solve for K

k/2+1/2=3

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

==============================================================

Work Shown:

P = 37000 is the principal (aka amount loaned out)

r = 0.05 is the interest rate in decimal form

t = 6 is the number of years

n = 1 tells us we are compounding 1 time per year (aka annual compounding)

Those four values are plugged into the formula below and you use a calculator to simplify

A = P*(1+r/n)^(n*t)

A = 37000*(1+0.05/1)^(1*6)

A = 49583.538703125

A = 49583.54 is the full amount to pay back

Side note:

The amount of interest paid is A - P = 49583.54 - 37000 = 12583.54

Answer:

42

Step-by-step explanation:

Answer:

4425.7

Step-by-step explanation:

Answer:

He will have  $4425.69 in 4 years

Step-by-step explanation:

Notice that the principal p = $4253

The interest (1%) in mathematical terms is given by: 0.01

the time t = 4 years

therefore the formula for these values becomes:

[tex]B=p(1+r)^t\\B=4253\,(1+0.01)^4\\B=4253\,(1.01)^4\\B=4425.68885[/tex]

Which rounded to the decimal place gives:

$4425.69

Answer:

y=4x/5+5

Step-by-step explanation:

Points are (0,5)  and (-5,1)

(y-5)/(1-5)=x-0/[0-(-5)]

(y-5)/4=x/5

*5/5         *4/4

5(y-5)/20=4x/20

5y-25=4x

+25       +25

5y=4x+25

:5     :5

y=4/5*x+5

Answer:

Limit does not exist at x=3.

Step-by-step explanation:

Using the given graph, we need to check whether the limit exists or not.

From the given graph it is clear that

1. When x approaches to 3 from the left side then function approaches to -1.

2. When x approaches to 3 from the right side then function approaches to -3.

3. When x=3, the value of function is 7.

So, we conclude that

[tex]LHL=\lim\limits_{x\to 3^-}f(x)=-1[/tex]

[tex]RHL=\lim\limits_{x\to 3^+}f(x)=-3[/tex]

[tex]\lim\limits_{x\to 3}f(x)=7[/tex]

Since [tex]LHL\neq RHL[/tex], therefore the limit does not exist at x=3.

Answer:

x = 12    x= -12

Step-by-step explanation:

x^2-144=0

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(x-12) (x+12) =0

Using the zero product property

x-12= 0  x+12 =0

x = 12    x= -12

Answer:

x = 12 or x = -12

Answer:

path =2m

Step-by-step explanation:

Answer:

I believe the answer should be 2m

Answer:

The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.

Step-by-step explanation:

The statement indicates that section of the white corn is a portion within the corn section of the field. The statement can be interpreted as a multiplication of rational numbers. That is to say:

[tex]x = \frac{1}{4} \times \frac{3}{5}[/tex]

[tex]x = \frac{1 \times 3}{4 \times 5}[/tex]

[tex]x = \frac{3}{20}[/tex]

The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.

Answer:

Surface area of the red prism is 1344 m².

Step-by-step explanation:

Ratio of the sides of the rectangular prisms given in the picture

= [tex]\frac{\text{Length of the red prism}}{\text{Length of the blue prism}}[/tex]

= [tex]\frac{6}{3}[/tex]

= [tex]\frac{2}{1}[/tex]

Ratio of the surface area of both the solids = (Ratio of the sides)²

[tex]\frac{\text{Surface area of the red prism}}{\text{Surface area of the blue prism}}[/tex] = [tex](\frac{2}{1})^{2}[/tex]

[tex]\frac{x}{336}=\frac{4}{1}[/tex]

x = 4 × 336

x = 1344 square meter

Therefore, surface area of the red prism will be 1344 m².

Answer:

[tex] {x}^{3} [/tex]

Step-by-step explanation:

[tex]volume \: \: \: of \: \: \: a \: \: cube \\ = whl \\ = x \times x \times x \\ = {x}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

[tex]\text{Plug in 3 to y and solve:}\\\\4(3)^3-20+9(3)^2+(25 \div5)\\\\4(27)-20+9(3)^2+(25 \div5)\\\\4(27)-20+9(9)+(25 \div5)\\\\4(27)-20+9(9)+5\\\\108-20+81+5\\\\88+86\\\\174\\\\\boxed{\text{A). 174}}[/tex]

Answer:

A) 174

Step-by-step explanation:

I'm assuming 4y3 is 4y³ and 9y2 is 9y²

4×3³-20+9×3²+(25÷5)=

4×3³-20+9×3²+5=

4×27-20+9×9+5=

108-20+81+5=

88+81+5=

169+5=

174

A) 174

Answer:

2.B

Step-by-step explanation:

2.

