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
Rashid [163]
3 years ago
8

Find the value of y and simplify completely.

Mathematics
1 answer:
Anna [14]3 years ago
5 0

Answer:

y = 8

x = 8√5

z = 4√5

Step-by-step explanation:

Using the formula (which is a geometric mean):

a        y

---- = -----

x        a

Where a is the altitude (y), x is a projection (16), and y is the other projection (4):

y        4

---- = -----

16       y

Cross multiply:

y² = 16 (4)

y² = 64

√y² = √64

y = 8

To find x and z, use the Pythagorean Theorem:

16² + y² = x²

256 + 8² = x²

256 + 64 = x²

320 = x²

√320 = √x²

√64√5 = √x²

8√5 = x

x = 8√5

4² + y² = z²

16 + 64 = z²

80 = z²

√80 = √z²

√16√5 = √z²

4√5 = z

z = 4√5

You might be interested in
Margaret is making strawberry milkshakes for the kids party. The recipe calls for of a cup of strawberry syrup to make 12 milksh
denpristay [2]

3 cups of strawberry syrup are needed to make 108 milkshakes.

4 0
2 years ago
3400 people attended a football game. 2312 of the people attending supported the home team, while 1088 supported the visiting te
jolli1 [7]

Answer:

68%

Step-by-step explanation:

6 0
3 years ago
What is the answer of this question ?
Natasha2012 [34]

Answer:

Step-by-step explanation:

They are both C3H8

There are

3 carbons

8 hydrogens

Or put in the form that the table is written

Element          # of atoms  

Hydrogen           8

Carbon                3

4 0
2 years ago
The area of a gymnasium is (27x + 18) square units. Factor 27x + 18 to find possible dimensions of the gymnasium.
Veronika [31]

Answer:

Dimension of gymnasium= 9 units and (3x+2) units.

Step-by-step explanation:

We have been given the area of a gymnasium is 27x+18 square units. We are asked to find possible dimensions of gymnasium by factoring our given expression for area of gymnasium.

Let us factor our greatest common factor of our given expression. We can see that 9 is the GCF of our given expression.

(9\times 3x+9\times 2)

Upon factoring out 9 from our given expression we will get,

9(3x+2)

Therefore, the possible dimensions of the gymnasium will be 9 units and (3x+2) units as we will get the same area for gymnasium by multiplying these both dimensions.  

8 0
3 years ago
Read 2 more answers
Help pleasee I don't know how to do this
andreyandreev [35.5K]

Answer:

Just factorize the given plynomials.

Step-by-step explanation:

like in first example 7x+49

7(x+7)

3 0
2 years ago
Read 2 more answers
Other questions:
  • X3 − 2y2 − 3x3 + z4 if x = 3, y = 5, and z = −3
    14·2 answers
  • Help !! can somebody please help me doing a test need answers ASAP
    6·1 answer
  • Morgan bought a pair of shoes at a sale of 25%. If the amount she paid was $1000, find the marked price.
    13·1 answer
  • Some reports claim that the Dunkin' Donuts chain sells 950 million donuts in five months. At this rate, how many donuts would Th
    5·2 answers
  • Factor completely: 192v^2 -75
    11·1 answer
  • Two identical cars need to fit into a small garage. The opening is 23 feet 6 inches wide, and there must be at least 3 feet 6 in
    9·1 answer
  • Find the zeros of g(x) = -x^2 + 6x - 8
    12·1 answer
  • Claire climbs 555 feet to the top of a monument. She looks down and sees her friend, who is standing at point B in
    11·2 answers
  • An environmentalist tracks the total number of trees y in a park after x years of a planting program. The line of best fit for t
    12·1 answer
  • Help please! will give brainliest
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!