Amelia is looking at the top of a lighthouse. She knows she is 32 feet from the base of the lighthouse. If she is 62 inches tall and the angle of elevation is 37°, how tall is the lighthouse? Round to the nearest tenth of a foot.

Answer:

A.

D: x [tex]\geq[/tex] -7

R: y [tex]\geq[/tex] -9

B.

D: x [tex]\geq[/tex] -3

R: All real numbers

C.

D: -10 < x < 10

R: -20 < y < 10

Answer:

[tex]P(A) = 0.45[/tex]

[tex]P(B) = 0.32[/tex]

Step-by-step explanation:

Given

[tex]P(A) > P(B)[/tex]

[tex]P(A\ u\ B) = 0.626[/tex]

[tex]P(A\ n\ B) = 0.144[/tex]

Required

Find P(A) and P(B)

We have that:

[tex]P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)[/tex] --- (1)

and

[tex]P(A\ n\ B) = P(A) * P(B)[/tex] --- (2)

The equations become:

[tex]P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)[/tex] --- (1)

[tex]0.626 = P(A) + P(B) - 0.144[/tex]

Collect like terms

[tex]P(A) + P(B) = 0.626 + 0.144[/tex]

[tex]P(A) + P(B) = 0.770[/tex]

Make P(A) the subject

[tex]P(A) = 0.770 - P(B)[/tex]

[tex]P(A\ n\ B) = P(A) * P(B)[/tex] --- (2)

[tex]0.144 = P(A) * P(B)[/tex]

[tex]P(A) * P(B) = 0.144[/tex]

Substitute: [tex]P(A) = 0.770 - P(B)[/tex]

[tex][0.770 - P(B)] * P(B) = 0.144[/tex]

Open bracket

[tex]0.770P(B) - P(B)^2 = 0.144[/tex]

Represent P(B) with x

[tex]0.770x - x^2 = 0.144[/tex]

Rewrite as:

[tex]x^2 - 0.770x + 0.144 = 0[/tex]

Expand

[tex]x^2 - 0.45x - 0.32x + 0.144 = 0[/tex]

Factorize:

[tex]x[x - 0.45] - 0.32[x - 0.45]= 0[/tex]

Factor out x - 0.45

[tex][x - 0.32][x - 0.45]= 0[/tex]

Split

[tex]x - 0.32= 0 \ or\ x - 0.45= 0[/tex]

Solve for x

[tex]x = 0.32\ or\ x = 0.45[/tex]

Recall that:

[tex]P(B) = x[/tex]

So, we have:

[tex]P(B) = 0.32 \ or \ P(B) = 0.45[/tex]

Recall that:

[tex]P(A) = 0.770 - P(B)[/tex]

So, we have:

[tex]P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45[/tex]

[tex]P(A) = 0.45 \ or\ P(A) =0.32[/tex]

Since:

[tex]P(A) > P(B)[/tex]

Then:

[tex]P(A) = 0.45[/tex]

[tex]P(B) = 0.32[/tex]

Answer:

part W

you tap the person and it gives you that option

hope that helps I don't answer things for points I like to help and maybe

Answer:

1.6

Step-by-step explanation:

So, first, write down the number of jokers in each deck of cards.

That would be: 0, 1, 2, 2, 3

Then, add up all those numbers.

0+1+2+2+3=8

Now, divide that sum by the number of decks or cards shown in the data set, which would be 5.

8/5=1.6

So, the mean of the data in the dot plot shown is 1.6.

:L)

Answer:

The new sale price is $26.25 dollars.

Step-by-step explanation:

Answer: $26.25

Step-by-step explanation:

multiply 35.00 by .25 or 25% and you get 8.75 and then subtract that from 35 to get $26.25

Hope this helps ! :)

Answer:

Angle RST is a straight angle, or 180°.

