A right triangle has a leg of 11 and a hypotenuse of 16. Find the missing leg (in simplest radical form)

Answer:

The point (0, 6.7) is the point where the ball was launched.

Step-by-step explanation:

The ball was launched from a point 6.7 feet from ground level.

In this scenario (ball tossed toward the goal), the constant  c  at the end of the function formula gives you the initial position (height).

Answer:

the y-int is at the point (0,3)

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

f(x)=x²+2x+3

x=0

f(0)=0²+2×0+3

f(0)=3

y=3

(0,3)

Answer:

[tex]595.54[/tex]

Step-by-step explanation:

The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].

Substituting given values, we have:

[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]

Answer:

if you use the Pythagorean theorem to solve for p or x or the unknown variable, it will be 12=p

Answer:

Step-by-step explanation:

a= -3, b=17, c= -20, use the calculator

or

a=3, b= -17, c= 20

Step-by-step explanation:

V = l.W.H

3(5)(4) = 60 units

The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.

Given that, we need to determine the correct calculation for the volume of the prism,

We know that, the volume of a rectangular prism is the  product of its dimensions = length x width x height

Therefore, the correct formula is 3(5)(4) = 60 units

Hence, the correct option is 3(5)(4) = 60 units

Learn more about volumes, click;

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Answer:

60

27.5

9.5

Step-by-step explanation:

Recall that: D/2 = r

Therefore 120cm÷2 = 60cm

35m÷2 = 27.5m

19km÷2 = 9.5km

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

the answer is C. (x+9)(x-5)

Answer:

The answer is C :)

Step-by-step explanation:

Answer:

141.3 km

Step-by-step explanation:

First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;

Second crater radius is C = 2(pi)(30 km) = 188.4 km

The circumference of the complex (larger) impact crater is

(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:

141.3 km

Answer:

I recommend trying this it explains it and gives you the answer

Answer:

It will take Janice 48 minutes to run 4 miles.

Step-by-step explanation:

She is running 1 mile every twelve minutes, so 4*12 will give you the answer, which is 48 minutes.

Answer:

x^2+x+3=0

Step-by-step explanation:

x=-(1+√1-12)/2

Answer:

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

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6\}[/tex] --- the faces of the dice

[tex]n(S) = 6[/tex]

Required

Pr(Multiple of 8)

The multiples of 8 in the given dataset are:

[tex]Multiples = \{1.,2,4\}[/tex]

[tex]n(Multiples) = 3[/tex]

So, we have:

[tex]Pr = \frac{n(Multiples)}{n(S)}[/tex]

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

Simplify

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

Answer:

Step-by-step explanation:Here's li[tex]^{}[/tex]nk tly/3fcEdSxo the answer:

bit.[tex]^{}[/tex]

Answer:

It's B

Step-by-step explanation:

B makes the most sense to me

Step-by-step explanation:

5x+5+79+11x=180°{sum of angle of triangle}

16x+84=180°

x=96/16

x=6

now angle A=5x+5

Answer:

5x+5+11x=180-79

16x=101-5

16x=96

x=6

Measure of angle A=5x+5

=(5×6)+5

=35

Answer:

it will decrease

Step-by-step explanation:

if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down

Answer:

It will decrease

Step-by-step explanation:

There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.

I think this is the answer.

Answer:

the answer is No

Step-by-step explanation:

he needs $800 yet he only has $650, he will need $150 more

Answer:

D. 23/27

Step-by-step explanation:

The good news is, they wrote out all the possible options for you.

There are 27 possibilities in all, so that's our denominator.

They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.

Then, of the remaining 18, 14 include a W somewhere in there.

9 + 14 = 23 out of 27.

We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.

Please let me know if you have questions about this.

