5. in the following figure, GE= r.
where ris the radius of the circle.
a) What is the nature of the triangle GEO? Justify your answer.
b) By calculating SEG in two different ways. using ares of the
Answers
Answer + Step-by-step explanation:
a) GE = r = GM
Then GEO is an isosceles triangle
b) since GEO is an isosceles triangle then :
m∠SEG = m∠GOM = measure of the arc GM (mGM) (result 1)
On the other hand :
m∠SEG = m∠SEG = (1/2)×(mAS - mGM) (it’s a formula) (result 2)
Now ,we equate (result 1) and (result 2) :
m∠SEG = mGM
m∠SEG = (1/2)×(mAS - mGM)
Then
mGM = (1/2)×(mAS - mGM)
c) mGM = (1/2)×(mAS - mGM)
⇔ 2mGM = mAS - mGM
⇔ 3mGM = mAS
⇔ 3m∠SEA = m∠SOA
Remember:
mGM = m∠GOM = m∠SEA
Related Questions
In a batch of 390 water purifiers, 12 were found to be defective l. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
Answers
Answer:
3.08 percent
Step-by-step explanation:
if you do proportions, then it would go like this:
12/390 = x/100
(cross multiply)
390x = 1200
(divide both sides by 390 to get x by itself)
x = 3.07692307692
round and its about 3.08 percent
sorry if its wrong im only in 6th grade
46a+5/3=24/5-a
First answer get to be brainliest!
Answers
Answer:
1/15 or 0.0666.. repeating
Step-by-step explanation:
1. Group all a terms on the left side of the equation
Add a to both sides
[tex]46a+\frac{5}{3}+a=\frac{24}{5}-a+a[/tex]
Group like terms:
[tex]46a+a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]
Simplify the arithmetic:
[tex]47a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]
Group like terms:
[tex]47a+\frac{5}{3}=-a+a+\frac{24}{5}[/tex]
Simplify the arithmetic:
[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]
2. Group all constants on the right side of the equation
[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]
Subtract [tex]\frac{5}{3}[/tex] from both sides:
[tex]47a+\frac{5}{3}-\frac{5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]
Combine the fractions:
[tex]47a+\frac{5-5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]
Combine the numerators:
[tex]47a+\frac{0}{3}=\frac{24}{5}-\frac{5}{3}[/tex]
Reduce the zero numerator:
[tex]47a+0=\frac{24}{5}-\frac{5}{3}[/tex]
Simplify the arithmetic:
[tex]47a=\frac{24}{5}-\frac{5}{3}[/tex]
Find the lowest common denominator:
[tex]47a=\frac{24\cdot 3}{5\cdot 3}+\frac{-5\cdot 5}{3\cdot 5}[/tex]
Multiply the denominators:
[tex]47a=\frac{24\cdot 3}{15}+\frac{-5\cdot 5}{15}[/tex]
Multiply the numerators:
[tex]47a=\frac{72}{15}+\frac{-25}{15}[/tex]
Combine the fractions:
[tex]47a=\frac{72-25}{15}[/tex]
Combine the numerators:
[tex]47a=\frac{47}{15}[/tex]
3. Isolate the a
[tex]47a=\frac{47}{15}[/tex]
Divide both sides by 47:
[tex]\frac{47a}{47}=\frac{\frac{47}{15}}{47}[/tex]
Simplify the division:
[tex]a=\frac{47}{15\cdot 47}[/tex]
Simplify the right side:
[tex]a=\frac{1}{15}[/tex]
hope this helps:)
Answer:
0.06 or 1/15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
• Packaging of a product can cost a lot of money. Can you design
the cheapest package?
• Your task is to decide on the most cost effective and efficient
way to pack 12 golf balls. The radius of each golf ball is 1,8 cm.
All 12 golf balls fit side by side and you must design a box that
will hold the 12 golf balls with the minimum amount of wasted
card. The cost of cardboard is going to 0,01€ per cm squared.
Answers
The best arrangement can be
3 rows and 4balls each rowSo
Length of one row=1.8(4)=7.2cmWidth=1.8(3)=5.4cmHeight=1.8(2)=3.6cmSo
TSA
2(LB+BH+LH)2(5.4(7.2)+(7.2)(3.6)+3.6(5.4))2(84.24)168.48cm²Total cost
168.48(0.01)1.685€what is 2.75% of 210,547
Answers
Answer:
5,790.0425
Step-by-step explanation:
Group the terms with variables on one side of the equal sign and simplify.
