The integer 49 can be written as the sum of smaller perfect squares in a variety of ways. One such way includes six terms: $25 9 9 4 1 1$. If each term has a value between 0 and 49, what is the fewest number of perfect square terms smaller than 49 that can be added together for a sum of 49

Step-by-step explanation:

cos θ - sin θ = √2 sin θ

cos θ + sin θ = √2 sin θ + 2sin θ

cos θ + sin θ = √2(sin θ + √2sin θ)

cos θ + sin θ = √2 cos θ. (Proven)

Answer:

The percentage increase in sales is 54.45%

Step-by-step explanation:

Here, we want to calculate the percentage increase

mathematically the increase in sales is 17-11 = 6

The percentage increase is ;

6/11 * 100% = 54.45%

Answer:

[tex]A=4\pi r(l+r)[/tex]

Step-by-step explanation:

The total surface area of a cone is given by :

[tex]A=\pi rl+\pi r^2\\\\=\pi r(l+r)[/tex]

Put r = 2r and l = 2l in the above formula

[tex]A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)[/tex]

Hence, the total surface area of the cone is [tex]4\pi r(l+r)[/tex].

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Answer:

D; $4,250

Step-by-step explanation:

Here, we want to know the amount that was invested in the 5% account

We proceed as follows;

Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b

We have it that the total investment amount is $11,000

Mathematically, since total is 11,000; we can add a and b to give this

a + b = 11,000 •••••••••(i)

Now, let us work with the interests

Interest earned will be;

Percentage of interest * Amount invested

For the 5% interest account, the interest earned will be;

5/100 * a = 5a/100 = 0.05a

For the 8% interest account , the interest earned will be;

8/100 * b = 0.08b

By adding the interests on both account, we can get the total amount of interest earned

We can have this as;

0.05a + 0.08b = 752.50 •••••(ii)

From equation i above;

b = 11,000 - a

Substitute this into ii

0.05a + 0.08(11,000-a) = 752.5

0.05a+ 880 - 0.08a = 752.5

0.08a-0.05a = 880-752.5

0.03a = 127.5

a = 127.5/0.03

a = $4,250

Answer:

-75

Step-by-step explanation:

200 = 125-u

75 = -u

u = 75

Answer:

434

Step-by-step explanation:

To find the answer you divide 310 by 10 to get it's feet per second (f/s) which is 31, and then you multiply 31 by 14 to get the distance the elevator will travel in 14 seconds.

Mark brainliest pls :)

Answer:

434 feet

Step-by-step explanation:

310 divided by 10 = 31

31 times 14 = 434 feet

Answer:

30 angels

Step-by-step explanation:

Answer:

OK!!!!!!!!!!!!!!!1

Step-by-step explanation:

Answer: What do you need help with? I think if you put out you will try and help.

Answer:

The number of horses that can eat 4 stacks of hay in 8 days = 56 horses

Step-by-step explanation:

The given parameters are;

The time it takes 16 horses to eat 5 stacks = 35 days

Therefore;

The time it takes 16 horses to eat 5/5 stacks (1 stack) = 35 days/5 = 7 days

The time it takes 16 horses to eat 1 stack of hay = 7 days

The time it takes 16 horses/16 to eat 1 stack of hay = 7 days × 16 = 112 days

Therefore;

The time it takes 1 horse to eat 1 stack of hay = 112 days

The time it takes 1 horse to eat 4 × 1 stack of hay = 112 days × 4 = 448 days

The time it takes 1 horse to eat 4 stacks of hay = 448 days

Therefore, given that (448 days)/(8 days/horse) = 56 horse, we have;

The number of horses that will eat 4 stacks of hay in 8 days = 56 horses.

