What is the area of a triangle whose vertices are J(-2, 1), K(0, 3), and L(4,4)?

Answer:

$ 30, 021.39

Step-by-step explanation:

3759( 1 + .11875/12 )^(211)  = 30, 021.39

Answer:

4

Step-by-step explanation:

The figure can be split into 2 triangles, the larger one is the whole figure with base 18 and height 9. while the other small triangle has base 8 and height h. Since they are both right angled triangles with a shared angle, they are similar.

With similar triangles, we get the ratio of base : height = 8 : 8+10 = h : 9

Hence, 8 : 18 can be simplified to 4 : 9, which is also equal to h : 9. From here, we get h = 4.

Answer:

4

Step-by-step explanation:

The figure can be split into 2 triangles, the larger one is the whole figure with base 18 and height 9. while the other small triangle has base 8 and height h. Since they are both right angled triangles with a shared angle, they are similar.

Answer:

J(-9,-5)

K(-9,3)

L(0,-2)

M(0,-5)

Answer:

B)  2.19 %

Step-by-step explanation:

The rule of 70 is used to estimate the time (in years) it takes for an investment to double.

Rule of 70 Formula

[tex]\textsf{Number of Years to Double}=\sf \dfrac{70}{\textsf{Annual Growth Rate}}[/tex]

Given:

Substituting this into the formula and solving

[tex]\implies \sf 32=\sf \dfrac{70}{\textsf{Annual Growth Rate}}[/tex]

[tex]\implies \textsf{Annual Growth Rate}=\sf \dfrac{70}{32}[/tex]

[tex]\implies \textsf{Annual Growth Rate}=\sf 2.1875[/tex]

[tex]\implies \textsf{Annual Growth Rate}=\sf 2.19 \% \: (nearest\:hundredth)[/tex]

Answer:

I think it is B

Step-by-step explanation:

hope it will help you

Step-by-step explanation:

A. AT1,2).B1.0).C'(4.0).D*(4,2)

your answer

Answer: 31.0

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

Answer: the square root of 54 x IDC x i don't even want to help x haha no help for you x points for me not you

Step-by-step explanation:

The interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Leah is going to invest P=$30,000 and leave it in an account for t=7 years.

Put the values in the above formula to find rate of interest.

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\40000=30000\times\left(1+\dfrac{r}{12\times30\times100}\right)^{12\times30\times(7)}\\r=4.11 \5[/tex]

Thus, the interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.

Learn more about the compound interest here;

https://brainly.com/question/24274034

#SPJ1

The regression line is y = 10x + 125, and the value of calories is 135, and when x = 12 the value of y = 245 from the regression line, butbut the actual value is 225.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dot's relationship.

Here the scatter plot is not given, but we can draw the scatter plot using the data which is given with two variables such as (x, y) and the line which is best fit of the given data.

From the data given, we can write the line of best fit in slope and y-intercept form:

y = mx + b

Plug m = 10 and b = 125

y = 10x + 125

The number of fat grams in an item having that number of fat calories.

As we have the regression line:

y = 10x + 125

Put x = 1 in the regression line:

y = 10(1) + 125

y = 135 calories

For x = 12

y = 10(12)+125 = 245

But the actual value from the graph is 225.

Thus, the regression line is y = 10x + 125, and the value of calories is 135, and when x = 12 the value of y = 245 from the regression line, but but the actual value is 225.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

Answer: B) 0

[tex]\rightarrow \sf y = \dfrac{1}{2} x - 2[/tex]

insert x = 4

[tex]\rightarrow \sf y = \dfrac{1}{2} (4) - 2[/tex]

simplify

[tex]\rightarrow \sf y = 2 - 2[/tex]

subtract

[tex]\rightarrow \sf y = 0[/tex]

Answer:

[tex] \sqrt{32 \div 2 = } 82 \\ [/tex]

Answer:

Step-by-step explanation:

15^2 - 12^2 = a^2

225 - 144 = 81

a^2 = 81

a=9

Answer:

( x-7)^2+(y-6)^2 = 25

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

( x-7)^2+(y-6)^2 = 5^2

( x-7)^2+(y-6)^2 = 25

Answer:

(x-7)^2+(y-6)^2=25

Explanation:

If I were you, I would mark 7 as x and 6 as y. Whatever is in your parenthesis for center of the circle, do the opposite in your equation. Since you have positive 7 & positive 6, turn those into negative numbers for your equation. And for the radius, just times it two times. So 5•5=25

Expression represents the radius of the cylinder, 2x units.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

Given that:

Volume of cylinder =[tex]4\pi x^{3}[/tex]

we know that, Volume of cylinder = [tex]\pi r^{2} h[/tex]

[tex]4\pi x^{3}[/tex]= π * [tex]r^{2}[/tex] *h

[tex]4x^{3} = r^{2}*h[/tex]

[tex]4x^{3} = r^{2}*x[/tex]      [since, height=x]

[tex]4x^{2} = r^{2}[/tex]

r= 2x

Hence the radius of the cylinder is 2x units

Learn more cylinder here:

brainly.com/question/16788902

#SPJ1

Answer:

∠ EDF = 23°

Step-by-step explanation:

angles on the circumference of a circle ( inscribed angles) subtended by the same arc are congruent.