19p = 10p + 54
9p = 54
9p = −54
29p = 54
29p = −54
Answers
Answer:
9p = 54
Step-by-step explanation:
19p = 10p + 54
Subtract 10p on both sides,
19p - 10p = 54
9p = 54
Step-by-step explanation:
my dear this is very very simple
you can definitely solve it by yourself.
just take "like terms" pit them at one side make (if a negative sign crosses to the other side of the "equal to sign" (=) it changes to positive and vice versa.
19p = 10p + 54
so grouping like terms:
10p will come and meet 19p (but it will carry the positive sign because it has crossed the '=' sign
so we have,
19p -10p = 54
since 19p and -10p are like terms so we can subtract (imagine 19 apples - 10 apples)
so we get:
9p = 54 ( 9 apples = 54)
option (A)
Hope this helps.
Ace that assignment.
Good luck ✅.
you're super free to ask any further questions okay.
The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year. The values will be graphed on the given coordinate plane. Which is the most appropriate choice of origin and scale for this graph?
Answers
The option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
As we can see in the table, data is given, we can plot it in the graph by using the scale factor.
On the x-axis, scale: 1 unit = 1 week
On the y-axis, scale: 1 unit = 150 minutes
On the y-axis, 2 units = 300 minutes
On the y-axis, 3 units = 450 minutes
Thus, the option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.
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Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.
Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.
What are the dimensions of the painting on the new scale drawing?
Answers
The percentage of the rectangle that will be beige is 15.5 percent
What is a rectangle?
A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The width of the "H" is 1/2 the distance form the top to the bottom of the "H" is 1/2
1/2 + 1/2 =
the side length of the "H" is 4
4 x 1/2 = 2
The demensions of the other 1/2 by 4 are the same, therefore,
2 + 2 = 4
The middle section is 1 by 1/2
1 x 1/2 = 1/2
The equation is 2 + 1/2 = 2 1/2
and converted to decimal form it is 4.5
The rectangle is 4 by 5
So 4 x 5 = 20
20 - 4.5 = 15.5 percent
Hence the percentage of the rectangle that will be beige is 15.5 percent.
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Find the surface area of the prism.
Answers
Answer:
252m^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(12 x 6) + 2(12 x 3) + 2(6 x 3)
= 2(72) + 2(36) + 2(18) then simplify
= 144 + 72 + 36
= 252
7-12 find the limit.
8. [tex]\lim _{t \rightarrow \infty} \frac{t^{3}-t+2}{(2 t-1)\left(t^{2}+t+1\right)}[/tex]
Answers
Divide through the limand by the highest power of t :
[tex]\displaystyle \lim_{t\to\infty} \frac{t^3-t+2}{(2t-1)(t^2+t+1)} = \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)}[/tex]
(I distributed 1/t³ in the denominator as 1/t (2t - 1) and 1/t² (t² + t + 1).)
As to goes to infinity, these 1/tⁿ terms will converge to 0, and you're left with
[tex]\displaystyle \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)} = \frac{1 - 0 + 0}{(2-0)(1+0+0)} = \boxed{\frac12}[/tex]
If the positive difference between 3.2 and 1.09 is multiplied by 0.47, the result is:
Answers
Answer:
0,9917
Step-by-step explanation:
3.2 - 1.09 = 2.11
2.11 multiplied by 0.47 = 0.9917
What is the monthly payment on a 48-month loan for $28,000 with 2% interest?
Amortization formula:
$585
$608
$618
$625
Answers
28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into cach
bottle?
A. 8/12
*
B. 2 2/8
C. 8/26
D. 2 4/8
Answers
Answer:
b
Step-by-step explanation:
to find the answer to this you sould divide the amount of pints by the number of bottles
18/8
which is also 2 2/8
so the answer is b
HELP me please please thanks you.
Answers
Answer:
The triangles are not similar
Step-by-step explanation:
You can make a ratio with the corresponding sides of the triangles. When triangles are similar, the ratios are equal.
