Find the length of midsegment JN in the trapezoid.

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = √225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

Answer:

11.66 units

Step-by-step explanation:

Given that he walks 10 blocks north and then 6 blocks west..

When combined with the straight line to the school, this forms a right angled triangle with the straight line as the hypotenuse.

Hence, let the straight line be h

h^2 = 10^2 + 6^2 (using Pythagoras theorem)

h^2 = 100 + 36

h^2 = 136

h = √ 136

h = 11.66 units

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

Answer: The answer should be 39 yard line

Step-by-step explanation: If you start at the 50 and remove 11 yards you will have 39 yards left

Answer:

205.2/56 = 3.66428571

rounded answer 3.7 hours

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

Answer:

False

Step-by-step explanation:

Based on what is stated in the question :

Expressing the worded equation Mathematically,

(5x - 7) / 2 = y

If y = 28

(5x - 7) / 2 = 28

Cross multiply

5x - 7 = 28 * 2

5x - 7 = 56

5x = 56 + 7

5x = 63

x = 63 / 5

x = 12.6

Hence, x ≠ 9

Answer:

The answers is x=3

Step-by-step explanation:

Divide both sides by the numeric factor on the left side then solve.

Hope this helps.

May i please have a brainless Thank you.

Answer:

Step-by-step explanation:

1.75 x 10^-2

Answer:To equal the original number, you would have to multiply 1.75 by 0.01 or 10-2. Therefore, the proper scientific notation for 0.0175 would be 1.75 x 10-2.

I had this question asked before lol

Answer:

X=[1 5 8 -1]

Step-by-step explanation:

B or Option 2

7 x 3 = 21 so it is 21 ft cm your welcome

Answer:

The answer is C = 63π

Step-by-step explanation:

V = πr2 h

V = π (3)2 x 7

V = π (9) (7)

V = 63 π

Answer:

a) The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex], Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Step-by-step explanation:

a) Foci are located in the major axis of the ellipse, given the locations of ends of the major axis and locations of the foci. We can determine the location of the center of the ellipse by Midpoint formula:

[tex](h,k) = \frac{1}{2}\cdot F_{1}(x,y) + \frac{1}{2}\cdot F_{2} (x,y)[/tex] (1)

Where [tex]F_{1} (x,y)[/tex] and [tex]F_{2} (x,y)[/tex] are the locations of the foci.

If we know that [tex]F_{1}(x,y) = (4, -6-5\sqrt{2})[/tex] and [tex]F_{2} (x,y) = (4,-6+5\sqrt{2})[/tex], then the location of the center of the ellipse is:

[tex](h,k) = (4, -6)[/tex]

The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) Now we need to determine the length of each semiaxis:

Major semiaxis ([tex]a[/tex])

[tex]a = \sqrt{[V_{2}(x,y)-(h,k)]\,\bullet\,[V_{2}(x,y)-(h,k)]}[/tex] (2)

[tex]V_{2}(x,y)-(h,k) = (4,3)-(4,-6)[/tex]

[tex]V_{2}(x,y) - (h,k) = (0, 9)[/tex]

[tex]a = 9[/tex]

Please notice that [tex]V_{2}(x,y)[/tex] is one of the vertices of the ellipse in the major axis.

Distance between focus and center ([tex]c[/tex])

[tex]c = \sqrt{[F_{2}(x,y)-(h,k)]\,\bullet\,[F_{2}(x,y)-(h,k)]}[/tex]

[tex]F_{2}(x,y) -(h,k) = (4-4,-6+5\sqrt{2}+6)[/tex]

[tex]F_{2}(x,y) - (h,k) = (0, 5\sqrt{2})[/tex]

[tex]c = 5\sqrt{2}[/tex]

Minor semiaxis ([tex]b[/tex])

[tex]c^{2} = a^{2}-b^{2}[/tex] (3)

[tex]b = \sqrt{a^{2}-c^{2}}[/tex]

If we know that [tex]a = 9[/tex] and [tex]c = 5\sqrt{2}[/tex], then the length of the minor semiaxis is:

[tex]b = \sqrt{31}[/tex]

In this case, the standard equation of the ellipse is defined by this formula:

[tex]\frac{(x-h)^{2}}{b^{2}}+\frac{(y-k)^{2}}{a^{2}} = 1[/tex]

If we know that [tex]a = 9[/tex], [tex]b = \sqrt{31}[/tex] and [tex](h,k) = (4, -6)[/tex], then the standard equation of the ellipse is:

[tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex]

The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) The lengths of the axes are, respectively:

Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex]

Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Answer:

a) The location of the center of the ellipse is . It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is .

c) Major semiaxis (): , Minor semiaxis ():

Step-by-step explanation:

Answer:

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Step-by-step explanation:

It is given M(h)= 10 [tex]e^{-0.173h}[/tex]

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10[tex]e^{-0.173*1}[/tex]

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10 [tex]e^{-0.173*4}[/tex]

M(4)=10(0.50057)

M(4) =5.0057 milligrams

Answer:

Step-by-step explanation:

Use Pythagorean

Answer:

in right angled triangle BCD

by using Pythagoras law

P²+B²=H²

A²+B²=C²

36²+18²=x²

x=√1620=18√5m

x=18√5 m is your answer

Answer:

Answer is D

Step-by-step explanation:

because its sideways its x = y^2

and because its facing right its positive.

Answer:

12 green bags

Step-by-step explanation:

Given data

The given ratio of green bags to white bags is

=2 to 5

=2:5

Number of white bags=30

Applying the part to part method, let the number of green bags be x

so

2/5=x/30

cross multiply

30*2=5x

60=5x

divide both sides by 5

x= 60/5

x=12

Hence there are 12 green bags

Answer:

[tex] \sqrt[7]{ {x}^{2} } [/tex]

Step-by-step explanation:

can be rewrite as

[tex] \sqrt[n]{a} {2}[/tex]

so x

[tex] {x}^{2 \div 7} [/tex]

Answer:

all are correct except the third one. the formula for that one should be v = a³ since it's a cube

Step-by-step explanation:

Answer:

6x + 2 and 2x + (x + 1) + 2x + (x + 1)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = 2x

Width = x + 1

Perimeter of a rectangle = 2(length + width)

= 2{2x + (x + 1)}

= 2(2x + x + 1)

= 2(3x + 1)

= 6x + 2

Perimeter = length + width + length + width

= 2x + (x + 1) + 2x + (x + 1)

Answer:

$330

Step-by-step explanation:

$3 times 60 students = $180

$5 times 30 adults = $150

$180 + $150 = $330

Answer:

Step-by-step explanation:

you would find your answer by multiplying the amount of students/adults by how much each ticket costs

60 x $3 = $180

30 x $5 = $150

$180 + $150 = $330

Answer:

Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

Step-by-step explanation:

First you make the fraction's denominator equal

2/5 = 4/10

Camen's water bottle is 1 8/10

Jorge's water bottle is 2 4/10

1/2 = 5/10

Make the fractions into a improper fraction

Camen's is 18/10

Jorge's is 24/10

subtract it

24 - 18 = 6

So Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

Answer:

Solution

−5+14

Step-by-step explanation:

Distribute

(4+3)−1(6−6)−1(3−5)

(4+3)−6+6−1(3−5)

Distribute

(4+3)−6+6−1(3−5)

(4+3)−6+6−3+5

(4c+3d) - (6c-6d) - (3c-5d) (4+3)−6+6−3+5

4+3−6+6−3+5

Combine like terms

4+3−6+6−3+5

−5+3+6+5

Combine like terms

−5+3+6+5

−5+14

Solution

−5+14

Answer:

5*x-3=12

the number is 3 because 5*3=15 and 15-3=12

Answer:

3

Step-by-step explanation:

x - 3 = 12

12 + 3 = 15

15 - 3 = 12

5( ? ) = 15

15/5

? = 3

5(3) = 15 - 3 = 12

Hope this helps dude

Answer:

Step-by-step explanation:

Answer:

[tex] \boxed{ \tt{s = 5x + 6y}}[/tex]

Step-by-step explanation:

[tex]let \: the \: perimeter \: be \to p \\ let \: the \: side \: be \to s \\ since \to \: p = 4s \\ then \to \: 4s = 20x + 24y \\ hence \to \: 4s = 4(5x + 6y) \\ therefore \to \: s = 5x + 6y[/tex]

Answer:

9 combinations are in the sample space

Step-by-step explanation:

Well there's 3 sizes 4 flavors and with or without nuts

3(Sizes)+ 4(flavors)+ 2(with or without)

Therefor when you add those up you get 9 things people can choose from, known as the sample space.

The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.

We have been given two cones. First is having radius of 7 mi and

height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.

Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]

=(49*3.14*14)/3

=708.86

Approximately 709 [tex]mi^{3}[/tex]

Volume of second cone =1/3π[tex]5^{2} *10[/tex]

=(25*3.14*10)/3

=261.67

Approximately 262 [tex]cm^{3}[/tex].

Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Learn more about volume at https://brainly.com/question/463363

#SPJ2