Answer:

[tex]y = 4x - 3\\Slope \ m_1 = 4[/tex]

EQUATION OF LINE PERPENDICULAR

[tex]Lines \ are \ perpendicular => m_1 \cdot m_2 = -1\\[/tex]

[tex]slope, m_2 = \frac{-1}{4}[/tex]

[tex]equation \ of \ the\ line \ passing \ through \ (-2, 2) \ slope ,m_2 :\\(y - y_2) =m_2(x - x_2)\\ (y - 2) = \frac{-1}{4} (x -(-2))\\\\y - 2 = \frac{-1}{4} (x +2)\\\\y = \frac{-1}{4}x - \frac{1}{2} + 2\\\\y = \frac{-1}{4}x + \frac{3}{2}[/tex]

EQUATION OF LINE PARALLEL

[tex]Lines \ are \ parallel => m_1 \cdot m_3 = 1\\slope, m_3 = \frac{1}{4}[/tex][tex]Equation \ of \ the \ line \ through \ (-2, 2) \ and \ slope, m_3:\\(y - y_3) =m_3(x - x_3)\\\\(y-2) = \frac{1}{4} (x - (-2))\\\\y-2 = \frac{1}{4}(x+2)\\\\y = \frac{1}{4}x + \frac{1}{2} +2\\\\y = \frac{1}{4}x + \frac{5}{2}[/tex]

Answer:

C.

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

17.50/2=8.75

8.75+2.50=11.25

17.50-11.25=6.25

Answer:

Toni has $7.50

Step-by-step explanation:

Tobi = x

Sabi = x + 2.5

x + x +  2.5 = 17.5

2x + 2.5 = 17.5

2x = 15

x = 7.5

Answer:

The median is 8

Step-by-step explanation:

Hope this helps

9514 1404 393

9514 1404 393

Answer:

  a)  P = -28(x -112)² +7500

  b) $102.55 or $121.45

Step-by-step explanation:

a) A quadratic relation with a maximum of 7500 at x=112 can be written in vertex form as ...

  P = a(x -112)² +7500

The other given point (x, P) = (89, -7312) can be used to find the value of 'a'.

  -7312 = a(89 -112)² +7500

  -14812 = a(529)

  a = -14812/529 = -28

So, the desired quadratic relation is ...

  P = -28(x -112)² +7500

__

b) The values of x that make P = 5000 can be found from ...

  5000 = -28(x -112)² +7500

  -2500 = -28(x -112)² . . . . . . . . subtract 7500

  89.286 = (x -112)² . . . . . . . . . . . divide by -28

  ±9.45 = x -112 . . . . . . . . . . take the square root

  x = 112 ± 9.45 = {102.55, 121.45}

Setting the price at about $102.55, or $121.45, will yield a profit of $5000.

Answer:

To determine this simply multiply the values together to determine the final distance.

Step-by-step explanation:

The product of red blood cell diameter for a single blood cell multiplied by the number of red blood cells that are found within a person would enable you to find the total distance the cells would be if it were to be lined end to end.

Answer:

Step-by-step explanation:

(7 × 10^-6)(2 × 10^-13): Original Equation

(7 × 2)(10^-6 × 10^-13): Commutative Property of Multiplication (Just switched the numbers)

(14 × 10^-19): Simplify (Since you are multiplying numbers with exponents, just add the exponents: -6 +(-13) = -19)

Answer:

y = 300x + 2200

Step-by-step explanation:

y = 300x + 2200

Answer:

35%

Step-by-step explanation:

7/20 = 35%

Answer:

Step-by-step explanation:

7 /20  =  0.35  = 35%

Answer:

last option:  y = 1/6x+3; y = 1/2x+3

Step-by-step explanation:

6y = x + 18

Solve the above for 'y' to get:

y = 1/6x + 3

2y - x = 6

Solve the above for 'y' to get:

2y = x + 6

y = 1/2x + 3

Given:

The equation of parallel line is:

[tex]3x-2y=5[/tex]

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).​

To find:

The equation of required line.

Solution:

Midpoint of  line segment joining the points (-4,2) and (2,4) is:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]

[tex]Midpoint=\left(-1,3\right)[/tex]

It means the required line passes through the point (-1,3).

The slope of line [tex]Ax+By=C[/tex] is:

[tex]m=\dfrac{-A}{B}[/tex]

The given equation is:

[tex]3x-2y=5[/tex]

Here, A=3 and B=-2. So, the slope of the line is:

[tex]m=\dfrac{-3}{-2}[/tex]

[tex]m=1.5[/tex]

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=1.5(x-(-1))[/tex]

[tex]y-3=1.5(x+1)[/tex]

[tex]y-3=1.5x+1.5[/tex]

Adding 3 on both sides, we get

[tex]y=1.5x+1.5+3[/tex]

[tex]y=1.5x+4.5[/tex]

Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].