y=4x+96
B)12x+8y=20
C)y-8=96(x-12)
D)12x+8y=96
Answers
Answer: D
Step-by-step explanation:
It’s really obvious just circle D
The school band sells carnations on Valentine's Day for $3 each. It buys the carnations from a florist for $0.50 each, plus a $15 delivery charge. When will the cost of the carnations be equal to the revenue from selling them? How many carnations does it need to sell to reach this point?
The cost of the carnations will be equal to the revenue when it has sold
_______ carnations. It will reach this point after it sells ______carnations.
Answers
Answer:
6 carnations
Step-by-step explanation:
0.5x +15 = 3x
x = 6
I need help making a proof for geometry! Here is the question I really need help on this question my marking period ends soon!
There are 2 parts I have to make a proof and then I also have to find the measures of AB and AC!
Answers
Answer:
Step-by-step explanation:
This one is hard! try your best please.
A box contains 9 identical glass spheres that are used to make snow globes. The spheres are tightly packed, as shown below.
Answers
Answer:
1. 301.6 [tex]in^{3}[/tex]
2. 576 [tex]in^{3}[/tex]
3. 274.41 [tex]in^{3}[/tex]
Step-by-step explanation:
We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and [tex]\frac{12}{3} =4[/tex]. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.
Then, you can find the volume of the box, because you know its dimentions are 12x12x4.
Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)
Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43. 5 units2. The calculated areas are.
Answers
The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.
What is the area of a regular polygon?The area of the polygon is the product of half of the apothem of the triangle and perimeter.
The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]
The side of the triangle is 10 units.
Apothem of an equilateral triangle
[tex]s = \frac{\sqrt{3} a}{6}[/tex]
s= [tex]\sqrt{3} \times 10/6[/tex]
s = 2.88
Here, a is the side of the triangle.
Thus the apothem of the triangle is 2.9 units.
The perimeter of the equilateral triangle is equal to the three times the sides.
Perimeter of the equilateral triangle ,
P = 3(10)
P = 30
Therefore, the perimeter of the equilateral triangle is 30 units.
The area of the equilateral triangle-
The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]
A = [tex]1/2 \times 2.9 \times 30[/tex]
A = 43.5
Thus the area of the equilateral triangle is 43.5 squared units.
Therefore, The calculated areas of both are the same instead of using the different formulas.
Learn more about the apothem;
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Answer:
(A) 2.9
(C)30
(A)1/2(2.9)(30)
(D)The same despite using different formulas
Step-by-step explanation:
I did it
yo how you people doing what's -25 - 57 + 35 ?????
Answers
Answer:
-47
Step-by-step explanation:
you don't you use the calcaulator
The answer is -47
531x22 long mutipulcation
Answers
Answer:
11,682 the answer is that hope you get a A!
531
×22
+1062
+1062
=11682
Therefore:
531 × 22 = 11,682
Make a number line and mark all the points that represent the following values of x. X≤2 or x<5
Answers
The inequalities x≤2 or x<5 are unequal expressions
The common points of both inequalities are {.......0,1,2}
What are inequalities?Inequalities are expressions that have unequal values
What are number lines?Number lines are lines that are used to represent numbers and expressions at regular intervals
How to determine the number line?The inequalities are given as;
x≤2 or x<5
This means that:
x is less than or equal to 2
And
x is less than 5
So, we have:
x≤2 = {.......0,1,2}
x<5 = {.......0,1,2,3,4}
The common points of both inequalities are:
x≤2 or x<5 = {.......0,1,2}
See attachment for the number line
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Find the x-intercept and y-intercept of the line.
=+6x3y−6
Answers
The x and y-intercepts are 3/7 and -3
Respectively.The slope is 7.
Find the area of the shaded polygon.
Answers
Answer:
A = 64 sq. unStep-by-step explanation:
This is a trapezium.
The formula od an area of a trapezium:
A = 1/2(a + b) · h
We have:
a = 10, b = 6, h = 8
substitute:
A = 1/2 · (10 + 6) · 8 = 1/2 · 16 · 8 = 8 · 8 = 64
Answer:
A = 64 sq. un
Step-by-step explanation:
6 * 8 + (4 * 8)/2 =
48 + 4 * 4 =
48 + 16 =
64
Figure #2 Volume =____ in^3
Answers
Answer:
480 in^3
Step-by-step explanation:
Multiplying the length of each of the sides together gives the volume, so [tex]12*4*10=480[/tex]
you must multiply each side together in order to find the volume