Answer:

25 times larger

Step-by-step explanation:

hope this helped

Answer:

24/32

Step-by-step explanation:

just multiply the bottom number until 32 the as much times you multiplie the denominator that how much times you multiplie the numerator

Answer:

6:8 = 24:32

Step-by-step explanation:

Answer:

5.5 rings

Step-by-step explanation:

Now I don't really know if this is right but to get the answer we need to know how much ounces of gold the jeweler need to make a ring and that would be 7.7 ounces of gold. Than divide 42.35 ounce by 7.7 ounces which would get you 5.5 ounces. Hopefully this helped :)

Answer:

5 rings

Step-by-step explanation:

Hope this helps

Answer:

1=true

2=false

3=false

4=true

5=true

6=false

Step-by-step explanation:

hope this helps!:)

Answer:

The price of an adult ticket is $9 and the price of a student ticket is $6

Step-by-step explanation:

Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:

2x + 7y = 60

3x + 11y = 93

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:

6x + 21y = 180

-6x - 22y = -186

Add them together:

-y = -6

y = 6

Then, plug in 6 as y into one of the equations to solve for x:

2x + 7y = 60

2x + 7(6) = 60

2x + 42 = 60

2x = 18

x = 9

So, the price of an adult ticket is $9 and the price of a student ticket is $6

Answer:

F' would be (5,2)

G' would be (0,2)

H' would be (0,6)

hope this helps!

Answer:

x=5.7

Step-by-step explanation:

sin(35=x/10

Answer:

16ft tall and 24ft wide

Step-by-step explanation:

Answer:

16ft 24ft

Step-by-step explanation:

i got the same qestion and its correct.

Answer:

C. 13

Step-by-step explanation:

I hope u dont need work lol

Answer:

D. 169 units

Step-by-step explanation:

Answer:

a=-10

Step-by-step explanation:

y=2x+a ,at x=5

y=2(5)+a

y=10+a

where y=0

10+a=0

a= -10

Answer:

15 ft

Step-by-step explanation:

A=LxW

135 ft2 =m X 9ft

Divide 135 by 9

& that equals 15ft.

To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.

Answer:

7

Step-by-step explanation:

start by adding 3+ 11 in the parenthesis, that should give you 14. now you should have  7 + 14 over -5 + 8.  

-5 + 8 = 3  (another way to look at this problem is, 8 -5)

7+14 = 21

you should now have 21 over 3

to simplify this divide 21 by 3, this should give you 7  

Answer: 21 divided by 3

Step-by-step explanation:

If you solve the top and the bottom you get 21 for the top and 3 for the top and you can divide 21 by 3 and get 7. You can double check the math if you want, hope this helps!

Answer:might be wrong but the answer is C

Step-by-step explanation:

The Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

The Unit Rate is defined as means a rate for one of something, i.e. ratios of two quantities.

We have,

Minutes on the x-axis,

And,

Laps on the y-axis.

And,

A line goes through points (4, 3) and (8, 6),

x₁ = 4, x₂ = 8, y₁ = 3, y₂ = 6

Now,

So,

Unit rate for x₁ and  y₁,

i.e.

[tex]\frac{y_1}{x_1} =\frac{3}{4}=0.75[/tex]

Now,

Unit rate for x₂ and  y₂,

i.e.

[tex]\frac{y_2}{x_2} =\frac{6}{8}=0.75[/tex]

So,

The unit rate is 0.75 laps in one minute.

Hence, we can say that the Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

To know more about Unit Rate click here

https://brainly.com/question/15491469

#SPJ2

Answer:

24.584...

Step-by-step explanation:

2x4(6.5x9.5) power of 12

2x4 x 61.75 power of 12

2x4 x 3.073...

8 x 3.073...

24.584...

Answer:

4-3i

Step-by-step explanation:

Here, we want to select the option that best correlate

The real and the complex part can be represented as;

a + bi

In this case, a is the real, b is the complex

So we have that;

Real part 4 and imaginary coefficient of 3

That will be

4 -3i

Answer:b

Step-by-step explanation:

Answer:

the thie\rd one

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

it is 3/4 lol trust

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.

Rigid transformations are transformation that produces an image with the same size, shape and angle as the original object. Rigid transformations are translation, rotation and reflection.

Dilation is not a rigid transformation.

All the transformations attached are rigid transformations.

Answer:

18/18

Step-by-step explanation:

18 divided by 18 is one

Answer:

Step-by-step explanation:

-0.05 you will multiply with reversal of -5/16

-0.05 x (-16/5)= 0.01x16=0.16