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
IRINA_888 [86]
3 years ago
8

Find the length of the third side. If necessary, write in simplest radical form. 8 17

Mathematics
2 answers:
statuscvo [17]3 years ago
7 0

Answer:

9

Step-by-step explanation:

so we know that its a right triangle and 8 and \sqrt{17} are not the hypotenuse.

the equation for this is a^{2}+b^{2}=c^{2} with c being the hypotenuse.

8^{2}+\sqrt{17} ^{2}=c^{2}

64+17=c^{2}

81=c

\sqrt{81}=c

9=c

Svet_ta [14]3 years ago
6 0

Answer:

Step-by-step explanation:

To make the use of Pythagoras's theorem clear

C^{2} = A^{2} + B^{2}

where C is they hypotenuse or Hyp

A is one side often called  the Adjacent side

B is the other side often called the Opposite side

when A = 8

and B = \sqrt{17}

then

C^{2}  = 8^{2} + \sqrt{17} ^{2}

C^{2} = 64 + 17

C^{2} = 81

C = \sqrt{81}

C = 9

You might be interested in
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y
Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y

2. Solve for y in the second equation and substitute it into the first one.Then, you have:

y=\frac{64}{x^{2}}  \\ SA=x^{2} +4x(\frac{64}{x^{2}})

3. Now, derivate:

SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0

4. When you solve for x, you obtain:

2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}}  \\ x=5.03

5. Now, you must calculate y:

y=\frac{64}{(5.03)^{2}} \\ y=2.52

Therefore, the dimensions are:

The sides of the base of the tank: 5.03 feet

The height of the tank: 2.52 feet

8 0
3 years ago
Omar’s tank is 3/10 full. After he buys 11 gallons of gas, it is 4/5 full. How many gallons can Omar’s tank hold?
marin [14]

Answer:

22 gallons.

Step-by-step explanation:

11 gallons took you from 3/10 to 4/5 (same as 8/10).

so the 11 gallons was 5/10- or 1/2 the tank.

if 11 gallons =half a tank, then a full tank is 22 gallons

6 0
3 years ago
The headless horseman rode 4/1-2 miles from the old Dutch burying ground to the haunted woods he then traveled 9/3-4 miles from
enyata [817]

Answer:

26 1/4 miles

Step-by-step explanation:

9+4+12=25

1/2+3/4=1 1/4

25+1 1/4= 26 1/4

7 0
3 years ago
Find the measure of cd
Elodia [21]

Answer:

93x36

Step-by-step explanation:

1+1+2

7 0
3 years ago
Express 30 as power with base 6​
marissa [1.9K]

Answer:

30 ÷ 6 =5 so

5 is to the power 6

7 0
3 years ago
Other questions:
  • The length of the sides of four triangles are given. Determine which triangle is not a right triangle.a.5 mm, 12 mm, 13 mmb.20 m
    10·1 answer
  • 1. What is the value of the expression 3^-4?. a) -81. b) -12. c) -1/81. d) 1/81. 2. What is the value of the expression 1/4^3?.
    10·2 answers
  • Rafi had a board that was 15 and a half feet long he cut three pieces off the board that are each 3 and 7/8 foot long how much b
    15·1 answer
  • NEED ANSWERS NOW
    7·1 answer
  • Please help me , idk the answer
    13·1 answer
  • 3n² - 9(7m³ + 7n²) pls help!!!
    9·2 answers
  • What is 431.1 divided by 45
    7·1 answer
  • An eight grader has 18 coins in her pocket. The coins are all dimes and quarters. Their total value is 2.85. Find how much of ea
    5·1 answer
  • 1. A chess set has 32 pieces, 16 black and 16 white. In each color, there
    8·1 answer
  • 20% tip on a $30 hair cut
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!