1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex Ar [27]
3 years ago
14

13. In ADGE,DG = 8,GE = 17, and DE = 15. What is the length of DF? Round to the nearest hundredth.

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Answer:

Step-by-step explanation:

The trick is not to get all caught up in Pythagoras. There is a much simpler way to do it. Find the area of the triangle two different ways. DG and DE are at right angles. That is one way to find area. The other is use the height (DF) and multiply that by the hypotenuse GE.

DG*DE/2 = GE * DF/2            Multiply both sides by 2

DG*DE = GE * DF

DG = 8

DE = 15

GE = 17

8*15 = 17* DF

120 = 17 * DF                         Divide by 17

120/17 = DF

DF = 7.06

You might be interested in
Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid
marishachu [46]

Answer:

Density = 1.094g/cm^3

Step-by-step explanation:

Given

Length = 17.7cm

Width = 8.3cm

Height = 13.0cm

Mass = 2090g

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

Volume = Length * Width * Height

Substitute values for Length, Width and Height

Volume = 17.7cm * 8.3cm * 13.0cm

Volume = 1909.83cm^3

The density is:

Density = \frac{Mass}{Volume}

Density = \frac{2090g}{1909.83cm^3}

Density = 1.094g/cm^3<em> --- approximated</em>

5 0
3 years ago
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 200 nails an
Dima020 [189]

Answer: 21

Step-by-step explanation:

4 0
3 years ago
A cylinder has a volume of 540 cm cubed. if the height of the cylidner is 15 cm, find the radius.
Tamiku [17]
You should always remember that a cylinder consists of circles that are all over each other to form the height of the cylinder.
So the volume of the cylinder= the area of the surface circle* the height.
V=540=\pi r^2*h= \pi r^2*15
Then,
r^2= \frac{540}{15 \pi }
So, r= \sqrt{\frac{540}{15 \pi }}
radius is approximately 3.4cm
*If you cannot see the equations properly please wait till it downloads or refresh the page*
Hope this helps.
6 0
3 years ago
You buy 3.18 pounds of oranges, 1.25 pounds of peaches, and 1.96 pounds of grapes. What is your total bill
BabaBlast [244]

Answer:

$6.39

Step-by-step explanation:

Just add the cost of everything

3.18 + 1.25 + 1.96 = 6.39

4 0
2 years ago
Read 2 more answers
Estimate the percent using decimals<br> 52% of 71
adelina 88 [10]
1.732394366197183 so 2
4 0
3 years ago
Other questions:
  • How many times does seven go into 52
    10·2 answers
  • PLEASE HELP.! <br> Solve for k.<br><br> 2 = k/3<br> k = ?
    11·2 answers
  • The difference between two numbers is 9 and the product of the numbers is 162. Find the two numbers
    5·1 answer
  • Which ratio (fraction) correctly represents 0.1%?<br><br><br><br> please answer ASAP!
    8·2 answers
  • 500 people fill up 4/9 of the hall. What is the seating capacity of the hall?
    11·2 answers
  • The average internal body temperature of humans in 98.6
    5·2 answers
  • What is the area of this triangle in coordinate plane
    13·2 answers
  • 7. Refer to the diagram. The equilibrium price
    5·1 answer
  • João has 7 apples if he gives joana 3 and matilde 4 how many did he have?
    8·1 answer
  • Someone please help!<br><br> Thank you to anybody
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!