The answer choice which represents the what is needed to construct a hexagon is Choice B; Six isosceles triangles.
What is needed to construct a hexagon?
By definition, an hexagon is a closed figure with six equal sides and six congruent interior angles.
On this note, upon assembly of six isosceles triangle s in which cases, the excluded side of the isosceles triangles form the sides of the hexagon and the congruent sides represents lines joining each vertex to the center of the hexagon, an hexagon is formed.
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Answer:
The correct answer is six equilateral triangles.
Step-by-step explanation:
The angle at the center of the hexagon is 360°, which is being divided into 6 equal parts. The value of each angle at the center is equal to 60°. All three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles.
how to apply Trigonometry in cricket?
Answer:
as we know that in cricket there is use of tan while doing bating
0.345 recurring as a fraction please - the 3 and 5 are recurring
Answer:
The decimal 0.345 expressed as a fraction is 69200 .
11. rewrite the function in the form y=a (1+r)*
or y=a (1-r) ² then state the growth or decay
rate. y = a (6) t/a
Please help!!
Problem 10
The two functions are inverses of each other. Why? Because we can think of f(x) = (x-7)/(-2) as y = (x-7)/(-2).
Swap x and y to get x = (y-7)/(-2). Solving for y leads to y = -2x+7 showing that g(x) = -2x+7 is the inverse of f(x) = (x-7)/(-2). This process can be done in reverse to get the same result.
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Problem 11
y = a(6)^(t/2)
y = a( 6^(1/2) )^t
y = a(2.4494897)^t
y = a( b )^t
where b = 6^(1/2) = 2.4494897 approximately
Set b equal to 1+r and solve for r
1+r = 2.4494897
r = 2.4494897-1
r = 1.4494897
This rounds to about r = 1.45
The r value is the decimal form of the percentage, which means we move the decimal point over two spots to the right to get 145% approximately
Answers:
The equation is roughly y = a(1 + 1.4494897)^t
The growth rate is approximately 145%
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Problem 12
You have the correct answer. Nice work.
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Problem 13
You are very close to the correct answer. However, you're missing the base of the log.
The answer should be [tex]\log_{49}(343) = \frac{3}{2}[/tex]. So you'll need to write in a small "49" under the log.
The general rule is that exponential equations in the form [tex]b^x = y[/tex] are equivalent to the log version of [tex]\log_{b}(y) = x[/tex]. For each equation, b is the base. The idea of logs is to isolate the exponent.
The ratio of players to soccer balls at practice sessions is 5:2. How many soccer balls are needed for 20 players?
Answer:
8 soccer balls
Step-by-step explanation:
Since the ratio of players to soccer balls is 5:2, we can conclude that:
Players = 5 peopleSoccer balls = 2 ballsThe question asks to find how many soccer balls are needed for 20 players.
Multiply both players and soccer balls by 4, this will get:
Players = 20 peopleSoccer balls = 8 ballsHenceforth, 8 soccer balls are needed for 20 players.
Which logarithmic equation is equivalent to this exponential equation?
Step-by-step explanation:
i think b is right answer
Answer:
see photo for detailed analysis
una cuerda al vibrar tiene una frecuencia fundamental de 200 Hz. Si su longitud se reduce en una cuarta parte, ¿cual será la nueva frecuencia fundamental? ¿se ha alterado la rapidez de la onda al acortar la cuerda? Suponga que la tensión es constante
I thank the answer is B
Step-by-step explanation:
10
Jack is reading a book. In ¾ of an hour, he finished 66 pages. If he keeps reading at the same rate, how many total pages will Jack read in one hour?
The members of a golf team contributed a total of $14.30 for a party to be held after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers. I NEED FULL ANSWER!!!!!!!!!!!!!!!!!!
Answer:
each teammate contributed 1.43 sorry but i do not know how many members they have because my head hurts
Three teachers shared 4/5 of a flat paper that was donated to the school. what fraction of the flat paper did each teacher receive
find the area of the shaded shape
Answer:
69 meters squared
Step-by-step explanation:
You can split the shape into two small rectangles by drawing a vertical line. Then, you can solve for the areas of the two rectangles separately and then add them together.
