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
Black_prince [1.1K]
3 years ago
14

The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 6, Z has the value 9.5. What

is value of Z when X =8, & Y= 12
*****PLEASE HELP**********
Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0
This is the concept of proportionality, given that z is directly proportional to x and inversely proportional to y then:
zαx/y
z=(kx)/y
where;
k is the constant of proportionality given by:
k=zy/x
but when x=3 and =6 then z=9.5
therefore:
k=(9.5*6)/3
k=19
hence the formula for z will be:
z=(19x)/y
the value of z when x=8 and y=12 will be:
z=(19*8)/12
z=12 2/3

You might be interested in
On a test, Shane answered 37 out of 40 questions correctly . What portion of his answers was correct
nikitadnepr [17]
37x2= 74
37/2=18.5
74+18.5=92.5
93%
8 0
3 years ago
If sin(y°) = cos(x°), which of the following statements is true?
Firdavs [7]

Answer:

<u>y = w and ΔABC ~ ΔCDE</u>

Step-by-step explanation:

Given sin(y°) = cos(x°)

So, ∠y + ∠x = 90°  ⇒(1)

And as shown at the graph:

ΔABC is aright triangle at B

So, ∠y + ∠z = 90° ⇒(2)

From (1) and (2)

<u>∴ ∠x = ∠z </u>

ΔCDE is aright triangle at D

So, ∠x + ∠w = 90° ⇒(3)

From (1) and (3)

<u>∴ ∠y = ∠w</u>

So, for the triangles ΔABC and ΔCDE

  • ∠A = ∠C  ⇒ proved by ∠y = ∠w
  • ∠B = ∠D  ⇒ Given ∠B and ∠D are right angles.
  • ∠C = ∠E  ⇒ proved by ∠x = ∠z

So, from the previous  ΔABC ~ ΔCDE by AAA postulate.

So, the answer is <u>y = w and ΔABC ~ ΔCDE</u>

4 0
3 years ago
Read 2 more answers
What kind of function is 3y-2=x+7
Phoenix [80]
I agree with the answer above
4 0
3 years ago
I need help please help me pu
Luba_88 [7]

Answer:

D: x=12

Step-by-step explanation:

7 0
3 years ago
Write a unit rate for: 71 inches of cloth for $23.43.
deff fn [24]

Answer:

$0.33 per inch

Step-by-step explanation:

Divide cost by inch to get cost per inch.

4 0
3 years ago
Other questions:
  • Tony drove 605 miles in 11 hours At the same rate how many miles would he drive in 7 hours
    7·2 answers
  •  The survey asked 948 adults how they would grade the quality of their public schools. Each person gave one response. Find each
    5·1 answer
  • Number 15. Find the equation of the line that passes through (3,-1) and is perpendicular to the line that passes through (-5, 2)
    10·1 answer
  • Please answer asap thank you!
    13·2 answers
  • What is the vertical shift for the absolute value function <br> F(x)=9[x+1]+2
    5·1 answer
  • 3.
    15·2 answers
  • Find the value of 'x'.<br> (2x + 1)<br> (6x - 9)
    9·2 answers
  • Help plz plz plz i need help
    9·1 answer
  • Need help with question 7 and 8 with awnser please check photo for problems
    8·1 answer
  • How do you solve for area?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!