Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answer:

- 1.5

Step-by-step explanation:

Given points

( x1 , y1 ) = ( 4 , - 5 )

( x2 , y2 ) = ( - 2 , 4 )

Now

Slope (m)

= ( y2 - y1 ) / ( x2 - x1 )

= ( 4 + 5 ) / ( - 2 - 4 )

= 9 / - 6

= -1.5

Hope it will help :)❤

Answer:

[tex]\boxed {\boxed {\sf 19.625 \ ft^2}}[/tex]

Step-by-step explanation:

The area of a circle is found using this formula:

[tex]a= \pi r^2[/tex]

We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.

We know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.

[tex]a= (3.14)* (2.5 \ ft)^2[/tex]

Solve the exponent.

[tex]a= (3.14)*(6.25 \ ft^2)[/tex]

Multiply.

[tex]a=19.625 \ ft^2[/tex]

The area of the circle is 19.625 square feet.

Answer:

64

Step-by-step explanation:

64/4=16

Answer:

The 2nd and the 4thᕕ( ᐛ )ᕗ

Answer:

the second [2ǹd] & the fourth [4th]

Answer:

B

Step-by-step explanation:

The x component must be positive (3)

Answer:

i think b

Step-by-step explanation:

Answer:

probability: 0.44

The probability that a student chosen at random will be 16 or older is 0.44 or 44%.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability that a student chosen at random will be 16 or older is the sum of the probabilities of selecting a 16-year-old or older student.

P(16 or older) = P(16) + P(17) + P(18)

P(16 or older) = 0.28 + 0.15 + 0.01

P(16 or older) = 0.44

Therefore, the probability that a student chosen at random will be 16 or older is 0.44 or 44%.

Learn more about probability here:

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Answer:

x = 14

Yes, the form a Pythagorean triple.

Step-by-step explanation:

50^2 - 48^2 = x^2

196 = x^2

x=14

Answer:

The magnitude of the number is of 26.

Step-by-step explanation:

Magnitude of a complex number:

A complex number has the following format: a + bi

In which a is the real coefficient and b is the imaginary coefficient.

The magnitude of the number is:

[tex]\sqrt{a^2+b^2}[/tex]

What is the magnitude of -10 + 24i?

For this number, a = -10, b = 24. So

[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]

The magnitude of the number is of 26.

Answer: 16

Step-by-step explanation:

Let the number of candy Ed took be denoted as "x"

Since Joe ate twice the amount of candy Ed ate, then the number of candies joe ate will be denoted as "2x"

Since all together they ate a total of 48 candies, then the sum of the candies eaten by Joe and Ed is what gives a total of 48

This means:

2x + x = 48

3x = 48

X = 16.

Answer:

equal to 2

Step-by-step explanation:

50% is the same as 1/2 of 4

Answer: what is the answer

Step-by-step explanation:

Answer:

50 yards

Step-by-step explanation:

Answer: 96yd²

Step-by-step explanation:

Multiply:

Larger Rectangle: 16 * 8 = 128ft²

Smaller Rectangle: 8 * 4 = 32ft²

Subtract both your solutions:

128 - 32 = 96ft²

Final Answer:

96ft²

Hope this helped! :)

Answer:

Step-by-step explanation:

the 2nd choice looks good Emily

y > x

y > x+2

y>x and y>x+2 is the  systems of inequalities describes the shaded region in the graph below.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade.

If the symbol ≥ or > is used, shade above the line.

If the symbol ≤ or < is used shade below the line.

y>x and y>x+2 is the inequality describes the shaded region in the graph below as it is greater.

Hence, y>x and y>x+2 is the  systems of inequalities describes the shaded region in the graph below.

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Answer:

Step-by-step explanation:

fog(x)=f(g(x)) =f(x+2) =3⋅(x+2) =3x+6

gof(x)=g(f(x))=g(3x) =3x+2

gof(2)=3⋅2+2 =6+2 =8

fog(2)=3⋅(2+2) =3*2+6=12

Answer:

45

Step-by-step explanation:

9 x 5 = 45

45 / 9 = 5

45 is the answer!

Answer:

Graph II

Step-by-step explanation:

graph Ii is the answer

Answer:

0.4 pi

Step-by-step explanation:

find the circumference by doing 2 pi r

then you multiply that by a slice of the circle which is 72 degrees divided by 360.

Answer:

y = 5 x + ln ( x − 2 )

Answer:

[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]

Answer:

a) 14

b) 7/45

Step-by-step explanation:

a) 12 are male and studied chemistry

b) There are 14 male Biologists and 90 in total which is 14/90 which = 7/45

(I'm not 100% sure but if I'm wrong I'm very sorry)

I read the question wrong 3 times I'm blind

Answer:

2π ft²

Step-by-step explanation:

Circle Area:

A = πr²

A = π × (4 ft)²

A = 16π ft²

Sector Area:

A = (45°)/(360°) × 16π ft²

A = 2π ft²

Answer:

1231 ft

Step-by-step explanation:

Draw a right triangle. Label the height of the triangle. as 800 since the height of the triangle represents the height of the helicopter above the coast of the island. Label the base length of the triangle as d to represent the distance between the coast of the island and the coast of the mainland, P. The angle of depression from the helicopter to point P is 33° so draw a horizontal dotted line at the location of the helicopter and label the angle made by the horizontal line and the hypotenuse of the right triangle as 33°. The angle of elevation from P to the helicopter and the angle of depression from the helicopter to point P are congruent alternate interior angles so label the angle at P as 33°.  

The side labeled 800 is opposite of P and the side labeled d is adjacent to P so you can use tangent to write an equation. Solve this equation for d and round to the nearest whole number.

Answer:

x=-1

Step-by-step explanation:

multiplique el paréntesis por -6

10x-6+18x-12x+24=2

agripe los términos semejantes

16x-6+24=2  ......   16x+18=2

mueva la constante al lado derecho y cambie su signo

16x=2-18

calcula la diferencia

16x=-16

divida ambos lados de la ecuación entre 16

x=-1

The linear inequality that represents the graph is: [tex]y \le \frac 23x + \frac 15[/tex]

The line of the inequality passes through the points:

(0,0.2) and (3,2.2)

So, the slope of the line is:

[tex]m = \frac{2.2 - 0.2}{3 - 0}[/tex]

[tex]m = \frac{2}{3 }[/tex]

The equation is then calculated as:

[tex]y =mx + c[/tex]

Where c represents the value of y, when x = 0.

So, we have:

[tex]y =\frac 23x + 0.2[/tex]

Rewrite as:

[tex]y =\frac 23x + \frac 15[/tex]

The down region is shaded, and the line is a closed line.

So, the inequality is:

[tex]y \le \frac 23x + \frac 15[/tex]

Read more about inequalities at:

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Answer:

The Bell Boeing V-22 Osprey is an American multi-mission, tiltrotor military aircraft ... However, the V-22 is generally not capable of hovering on one engine.