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AleksAgata [21]
3 years ago
10

Write using algebra.

Mathematics
2 answers:
ipn [44]3 years ago
7 0
D x 2= c so whatever Leo has Pete always has twice as much
lyudmila [28]3 years ago
6 0
D * 2
Pete has 2 times more than Leo
* = times ( fact)
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Prove the identity.
Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

r²(cos²theta+sin²theta) = r²

(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM

5 0
4 years ago
How do you do this problem?
faust18 [17]

The volume of the original cylinder is

... V = π·r²·h

For r=1 and h=1, this is

... V = π·1²·1 = π

For the new cylinder, the volume is 1.089 times that amount.

... V = 1.089π = π·1.1²·(1-k)

... 1.089/1.21 = 1-k

... k = 1 - 1.089/1.21 = 1 - 0.9 = 0.1 = 10%

The appropriate choice is (B) 10.

7 0
3 years ago
Read 2 more answers
Six friends share Three fruit bars equally how much do they get ?
kiruha [24]
If there are 6 friends and half as many food bars as friends, then each friend would get half a food bar. How that each of the 3 food bars are split in half, there is 6 pieces for the 6 friends! :)
6 0
3 years ago
If (5, 4) and (7,2) are the endpoints of a diameter of a circle, what is the equation of the circle?
STatiana [176]

Answer:

  (x -6)^2 +(y -3)^2 = 2

Step-by-step explanation:

The midpoint (C) is the center of the circle:

  C = ((5, 4) +(7, 2))/2 = ((5+7)/2, (4+2)/2) = (6, 3)

A circle with center (h, k) that goes through point (a, b) can be written as ...

  (x -h)^2 +(y -k) ^2 = (a -h)^2 +(b -k)^2

Using the values for this problem, we get ...

  (x -6)^2 +(y -3)^2 = (5 -6)^2 +(4 -3)^2

  (x -6)^2 +(y -3)^2 = 2

8 0
3 years ago
Read 2 more answers
a movie ticket used to cost $4.25 back in 1990. inflation exist because products increase in value over time. the inflation rate
Andrews [41]

In the year 1998, movie tickets will be greater than $5.50 as determined by solving the equation y=4.25[(1.035)^x].

What is an equation?

  • Math can be used to analyze an equation or a set of equations.
  • An equation is a sentence that maintains the equivalence of two expressions. Most of the time, it is easy to solve the arithmetic equations given in an exact manner.
  • While perfect solutions can occasionally be found, it is more typical to find approaches that are just as accurate. It speaks to the particular guidelines for quadratic mathematical equations.

A movie ticket cost $4.25 in 1990.

The inflation rate is about 3.5%

Rate increased ,r=100%+3.5%=103.5%=1.035

equation generated is,

y=4.25[(1.035)^x]

Solving the equation for each year, we get the following data:

Tabulating the data

Year         cost

1990         4.25

1991          ....

....              ....

1998          5.5964~ 5.6

In the year 1998, the will be greater than $5.50.

To learn more about equations visit:

brainly.com/question/17145398

#SPJ1

6 0
1 year ago
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