Using a calculator we can approximate this to be A ≈ 568.89 cm^2.
What is regular decagon?A regular decagon is a two-dimensional geometric shape with ten sides of equal length and ten interior angles of equal measure. It is a polygon, which is a two-dimensional shape made up of line segments (straight sides).
The approximate area of a regular decagon can be calculated using the formula A = (5/2) * a^2 * tan(π/5), where a is the length of each side. Since the radius of the decagon is 8 cm, the length of each side can be calculated using the formula a = 2r * sin(π/10) where r is the radius.
Plugging these values into the formula we get A = (5/2) * (2 * 8 * sin(π/10))^2 * tan(π/5) which simplifies to A = 320 * sin^2(π/10) * tan(π/5).
Using a calculator we can approximate this to be A ≈ 568.89 cm^2.
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ate 1 4 A chef is writing a shopping list for a dinner party. She needs 6 ounces of meat for each guest. If there are 40 guests, how many pounds of meat does she need to buy?
Answer:
1 guest is 6 ounces
40 guests is 240 ounces
240 ounces = 15 pounds of meat
plllllllsss help it's easy
Answer:
the answer is A.
Step-by-step explanation:
hope this helps!!!
Anyone know how to awnser this
The diagram represents two statements: p and q.
Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p
Answer:
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
Step-by-step explanation:
The figure is as follows :
Given - The diagram represents two statements: p and q.
To find - Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p
Solution -
From the figure, we can see that,
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
The truth table is as follows :
p q p ∧ q
T T T
T F F
F T F
F F F
i need this please help me
Answer:
Congruent, Supplementary, Neither
Step-by-step explanation:
in the same order
PLEASEEEE HELP ME OUT!
Solve the function. x³+ 2x² - 5x + 12 = 0
Answer:
x= -4
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!
What is the value of f(x) = –x2 + 3 when x = 1?
During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars. The expression that represents how much money Kate will collect is . Identify any variables, constants, and coefficients and explain what they mean in terms of the expression representing this scenario.
The expression that represents how much money Kate will collect
is y = 5x + 2x.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.
Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.
Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.
y = 7x.
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Simplify (write without absolute value sign): |x-3|, if x>5
Answer:
if x > 5 => x - 3 > 2 >0
=> x - 3 > 0
So |x - 3| = x - 3
can someone pls help me on this one
A grocer wishes to make 50 kilos of tea by mixing two grades of tea worth rs.16 and rs.18 per kilo respectively .if he wishes to sell the mixed tea at rs.16.80 per kilo ,how many kilos of each grade of tea should he mix?
Answer:
11.1 and 38.9
Step-by-step explanation:
16x + 18 (1-x) = 16.89
2x = 1.11
x = 0.222
0.222 x 50 = 11.1
50-11.1 = 38.9
What is the volume of a cylinder with radius 5 feet and height 6 feet?
Answer:
150π ft³
Step-by-step explanation:
Volume is ,
=> V = πr²h
=> V = π × (5 ft)² × (6 ft)
=> V = 25 × 6 × π ft³
=> V = 150π ft³
Help meeee with this questionnnnnnnnnn!!!!!!!!!!!!
Given:
The scale factor between two circles is [tex]\dfrac{2x}{5y}[/tex].
To find:
The ratio of their areas.
Solution:
We know that, all circles are similar.
The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.
The scale factor is the ratio of the corresponding sides.
Ratio of areas of circles = Square of scale factor between two circles
[tex]\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2[/tex]
[tex]\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}[/tex]
[tex]\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}[/tex]
Therefore, the correct option is D.
Two numbers are such that twice the greater number exceeds thrice the smaller one by 15 and 1/5 of the smaller and 1/9 of the greater number are together 10. Find the numbers.
Answer: The two numbers are $x = 5$ and $y = 7.5$.
Step-by-step explanation:
Let the two numbers be $x$ and $y$, where $x < y$. We can write the two given statements as the following two equations:
$$2y = 3x + 15$$
$$\frac{1}{5}x + \frac{1}{9}y = 10$$
We can solve this system of equations using elimination. Multiplying the first equation by 5 and the second equation by 9, we get
$$10y = 15x + 75$$
$$9x + y = 90$$
Subtracting these equations, we get
$$8y - 9x = 15$$
Multiplying this equation by 8, we get
$$64y - 72x = 120$$
Adding this equation to 5 times the first equation, we get
$$69y - 72x = 120 + 75$$
$$69y - 72x = 195$$
Dividing both sides by 3, we get
$$23y - 24x = 65$$
Subtracting this equation from 4 times the second equation, we get
$$96y - 36x = 360 - 260$$
$$96y - 36x = 100$$
Dividing both sides by 60, we get
$$\frac{16}{3}y - \frac{6}{5}x = \frac{5}{3}$$
Substituting the expression for $y$ from the first equation, we get
$$\frac{16}{3}(3x + 15) - \frac{6}{5}x = \frac{5}{3}$$
This simplifies to
$$\frac{16}{5}x + \frac{64}{5} = \frac{5}{3}$$
Solving for $x$, we find that $x = 5$. Substituting this value into the first equation, we find that $y = 15/2 = 7.5$. Therefore, the two numbers are $x = 5$ and $y = 7.5$.
two copies of one tenth
Answer:
0.2 or 1/5 or one fifth----------------------------------------
Two copies of one tenth translates as:
2*1/10 = 2*0.1 = 0.2 or 1/5Answer:
Two copies of 1/10 = 1/5
Step-by-step explanation:
Given statement,
→ two copies of one tenth.