These will be:
ED:BA = EF:BC = FD:AC
Now, to substitute the numbers and check whether the ratios are equal:
3/8 = 2/5
Already, we see that these ratios are not equal, therefore the two triangles aren't similar.
plx help me plx ? can u tell me the answer of this algebra equation 2(x+3)+3(×-4)
Answers
all u have to do is simply
Step-by-step explanation:
[tex] = 2(x + 3) + 3(x - 4)[/tex]
[tex] = 2x + 6 + 3x - 12[/tex]
[tex] = 2x + 3x + 6 - 12[/tex]
[tex] = 5x - 6[/tex]
...
What is the slope of the line represented by the following equation? 4x−y+3=0
Answers
The slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
What is the slope of a line?The slope of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It describes the direction of the line.
The standard form of the equation of a line can be given as,
y=mx+c
Here, c is the y intercept of the line and m is the slope of the line.
The equation of the line is given as,
4x-y+3=0
Rewrite the equation in the standard form as,
4x-y+3=0
4x+3=y
y=4x+3
Compare it with standard equation we get,
m=4
c=3
Thus, the slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
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Identify the axis of symmetry, vertex, and y intercept of y=-6x^2+12x-8
Answers
Answer:
See below for answers and explanations (with attached graph)
Step-by-step explanation:
It helps to transform the equation into vertex form by completing the square because it tells us a lot about the characteristics of the parabola:
[tex]\displaystyle y=-6x^2+12x-8\\\\y=-6\biggr(x^2-2x+\frac{4}{3}\biggr)\\\\y-6\biggr(-\frac{1}{3}\biggr) =-6\biggr(x^2-2x+\frac{4}{3}-\frac{1}{3}\biggr)\\\\y+2=-6(x^2-2x+1)\\\\y+2=-6(x-1)^2\\\\y=-6(x-1)^2-2[/tex]
Since vertex form is [tex]y=a(x-h)^2+k[/tex], we identify the vertex to be [tex](h,k)\rightarrow(1,-2)[/tex] and the axis of symmetry to be [tex]x=h\rightarrow x=1[/tex]. The y-intercept can be found by setting [tex]x=0[/tex] and evaluating:
[tex]y=-6(x-1)^2-2\\\\y=-6(0-1)^2-2\\\\y=-6(-1)^2-2\\\\y=-6(1)-2\\\\y=-6-2\\\\y=-8[/tex]
Hence, the y-intercept of the parabola is [tex]y=-8[/tex], or [tex](0,-8)[/tex] as an ordered pair.
For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?
For the point (9, 12), find csc θ and sec θ.
A. csc θ = 5/4, sec θ = 5/3
B. csc θ = 5/4, sec θ = 4/5
C. csc θ = 3/5, sec θ = 4/5
D. csc θ = 3/4, sec θ = 3/5
Answers
The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a standard-position angle determined by the point (x, y).
The point is (9, 12)
From the Pythagoras theorem, we can find the hypotenuse(h):
h = √(9²+12²)
h = 15
cscθ = hypotenuse/opposite = 15/12 = 5/4
secθ = hypotenuse/adjacent = 15/9 = 5/3
Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
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12
y
8
41.81
48.199
33.69
56.31
ninate Education, Inc.
Answers
Answer:
hope this help you
Step-by-step explanation:
[tex] \cos(y) = \frac{b}{h} \\ \cos(y) = \frac{8}{12} \\ y = \cos {}^{ - 1} ( { 0.6666}^{ } ) \\ y = 48.19[/tex]
Using trig to find a side
Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
x = 117.8
Step-by-step explanation:
The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.
Taking the tan value of the listed angle :
tan 50° = x/99
1.19 = x/99
x = 1.19 × 99
x = 117.8 (nearest tenth)
Which is a regular hexagon?
A.
B.
C.
D.
Answers
A regular hexagon consists of 3 main characteristics:
It is a closed shape.Six equal sidesSix equal anglesAnswer: Here u go
Step-by-step explanation:
help me please, will mark brainliest!
Answers
Step-by-step explanation:
remember (always remember) : a probability is desired cases divided by total possible cases.
what is our total here ?