Step-by-step explanation:

Subsequently, question is, what is RST measured in? Triangle RST is isosceles means that two of its angles are equal. (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case the sum of the angles will be more than 180 degrees) then the other two angles, R and S, are equal: R=(180-100)/2=40.

Likewise, people ask, what is the measure of angle rst 94?

Then the measure of arc RST is 94° +96° = 190°.

What is the measure of arc rst?

— RT is a diameter, so RST is a semicircle, and m RST = 180°. The measure of a minor arc is the measure of its central angle. The expression m AB is read as “the measure of arc AB.” The measure of the entire circle is 360°.

Answer:

A) t=0.2(60.5)

B) d=0.15(34)

C) t=0.9(157.3)

D) p=100(10.49/58.25)

E) t=0.85(94.2+0.2(94.2))

Step-by-step explanation:

A)

Let the tip be represented by t. The tip is 20% of $60.50:

t=0.2(60.5)

B)

Let the money they save be represented by d. Their discount is 15% of $34:

d=0.15(34)

C)

Let the new total be represented by t. Their discount is 10%, so they will only be paying 90% of $157.30t:

t=0.9(157.3)

D)

Let the percentage be represented by p. The tip is $10.49, to find this as a precent of the $58.25 bill, divide the tip by the bill and multiply by 100:

p=100(10.49/58.25)

E)

First find the total after the tip but before the coupon.

Their tip is 20% of $94.20, and their total before the coupon is $94.20 plus the tip: 94.2+0.2(94.2)

Now find their final total.

Let the final total be represented by t. The discount is 15%, so they will only be paying 85% of the total after tip:

t=0.85(94.2+0.2(94.2))

Answer:

76

Step-by-step explanation:

Answer:

240

Hope this Helps

Answer:

sum of area of All six faces of cube is it's total surface area

Step-by-step explanation:

surface area of a cube =6*area of faces =6*(side) square

9514 1404 393

Answer:

  d. √74 units

Step-by-step explanation:

The distance formula is useful for finding the length of a line segment.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Filling in the point coordinates L(-5, -3) and M(0, 4), we find the length of LM to be ...

  LM = √((0-(-5))^2 +(4 -(-3))^2) = √(25 +49)

  LM = √74 . . . units

Answer: x=14.4

Step-by-step explanation:2.5x=48-12

2.5x=36

x=14.4

Answer:

x = 14.4

Step-by-step explanation:

2.5x + 12 = 48

2.5x + 12 - 12 = 48 - 12

2.5x = 36

2.5x ÷ 2.5 = 36 ÷ 2.5

x = 14.4

Answer:

i dont know bro

Step-by-step explanation:

Answer:

10.6

Step-by-step explanation:

Sal will pay $77.78 to tile his entryway  

The image of the question is attached below.  

Given each unit length = 1 foot  

Tile cost per square feet = $1.  65

To find the area, split the floor shape into two shape.  

One is trapezoid and the other is parallelogram.  

Let's count the grid given.  

The parallels sides of trapezoid are 7 ft and 4 ft, height is 7 ft.  

The base and height of the parallelogram are 4 ft and 4 ft respectively.  

Area of the trapezoid =1/2 ×(sum or parallel  sides)× height

                                      =1/2× (7+4)×5

                                       =1/2×11×5

Area of the trapezoid = 27.5 sq.ft  

Area of the parallelogram = base × height  

                                       = 4 ft × 4 ft  

Area of the parallelogram = 16 sq. ft  

Total area = 27.5 sq. ft + 16 sq. ft  

              = 43.5 sq. ft  

Cost of area per sq. ft = $1.65  

Cost of area 43.5 sq. ft = 43. 5 × 1.65  

                                   = $71.775

                                   = $71.78  

Hence Sal will pay $71.78 to tile his entryway.

Answer:

Its a positive slope since its going up.

