In the diagram below, the lifeguard is 5 ft. tall while sitting and the angle of elevation from the man on the diving board to the lifeguard (angle 2) is 20. How far apart are the two men? Round your answer to the nearest tenth.

1. 22.1 ft
2. 14.2 ft
3. 12.9 ft
4. 13.7 ft

Answer:

Your answer is 0.25

Step-by-step explanation:

Dont give me the brainiest give the other person the brainiest

9514 1404 393

Explanation:

The standard form of a quadratic function and the formula for finding its zeros are shown here:

  [tex]f(x)=ax^2+bx+c \qquad\text{standard form of a quadratic function}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \qquad\text{formula for finding $x$ such that $f(x)=0$}[/tex]

Answer:

The restaurant ordered 28 gallons of milk.

Step-by-step explanation:

We have 4 quarts in 1 gallon:

[tex] \frac{1 G}{4 Q} [/tex]

Since the restaurant orders 112 quarts we have:

[tex] \frac{1 G}{4 Q}*112 Q = 28 G [/tex]              

Hence, the restaurant ordered 28 gallons of milk.

I hope it helps you!                                                                  

Answer:

a)  Red marble:  6/17

b) Green marble: 11/17

c) Purple marble : 0/17 = 0

d) a red or a green marble: 1

Step-by-step explanation:

Number of marbles: 17

Probability to pick one red marble: (# successes) / (# total) = 6/17

Probability to pick a green marble: (# successes) / (# total) = 11/17

Probability to pick a purple marble: (# successes) / (# total) = 0/17 = 0

Probability to pick a green marble or a red marble: Prob one green + prob one red = 11/17 + 6/17 = 17/17 = 1

Answer:

X < -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x+2>11

-3x-2>11-2

-3x>9

Divide by -3 on both sides

X>-3

Answer:

Option A

Step-by-step explanation:

Domain of a function is a set of x-values (input values).

Range of a function is a set of y-values (output values).

Since, input and output values of the function given in the graph vary from negative infinity to positive infinity

Domain of the function given in the graph will be,

(-∞, ∞)

And range of the function is,

(-∞, ∞)

Option (A) will be the correct option.

Answer:

22

Step-by-step explanation:

12+(8/(2/3)-2

22

Answer:

22

Step-by-step explanation:

First divide 8 by 2/3 ( since it’s in parentheses) and that gives you 12. Then add 12 + the 12 that was in parentheses. That leaves you with 24-2 which equals 22.

Answer:

C. Either- The hats have equal volumes

Answer:

the answer is c becaus it id the longes tone

Step-by-step explanation:

Answer:

I believe the answer is B.

sorry if i'm wrong .-.

Step-by-step explanation:

Answer:

Equation 1: 14t + 61s = 150

Equation 2: 14t + 25s = 78

Use Elimination (x)

(-1) (14t + 25s) = (78) (-1)

-14t - 25s = -78

14t + 61s = 150

+ -14t - 25s = -78

--------------------------

36s = 72

s = 2

Salad costs $2

Then find t

14t + 61(2) = 150

14t + 122 = 150

14t = 28

t = 2

Sandwich costs $2

Answer:

i was about to answer but i forgot sorry

Step-by-step explanation:

If you put $500 in a bank with a 6% investment rate (which is rather high honestly) then next year you would have $530 in the bank, then 561.80 and so on. I feel like I misunderstood the question, but hopefully this helps, if at all.

May I have brainliest please? :)

Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The correct option is D.

What is Rotational Symmetry?

Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.

Since for the rotational symmetry, the figure should look the same even if the figure is rotated. Thus, the figure that has a rotational symmetry is a rhombus. Hence, the correct option is D.

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Answer:

2/7

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

It can be determined that the function is:

So missing x is:

Missing y is:

Missing numbers are:

Correct choice is d.