1388 students at this school
what are our desired cases here ?
every student, who bikes to the school : 207
so, the probability that a randomly picked student is biking to the school is
207/1388 = 0.149135447...
so, b. is the right answer.
please let me know what is not clear to you.
we solved now many probability questions together, but this is very, VERY basic, and you could not do it.
so, what is not "clicking" with you ? what do you need explained ?
A line segment has endpoints of (-2,6) and
(-4,-9). What is the midpoint of the line
segment?
Answers
Answer:
(-3, -1.5)
Step-by-step explanation:
Given:
Endpoint₁: (-2, 6)Endpoint₂: (-4, -9)[tex]\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}[/tex]
Substitute the endpoints of the line segment in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text][/tex]
Simplify the coordinates in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text][/tex]
Thus, the coordinate of the midpoint is (-3, -1.5)
Natalie is hiking up a mountain while Simone is hiking down. When Natalie begins to ascend, Simone begins to descend at the same time. The graph shows Natalie’s elevation in feet over time in minutes. The table shows Simone’s elevation at different times. Who is hiking at a faster rate? Show your work.
Answers
To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.
How to find out who is faster?Calculate how fast each hiker moves or the rate for each hiker.Compare the rates.How to calculate the rate?The rate is equal to distance divided by time. For example,
Natalie travels 100 meters in 5 minutes:100/ 5 = 25 meters per minute.Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.
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Simplify: √45 – 3√20 + 4√5
Answers
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
simplifying
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{45}[/tex] - 3[tex]\sqrt{20}[/tex] + 4[tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex] - 3(2[tex]\sqrt{5}[/tex] ) + 4[tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex] - 6[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
= [tex]\sqrt{5}[/tex]
What is -2/8 simplified?
Answers
Answer:
[tex]\huge\boxed{\sf -\frac{1}{4} }[/tex]
Step-by-step explanation:
Given Fraction:
[tex]\displaystyle =-\frac{2}{8}[/tex]
Divide both numerator and denominator by 2 to simplify.
[tex]\displaystyle =-\frac{2 \div 2}{8\div 2} \\\\= -\frac{1}{4} \\\\\rule[225]{225}{2}[/tex]
The simplified form of -2/8 is [tex]-1/4[/tex]
Hope this helps you :)
A random sample of college football players had an average height of 66.35 inches. Based on this sample, (65.6, 67.1) found to be a 90% confidence interval for the population mean height of college football players. Choose the correct answer to interpret this interval. i. We are 90% confident that the population mean height of college football players is between 65.6 and 67.1 inches. ii. There is a 90% chance that the population mean height of college football players is between 65.6 and 67.1 inches. iii. We are 90% confident that the population mean height of college football palyers is 66.35 inches. iv. A 90% of college football players have height between 65.6 and 67.1 inches.
Answers
Answer:
We are 90% confident that the population mean height of college football players is between 65.6 and 67.1 inches.
Step-by-step explanation:
90% Confidence interval means that out of 100 different samples, for example, 90 out of 100 confidence intervals with include the true mean value (average height).
When Tariq goes bowling, his scores are normally distributed with a mean of 110 and a standard deviation of 10. Using the empirical rule, what percentage of the games that Tariq bowls does he score between 80 and 140
Answers
Using the Empirical Rule, it is found that Tariq scores between 80 and 140 in 99.7% of the games that he bowls.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering the mean of 110 and the standard deviation of 10, scores between 80 and 140 are within 3 standard deviations of the mean, hence Tariq scores between 80 and 140 in 99.7% of the games that he bowls.
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How far will a cyclist riding at 25 miles per
hour travel in 3.5 hours?
Answers
Answer:
[tex]87.5\ miles[/tex]
Step-by-step explanation:
Step 1: Determine how far
Rate of speed * total hours
[tex]\frac{25\ miles}{hour}*3.5\ hours[/tex]
[tex]87.5\ miles[/tex]
Answer: [tex]87.5\ miles[/tex]
A linear pair must add up to 180 degrees is true or false?
Answers
Answer:
true
Step-by-step explanation:
Will mark brainlist to whoever answers first!
Full explanation please
Answers
Answer:
D
Step-by-step explanation:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor,
J-(2,2)
A-(4,4)
--
G-(-2,-2)
C-(-4,-4)
--
H-(4,4)
B-(8,8)