simplify the square root of 217

Answer:

Obtuse angle is not a right angle

Obtuse angle are angles between 90° and 180°

The image of the given triangle after transformation that has the rule (x,y)→(x,−y) is graphed below .

In the question

the triangle is given ,

From the figure , we can see that the coordinates of the triangle are

(2,7) , (4,-3) , (-5,-2)

let us name the coordinates of the triangle as A(2,7) , B(4,-3) , C(-5,-2) .

applying the transformation , that has rule (x,y)→(x,−y)

Using this rule to find the new coordinates of the triangle A'B'C' .

when A= (2,7)

A' = (2,-7)

When B = (4,-3)

B' = (4,-(-3))

B' = (4,3)

When C = (-5,-2)

C' = (-5,-(-2))

C' = (-5,2)

So the coordinates of the triangle  A'B'C' is A' = (2,-7) , B' = (4,3) , C' = (-5,2) .

the image triangle A'B'C' is shown below

Therefore , The image of the given triangle after transformation of the rule (x,y)→(x,−y) is graphed below .

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The value of the unknown angle is as follows:

An angle bisector or the bisector of an angle is a ray that divides an angle into two equal parts

Therefore, CH bisects ∠GCD.

Therefore, it divide ∠GCD into two equal halves.

GC bisect ∠BGD.

Therefore, it divides ∠BGD into two equal halves.

Hence,

m∠BGC = m∠CGF

Therefore,

m∠BGC  = 7x - 2

m∠CGF = 8x - 8

7x - 2 = 8x - 8

7x - 8x = -8 + 2

-x = -6

x = 6

Therefore,

m∠BGF = 7x -2 + 8x - 8

m∠BGF = 15x - 10

m∠BGF = 15(6) - 10

m∠BGF = 90 - 10

Therefore,

m∠BGF = 80 degrees

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Value of 'a' for the given statement  the negative a minus four sevenths equals two thirds for a after solving is equal to negative 26 over 21.

As given in the question,

Given statement :

Negative a minus four sevenths equals two thirds for a

Represent the statement in equation form :

-a -(4 / 7) = ( 2 / 3 )

Solve by adding both the side ( 4 / 7 ) we get,

-a - (4 /7) + (4 /7) = (2/3) +(4/7)

⇒ -a = (2/3) + (4/7)

least common multiple of 3 and 7 is 21.

-a = ( 14 /21) + (12 /21)

⇒ -a = 26 /21

⇒ a = -26/21

Therefore, value of 'a' for the given statement  the negative a minus four sevenths equals two thirds for a after solving is equal to negative 26 over 21.

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the expert answer is wrong

Answer:

[tex](-5y^4+4y^3)+(3y^2-2y)[/tex]

Answer:

if you mean between them both then 9.5

if you mean divide then 2.65217391 or rounded as 2.65

Answer: 9.5/2.56

Step-by-step explanation:

I wasn't sure if you meant all of them or not, sorry.

Answer:

x=±√7

Step-by-step explanation:

2x²+31=17

2x²=31-17

2x²=14

x²=14÷2

x²=7

x=±√7

Answer:

D

Step-by-step explanation:

-6 times 3 is obviously -18 and if you type in -6 times -2/3 on a caculator it gives you 4 and its positive because when you times two negatives you get a positive

Still 5 seconds.

(Assuming the Earth around that building is flat.

Answer:

Oggy Oggy oggy

Step-by-step explanation:

boogy boogy

A person will wait at least 1.8720 seconds before the wave crashes when the waves are crashing onto the beach every 4.8 second

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

[tex]P(X\leq x)[/tex] = x-a / b-a

Uniform distribution from 0 to 4.8 seconds.

This means that a=0 , b=4.8

61% of the time a person will wait at least how long before the wave crashes in?

This is the 100 - 61 = 39% percentile, which is x for which [tex]P( X\leq x)= 0.39[/tex] . So

[tex]P(X\leq x)= \frac{x-a}{b-a}[/tex]

x= 1.8720

the time a person will wait at least 1.8720 seconds before the wave crashes in.

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Answer:

The total flight duration from the United States to Portugal is 9 hours and 41 minutes.

Step-by-step explanation:

The distance between Portugal and United States is 4680 miles. The fastest way to get from Portugal to the United States is to fly. Taking this option will cost €220 - €1500 and takes 10h 29m. The distance between Portugal and United States is 4680 miles.

The number of miles he/she can drive with a budget of 150 dollars is 469 miles.

The car rental advertised a car for  $27.95 per day and $0.26 per mile.

If someone rents the car for 4 days and he has a budget of 150 dollars, the number of miles he can drive can be calculated as follows:

The equation used to represent the situation is as follows:

let

x = number of miles drove

Therefore,

150 = 27.95 + 0.26x

subtract 27.95 from both sides of the equation

150 - 27.95 = 27.95 - 27.95 + 0.26x

0.26x = 122.05

divide both sides by 0.26

x = 122.05 / 0.26

x = 469.423076923

x = 469 miles

Therefore, the number of miles he can drive is 469 miles.

