look at this triangle
work out the length AB​

Answer:

I'm sorry if i'm wrong but i think Its 6.

Step-by-step explanation:

Answer:

42 I believe

Step-by-step explanation:

They way I think about it is if you think about one girl there are 6 other girls around her and so on. So 6 times 7 is 42

But it could be a trick question and it only be 7, because a circle doesn't have a definite start place like a line

Answer:

Step-by-step explanation:

Okay, so the point-slope form is  

(y - y1) = m(x - x1)  

Where m = the slope of the line

and where (x1, y1) is a point on the line

So, if the slope is 6, then m = 6

Now, you plug that and the point (4, -9) into the equation above.

(y -(-9)) = 6(x - 4)

y + 9 = 6(x - 4)

This is the point slope form of the line

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

Answer:

x = 7

Step-by-step explanation:

Given that,

x varies inversely as v.

When v = 3, x = 35.

We need to find x when v = 15

ATQ,

\(x=\dfrac{k}{v}\)

Put v = 3, x = 35,

\(k=3\times 35\\\\k=105\)

Now put v = 15 and k = 105

\(x=\dfrac{105}{15}\\\\x=7\)

So, the required value of x is equal to 7.

The equation of the ellipse that has the center at (0, 0) the vertex at (-8, 0), and the covertex at (0, 4) is; \(\frac{x^2}{64} + \frac{y^2}{16} = 1\)

The standard form of the equation of an ellipse is as follows;

\(\frac{x^2}{a^2} + \frac{y^2}{b^2}=1\)

Where;

a = The semi major axis

b = The semi minor axis

The semi major axis is the distance from the center of the ellipse to the vertex, and the semi minor axis is the distance from the center to the co-vertex.

The coordinate of the center of the ellipse = (0, 0)

The coordinates of the vertex = (-8, 0)

The coordinates of the co-vertex = (0, -4)

The ellipse has an horizontal major axis, therefore;

a = |0 - (-8)| = 8, and b = |0 - 4| = 4

The equation of the ellipse is therefore;

\(\frac{x^2}{8^2} + \frac{y^2}{4^2}=\frac{x^2}{64} + \frac{y^2}{16} = 1\)

\(\frac{x^2}{64} + \frac{y^2}{16} = 1\)

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Answer:

Step-by-step explanation:

HOPE IT HELPS

(FROM CROSS)

Answer:

yey

Step-by-step explanation:

At the relative extremum

What is a relative extremum?

A relative extremum is a relative minimum or maximum of a function.

Since the function F(x) = 2ax² + bx + 3 has a relative extremum at the point (-1,2). This implies that dF(x)/dx = 0 at the extremum.

So, F(x) = 2ax² + bx + 3

dF(x)/dx = d(2ax² + bx + 3)/dx

= d2ax²/dx + dbx/dx + d3/dx

= 4ax + b

dF(x)/dx = 0

⇒ 4ax + b = 0

⇒b = -4ax at x = -1

b = -4a(-1)

= 4a

Since the function F(x) = 2ax² + bx + 3 has a relative extremum at the point (-1,2), we have that

F(-1) = 2a(-1)² + b(-1) + 3

= 2a - b + 3

F(-1) = 2

⇒2a - b + 3 = 2

⇒2a - b = 2 - 3

2a - b = -1

Now, b = 4a

So,  substituting b into the equation, we have that

2a - b = -1

2a - 4a = -1

-2a = -1

a = -1/-2

a = 1/2

So, b = 4a

= 4(1/2)

= 2

So,

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Answer:

16/15 or 1  1/15

Step-by-step explanation:

4/5 divided by 3/4

Flip 3/4 so it is 4/3

Multiply 4/5 by 4/3

16/15

The value of x is 9

Given the equation:

Multiply both sides by 2(x-8)

Divide both sides by 8

Finally, add 8 to both sides

Answer:

Step-by-step explanation:

(-3, 5) and (4, -5)

(-5 - 5)/(4 + 3) = -10/7

y - 5 = 10/7(x + 3)

y - 5 = 10/7x + 30/7

y - 35/7 = 10/7x + 30/7

y = 10/7x + 65/7 is the equation

Area of the composite figure = 361.25cm²

The composite figure consists of a cone and semicircle

Area of the semicircle = 0.5πr²

The diameter of the semicircle = 18 cm

The radius, r = diameter/2

r = 18/2

r = 9 cm

Area of the semicircle = 0.5πr²

Area of the semicircle = 0.5 x 3.142 x 9²

Area of the semicircle = 127.25cm²

Area of the triangle = 0.5 x base x height

Area of the triangle = 0.5 x 18 x 26

Area of the triangle = 234 cm²

Area of the composite figure = Area of the semicircle + Area of the triangle

Area of the composite figure = 127.25cm² + 234 cm²

Area of the composite figure = 361.25cm²

Notice that we have the following measures for some sides of the figure:

Now, notice the right triangle that we get from the line that passes through A and B, it has sides 2 and 4,then we can find the missing side using the pythagorean theorem:

now that we have that c = 2*sqrt(5), we can find the perimeter:

therefore, the perimeter of the figure is P = 16.9

Answer:

Step-by-step explanation:

\(\frac{3}{n}\) - 10.

