What is the length of DF? Round to the nearest hundredth.

What Is The Length Of DF? Round To The Nearest Hundredth.

Answers

Answer 1

Answer:

7.06

Step-by-step explanation:

This triangle can be solved a couple of ways. In the end, they amount to the same thing.

1) The area is ...

A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base

Using GE as the base, the height (DF) is ...

A = (1/2)(17)(DF)

2(60)/17 = DF = 120/17

DF ≈ 7.06

__

2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...

(long side)/(hypotenuse) = DE/GE = DF/DG

DF = DG(DE/GE) = 8(15/17) = 120/17

DF ≈ 7.06


Related Questions

When Mr. Woodard preheated his oven, the oven's temperature rose 3 degrees in 1/6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Answers

Given:

Oven's temperature rose 3 degrees in [tex]\dfrac{1}{6}[/tex] of a minute.

To find:

How much will the oven heat up in 1 minute at that rate?

Solution:

According to the question,

Oven's temperature rose in [tex]\dfrac{1}{6}[/tex] of a minute [tex]=3 \text{ degrees}[/tex]

Oven's temperature rose in 1 minute [tex]=6\times 3 \text{ degrees}[/tex]

                                                             [tex]=18 \text{ degrees}[/tex]

Therefore, the oven's will heat up 18 degrees in 1 minute.

Answer:

18

Step-by-step explanation:

therefore it will be 18 degrees in 1 min

Jodie ran at an average speed of 6 km/h for 10 minutes.
How far did she run in km?

Answers

Answer:

speed=distance÷time

Step-by-step explanation:

time×speed=distance

distance =6×0.16=0.96 km

The bakers at Healthy Bakery can make 240 bagels in 10 hours.

How many bagels can they make in one hour?

Answers

Answer is 24, 240 bagels devided by the hours, is 24 bagels

Answer:

30

Step-by-step explanation:

Minus 240 by 200

240 - 200 = 40

Then, minus 10

40 - 10 = 30

30/hour

Hope this helps :)

Which best describes the clusters in the data set?

Number of Ripe Tomatoes on Each Plant in the Nursery
A dot plot going from 10 to 15. 10 has 1 dot, 11 has 1 dot, 12 has 4 dots, 13 has 5 dots, 14 has 4 dots, 15 has 6 dots.
There is no cluster in the data set.
There is one cluster at 13, 14, and 15.
There is one cluster at 12, 13, 14, and 15.
There are two clusters at 13 and at 15.

Answers

Answer:

its c

Step-by-step explanation:

i promise you

Answer:

Its c

Step-by-step explanation:

There is a wall of 13 feet long and you want to hang three equally-sized travel posters of 2 feet width, on a wall so that the posters on the ends are each 1.75 feet from the end of the wall. You want the spacing between posters to be equal. Write and solve an equation to determine how much space you should leave between the posters.

Answers

Answer:

Spacing between the posters will be 1.75 each

Step-by-step explanation:

We are given

The length of the wall = 13ft

width of the poster = 2ft ⇒2*3=6ft for three posters

Poster's from end of the wall = 1.75*2 = 3.50ft

let the spacing be = x ⇒ 2x for two spacing between three posters

Total length of the wall = 6 + 3.50 + 2x = 13

2x + 9.50 = 13

2x = 3.50

x = 1.75ft

So the spacing between the posters will be 1.75 each

Least common denominator of 6/7 and 5/14

Answers

Answer:

14

Step-by-step explanation:

You can‘t simplify 5/14 because 5 is a prime number. So, now you have to convert the 6/7 to 12/14 to match it up to 5/14. They now have a common denominator of 14.

Hope this helps! :)

What is the standard form of –23f² + f/2 = –√3?​

Answers

Answer:

y = -23f^2 + 1/2f + √3

Step-by-step explanation:

Standard form: y = ax^2 + bx + c

x = f

a = -23

b = 1/2

c = √3

–23f² + f/2 = -√3

-23f² + f/2 + √3 = 0

y = -23f^2 + f/2 + √3

y = -23f^2 + 1/2f + √3

Jada was training for a race. She ran 1⅓ miles on Monday. On Tuesday, she only ran of ⅚ a mile. She decided to take the day off on Wednesday. Jada ran 2¾ miles on Thursday and ended the week with a 1½ mile run on Friday. How far did Jada run this week?

Answers

Answer: 5 5/12 miles

Step-by-step explanation:

The following are the distance covered by Jada for the week.

