In the figure below, DF is a straight line. What is the degree measure of <FEG?​

Answer:

500N

Step-by-step explanation:

Given data

Mass m= 50kg

Acceleration a= 10m/s^2

We know that the expression for the force is

F=ma

Substitute

F= 50*10

F= 500N

Hence the applied force is 500N

Answer:

83, 245

Step-by-step explanation:

Using the rule multiply by 3, then subtract 4

a₄ = 3 × a₃ - 4 = 3 × 29 - 4 = 87 - 4 = 83

a₅ = 3 × a₄ - 4 = 3 × 83 - 4 = 249 - 4 = 245

The next 2 terms are 83, 245

Answer:

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Step-by-step explanation:

The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where:

[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.

[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.

By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:

[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

Where:

[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.

[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.

If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\dot r \approx -316.760\,km[/tex]

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Answer:

21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children

Step-by-step explanation:

In other words, every 7 Adults creates a set of 3 Children

In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.

For 35 adults, 35/7 gives us 5 sets

Therefore 5x3= 15 Children

Finally, 56 adults. 56/7= 8 sets

Therefore 8x3= 24 Children

Hope this helps and goodluck. Feel free to post more questions.

Answer:

1680 ways

Step-by-step explanation:

From the question,

nPr = n!/(n-r)!.................. Equation 1

Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.

Given: n = 8 books,  r = 4 books.

Substitute into equation 1

8P4 = 8!/(8-4)!

8P4 = 8!/4!

8P4 = (8×7×6×5×4!)/4!

8P4 = 1680 ways.

Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways

Answer: pentagonal pyramid

Step-by-step explanation:

It’s a pentagon

Answer:

the answer is A the pentagonal pyramid

Step-by-step explanation:

fAnswer:

1608 acres

Step-by-step explanation:

total acres planted in 12 years = acres planted per year x number of years

134 x 12 = 1608

Answer:

5/6

Step-by-step explanation:

1 2/3 x 1/2 = 5/6

Answer:

5.375 quarts

1.625

Step-by-step explanation:

determine amount of quarts of latex per square feet = 5/200 = 0.025

quart for 215 = 0.025 x 215 = 5.375 quarts

quart for 65 = 65 x 0.025= 1.625

Answer:

18 inches

Step-by-step explanation:

Answer:

I believe, its D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Student C wrote the correct inequality

the inequality will be less than or equal to since we want to spend (exactly) 300 or less. We only buy one jacket for 60 dollars so it will be added seperately to the total number of jackets. We are buying multiple jackets and each jacket costs $40. P = # of pants. So the inequality will look like

60 + 40P (less than or equal to symbol) 300

Hope I'm not too late :)

Answer:

M< D = 105⁰

Step-by-step explanation:

the sum of the opposite angles of a cyclic quadrilateral is 180⁰

hence, <ADC + <ABC = 180⁰

<ADC + 75⁰ = 180⁰

<ADC = 180⁰ - 75⁰

< ADC= 105⁰

Answer:

402.1

hope it helps

please mark Brainliest

The area of the base is 1/2 x s x s = 1/2 x 12 x 12 = 72 square cm

Volume = area of base x height/3

Volume = 72 x 14/3 = 336 cm^3

Answer:

Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Step-by-step explanation:

Since Sasha's grandma is going to sew an umbrella for Sasha, which will be made of 4 identical triangles, if each triangle is 3 feet long and 4 feet high, to determine how many square feet of fabric does Sasha's grandma need, the following calculation must be done:

(3 x 4) x 4 = X

12 x 4 = X

48 = X

Therefore, Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Answer:

200

Step-by-step explanation:

2*5=10

4*5=20

20*10=200

Answer:

the answer is 144

Step-by-step explanation:

we find area so we multiple all numbers

Answer:

28m

Step-by-step explanation:

split the shape in two to find the shapes you know the area of.

rectangles

8×2 = 16

6×2 = 12

A = 28m

Answer:

B

Step-by-step explanation:

First Character: 21 consonant

2nd 3rd and 4th: 10* 9* 8 = 720

Last Character: 26

Total Ways 21 * 720 * 26 = 393120

Answer:

The answer is 33 years.

Step-by-step explanation:

10% of 3 is .3

Just move the decimal to the left.

.3 times 33=9.9

9.9~10

Answer:

The median value is better because it is not affected by the skewness of the data

Step-by-step explanation:

The median is  better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example:  for a downward skewed stem and leaf plot the value of the median is greater than the mean value

Hence the median value is a better representation of the central tendency

Option (C) is the correct option.

"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".

For the given situation,

From the definition, a quadrilateral with sides of different lengths has no parallel sides.

Hence, option (C) is the correct option.

Learn more about quadrilaterals here

https://brainly.com/question/26843538

#SPJ2

Answer:

i think its a

Step-by-step explanation:

Answer:

B 7.2

Step-by-step explanation:

the coordinate of C: (1, 3)

the coordinate of E: (5, -3)

the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]

= [tex]\sqrt{16+36}[/tex]

= [tex]\sqrt{52}[/tex]

≈ 7.2

Answer:

About 33% of students prefer chocolate icecream

Step-by-step explanation:

The actual percentage would be 35%, but none of the other answers are close enough to correct, so I'd have to say the bottom one.

hope this helps you :/

Answer:

53.4° and 36.6°

Step-by-step explanation:

90.0 - 36.6 = 53.4

Answer:

8

Step-by-step explanation:

you would add 1+3+4

Answer: The answer is 12

Step-by-step explanation: 4 x 3 x 1 just multiply all the number together

Hello!

[tex]\large\boxed{x = 3}[/tex]

2x + 1 = 5x - 8

Solve by subtracting both sides by 2x:

2x - 2x + 1 = 5x - 2x - 8

1 = 3x - 8

Add 8 to both sides:

1 + 8 = 3x - 8 + 8

9 = 3x

Divide both sides by 3:

9/3 = 3x/3

x = 3

Answer:

x = 3

Step-by-step explanation:

1. Write the equation

2x + 1 + 5x - 8

2. Add 8 on both sides

2x + 9 = 5x

3. Get the variables together

9 = 3x

4. Solve for x and divide both sides by 3

x = 3