                                           FIRST METHOD

Answer:

Step-by-step explanation:

Given the table

x                                         y

7                                        16

9                                        17

Missing x                          18

13                                        Missing y

From the table, it is clear that y-values are incremented by 1 unit and the x-values are incremented by 2 units.

i.e.

y = 17-16 = 1

y = 18-17 = 1

as 19-18 = 1

Thus,

Thus, the value of Missing y = 19

also the x-values increment by 2.

i.e.

x  = 9-7 = 2

as x = 11 - 9 = 2

Thus, Missing x = 11

Therefore,

                                                2ND METHOD

Given that the table represents a  linear function, so the function is a straight line.

Taking two points

Finding the slope between (7, 16) and (9, 17)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(7,\:16\right),\:\left(x_2,\:y_2\right)=\left(9,\:17\right)[/tex]

[tex]m=\frac{17-16}{9-7}[/tex]

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

Using the point-slope form to determine the linear equation

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

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1/2 and the point (7, 16)

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

[tex]y-16=\frac{1}{2}\left(x-7\right)[/tex]

Add 16 to both sides

[tex]y-16+16=\frac{1}{2}\left(x-7\right)+16[/tex]

[tex]y=\frac{1}{2}x+\frac{25}{2}[/tex]

Thus, the equation of the linear equation is:

[tex]y=\frac{1}{2}x+\frac{25}{2}[/tex]

Now substituting y = 18 in the equation

[tex]18=\frac{1}{2}x+\frac{25}{2}[/tex]

Switch sides

[tex]\frac{1}{2}x+\frac{25}{2}=18[/tex]

subtract 25/2 from both sides

[tex]\frac{1}{2}x+\frac{25}{2}-\frac{25}{2}=18-\frac{25}{2}[/tex]

[tex]\frac{1}{2}x=\frac{11}{2}[/tex]

[tex]x=11[/tex]

Thus, the value of missing x = 11 when y = 18

Now substituting x = 13 in the equation

[tex]y=\frac{1}{2}\left(13\right)+\frac{25}{2}[/tex]

[tex]y=\frac{13}{2}+\frac{25}{2}[/tex]

[tex]y=\frac{13+25}{2}[/tex]

[tex]y=\frac{38}{2}[/tex]

[tex]y = 19[/tex]

Thus, the value of missing y = 19 when x = 13

Hence, we conclude that:

Hence, option D is true.

Answer:

Alternate interior angles

Step-by-step explanation:

Answer:

C. 29

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

1/4(d - 2) = 6

Step 2: Solve for d

Step 3: Find

Answer:

[tex]64a^{3} b^{6}[/tex]

Step-by-step explanation:

1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:

[tex](4ab^{2} )^3[/tex]

[tex]4^{3}[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

2) The variables are fine - you can't simplify them further. All you need to do now is multiply the [tex]4^{3}[/tex] out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"

[tex]4[/tex] · [tex]4[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

[tex]16[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

[tex]64a^{3} b^{6}[/tex]

Therefore, [tex]64a^{3} b^{6}[/tex] is the answer.

Answer:

3/5 cup of water = 3/4 of container

1 cup of water = 3/4 * 5/3 of container

= 5/4 of container

Answer:

Step-by-step explanation:

ok so first you have to make equalt denominaters

3/5 = 12/20

3/4 = 15/20

so you can fill one and 3/20 with one full glass of water.

Answer:

y=3x-4

Step-by-step explanation:

Answer:

x ≈ 8.6 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 35°

Opposite Leg = x

Hypotenuse = 15

Step 2: Solve for x

Answer:

b)

The  equation of the line that passes through a pair of points

   [tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]

Step-by-step explanation:

 Explanation:-

Given points are ( 5 ,-2) and ( 3,-1)

slope of the line

                        [tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}[/tex]

The  equation of the line that passes through a pair of points

              [tex]y - y_{1} = m ( x - x_{1} )[/tex]

           [tex]y - (-2) = \frac{-1}{8} ( x - (5) )[/tex]

          [tex]y = \frac{-1}{8} ( x ) +\frac{5}{8} -2[/tex]

        [tex]y = \frac{-1}{8} ( x ) +\frac{5-16}{8}[/tex]

      [tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]

Answer:

Step-by-step explanation:

If we have the scale

2 cm: 21 km

8.6 cm will be

x=actual distance

x=(8.6*21)/2=90.30 km

Answer:

Option D.

