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 ​

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.

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]

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.

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

The slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.

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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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

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)

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]

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.

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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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)

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]

...

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]

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]

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]

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

The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.

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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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).

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 ?

Answer:

5,790.0425

Step-by-step explanation:

Using the Empirical Rule, it is found that Tariq scores between 80 and 140 in 99.7% of the games that he bowls.

It states that, for a normally distributed random variable:

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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To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.

The rate is equal to distance divided by time. For example,

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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Answer:

true

Step-by-step explanation:

Answer:

(-3, -1.5)

Step-by-step explanation:

Given:

[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)

Answer:

0,9917

Step-by-step explanation:

3.2 - 1.09 = 2.11

2.11 multiplied by 0.47 = 0.9917

The percentage of the rectangle that will be beige is 15.5 percent

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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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.

The best arrangement can be

So

So

TSA

Total cost

A regular hexagon consists of 3 main characteristics:

Answer: Here u go

Step-by-step explanation:

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.