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Answer:

m<1 = 159˚

m<2 = 21˚

m<4 = 21˚

Step-by-step explanation:

Angle one is a vertical angle to angle 3 so they have the same angle. Angle 2 and 4 are adjacent angles to angle 3, so they are supplementary angles with angle 3, which 180-159 = 21˚.

Answer:

4.69144 oz

Step-by-step explanation:

Answer: we need the immage

Step-by-step explanation:

Using the concepts of the mean and of the mean absolute deviation, the correct option is given as follows:

Last month, the amount of rain that fell each day varied less than the month before.

In this problem, we have that:

Due to the lower mean absolute deviation combined with the higher mean, the amount varied less than the month before, hence the last option is correct.

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Answer: 24 weeks

Step-by-step explanation:

There are 12 months in a year

In each of those months, Emma walks the dog for 2 weeks

2 times 12 is 24

so Emma walks the dog 24 weeks per year

Step-by-step explanation:

X<-3 Inequality form , [XIX <-3]

The graph is as follows: f(x) = 3ˣ

The graph f (x) is transformed into the graph g(x)

The points (-2, 2) and (-2) on the curve g(x) are (-1,4).

Let any point on f be (a,b) (x).

After translation, a brand-new curve, g(x), is obtained that is perpendicular to the line, asymptotically equal to y=1, or when y reaches 1, the graph is perpendicular to the x axis.

The graph of the translated curve is g(x)=y-1=3ˣ⁺² where g(x) = y = 3ˣ⁺²  + 1.

The following graph shows the two.

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Answer: 2(s+b)

Step-by-step explanation:

1) a + r = t

a = t - r

2) x/2 - b = s

x/2 = s + b

x = 2(s + b)

x = 2s + 2b

The constant of proportionality in cups of water to minute is 80 cups/min

Here we have the proportional relation:

y = k*x

Where y is the number of cups and x the time in seconds, then:

y/x = k

Replacing the values we know:

y = 8 cups.

x = 6 seconds.

We can get the value of k, the constant of proportionality, but first, let's write the time in minutes.

x = 6 seconds

remember that 1 min = 60 sec, then:

6 sec = (6/60) min = 0.1 min

So the constant of proportionality is:

k = 8cups/0.1 min = 80 cups/min

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Answer:

Step-by-step explanation:

Equation of line in slope intercept form: y = mx +c

Pick any two points from the table and find the slope.

 (-2 , 9) ; (-1,7)

  [tex]\sf \boxed{\bf Slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

              [tex]\sf = \dfrac{7-9}{-1-[-2]}\\\\=\dfrac{-2}{-1+2}\\\\=\dfrac{-2}{1}\\\\=-2[/tex]

y = -2x + c

Substitute (-2,9) in the above equation and find the y-intercept 'c'.

      9 = -2*(-2) +c

      9 = 4 + c

 9 - 4 = c

        c = 5

Equation of line:

  y =-2x + 5

Answer: 41, 54, 6.1

Step-by-step explanation:

By the law of Cosines,

[tex]b^2=4^2 +5^2 -2(4)(5)\cos 85^{\circ}\\\\b=\sqrt{4^2 +5^2 -2(4)(5)\cos 85^{\circ}} \\\\ =\sqrt{41-40 \cos 85^{\circ}}\\\\\approx 6.1[/tex]

By the law of sines,

[tex]\frac{\sin A}{a}=\frac{\sin C}{c}=\frac{\sin B}{b}\\\\\frac{\sin A}{4}=\frac{\sin C}{5}=\frac{\sin 85^{\circ}}{\sqrt{41-40 \cos (85^{\circ})}}\\\\\implies \sin A=\frac{4\sin 85^{\circ}}{\sqrt{41-40 \cos 85^{\circ}}} \implies \angle A \approx 41^{\circ}\\\\\implies \sin C=\frac{5\sin 85^{\circ}}{\sqrt{41-40 \cos 85^{\circ}}} \implies \angle C \approx 54^{\circ}[/tex]

Based on the fact that there are courses with 3 credits and 4 credits, with the total that a student can earn being 65 credits, the number of 3 credit courses that the student completed was 19 courses and the number of 4 credit courses was 2 courses.

Assuming that the number of courses worth 3 credits are denoted as x and the number of courses worth 4 credits are denoted by y, the system of equations would be:

3x + 4y = 65

x + y = 21 courses

Using substitution for y gives:

x + y = 21

y = 21 - x

The number of courses with 3 credits is:

3x + 4y = 65

3x + 4(21 - x) = 65

3x + 84 - 4x = 65

84 - 65 = 4x - 3x

1x = 19

x = 19 courses

Number of 4 credit courses is:

= 21 - x

= 21 - 19

= 2 courses

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Answer:

0.24

Step-by-step explanation:

First, you would do 7.2 x 10^-4 which equals 0.00072

Next, 3x10^-3 would equal 0.003

Then , you would divide 0.00072/0.003 = 0.24