There are two children in the Patel family.
They are twins of the same age.
What is the range of their ages?

Answer:

Step-by-step explanation:

cos²(x) = 1-sin²(x) = 144/169

cos(x) = √(144/169) = 12/13

:::::

tan(x) = sin(x)/cos(x) = (5/13)/(12/13) = (5/13)×(13/12) = 5/12

Answer:

In a savings account earning 0.01%, your balance after a year would be $10,001.

Step-by-step explanation:

Answer:

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Answer:

$27.48

Step-by-step explanation:

He buys 1 shirt at 12.94 and gets one at 6.47

He does this 2 times and the total is 25.88

That times 1.062 to factor in the 6.2 percent tax rate is 27.48

So first you do:

.5 x 12.94=6.47

Next:

6.47 x 2=12.94

Then:

12.94 x 3=38.82

Now you have to do the tax:

38.82 x .062=2.41

After you get the answer for tax you have to add that to the price with out tax:

So, 38.82+2.41

=41.23

So you answer is 41.23 including the discount and tax

Answer:

Amanda's computer weighs 3.5 pounds

Step-by-step explanation:

Answer: -324.4

Step-by-step explanation:

Answer:

S,R,Q

Step-by-step explanation:

Answer:

Vertex is (5,-9)

Step-by-step explanation:

Answer: The vertex is (5,-9).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

okay here is the answer but no work shown

x= -16

Answer:

x=45

y=135

z=45

Answer: All three methods would be easy and effective

Step-by-step explanation:  

Answer:

Step-by-step explanation:

A rectangular room must have a perimeter of 20 feet and an area of at least 20 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot

------------

L + W = 10 --> W = 10 - L

---

L*W >= 20

----

Solve L*W = 20

L*(10 - L) = 20

-L^2 + 10L - 20 = 0

Answer:

w = 5

Step-by-step explanation:

(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1

(Graph, just switch w to x)

Answer:

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Answer:

5

Step-by-step explanation:

(125) ^ (1/3)

We can rewrite 125 as 5^3

( 5^3) ^ 1/3

We know that a^b^c =a ^ (b*c)

5 ^(3*1/3)

5^ 1

5

Answer:

5

Step-by-step explanation:

when something is to the power of 1/2, that means you square root it

when it is to the power of a third, that means you cube root it.

for example, if it is 25 to the power of a half, that means [tex]\sqrt{25} = 5[/tex] because

5 x 5 = 25

this is the same concept

we need to find a number that multiplies itself 3 times and equals to 125

5x5x5 = 125, meaning that

125 to the power of a third, is 5.

Answer:

20

Step-by-step explanation:

The ratio of red : yellow is 3 : 4 = 3x : 4x ( x is a multiplier )

If 3 red counters are removed then

red : yellow = 3x - 3 : 4x = 3 : 5

Expressing in fractional form

[tex]\frac{3x-3}{4x}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(3x - 3) = 12x

15x - 15 = 12x ( subtract 12x from both sides )

3x - 15 = 0 ( add 15 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

number of yellow counters = 4x = 4 × 5 = 20

Answer:

Scale factor=8

Step-by-step explanation:

height =(64/8=8)

Length (40/5=8)

Hope this helps ;)

Answer:

Scale Factor: 1/8

Step-by-step explanation:

8/64 simplified (divided by 8) = 1/8

5/40 simplified (divided by 5) = 1/8

Answer:

a)  y = 2 x - 1

b)  y = - x + 7

c)  y = 7 x + 2

Step-by-step explanation:

Use a pair of (x1, y1) and (x2, y2) points to find the equation of the line for each tables:

a) (5, 9) and (10, 19)

slope: (y2 - y1) / (x2 - x1) = (19 - 9) / (10 - 5) = 10 / 5 = 2

Then  y = 2 x + b

solve for b in:  9 = 2 (5) + b

b = 9 - 10 = -1

Then   y = 2 x - 1

b) (2, 5) and (5, 2)

slope: (y2 - y1) / (x2 - x1) = (2 - 5) / (5 - 2) = -3 / 3 = -1

Then  y = - x + b

solve for b in:  5 = - (2) + b

b = 5 + 2 = 7

Then   y = - x + 7

c) (3, 23) and (6, 44)

slope: (y2 - y1) / (x2 - x1) = (44 - 23) / (6 - 3) = 21 / 3 = 7

Then  y = 7 x + b

solve for b in:  23 = 7 (3) + b

b = 23 - 21 = 2

Then   y = 7 x + 2

Answer: =−19w+27

Step-by-step explanation:Hope this help :D

Answer:x=1 or x=−2

Step-by-step explanation:

Answer:

13/10 5/3 40-78 C A

Step-by-step explanation:

Answer:

nth term = 0.8 * -5^(n - 1)

First five terms are: 0.8, -4,

20, -100, 500

Step-by-step explanation:

First term, a1 = 0.8

Common ratio, r = -5

a1 = 0.8

Second term = ar

= 0.8 * -5

= -4

Third term = ar²

= 0.8 * -5²

= 0.8 * 25

= 20

Fourth term = ar³

= 0.8 * -5³

= 0.8 * -125

= -100

Fifth term = ar⁴

= 0.8 * -5⁴

= 0.8 * 625

= 500

First five terms are: 0.8, -4,

20, -100, 500

nth term = ar^(n - 1)

= 0.8 * -5^(n - 1)

nth term = 0.8 * -5^(n - 1)

B OR D IT WAS confusing.

Step-by-step explanation:

I tried different equations multiple ways I'm pretty sure I did it wrong

Answer:

Here, hope that answers your question

Answer:

3

Step-by-step explanation:

Use the reverse form of the pythagorean theorem.

c^2 - b^2 = a^2

25 - 16 = 9

square root of 9 is 3

Answer and Step-by-step explanation:

The answer that we have agreed upon is answer choice 2, C, A, B.

This is because the first distance is found, and could possibly be the hypotenuse, noted as C, then the other two sides are created, becoming the legs of a triangle, noted as A and B respectively.

I hope this helps and is correct!

#teamtrees #PAW (Plant And Water)