∠ FGE and ∠ EDF are inscribed angles subtended by arc EF

then ∠ EDF = ∠ FGE = 23°

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The size of ∠EDF is 23°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

As it is known that the angles made from the same chord in a circle are of equal measurement.

Since EF is the chord of the circle and the measure of ∠EGF is 23°, the measure of ∠EDF will be 23° as well.

Hence,  the size of ∠EDF is 23°.

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ2

Answer:

i got 17.4km/H pretty sure im right

Answer:

    27. (4) 4 in

    28. (2) 13

Step-by-step explanation:

Question 27

Question 28

Answer:

2

Step-by-step explanation:

2x -4= 0

2x-4+4=0

2x=0+4

2x=4

2x/2=4/2

x=2

Answer:

The integers are 2.

Step-by-step explanation:

Answer: 3 and 6

Step-by-step explanation:

3+6=9

3x6=18

Step-by-step explanation:

2x + 18

x = 18÷2

x=9

hence the answer is 9

Associative property

Multiplication properties are different statements that are always true. These statements help prove that different operations can be performed on equations and still remain equal.

Associative Property

The associative property states that (a x b) x c = a x (b x c). This means that in any equation where only multiplication is present, the parentheses can be moved and the equation remains equal.

Other Examples

The associative property is always true; this means that we can create other examples.

Let's take the expression 4 x (2 x 9). As the property states, we can move the parentheses and create the new expression (4 x 2) x 9. Now we can set these expressions equal to each other.

Due to the property we know that this equation must be true.

We can prove this property by working out each side of the equation. If we multiple both sides out we are left with 72 = 72. Since this is true the equation above must also be true.

Answer:

Step-by-step explanation:

It's called The Associative Property of Multiplication

(a * b) * c = a * (b * c)

Answer:

B.3x+8=66

Step-by-step explanation:

i think ito po Ang answer hehehe

Part A

x = some unknown number

x+8 = add on 8 to the number

3(x+8) = triple the previous result

Therefore, one equation to set up is 3(x+8) = 66

This is the same as 3x+24 = 66 because 3(x+8) = 3x+3*8 = 3x+24. Use the distributive property to multiply that outer 3 to each term inside.

C)  3x+24 = 66

D)   3(x+8) = 66

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

Part B

Let's solve for x. I'll show the steps for each equation mentioned. When you write out the steps, you probably only need to pick one equation to solve.

3(x+8) = 66

x+8 = 66/3

x+8 = 22

x = 22-8

x = 14

Or

3x+24 = 66

3x = 66-24

3x = 42

x = 42/3

x = 14

Either way, we get the same x value. To confirm this answer, replace x with 14 in either equation and simplify fully. You should get 66 on both sides.

Answer:

P = 12 + 2π cm

Step-by-step explanation:

arc length is calculated as

arc = circumference × fraction of circle

the angle subtended at the centre of the sector = 360° - 300° = 60° , then

arc = 2πr × [tex]\frac{60}{360}[/tex]

      = 2π × 6 × [tex]\frac{1}{6}[/tex]

      = 2π

the perimeter (P) = 6 + 6 + 2π = 12 + 2π

---Divide the numerator and denominator by 4. We do this because we want to know how many orders are in 1 day and 4 / 4 = 1.

392 orders / 4 days

98 orders / 1 day

Hope this helps!

One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. The afternoon temperature in Bangor, Maine, was -2 degrees.

To find the afternoon temperature, we need to subtract 20 degrees from the morning temperature of 18 degrees.

Afternoon temperature = Morning temperature - Temperature drop

Afternoon temperature = 18 degrees - 20 degrees

To perform the subtraction, we have to handle negative numbers:

Afternoon temperature = 18 degrees - 20 degrees

Afternoon temperature = -2 degrees

So, the afternoon temperature in Bangor, Maine, was -2 degrees.

To know more about  temperature here

https://brainly.com/question/27944554

#SPJ2

The visitor data is best modeled by a quadratic function, and the state park management should plan for more than 400 visitors next year.

To do this, we simply plot the points on a graph.

See attachment for the graph that represents the table.

From the attached graph, we can see that the points on the graph follows an approximately quadratic path

Hence, the visitor data is best modeled by a quadratic function

Also, the state park management should plan for more than 400 visitors next year.

This is so because the range of a quadratic function is the set of all real numbers.

This means that the table can accept a value of 400 (or greater) as one of its data points

Read more about regression equations at:

https://brainly.com/question/732489

#SPJ1

Using geometric sequence concepts, it is found that:

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

As a function of the mth term, the nth term is given by:

[tex]a_n = a_mq^{n - m}[/tex]

Hence, considering the 8th and the 11th term, the common ratio is found as follows:

[tex]a_{11} = a_8q^3[/tex]

[tex]32q^3 = 256[/tex]

[tex]q^3 = 8[/tex]

q = 2.

Then, considering the 11th term and the common ratio, the 13th term is given as follows:

[tex]a_{13} = a_{11}q^2 = 256 \times 2^2 = 1024[/tex]

More can be learned about geometric sequences at https://brainly.com/question/11847927

#SPJ1

Answer:

See below

Step-by-step explanation:

each term is the sum of the two before it

2 3 5 8 13 21 34