The quotient of 3 and a number translates to \(\frac{3}{n}\), then, all you have to do is subtract 10 from that value, giving the expression above.

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

Answer:credit to gail2104lp42 but its 4/3 i think

Step-by-step explanation:

Answer:

JL = 166 units

Step-by-step explanation:

Given that,

JL = 9x - 5, LR = 7x - 2, and JR = 35

Let us assume that, R is the midpoint of J and L. So,

JL = JR + RL

Putting all the values,

9x - 5 =35 + 7x - 2

Taking like terms together as follows :

9x-7x = 33 + 5

2x = 38

x = 19

Put the value of x inm, JL = 9x-5

JL = 9(19)-5

JL = 166

The value of JL is 166 units.

Answer:

x = 2

Step-by-step explanation:

8 = 6x + -2x

8 = 4x

8 = 4x

4 4

2 = x

do not know because my brain cant focus on this sorry :/

Answer: C

Step-by-step explanation:

Linear Decay  is the equation .

What is Linear Decay?

Is linear decay exponential?

Scientists are studying the growth of a particular virus in a large community.

The case count, C, in the community after d days can be modeled with the equation: C = 181(1.07)d

This equation is showing Linear Decay .

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Answer:

\(209.43 \: \: {units}^{3} \)

Step-by-step explanation:

\(v = \pi {r}^{2} \frac{h}{3} \\ = \pi \times {5}^{2} \times \frac{8}{3} \\ = 209.439\)

Answer:

$886.47

Step-by-step explanation:

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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Answer:

-1.7 or 1 7/10

Step-by-step explanation:

Conversion a mixed number to a improper fraction: 2 1/8 = 2 · 8 + 1

8

= 17

8

Unary minus: -17

8

Conversion a mixed number to a improper fraction: 1 1/4 = 1 · 4 + 1

4

= 5

4

Divide: -17

8

: 5

4

= -17

8

· 4

5

= -17 · 4

8 · 5

= -68

40

= -17

10

To divide one fraction by another, invert the second fraction, then multiply.

Answer:

C

Step-by-step explanation:

For example, if a is equal to 2.

\( \sqrt{2} {}^{2} = 2\)

The answer is still the given number a.

The solution of the expression √a² is,

⇒ a

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ √a²

Where, 'a' is nonnegative real number.

Now, We can simplify as;

⇒ √a²

⇒ √ a × a

⇒ a

Thus,  The solution of the expression √a² is,

⇒ a

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Answer:

\(t = \frac{3sr}{2a \ + \ 5s}\)

Step-by-step explanation:

Given expression;

\(S = \frac{2at}{3r - 5t}\)

To make "t" the subject of the formula, cross and multiply;

\(S(3r - 5t) = 2at\\\\\)

open the bracket;

3sr - 5st = 2at

collect like terms together;

3sr = 2at + 5st

Factor out "t" on the right hand side;

3sr = t(2a + 5s)

Finally, make "t" the subject of the formula by dividing both sides by (2a + 5s).

\(t = \frac{3sr}{2a \ + \ 5s}\)

The measure of the variable 'b' from the line is 11

Collinear points are points that lies on the same straight line. From the given diagram:

XY = YZ  (since Y is the midpoint of XZ)

where:

XY = 2b + 7

YZ = 3b - 4

Substitute the given parameters to have:

2b + 7 = 3b - 4

2b - 3b = -4 - 7

-b = -11

b = 11

Hence the measure of the value of b from the line is 11

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The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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Answer:

False

Step-by-step explanation:

This is all I can think of.

Multiply two matrices and obtain the identity matrix, it can be assumed the matrices are inverses of one another. so, this statement is true.

Inverse of matrix is a matrix derived from another matrix such that if you multiply the two you get a unit matrix. Square matrices with a an inverse are called non singular matrices while those without an inverse are called singular matrices (determinant is zero). Inverses and determinant are only calculated for square matrices.

Two matrices are said to be inverse of each other.

If A B = B A = I, where I is the identity matrix.

So, the matrices are inverses of one another if the product of two square matrices is the identity matrix.

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)