Monday = 1 1/3 miles

Tuesday = 5/6 miles

Wednesday = 0

Thursday = 2 3/4 miles

Friday = 1 1/2 miles

Total distance for the week will be:

= 1 1/3 + 5/6 + 2 3/4 + 1 1/2

The lowest common multiple of 3,6,4 and 2 is 12. The fractions will then be

1 4/12 + 10/12 + 2 9/12 + 6/12

= 3 29/12

= 3 + 2 5/12

= 5 5/12

Jada ran 5 5/12 miles this week

Pls help ASAP will give brainlist

Answers

Answer:

h,f,g I think I'm not sure maybe wait for the next person to make sure

F) F,G,H is your answer! :)

Step-by-step explanation:

Hope this helps

I figured this out because 90% of the time angles go clockwise so the smallest would be 8 inches, then it would got to the second smallest 9 inches, then it would go to the largest 11 inches

Tell me if i am correct or not! :)

Need help ASAP!?

Which equation represents h?
A)
h = 20(sin35)
B)
B
h = 19.5(sin359)
C
h =
19.5
(sin35)
20
D)
20
h =
(sin35)
19.5

Answers

Answer: The correct answer is B) 19.5(sin35)

Step-by-step explanation:

I took the practice

if m=-2,then what is n in this equation ​

Answers

Answer:

n=-1

Step-by-step explanation:

Plug in m=-2 into the given equation and solve

5(-2 - n) =5n

Distribute the 5 to the -2 and -n

-10-5n=5n

Isolate the variable to one side by adding 5n to the right side of the equation.

-10=10n

Isolate the variable by dividing by 10 on both sides.

-1 = n

A line has a slope of 10 and passes through the point (0, 7). What is its equation in slope intercept form?

Answers

Answer:

slope is 10x

Y - intercept is 7

Step-by-step explanation:

The equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have a line that has a slope of 10 and passes through the point (0, 7).

Assume the equation of the line to be -

y = 10x + c            {since m = 10}

For the point (0, 7), we can write -

7 = 10 x 0 + c

c = 7

So, the equation of the line will be -

y = 10x + 7

Therefore, the equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

how do you find the area of a square​

Answers

Multiply the two sides

to find the area of a square, take length x width.

example:

length= 2

width= 7

2 x 7= 14

What is 5/9+7/12? as a fraction in simplest form?

Answers

Answer:

1 5/36

Step-by-step explanation:

To add fractions, you need to have a common denominator between the two fractions.

In this case, the lowest common denominator would be 36. Convert each fraction.

5/9 = 20/36 (multiply the numerator and denominator by 4)

7/12 = 21/36 (multiply top and bottom by 3)

20/36 + 21/36 = 41/36

Then you need to simplify the fraction. 36 goes into 41 once (1), with a remainder of 5, so you would get 1 5/36.

Hope this helps!

Jo Bob’s gyro truck sold 114 gyros for lunch on Wednesday. The driver sold 98 gyros at the first stop. At the next stop, the Jones family and the Brown family bought the remaining gyros, divided equally between the two families. Each gyro cost $2.24. How much did the Jones family pay for their gyros?

Answers

Answer:

they pay $17.92

Step-by-step explanation:

114-98=16

16÷2=8

8×2.24=17.92

2. 3m - 9n = 24 solve for m

Answers

Answer:

m=8+3n

Step-by-step explanation:

Move all terms that don't contain m to the right side and solve.

Hope this helps <3

8 customers entered a store over the course of 16 minutes. At what rate were the customers entering the store in minutes per customer? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 customers 16 minutes 8 customers 16 minutes Resize the right columns to represent the unit rate. Resize these You must answer all questions above in order to submit.

Answers

Answer:

2min/customer

Step-by-step explanation:

If 8 customers entered a store over the course of 16 minutes, then;

8 customers = 16 minutes.

The rate at which the customers are entering is expressed as;

Rate = Time (in minutes)/amount of customers;

Given

Time = 16 minutes

Amount of customers = 8 customers

Rate = 16min/8customers

Rate = 2min/customer

Hence the rate at which the customers entering the store in minutes per customer is 2min/customer.

If y = 12 when x = 6, determine y when x = 18.

Answers

when x=18, y will be 36

HOW DO YOU SOLVE THIS!!!:/

Answers

1.5 should be the number in the blank space. The x numbers are being multiplied by 1/2
It is 1.5 because all those other proportions are divided by 1/2. :)

Johnny and Cage are working together to mold figurines for a craft fair. They already have 8 figurines which were left from the last craft fair. Johnny and Cage can mold 3 figurines every hour. Explain the reasons why this situation is linear.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Initial = 8[/tex]

[tex]Increment = 3[/tex] (every hour)

Required

Explain why it is linear

First, we need to determine the equation that represents the scenario

Let x be the number of hours worked and y be the number of figurines at x hours.