Answer:

[tex]Earnings = 650[/tex]

[tex]New\ Value = 5650[/tex]

Step-by-step explanation:

Given

[tex]Amount = 5000[/tex]

[tex]Rate = 13\%[/tex]

Solving (a): The earnings.

This is calculated as:

[tex]Earnings = Amount * Rate[/tex]

[tex]Earnings = 5000 * 13\%[/tex]

[tex]Earnings = 650[/tex]

Solving (b): New Value

This is calculated as:

So, we have:

[tex]New\ Value = Amount + Earnings[/tex]

[tex]New\ Value = 5000 + 650[/tex]

[tex]New\ Value = 5650[/tex]

Answer:

10

Step-by-step explanation:

6 ft + 4 ft = 10 ft

Easy: 6 is 3+3

4 is 2+2

Now do (3+2)+(3+2)= 5+5= 10 = 6+4

Answer:

P(379<X<394) = 0.0899 = 8.99%

Step-by-step explanation:

P(379<X<394) = normalcdf(379,394,406,9) = 0.0898613146 ≅ 8.99%

Therefore, if you pick one fruit at random, the probability that it will weigh between 379 grams and 394 grams is 0.0899 or about an 8.99% chance of occurence.

Answer:

Second one

Step-by-step explanation:

Answer:

0.2857

Step-by-step explanation:

P(B | not A)

Recall :

P(A | B) = P(A n B) / P(B)

Hence ;

P(B | not A) = P(B and not A) / P(not A)

P(not A) = 1 - P(A) = 1 - 0.44 = 0.56

P(B and not A) = P(B) - P(A and B) = 0.36 - 0.20 = 0.16

Hence,

P(B | not A) =P(B and not A) / P(not A) = 0.16 / 0.56

= 0.2857

Answer:

0.25 = 2^-2

The "^" means that -2 is an exponent on top of 2.

Answer:

Marissa buys 5 bottles of soda which cost X, she also buys a 9 dollar meal. If her total cost was 44 dollars, how much does each bottle cost?

Step-by-step explanation:

Answer:

there was was 5 fish in the tank and a shipment of x amount plus nine recent babies were born? equaling to 44 in total?

Step-by-step explanation:

Answer:

Step-by-step explanation:

its B

just chuck it in wolfram alpha

Answer:

-224

Step-by-step explanation:

Geometric sequence is given by An = A*R^(n-1)

Given A7 = 7 and A10 = -56

A10/A7 = -8 = R^(10-7)

R^3 = -8

R = -2

A12 = A10*R^2

= -56*-2^2

= -224

Answer:

Step-by-step explanation:

A7 = 7

A10 = -56

7xRxRxR = -56

R = -2

A12 = A10xRxR

= -56 x -2 x -2

= 224

Answer:

[tex]\frac{-752}{3}[/tex]

Step-by-step explanation:

Answer:

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex] -- Perfect square trinomial

[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex] ---Binomial squared

Step-by-step explanation:

Given

[tex]n^2 + \frac{2n}{3}[/tex]

Solving (a): Perfect square trinomial

We have:

[tex]n^2 + \frac{2n}{3}[/tex]

Express as an equation

[tex]n^2 + \frac{2n}{3} =[/tex]

Start----------------------------

Take coefficient of n i.e. (2/3)

Half it: i.e. (1/3)

Square it: (1/63^2

Add to both sides of the equation

---------------------------End

So, we have:

[tex]n^2 + \frac{2n}{3} + (\frac{1}{3})^2 = (\frac{1}{3})^2[/tex]

Remove brackets

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Solving (b): Binomial Squared

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Expand

[tex]n^2 + \frac{n}{3}+ \frac{n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Factorize:

[tex]n(n + \frac{1}{3})+ \frac{1}{3}(n + \frac{1}{3}) = \frac{1}{9}[/tex]

Factor out n + 1/3

[tex](n + \frac{1}{3})(n + \frac{1}{3}) = \frac{1}{9}[/tex]

Express as square

[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex]