A regular pentagon has a perimeter of 60 cm.
A regular pentagon has a perimeter of 60 centimeters and center point B. Radii B A and B D are drawn to form triangle A B D. Apothem B C is drawn to split the triangle into 2 right triangles.
What is the measure of angle CBD?
°
What is the length of segment CD?
cm
Which trigonometric ratio can be used to compare BC to CD using angle CBD?
What is the approximate length of BC?
cm
What is the approximate length of BD?
cm
Answer:
36˚
6 cm
tangent
8.3 cm
10.2 cm
Step-by-step explanation:
The side lengths of the regular pentagons are congruent
What is the measure of angle CBD?A pentagon has 5 sides, and the central angle is 360°.
Calculate the measure of ABD using:
ABD = 360°/5
ABD = 72
The measure of CBD is half the measure of ABD.
So, we have:
CBD = 0.5 * 72
CBD = 36
Hence, the measure of CBD is 36 degrees
What is the length of segment CD?A pentagon has 5 sides, and the given perimeter is 60 cm
Calculate the length of AD using:
AD = 60cm/5
AD = 12
The length of CD is half the length of ABD.
So, we have:
CD = 0.5 * 12
CD = 2
Hence, the length of CD is 6 cm
cm
Which trigonometric ratio can be used to compare BC to CD using angle CBD?Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio
What is the approximate length of BC?We have:
tan(CBD) = CD/BC
Make BC the subject
BC = CD/tan(CBD)
Substitute known values
BC = 6/tan(36)
Evaluate
BC = 8.3 cm
Hence, the approximate length of BC is 8.3 cm
What is the approximate length of BD?By Pythagoras theorem, we have:
BD^2 = BC^2 + CD^2
This gives
BD^2 = 8.3^2 + 6^2
Take the square root of both sides
BD = 10.2 cm
Hence, the approximate length of BD is 10.2 cm
Read more about regular pentagons at:
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I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
Answer:
1. 160 min
2. 84 min
3. 5:12 p.m.
4. 6:40 p.m.
5 a 4:44 p.m.
b 7:14 p.m.
Which scenario depicts two independent events?
The school play opens tonight and it is raining.
Neva is hungry and she buys a snack from the concession stand.
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
Luka paints during school and he stains his shirt.
Neva is hungry and she buys a snack from the concession stand event is independent.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.
Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.
The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.
The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.
Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ5
Given 1x) = 10-2x, find f(7).
Step-by-step explanation:
Given that,
f(x) = 10 - 2xWe are asked to calculate the value of f(7).
Substitute the value of x as 7 in the polynomial to find the value of f(7).
→ f(7) = 10 - 2(7)
→ f(7) = 10 - 14
→ f(7) = -4
Therefore, –4 is the required answer.
PLEASE HELP. (Will Mark Brainliest)
Answer:
Step-by-step explanation:
17/60 = 0.2833333333..... 3 repeating
25/60 = .025 terminating
31/44 = 0.7045454545..... 45 repeating
54/72 = 0.75 terminating
3x + 14 < 38
Please show work
3x + 14 < 38
Subtract 14 from both sides:
3x < 24
Divide both sides by 3:
X < 8
What will be the remainder when 6x + 4x4 - 27x³
- 7x² + 27x + 3/2 is divided by (2x² – 3)?
Answer: The remainder is 0.
Step-by-step explanation:
We are given:
Dividend polynomial = [tex]6x^5+4x^4-27x^3-7x^2+27x+\frac{3}{2}[/tex]
Divisor polynomial = [tex]2x^2-3[/tex]
We divide the dividend by the divisor using the long division method.
In this method, the final answer written in the bottom is considered as remainder and the uppermost polynomial is considered as the quotient.
The long division of the two polynomials is attached in the image below.
From the image, we can say that the remainder of the two is 0
Help
Will
Give
Brainlist
Answer:
3.14 million
Step-by-step explanation:
10.676 - 7.536 = 3.14
To check
7.536 + 3.14 = 10.676
Answer:
3.14 million is the correct answer
please answer this!!!!
Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand.
Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand.
Answer:
He could have asked the girls as well, and could have asked the entire class instead of just 10 students.
Step-by-step explanation:
By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.
Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7
[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]
(a) -3 [tex]\boxed{ > }[/tex] -4
(b) 6 [tex]\boxed{ >}[/tex] -20
(c) -8 [tex]\boxed{ < }[/tex] -2
(d) 5 [tex]\boxed{ > }[/tex] -7
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]
Ranu has 200 stamps and Cathy has 132 stamps. How many stamps must Ranu give Cathy so that they will have the same number of stamps?
Answer:
34
Step-by-step explanation:
let x = number of stamps ranu gives out and the number of stamps cathy receives
200 - x = 132 + x
combine like term s
200 - 132 = 2x
68 = 2x
x = 34
Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)
Answer:
The y-component is 11.49 m.
Step-by-step explanation:
Given that,
Vector = 12 m
Angle, θ = 73.3°
We need to find the y-component of this vector.
It can be calculated as follows :
[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]
So, the y-component is 11.49 m.
is x = 3 a function or not a function ?!
Answer:
x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.
What is the vertex of the graph of the function below? y= x2 - 4x + 3
A. (2.-1)
B. (1,-1)
C. (1,0)
D. (2,0)
Anyone know this answer?
Answer:
56 degrees
Step-by-step explanation:
The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.
Therefore, we have the equation:
[tex]\tan x^{\circ}=\frac{15}{10}[/tex]
To isolate [tex]x[/tex], take the inverse tangent of both sides:
[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]
*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]
b to the power of -3
write that as a positive exponent
explain
Answer:
1/b^3
Step-by-step explanation:
b^-3 is like writing:
1
---
b^3 since negative exponents are made into fractions
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.
Answer:
Step-by-step explanation:
when they meet, time taken are same.
total distance they travel=20+25=45mile
total speed=45+50=95mile/hour
time=45/95=0.474hour
0.47*45=21.4mile>20mile so they meet at east of store.
hi, last thing !! awarding 30 points here !! answer asap thank you so much !!
Answer:[tex]\color{yellow}{}[/tex]
[tex]\color{iron}{{-1, 0, 4}}[/tex]
[tex]\color{iron}{{-3, 1, 2}}[/tex]
Domain is 5 and the range is 4 so the Function is 1.25
Does anyone know this? Options: 5,6,or 10
Answer:
x = 6
Step-by-step explanation:
a • b = c • d where a and b are the segments lengths on one chord and c and d are the segments lengths on the other chord
2*x = 3*4
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
Which function has the same range as
f(x)=-2 Sqrt X-3 +8?
g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8
Answer:
C
Step-by-step explanation:
The option that has the same range than f(x) is:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
What is the range of the given function?
Here we first have the function:
[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]
Remember that the square root only can be evaluated arguments equal or larger than zero.
So the minimum value of x that we can use is x = 3.
[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]
And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.
Which other function has the same range?So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.
The option that meets these two conditions is the third one:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
If you want to learn more about domains and ranges, you can read:
https://brainly.com/question/10197594
Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x
=3
=2y−15
x=?
y=?
Step-by-step explanation:
The first president of the United States was
[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]
Answer:
x=9
y=12
Step-by-step explanation:
A PE teacher has to organise two year groups into netball teams, each separately. Year 7 has 70 students and Year 8 has 98 students. If each year group must be split up equally into teams all of the same size, what is the largest team size she can use?
Answer:
14
Step-by-step explanation:
Find HCF
Year 7: 70 students
7x5x2=70
Year 8: 98 students
7x7x2=98
HCF: 14
The largest team size she can use is 14 students.
Grade 7: 5 teams
Grade 8: 7 teams
Brainliest please, thanks!
Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of pi.
Answer:
1152\pi\
Step-by-step explanation:
What is the absolute value of 6.57?
Answer: it should just be 6.57
Step-by-step explanation:
help help help help pls
Answer:
The length of AB is approximately 6.07 m
Step-by-step explanation:
The given dimensions of the triangle are;
The value of x = 7.7 m
The measure of angle, θ = 52°
The length of side AB = Required
The given triangle ΔABC is a right triangle, with the following sides;
AC = x = The hypotenuse (opposite to right angle) side
(Leg) AB = The opposite side to the reference angle, θ
(Leg) BC = The adjacent side to the reference angle, θ
By trigonometric ratio, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]
Therefore;
[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]
AB = 7.7 × sin(52°) ≈ 6.07
The length of AB ≈ 6.07 m.
A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth
Answer
16.25
Step-by-step explanation: To The Nearest Hundredth
(-1, 2), (3, 1)
√17
(3, 1), (7, 2)
√17
(3, 1), (7, 2)
√8
So our answer is =
8 + √17 + √17 = 16.25
hope it works for you!
ethan invests £500 in the bank for 2 years he earned £40 simple interest
Answer:
Rate = 4%
Step-by-step explanation:
principal = £500
time = 2 years
simple interest = £40
rate = ?
simple interest = PTR / 100
£40 = £500*2*R /100
£40*100 = £1000*R
£4000/£1000 = R
4 % = R
can someone help me with Q I can't seem to get it
Answer:
Can u do zoom it plz i cant see
Sylvie finds the solution to the system of equations by graphing.
y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?
Answer:
the 2nd one
Step-y-step explanation:
which one is the smallest 4/5 1/6 2/3 1/5
Answer:1/6
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{4}{5}=\boxed{\bf 0.80\ or\ 80\%}}\\\\\\\mathsf{\dfrac{1}{6}=\boxed{\bf 0.166667\ or\ 16.6667\% }}\\\\\\\mathsf{\dfrac{2}{3}=\boxed{\bf 0.666667\ or \ 66.6667\%}}\\\\\\\mathsf{\dfrac{1}{5}=\boxed{\bf 0.20\ or \ 20\%}}[/tex]
[tex]\large\textsf{After converting the fractions to decimals and percentages, we can}\\\large\textsf{now out them from descending (least) to ascending (greatest) order}\\\large\textsf{to determine your result to this question}[/tex]
[tex]\boxed{\mathsf{\dfrac{1}{6}, \ \dfrac{1}{5}, \ \dfrac{2}{3}, \& \ \dfrac{4}{5}}}[/tex]
[tex]\large\textsf{The SMALLEST one out of your set is: }\boxed{\mathsf{\bf \dfrac{1}{6}}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{1}{6}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