Forming the expression,
→ 2 × (1/10)
Let's simplify the expression,
→ 2 × (1/10)
→ (2 × 1)/10
→ 2/10
→ 1/5
Hence, the answer is 1/5.
A bottle holds 2 pints. A cartoon holds 3 cups. What is the total the two containers hold in fluid ounces.
Step-by-step explanation:
3x8 is your answer
hopes this helps ^^
A linear equations in two variables has infinitely many solutions true or false
Answer:
the answer is false because Every system of linear equations has exactly one solution, no solution or infinite number of solutions
Can somebody help me? I need help please
By using concept of angle relationship, we get x equal to 27°.
What are angle relationships defined as?We compare the position, measurement, and congruence of two or more angles when we talk about angle relationships. For instance, two pairs of vertical angles are created when two lines or line segments intersect.
∠BAF+∠EAF=180°
∠EAF=180° - 138°
∠EAF=42°
Since, ∠EAF and ∠BAC are vertically opposite angle,
Hence,
∠EAF = ∠BAC =42°
Again,
∠EAD+∠DAC+BAC=180°
4x+30°+42°=180°
4x=180°-72°
4x=108°
x=27
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54% of 59.7 is what?
Answer:
Step-by-step explanation:
15.9 beacuse yeah thats it
please solution and answer a and b thanks you
Answer:
A) 2280 and length is 12mm and width is 190mm
B) 190, 12
Step-by-step explanation:
Area of 1 cylinder: 456
456*5= 2280
38*5=190
diameter:190mm
height:12mm
190*12= 2280
Help asap 6th grade math
Answer:
its c
Step-by-step explanation:
Simplify x+2+3x++5+x+3+2x
Answer: 7x+10
Step-by-step explanation:
combine like terms
x+3x+x+2x+2+5+3
7x+10
Answer:
Step-by-step explanation:
Simplification of : x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10
First: find the (x) and collect them, put them in the bracket (to ensure the + or -)
(x + 3x + x + 2x) + 2 + 5 + 3
= 7x + 2 + 5 + 3
Then we add up the numbers
= 7x + 10
This is the end result.
x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10
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Can someone give me the answer no links I’ll give brainliest
Answer:
[tex] 1,334.5 \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cylinder h = 17 cm
Radius of the cylinder r = 5 cm
[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]
Johnny ran a race in 15 seconds, Malik ran the race in 4,92 seconds less
then Johnny, How long did it take Malik to run the race?
Answer:
10.08 seconds
Step-by-step explanation:
15-4.92=10.08
Help ASAP PLSSS!! I’d really appreciate it! Thank youuu!
Translate the following: "Four times a number n is equal to the difference between that number and 10"
Answer:
4n=10-n
n=2
Step-by-step explanation:
add n to both sides
5n=10
divide both sides by 5
n=10/5
n=2
please help and thanks
Answer: Bottom left corner
Angle DEC and Angle DEH
=============================================================
Explanation:
I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.
Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.
A professor had students keep track of their social interactions for a week. The
number of social interactions over the week is shown in the following grouped
frequency distribution. What is the class width?
Number of Social
Interactions
35-42
43-50
51-58
59-66
67-74
75-82
83-90
91-98
99-106
107-114
Frequencies
5
15
15
20
12
10
8
6
1
2
Answer:
7
Step-by-step explanation:
Given the class interval :
Number of Social
Interactions
35-42
43-50
51-58
59-66
67-74
75-82
83-90
91-98
99-106
107-114
The class width = 7
The class width is the range between each class intervals :
42 - 35 = 4
114 - 107 = 7
106 - 99 = 7
The class width of the given grouped
frequency distribution is; 7
We are given the class intervals as;
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
Now, the class width is defined as the difference between the upper boundary and the lower boundary of a class.
The class intervals seem to be the same all through and as such the class width is;
114 - 107 = 7
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Look at picture please help!!
2 Answers:
Choice B) angle R and angle UChoice D) angle K and angle L=====================================================
Explanation:
There are a lot of lines here, so it's easy to get a bit lost if you're not careful. I recommend starting with a blank piece of paper. On it, draw two lines that intersect any way you want. An "X" shape forms. The angles that are opposite one another (eg: top and bottom angles) are known as vertical angles, and they are always congruent.
Going back to your diagram, angle R and angle U fit the description of vertical angles. We used two lines to form these vertical angles. Despite the name, the angles do not have to be aligned vertically. Unfortunately it's a misnomer in my opinion. Angle R is opposite angle U, and both are formed by the two slanted lines that go in both directions. It might help to copy the diagram your teacher has given to you, and then erase the portions that seem extra (eg: erase the ray that helps form angle S, and also erase angle S as well) and it might help show why angle R is a vertical angle pair with angle U.
Similarly, angle K and angle L fit the description as well, so this is the second pair of vertical angles.
Something like "angle E and angle N" is not an answer because we used 3 lines to help form these angles, instead of two only. We can rule out "angle S and angle J" for similar reasons.
As for when you see vertical angles in everyday life, it depends on what the context is. For example, if you're drawing out a floorplan, then knowing the angles may be very handy. You could use a protractor to measure the angles, or you could use geometric properties such as the vertical angle theorem to quickly determine the angle values (if you know some angles already).