The larger rectangle would have an area of 5 * 12, or 60 m^2.
The smaller rectangle would have an area of 3 * 3, or 9 m^2.
Simply add those together and the total area would be 69 m^2.
Answer:
Area is 69 m
Step-by-step explanation:
5 14/15 on a number line rounded to the nearest whole number or half.
PLEASE HELP ME!!!!! I NEED HELP
Answer:
Step-by-step explanation:
Here we will show you step-by-step how to get the solution to: "What is 5/14 rounded to the nearest whole number?"
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
5 / 14 = 0.3
Then, we round to the nearest whole number using the following rules:
If the number to the right of the decimal point is .5 or higher, then add 1 to the left of the decimal point.
If the number to the right of the decimal point is less than .5, then leave the number to the left of the decimal point as is and remove the digit to the right of the decimal point.
.4 is less than .5. Thus, we leave the number to the left of the decimal point as is and remove the digit to the right of the decimal point.
5/14 rounded to the nearest whole number is therefore:
0
Insert two pairs of brackets to make this statement true:
-3+-2x5divided by-4+-1=5
Answer:
-3 + -2x5 / -4 + -1 = 5
(-3 + -2)* 5/ (-4-1) = 5.
8. Complete the table below by drawing an example of each shape.
Answer:
Please see attachment.
The first one is a quadrilateral that is not a parallelogram.
The second one is a triangle with a right angle.
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
\frac { 6 ^ { n + 2 } - 6 ^ { n } } { 6 ^ { n + 1 } + 6 ^ { n } }
Solve this ...
this is the question of laws of indices(exponent)
Answer:
5
Step-by-step explanation:
Given expression:
[tex]\dfrac{6^{n+2}-6^n}{6^{n+1}+6^n}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c[/tex]
[tex]\implies \dfrac{6^n6^2-6^n}{6^n6^1+6^n}[/tex]
Factor:
[tex]\implies \dfrac{6^n(6^2-1)}{6^n(6^1+1)}[/tex]
Cancel [tex]6^n[/tex] :
[tex]\implies \dfrac{(6^2-1)}{(6^1+1)}[/tex]
Simplify:
[tex]\implies \dfrac{36-1}{6+1}[/tex]
[tex]\implies \dfrac{35}{7}[/tex]
[tex]\implies 5[/tex]
The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the lengths of the diagonals.
Which are equivalent equations? Select two correct answers.
The two equivalent equations are d₁= 2a/d₂ and d₂= 2a/d₁ , Option 2 and 5 is the right answer.
What is a Rhombus ?Rhombus is a quadrilateral with all the sides equal to each other.
It is given that d₁ and d₂ are the lengths of the diagonals.
and Area = a
a = (1/2) d₁ * d₂
2a = d₁ * d₂d₁ * d₂ = 2a
It can be written as
d₁= 2a/d₂
a = (1/2) d₁ * d₂
d₁ * d₂ = 2ad₂= 2a/d₁
Therefore Option 2 and 5 are the correct answer.
The options of this question are:
1. d₁=2Ad₂
2. d₁= 2A/d₂
3. d₂= d₁/2A
4. d₁= 2A/d₂
5. d₂= 2A/d₁
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Which of the following problem types can always be solved using the law of
cosines or sines? Check all that apply.
A. SSS
B. ASA
C. SAA
D. SAS
E. SSA
F. AAA
Answer:
A, C, D, E, F
Which piece of additional information can be used to prove that △rst ~ △vut? rt = st 3st = ut ∠r ≅ ∠v ∠v ≅ ∠u
The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have given two triangles:
Triangle RST and Triangle VUT
AS we can see Line segment RS and UV are parallel.
Which is crossed by a transversal RV.
The angle SRV = Angle RVU
Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
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Answer:
c
Step-by-step explanation:
Which is equivalent to 80 1/4?
