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
dimulka [17.4K]
3 years ago
7

Please help me out!!!!

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Answer:

3√10

Step-by-step explanation:

27² + y² = x²

⇒⇒⇒ y² = x² - 27² ----------------- [ 1 ]

3² + y² = z²

⇒⇒⇒ y² = z² - 3² ----------------- [ 2 ]

<u>Equate [ 1 ] and [ 2 ] :</u>

x² - 27² = z² - 3²

x² - z² = 27² - 3²

x² - z² = 720 ----------------- [ 3 ]

x² + z² = 30²

x² + z² = 900 ----------------- [ 4 ]

[ 3 ] - [ 4 ] :

-2z² = -180

z² = 90

z = √90

z = 3√10

You might be interested in
How does dividing mixed numbers compare with dividing fractions?​
nirvana33 [79]
Mixed numbers are basically sometimes a sign of division. You need to turn the mixed number into an improper fraction.

Steps:

Multiply the whole number by the denominator of the fraction and then add that product to the numerator. Leave the denominator as it is before.

Example:

2 1/4

2x4=8

8+1= 9

Answer: 9/4

Then you can divide!
5 0
3 years ago
The drawing is composed of a rectangle and a semicircle. Find the area of the figure to the nearest unit. Please explain, thank
DanielleElmas [232]
We know that
[area of the figure]=[area of rectangle]+[area of semi circle]

area of rectangle=b*h------> 10*18-----> 180 cm²

area of semicircle=pi*r²/2
diameter=18 cm
radius=18/2----> 9 cm
area of semicircle=pi*9²/2-----> 127.17 cm²

[area of the figure]=[180]+[127.17]------> 307.17 cm²
round <span>to the nearest unit </span>------> 307 cm²

the answer is
the area of the figure is 307 cm²
3 0
3 years ago
What is 3 ln 3 - ln 9 expressed as a single natural logarithm?
marusya05 [52]
Answer: In 3
SOLVINGS
What is 3 ln 3 - ln 9 expressed as a single natural logarithm

Since ln (m^n) = n⋅ln (m)                 … natural logarithmic property
We can further simplify the expression 3 ln 3
3 In 3 = In (3^3)
Therefore, 3 ln 3 - ln 9 = In (3^3) – In 9

Since ln(m/n) =ln(m) – ln(n)         … natural logarithmic property
We can further simplify the expression In (3^3) – In 9
In (3^3) – In 9 = In [(3^3)/(9)]
= In (27/9)
= In 3

Therefore, 3 ln 3 - ln 9 expressed as a single natural logarithm is In 3.
4 0
3 years ago
Read 2 more answers
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
Ad libitum [116K]
1x-10-4 divided by 25
6 0
3 years ago
Identify the savings options and the investment options. business ownership bonds money market account promotional CD
Bond [772]

Answer:

The given options are -

business ownership

bonds

money market account

promotional CD

Now we have to identify these under saving options or investment options.

So, saving are :

promotional CD and money market account ( money market account is a type of saving account that can pay higher interest rate than normal savings accounts, but these accounts have higher minimum deposits.)

And investment are :

business ownership and bonds.

8 0
4 years ago
Read 2 more answers
Other questions:
  • Write out the equation for power using words
    12·1 answer
  • List 3 values that would make this inequality true. Y-30&lt;43
    14·1 answer
  • If h is a linear function with h(1) = 10 and h(3) = -6, what is h(5)?
    13·1 answer
  • Least to greatest <br> -55,143,18,-79,44,101
    14·2 answers
  • What is a reflection
    13·1 answer
  • If four points are coplanar, then they lie on the same plane. True/False
    15·1 answer
  • Does rational numbers, irrational numbers, integers or whole numbers have the fewest numbers
    9·1 answer
  • I will give you brainlist if you answer it.
    15·2 answers
  • Use the graph of the scatter plot to answer the question.
    7·2 answers
  • Ms. Bradshaw bakes a whole chocolate cake. Logan ate 3/10 of the cake on Monday and 1/10 of the cake on Tuesday. What fraction o
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!