The equation is determined as follows:

[tex]y = Initial\ Figurines + Increment * x[/tex]

This gives:

[tex]y = 8 + 3 * x[/tex]

[tex]y = 8 + 3x[/tex]

Reorder

[tex]y = 3x + 8[/tex]

A linear equation is of the form

[tex]y = mx + b[/tex]

By comparison,

[tex]y = mx + b[/tex] is equivalent to [tex]y = 3x + 8[/tex]

Hence, we can conclude that the situation is linear

Answer:

The situation can be described using the equation y = 3x + 8

The rate of change is not constant.

Step-by-step explanation:

Daniel works no more than 16 hours a week while attending college. He wants to spend at least 2 hours but no more than 10 hours a week parking cars. He is paid $8 (x) and $7 per hour working at the Haul-mart store (y). What are Daniels maximum earnings?

Answers

Answer:

The maximum earning is $122

Step-by-step explanation:

The computation of the Daniel maximum earnings is as follows;

Since there is total of 16 hours

so 10 hours would be for parking cars and the remainig hours i.e.

= 16 hours - 10 hours

= 6 hours

This above hours for working at store

So,

= 10 hours × $8 + 6 hours × $7

= $80 + $42

= $122

Hence, the maximum earning is $122

what a fraction has numerator 12 and is equivalent 3/4?
9/12
12/13
9/16 or 12/16

Answers

Answer:

Step-by-step explanation:

9/12

12/16 bc 12 is four times 3 so you multiply also the denominator for 3 and you get 12/16

Prove that this equation is true.

Answers

First to answer

Answer:

The answer is True:

Let's solve your equation step-by-step.

1/n−1 = 4/15

Step 1: Cross-multiply.

1/n−1 = 41/ 5

(1)*(15)=4*(n−1)

15=4n−4

Step 2: Flip the equation.

4n−4=15

Step 3: Add 4 to both sides.

4n−4+4=15+4

4n=19

Step 4: Divide both sides by 4.

4n/4=19/4

n=19/4

simplify:

19/4 = 4.75

4.75 in decimal for is equal to 4 3/4

There are some parallelograms that are rectangles.
A. True
B. False

Answers

A. True because rectangles two sides of opposite parallel
A. True because rectangles have two opposite sides that are parallel of each other

50 ton is what percent of 85?

Answers

Answer:

58.82

Step-by-step explanation:

Answer:

58.8

Step-by-step explanation:

I think it’s 58.8 sorry if it isn’t

Solve for y.
-2(y-7) =9y – 30
Simplify your answer as much as possible.

Answers

Answer:

y=4

Step-by-step explanation:

-2(y-7)=9y-30

Do distributive property

-2y+14=9y-30

Move the terms

-2y-9y=-30-14

Collect like terms

-11y=-30-14

Calculate the difference

-11y=-44

Divide both sides by -11

y=4

An account grows at an annual interest rate of r, so it grow by a factor of x=1+r each year. The function gives the amount in the account after 4 years when the growth factor is x. What is the total amount in the account if the interest rate for the account is 3% each year?

Answers

Complete question :

An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.

1) What is the total amount in the account if the interest rate for the account is 3% each year?

Answer:

2,431.311498

Step-by-step explanation:

Given that:

Growth factor (x) = (1 + r) per year

If rate (r) = 3% = 0.03

x = 1 + 0.03 = 1.03

Amount in account after 4 years is given by the function :

A(x)= 800x^4 + 350x^3 + 500x^2 + 600x

Put x = 1.03 to obtain the total amount ;

A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)

= 2431.311498

Hence, total amount in account after 4 years = 2,431.311498

This is extremely hard for me please help

Answers

Answer:

dang that is hard

Step-by-step explanation:

Answer:

c. y=-3x+4

Step-by-step explanation:

to find slope

m= y2-y1

     -------

      x2-x1

I'm gonna use coordinates (-2,10) and (-1,7)

m=  10-7

      ----

      -1-2

m= -3

I'm gonna use coordinate (-2,10)

Now substitute into y=-3x+b to find the y value

10=-3(-2)+b

10 =6+b

minus 6 on both sides and y=4

HELP ILL MARK BRAINLIEST
Please just do questions 4. And 5.

Answers

Answer:

1/8 will be 0.125 as a decimal so that is greater than 0.12! so it will be this [tex]1.8 \geq 0.12[/tex]

Answer:

Step-by-step explanation:

4. 1/8   > 0.12

5. -6/7  < -5/6

6. 3/10 + (-7/10) = -4/10= -2/5

7. -4/9 - 1/9 = -5/9

A department store buys 300 shirts at a cost of 1,800 and sells them for $10 each. FInd the percent markup rounded to the nearet percent.

Answers

Answer:

167%

Step-by-step explanation:

1800/300=$6 apiece

6x = 10

10/6 = x

x = 1.67, or 167%

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