Henry's container holds milk=200*7/8=175 ml

Answer:

X=5

Step-by-step explanation:

4/3-1/3=1

1  /   1/5x = 5

Answer:

1) 378.1 in²

2) 8.4 m²

Step-by-step explanation:

Area of sector= [tex] \frac{θ°}{360°} \times \pi {r}^{2} [/tex]

1) Area of sector

[tex] = \frac{150°}{360°} \times 3.14 \times {17}^{2} \\ = 378.1 \: in^{2} \\ (nearest \: tenth)[/tex]

2) Area of sector

[tex] \frac{60°}{360°} \times 3.14 \times {4}^{2} \\ = 8.4 \: m^{2} \\ (nearest \: tenth)[/tex]

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, [tex]h[/tex]  = 15 m

Radius of cylinder, [tex]r = z[/tex] m (Labelled as [tex]z[/tex])

Volume of cylinder, [tex]V = 1696.5\ m^{3}[/tex]

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

[tex]V = \pi r^{2} h[/tex]

Where [tex]r[/tex] is the radius of cylinder

[tex]h[/tex] is the height of cylinder

Putting the values of [tex]V, r \text{ and } h[/tex]:

[tex]1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m[/tex]

Hence, The missing dimension, radius = 6.00 m

Answer:

s = 1.1

Step-by-step explanation:

To solve this, we will need to begin by isolating the variable. Move s to one side, and constants to the other.

15.32 - 8.4s = -9.65 + 14.3s

Add 8.4s to both sides, and 9.65 to both sides, giving us:

24.97 = 22.7s

Dividing both sides by 22.7 results in:

s = 1.1

So the right answer is 1.1

look at the attached picture

hope it will help you

good luck on your assignment

Answer:

-4,3,0,4.8

Step-by-step explanation:

Answer giving from left to right starting from top left.

Explanation shown in the attachment for articulating the inequality sign.

Answer:

He drove 70 mph.

Step-by-step explanation:

You would divide 280 by 4.

Answer:

b) is correct 120π square units

Step-by-step explanation:

The sector that is not shaded froms a 300 degree angle. The area of that sector and its angle are proportional with the area of the entire circle and its angle, which is 360 degrees.

We start by computing the area of the circle. Since the radius is 12 units, then the area of the circle is 12² * π = 144π square units. Therefore, the area of the non shaded area is

144π * 300/360 = 120π square units

as option b) suggests.

Answer:

C. 120pi units^2

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

Let the angke be x

Its supplementary angle = 180 - x

Given:

x = 180 - x + 86

2x = 266

x = 133⁰

The one angle = 133⁰

The other angle = 180⁰ - 133⁰ = 47⁰

The measures of each angle are 86° and 94°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Let ∠A and ∠B are the supplementary angles.

According to the question,

The Sum of the angle measure,

∠A + ∠B = 180°

∠A + 86° = 180°

∠A = 180° - 86°

∠A = 94°.

Therefore, 86° and 94° are the measure of each angle.

To learn more about the angle measure;

brainly.com/question/14684647

#SPJ2

Answer: The sum of five times a number and seven is greater or equal to two

Step-by-step explanation:

Hi, to answer this question we have to analyze the expression given:

5x is a multiplication, in this case five times the number x.

The symbol + represents a sum of two numbers.

≥ means greater or equal to ( left to right)

The sum of five times a number and seven is greater or equal to two

Feel free to ask for more if needed or if you did not understand something.

Answer:

Endpoint A (10,2)

Step-by-step explanation:

                A(x,y)

Endpoint (-2,-2)

Midpoint (4,0)

(-2+x)/2=4,  -2+x=8,  x=8+2,x=10

(-2+y)/2=0, -2+y=0,y=2

so A (10,2)

Answer:

c & d

Step-by-step explanation:

Answer:

it will take her family 12 minutes

Step-by-step explanation:

i hope this helps

Answer:

quadratic

Step-by-step explanation:

just took it on edge

Answer:

Step-by-step explanation:

Givens

From these statements, we can deduce algebraical expressions to solve the problem. Let's call [tex]q[/tex] quarters, [tex]n[/tex] nickels and [tex]d[/tex] dimes.

[tex]q=n+8[/tex] (8 more quarters than nickels)

[tex]d=4n[/tex] (he has four times as many dimes as he has nickels).

[tex]0.25q+0.05n+0.10d=5.50[/tex] (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

[tex]0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5[/tex]

There are 5 nickels.

Now, we use this value to find the number of quarters

[tex]q=5+8=13[/tex]

There are 13 quarters.

Also, [tex]d=4(5)=20[/tex]

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

Answer:

8 x 12 = 96!

Step-by-step explanation:

It is the same as 8 x 12, which would have the answer of 96.

Answer:

163°

...............

Answer:

163

Step-by-step explanation:

Answer:

Step-by-step explanation:

If x and y are proportional, it means that the ratio of x to y will always be constant value for each of the given ratios. Each ratio would be simplified by converting to decimals. Considering and converting each of the given ratios to decimal, it becomes

3.25/2.5 = 1.3

5.98/4.6 = 1.3

6.76/5.2 = 1.3

The constant value from the given ratios is always 1.3. Therefore, we can conclude that x and y are proportional.