[tex]\mathbf{\sqrt{3}} +1}[/tex]

Step-by-step explanation:

The given integral is:

[tex]\int^d_c \int ^{h_2(y)}_{h_1(y)} f(x,y)\ dx \ dy[/tex]

The intersection curves enclosed by the surfaces:

z = 2 - x² - y² and z = 2x + 2y

This implies that:

[tex]2x +2y = 2 - x^2- y^2[/tex]

[tex](x^2 + 2x) +(y^2 + 2y) = 2 \\ \\ (x+1)^2 + (y + 1)^2 = 4 --- (1)[/tex]

We will realize that the curve of this intersection is a circle which is centered at (-1, -1) of the radius 2.

So, from equation (1)

[tex](x + 1)^2 = 4 - (y + 1)^2[/tex]

x + 1 = ±[tex]\sqrt{4 - (y + 1)^2}[/tex]

[tex]x = -1 \pm \sqrt{4 - (y+1)^2}[/tex]

Now,

[tex]h_2 (y) = -1 + \sqrt{4 - (y +1)^2}[/tex] and [tex]h_1 (y) = -1 - \sqrt{4 - (y +1)^2}[/tex]

[tex]h_2(0) = -1 + \sqrt{4-1}[/tex]

[tex]h_2(0) = -1 + \sqrt{3}[/tex],  and:

[tex]At \ \ (-1, -1); \\ \\ z = 2 - (-1)^2 - (-1)^2 \\ \\ z = 2 - 1 - 1 \\ \\ z = 0[/tex]

and

[tex]z = 2x + 2y \\ \\ z = 2(-1) + 2 (-1) \\ \\ z = -2 + (-2) \\ \\ z = -4[/tex]

The surface z = 2-x²-y² lies above z = 2x + 2y in the region of intersection

∴

[tex]f(x,y) = (2 - x^2 - y^2) - (2x + 2y) \\ \\ f(0,0) = 2 - 0 \\ \\ f(0,0) = 2[/tex]

So, h₂ (0) + f(0,0) = [tex]\sqrt{3}} - 1 + 2[/tex]

h₂ (0) + f(0,0) = [tex]\mathbf{\sqrt{3}} +1}[/tex]

Step-by-step explanation:

9c⁴ * 9c⁸

= 9 * 9 * c⁴ * c⁸

= (81)(c¹²)

= 81c¹²

Note: a^m * a^n = a^(m+n) by Law of Indices.

Answer:

3 with a remainder of 15

Step-by-step explanation:

Long division

Answer:

honestly if u ask me ima have to say she lost some money cause

Step-by-step explanation:

she got it for 25 right then she got an exstra 5 dollars cause she sold it

for 30 then she got the same pen for 35 when she got it for 25 the first time  so 25-35 = 10 meaning she lost 10 dollars and got 10 dollars back because if u add the 5 dollars from the 30 then from the 40 u get ten meaning

she just got her money right back

[tex] - 12 = x + \frac{8}{ - 3} [/tex]

[tex] - 12 - ( \frac{8}{ - 3} ) = x[/tex]

[tex] - 12 - \frac{8}{3} = x[/tex]

[tex] \frac{ - 36}{3} - \frac{8}{3} = x[/tex]

[tex] \frac{ - 36 - 8}{3} = x[/tex]

[tex] \frac{44}{3} = x[/tex]

The simplified form of the given expression is 8x+7

From the question, we are to write the simplified form of the given expression

The given expression is

3x+4+5x+3​

3x+5x+4+3

8x+7

Hence, the simplified form of the expression is 8x+7

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