Answer:
B.[tex] \sqrt[4]{ {80}^{x} } [/tex]
Step-by-step explanation:
Hope it helps
Get a similar question You can retry this question below
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 35 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Find the Largest angle:
Sum of triangle angles = 180
smallest angle = x
second angle = 3x
third angle = x +35
180 = x + 3x + x + 35
145 = 5x
x = 29 is the smallest
the second is 87
the third is 64
The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.Based on the graph, what is the approximate number of bacteria after 16 hours? 6 bacteria 8 bacteria 60 bacteria 80 bacteria
The approximate number of bacteria after 16 hours is 60 bacteria ,Option C is the right answer.
What is a Function ?A function is a Mathematical statement which connects a dependent variable and an independent variable.
The graph shows the the growth rate of a certain bacteria in a lab
the number of bacteria is on the y axis and
the number of hours is on the x axis
The function is continuous ,
From the graph the approximate number of bacteria after 16 hours is
60 bacteria
Therefore Option C is the right answer.
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Use triangles ABC and RST to answers the following questions. Is triangle ABC a right triangle? Explain your answer.
Answer:
[tex]\rightarrow \fbox {Yes} \leftarrow[/tex]
Step-by-step explanation:
ΔABC is a right triangle as it possesses a right angle (90°).
Triangle ABC is a right angled triangle since it holds Pythagoras theorem.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
For a right angled, triangle, there is a theorem called Pythagoras Theorem which relates the three sides of the triangle.
Pythagoras theorem states that,
Hypotenuse² = Base² + Altitude²
Here AC is the hypotenuse, BC is the base and AB is the altitude.
Base² + Altitude² = (BC)² + (AB)²
= 5² + 12²
= 25 + 144
= 169
= 13²
= AC²
= Hypotenuse²
Pythagoras theorem holds for the given triangle.
Hence the given triangle ABC is a right angled triangle.
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Which of the following is not an example of unit rate?
3 dollars per toy
4 dollars per toy
1 toy per 5 dollars
6 dollars per toy
The unit rate is the rate for one of something (Taken from HMHCO).
For instance, you could say that Bob can make 6 gift cards in 3 hours. The unit rate would be 2 gift cards per hour. We solved for this by dividing both values by 3.
Solving the Question3 dollars per toy
This is a unit rate. Why? Because it gives us the rate, 3 dollars, and it is for one of something, which this case would be toys.
1 toy per 5 dollars
This is not a unit rate. Why? We still get the rate, 1 toy, but this time it isn't for one of something, which in this case is dollars. It is a rate for 5 dollars, not 1 dollar.
Answer1 toy per 5 dollars
Really could use help here.
Answer:
[tex]\mathsf {y =\frac{15}{7}x }[/tex] < [tex]\mathsf {y=\frac{13}{6}x }[/tex] < [tex]\mathsf {y=\frac{11}{5}x }[/tex] < [tex]\mathsf {y=\frac{21}{9}x }[/tex] < [tex]\mathsf {y= \frac{19}{8}x}[/tex]
Step-by-step explanation:
Finding the unit rate of the graph :
Take 2 points and find the slope⇒ (0,0) and (12, 25)⇒ m = 25 - 0 / 12 - 0⇒ m = 25/12The equation is : y = 25/12xNow, the equations with greater unit rates (in increasing order) are :
[tex]\mathsf {y =\frac{15}{7}x }[/tex] < [tex]\mathsf {y=\frac{13}{6}x }[/tex] < [tex]\mathsf {y=\frac{11}{5}x }[/tex] < [tex]\mathsf {y=\frac{21}{9}x }[/tex] < [tex]\mathsf {y= \frac{19}{8}x}[/tex]Please help me with this thanks!!
Answer:
x° = 47°
Step-by-step explanation:
The sum of the measurements of three interior Angles in a triangle is 180°.This is known as angle sum property.Same case is here.
78°,55° and x° are interior angles here.
So,
[tex] 78{}^{ \circ} + 55 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex]Solving for x°,
[tex]133 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex][tex]x {}^{ \circ} = 180 {}^{ \circ} - 133 {}^{ \circ} [/tex][tex]x {}^{ \circ} = \boxed{47 {}^{ \circ} }[/tex]Hence,the value of x° is 47°.
find the missing value. 2 + blank = -13
Answer:
-15
Step-by-step explanation:
-13-2= -15
(to check:2+ -15= -13)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2 + [blank] = -13}[/tex]
[tex]\large\textbf{CONVERT TO: }[/tex]
[tex]\mathsf{2 + b = -13}[/tex]
[tex]\mathsf{b + 2 = -13}[/tex]
[tex]\large\textbf{SUBTRACT 2 to BOTH SIDES: }[/tex]
[tex]\mathsf{b + 2 - 2 = -13 - 2}[/tex]
[tex]\large\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{b = -13 - 2}[/tex]
[tex]\mathsf{b = -15}[/tex]
[tex]\huge\text{Therefore, the mystery number is: \boxed{\mathsf{-15}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Write an equation for the n
term of each geometric
nth
sequence.
1, 4, 16, ...
If 4y = 3x - 1, then x = ?
Answer:
[tex]x = \frac{4y + 1}{3} [/tex]
The goal is to isolate the X value. So the first step would be to add 1 to both sides, making the equation 4y + 1 = 3x.
Then you divide both sides by 3, making the equation (4y + 1)/3 = x
If you have a Y value then you'd plug it in for Y and solve for x but since there isn't one provided you're done.
Find the sum.
-110 + (-102) + (-94) + ... + 66 + 74
Answer:
Step-by-step explanation:
a=-110
d=-102-(-110)=-102+110=8
let n be the number of terms.
74=-110+(n-1)×8
74=-110+8n-8
74+118=8n
192=8n
n=192/8=24
[tex]s=\frac{n}{2} [2a+(n-1)d]\\s=\frac{24}{2} [2(-110)+(24-1)\times8]\\=12[-220+184]\\=12(-36)\\=-432[/tex]
Emma is designing a playground for her neighborhood
park. Her drawing has a scale of 1 cm: 3 feet. The length
of her drawing is 15 cm. What will be the actual lenght of
the playground in feet?
Answer:
45 feet
Step-by-step explanation:
if 1 cm = 3 ft, we can scale up the drawing from there.
We are multiplying each cm by 3, and considering that length to be 3 feet.
If we had 2 cm, (multiply both by 3) we would have 6 feet.
So, if we had 15 cm, we also need to convert this scale length into actual length. We do this by multiplying
15 × 3 = 45
So, we know that the actual length of the playground in feet is 45 feet.
A stadium has a a central rectangular area 125m long by 80m wide.there are two semi circular ends.a running track goes all the way round. a) what is the total inside length of the curved ends of the track? b) what is the total distance round the inside of the track? c) what is the area inside of the track? (take pi=3.14, give answer to 1 decimal place).
a)The total inside length of the curved ends of the track will be 25.13 meters
b)The total distance around the inside of the track will be 275.13 meters
c)The area inside the track is 10050 square meters.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that:-
A stadium has a central rectangular area 125m long by 80m wide. there are two semi-circular ends. a running track goes all the way around.
a) what is the total inside length of the curved ends of the track?
The length of the curved track means it is a perimeter of the circle so the radius of the semicircle will be 4 meters.
So the length will be = π r + πr = 2 πr
= 2 x π x 4 = 25.13
b) what is the total distance around the inside of the track?
The total distance of the track will be the sum of the length of the two semicircles and the longer side of the rectangle.
Total length = 125 + 125 + 25.13
= 275.13 meters
c) what is the area inside of the track?
The area will be equal to the area of the two semicircular tracks and the rectangular track.
Total Area = Area of semicircle + Area of semicircle + Area of rectangle
= ( π/2 ) r² + (π/2) r² + ( L x W )
= π r² + ( L x W)
= π ( 4 )² + ( 125 x 8 )
= 10050.26 square meters.
Therefore the total inside length of the curved ends of the track will be 25.13 meters. The total distance around the inside of the track will be 275.13 meters. The area inside the track is 10050 square meters.
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