The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
What is the area of a heptagon?Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.
The area of the regular heptagon is found out using the following formula.
[tex]A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)[/tex]
Here, (a) is the length of the heptagon.
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,
[tex]A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2[/tex]
Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
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Answer: b
Step-by-step explanation:
root 3 + root 27 - 12 upon root 3 + 6 upon root 3
Answer:
2√3
Step-by-step explanation:
root 27
= √27
= 3√3
12 upon root 3
= 12 / √3
= ( 12 / √3 ) x ( √3 / √3 )
= ( 12 x √3 ) / ( √3 x √3 )
= 12√3 / 3
= 4√3
6 upon √3
= 6 / √3
= ( 6 / √3 ) x ( √3 / √3 )
= ( 6 x √3 ) / ( √3 x √3 )
= 6√3 / 3
= 2√3
root 3 = √3
root 3 + root 27 - 12 upon root 3 + 6 upon root 3
= √3 + 3√3 - 4√3 + 2√3
= 4√3 - 4√3 + 2√3
= 2√3
Answer:
2√3
Step-by-step explanation:
Our equation :
[tex]\sqrt{3} + \sqrt{27} - \frac{12}{\sqrt{3} } + \frac{6}{\sqrt{3} }[/tex]Simplifying
[tex]\sqrt{3} + \sqrt{9 *3} - \frac{12\sqrt{3} }{\sqrt{3}*\sqrt{3} } + \frac{6\sqrt{3} }{\sqrt{3}*\sqrt{3} }[/tex][tex]\sqrt{3}+3\sqrt{3} - \frac{12\sqrt{3} }{3}+\frac{6\sqrt{3} }{3}[/tex][tex]4\sqrt{3}-4\sqrt{3}+2\sqrt{3}[/tex]2√3Which equation represents the graph below?
Answer:
y = cos(2x)
Step-by-step explanation:
This is equation must be a cosine function because it starts at a nonzero number. We can conclude that the final answer is D because the amplitude is 1 not 2. Also, the period (2π/k) is equal to 2π/π = 2.
See the image below for the different parts of a cosine/sine function.
I hope this helps!
Dan and Paul went shopping at a department store
Dan spent $4 more than Paul spent
Dan spent $24 at the store
Which equation could be used to calculate p, the amount Paul spent?
A. P-4=24
B. 4p=24
C. 4+24=p
D. 4+p=24
Answer:
D 4+p=24
Step-by-step explanation:
So P stands for Paul & how much he spent.
Dan spent $24 at the store & he spent $4 more than Paul, so Paul only spent $20. So P = $20
So which equation would work if you substituted $20 for P?
4 + P = 24
4 + 20 = 24
6 blue chips 13 pink chips 7 white chips Vicky takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Vicky takes out a blue chip in both draws? PLEASE HELLPP
Answer:
9/169Step-by-step explanation:
Total number of chips
6 + 13 + 7 = 26Probability of a blue chip
P(blue) = blue / total = 6 / 26 = 3/13The subsequent blue has same probability as the chip is replaced.
Probability of two blue chips is
P(blue, blue) = 3/13*3/13 = 9/169Answer:
[tex]\sf \dfrac{9}{169}[/tex]
Step-by-step explanation:
The bag has:
6 blue chips13 pink chips7 white chips⇒ Total number of chips = 6 + 13 + 7 = 26
Probability Formula
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Probability of choosing a blue chip from the first draw:
[tex]\implies \sf P(Blue)=\dfrac{6}{26}[/tex]
As the chips are replaced, the probability of choosing a blue chip from the second draw is the same as the first.
Therefore, the probability of taking out a blue chip in both draws is:
[tex]\begin{aligned}\implies \sf P(Blue)\:and\:P(Blue) & = \sf \dfrac{6}{26} \times \dfrac{6}{26}\\\\& = \sf \dfrac{6 \times 6}{\26 \times 26}\\\\& = \sf \dfrac{36}{676}\\\\& = \sf \dfrac{36 \div 4}{676 \div 4}\\\\& = \sf \dfrac{9}{169}\end{aligned}[/tex]
What is The D angle?
For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used
Neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used
Solving trianngles using the laws of sines & cosinesThe law of sines is written as
[tex]\frac{sinA}{a}=\frac{sinB}{b}= \frac{sinC}{c}[/tex]
Where a,b, and c are sides of any given triangle and A,B, and C are the angles.
This law is used when we are given either
Two angles and one side, orTwo sides and a non-included angleThe law of cosines is written as
a² = b² + c² -2bc cosA, or
b² = a² + c² - 2ac cosB, or
c² = a² + b² -2ab cosC
Where a,b, and c are sides of any given triangle and A,B, and C are the angles.
This law is used when we are given either
Three sides orTwo sides and the included angleNow, for triangle xyz, which the measures of angles X,Y, and Z are known, neither law can be used to solve the triangle.
Hence, neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used
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Jacobey needs 32/3cups of milk to make one cheesecake. He is baking 4 cheesecakes for
the school bake sale. How many cups of milk does he need for the cheesecakes?
Answer: 14⅔
Step-by-step explanation: If he needs 3⅔ cups to make 1 cheese cake then he will need 11/3 ×4 cups to make 4 cakes
44/3 =14⅔
(Let me know if you mean 32/3 cups or 3⅔cups )
What is the length of the dotted line? round to the nearest hundredth. 2.50 in. 3.75 in. 5.00 in. 6.25 in.
The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.
What is a hexagon?The hexagon is a two-dimensional geometry with six sides. And the polygon's sides are all straight lines that are joined side by side.
The perimeter of the hexagon is 7.5 inches.
Then the length of the hexagon will be
[tex]\rm 7.5 = 6x\\\\x \ \ = 1.25[/tex]
The length of the hexagon is 1.25 inches.
Then the diagonal length of the hexagon will be
y = 2 × 1.25
y = 2.5
The diagonal length of the hexagon is 2.5 inches.
Then the length of the dotted line is 3.75 inches.
More about the hexagon link is given below.
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Which one is it? And what is the answer for x?? Please help ASAP!!
Answer:
see below
Step-by-step explanation:
sin 67 = opp/hyp = x/20
20 * sin 67 = x
Please help me!!
There were 36 campers at Yosemite Creek. They
had 10 large pepperoni pizzas to share equally.
How much pizza can each camper have?
A water tank is in the shape of a cylinder with a height of 21 feet and a diameter of 8 feet. What is the volume, in cubic feet, of the water tank?
Answer:
1,055.04
Step-By-Step explanation:
Volume equals pi times radius squared times the hight.
You first calculate what the radius will be by dividing the diameter by two and then you procede to multiply the radius to a power of two which is the equvialent as multiplying it to the base number and then you multiply the then squared radius to pi and lastly multiply it by the hight and you have your answer.
[tex]\pi * (8x^{2}) * 21 \\\pi * (4x^{2}) * 21\\\pi * 16 * 21\\50.24 *21\\=1,055.04[/tex]
How do you write 19/20 as a decimal
Answer:
0.95
Step-by-step explanation:
order the following number least to greatest /9, 0.9 , -8/9, /3, -1.8
0.9, /3, /9, -8/9, -1.8
Todd is 33 years old; his nephew Jacob is 12. In how many years will Jacob be ½ his uncle Todd's age?
Answer:
9 years
Step-by-step explanation:
Jacob will be half his uncle's age when his age is equal to the difference in their ages.
__
The difference is 33 -12 = 21 years. Jacob will be half Todd's age in 21 -12 = 9 years, when Jacob is 21 and Todd is 42.
Consider the right triangle shown.
What is the length of the other leg?
Round your answer to the nearest tenth
These are the three basic trigonometric ratios:
The sine ratio: [tex]\sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]The cosine ratio: [tex]\cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]The rangent ratio: [tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]Here, 'opposite' or adjacent are referring to the legs in relation to one of the interior angles of the triangle, θ.
We can use these ratios to help us solve for side lengths or angles, depending on what information is given to us and what information we must solve for.
Solving the QuestionWe're given:
The indicated angle (θ) measures 70° The adjacent side measures 5.7 unitsWe must solve for the other leg, which is the 'opposite' sideBecause this question involves the adjacent and the opposite, we can use the tangent ratio to find the answer.
[tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]
⇒ Plug in the given information:
[tex]\tan(70^\circ)=\dfrac{opposite}{5.7}[/tex]
⇒ Multiply both sides by 5.7 to isolate 'opposite:
[tex]5.7\tan(70^\circ)=opposite\\opposite = 15.66062\dots[/tex]
⇒ Round to the nearest tenth:
[tex]opposite=15.7[/tex]
AnswerThe length of the other leg is 15.7 units.
make u the subject of formula in the equation s=2(u+v)t
Answer
u = s/2t - v
Step-by-step explanation:
don't spam!! complete answe= Brainliest answer
Answer:
Step-by-step explanation:
Finding final velocity.
[tex]\boxed{v_{f}=v_{i} + at}\\\\v_{f} -- > final \ velocity\\\\v_{i} -- > Initial velocity[/tex]
a -> accelaration
t ---> time
[tex]v_{i} = 7 \ m/s[/tex]
a = 2 m/s²
t = 5 s
[tex]v_{f}= 7 + 2*5[/tex]
= 7 + 10
= 17 m/s
10) h = 5 m
g = -10m/s²
[tex]t =\sqrt{\dfrac{2*h}{g}}\\\\ =\sqrt{\dfrac{2*5}{10}}\\\\= \sqrt{\dfrac{10}{10}}\\\\= 1[/tex]
t = 1 sec
Starbucks Coffee Co. Uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that Starbucks needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. (Data extracted from L. Johnson and S. Burrows, "For Starbucks, Itâs in the Bag," Quality Progress, March 2011, pp. 17â23. ) One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the bag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. The results are stored in Starbucks.
a. Construct a scatter plot.
b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b0 and b1.
c. Interpret the meaning of the slope, b1, in this problem.
d. Predict the mean tear rating when the plate gap is equal to 0.
e. What should you tell management of Starbucks about the relationship between the plate gap and the tear rating?
When there's a linear relationship, the least-squares method to determine the regression coefficients b0 and b1 will be y = 0.750 + 0.50x.
How to interpret the slope?The meaning of the slope, b1, in this problem is the coefficient of x which is the slope. Here, b1 = 0.50. It implies that one unit change in x will be 0.5 unit change in y.
To predict the mean tear rating when the plate gap is equal to 0 goes thus:
y = 0.75 + (0.05 × 0)
y = 0.75 + 0
y = 0.75
Lastly, the relationship between the plate gap and the tear rating is a positive one.
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at which point do the two equations 3x+5=y+4x and y=x2 intersect? problem is the picture below, the choices are there.
Answer:
A. and D.
Step-by-step explanation:
Hey there!
In order to to find the point at which these two equations intersect at, you need to first rewrite the equations if needed so that they are in the form:
[tex]y=mx+b[/tex]
or
[tex]y=ax^2+bx+c[/tex]
The first equations needs to be rewritten
[tex]3x+5=y+4x[/tex]
make [tex]y[/tex] by itself
[tex]3x+5-4x=y[/tex]
Simplify LHS
[tex]y=-x+5[/tex]
Now we have it in slope-intercept form
Looking at the equation, we can tell that the slope of the line is [tex]-1[/tex] and the y-intercept is 5
Now you can graph this equation easily (image down below)
The second equation is already in form so there is no need to rewrite anything
We can go straight to graphing (image down below)
Now plot both equations on the same graph (image down below)
Someone please help me
Answer:
It's A.
Step-by-step explanation:
Because whatever goes into the absolute value symbol, it'll turn out positive. And real numbers could only be positive.
What is Foil Method give atleast one example
A foil method is a technique where two or more binomials multiply.
FirstOuterInnerLastExample 1[tex]\tt{(b + 3) (b + 7)}[/tex]
[tex]\tt{F: (b)(b) = b^2}[/tex]
[tex]\tt{O: (b)(7) = b7}[/tex]
[tex]\tt{I: (3)(b) = 3b}[/tex]
[tex]\tt{L:(3)(7) = 37}[/tex]
[tex] \tt{=b^2 +7b+3b+21}[/tex]
[tex]= \boxed{ \tt{b^2 +10b+2}}[/tex]
Example 2[tex]\tt{(x + 3)^2}[/tex]
[tex]\tt{F: (x)(x) = x^2}[/tex]
[tex]\tt{O: (x)(3) = x3}[/tex]
[tex]\tt{I: (3)(x) = 3x}[/tex]
[tex]\tt{L:(3)(3) = 9}[/tex]
[tex] \tt{=x^2 +3x+3x+9}[/tex]
[tex] = \boxed{ \tt{x^2 +6x+9}}[/tex]
Plant cells and animal cells were observed under a microscope. The characteristics of two cells are listed below.
Cell A: Has a cell wall
Cell B: Has chloroplast
Which statement about the two cells is correct?
Both cells are plant cells.
Both cells are animal cells.
Cell A is a plant cell and Cell B is an animal cell.
Cell A is an animal cell and Cell B is a plant cell.
Answer:
The answer is Cell A is a plant cell and Cell B is a plant cell because plant cells have cell walls and they also a chloroplast
Step-by-step explanation:
I really hope this helps
Answer: the first one
Step-by-step explanation: "Both cells are plant cells."
To find the area of a circle, take π x 2 x radius.
true or false
Answer:
That statement is true, but you do not always need the two.
Let's say that we had a problem, given the radius is 5, and we have to find the diameter.
First step is to define A
[tex]A = \pi r^2[/tex]
Second, redefine r as the actual radius to avoid confusion.
[tex]r = 5[/tex]
Third, set up an equation with the given values where you are multiplying pi by the radius.
[tex]\pi r^2 = \pi *r^2[/tex]
Fourth but not least, get the actual value.
[tex]\pi * r^2 = 79[/tex] rounded to nearest whole number
Drawing a ball from a bag without looking is an example of simple random sampling. Which of these actions could affect the FAIRNESS of the outcome of this simple random sample? A. Use a box instead of a bag. B. Use balls that aren’t all the same color. C. Use balls that are all of the same shape. D. Use balls that aren’t all the same size.
Statement (D) uses balls that aren’t all the same size will affect the fairness of the outcome of this simple random sample if drawing a ball from a bag without looking is an example of simple random sampling.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We have:
Drawing a ball from a bag without looking is an example of simple random sampling.
As we know the degree to which we believe the distributions of outcomes are fair is referred to as outcome fairness.
These outcomes can include things like pay, perks, promotions, and other physical things, but they can also include things like praise and other forms of social recognition.
Thus, statement (D) uses balls that aren’t all the same size will affect the fairness of the outcome of this simple random sample if drawing a ball from a bag without looking is an example of simple random sampling.
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#SPJ1
Answer:
D
Step-by-step explanation:
I took the quiz on EDGE 2022
The foot of an extension ladder is 15 feet from the wall. The ladder is 7 feet less than three times longer than the height that it reaches on the wall. What is the length of the ladder
Answer:
38
Step-by-step explanation:
15 x 3(or 15+15+15)=45
45-7=38
A survey participant is randomly selected. Let S be the event that the participant prefers soccer and let T be the event that the participant prefers a T-shirt. What is the value of P(S and T)
Answer:
C. 0.26
Step-by-step explanation:
What is the measure of one interior angle of a 26 gon?
[tex]\textit{sum of all interior angles in a polygon}\\\\ n\theta = 180(n~~ - ~~2) \begin{cases} n=\stackrel{\textit{number of}}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=26 \end{cases}\implies (26)\theta =180(26~~ - ~~2) \\\\\\ 26\theta =180(24)\implies 26\theta =4320\implies \theta =\cfrac{4320}{26}\implies \theta \approx 166.15^o[/tex]
What is 135% of 62?
A: 8. 37
B: 83. 7
C:837
D:8370
Stephen borrows $10,000 from his uncle at a simple interest rate of 2%. He repays the loan in full after 3 years. How much money did Stephen pay his uncle back in total?
The total amount of money that Stephen would pay his uncle is equal to $10,600.
How to calculate simple interest.Mathematically, simple interest is calculated by using this formula:
I = PRT
Where:
I is the simple interest.P is the principal.R is the interest rate.T is the time measured in years.Given the following data:
Interest rate = 2% = 0.02.
Principal = $10,000.
Time = 3 years.
Substituting the given parameters into the formula, we have;
I = 10000 × 0.02 × 3
I = $600.
Amount of balance;
A = I + P
A = 600 + 10,000
A = $10,600.
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HELP PLEASE ILL GIVE THE BRANLIEST THING IF U DO, PLEASEE
Answer:
The y-intercept is 5, and the slope is -3/2, y=5
Step-by-step explanation: