Can someone explain in the clearest way possible how to solve this problem and also does it involve using sin cos tan formulas?

A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?

Answer:

yea i dont know this one bro gp 23 si 28

Step-by-step explanation:

m = √245

Step-by-step explanation:

cos theta = 7/m

cos theta = m/35

7/m = m/35

m² = 245

m= √245

Answer:

Step-by-step explanation:

B

Answer:

obtuse angle

Step-by-step explanation:

Answer:

5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47

Step-by-step explanation:

Answer:

Kevin eats 1 pie for every 33 seconds that pass

Step-by-step explanation:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

If we were wondering how many seconds Kevin takes to eat a pie then the equation would look like:

132 seconds / 4 pies = 33 seconds per pie

33 seconds / 1 pie

However, if we were looking for how many pies Kevin eats in a second, then the equation would look like:

4 pies / 132 = .0303 or 3.03% of a pie per second

.0303 pies / 1 second

Answer:

The number of plans that cost between $52.38 and $96.7 is 913.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of $74.54, standard deviation of $11.08

Percentage of plans that cost between $52.38 and $96.7.

52.38 = 74.54 - 2*11.08

96.7 = 74.54 + 2*11.08

Within 2 standard deviations of the mean, so by the Empirical Rule, 95%.

The number of plans that cost between $52.38 and $96.7 is .

95% of 961. So

0.95*961 = 913

The number of plans that cost between $52.38 and $96.7 is 913.

Answer:

<2 = 75

<1 =105

Step-by-step explanation:

<2 and 75 are corresponding angles and corresponding angles are equal when lines are parallel

<2 = 75

<1 and <2 are supplementary angles

<1+<2 = 180

<1 +75 = 180

<1 = 180-75

<1 =105

Answer:

Angle 1: 105 Angle 2: 75

Step-by-step explanation:

The two parallel horizontal lines shown are going through the same line, so the angles will be the same. That means we already know that angle 2 is 75 degrees, and with that information, we can figure out the measure of angle 1. A 180-degree angle is a straight line, and 180 - 75 is equal to 105, which is the measure of angle 1!

I hope this helped you!

Answer:

m = 4a - 60, option b

Step-by-step explanation:

Number of cars sold in May:

This was m.

60 less than four times the number of cars sold in April a

Four times the number of cars sold in April was 4a.

m was 60 less than 4a, that is, m is given by 4a subtracted by 60. So

m = 4a - 60, and the correct answer is given by option b.

Answer:

y = 2

Step-by-step explanation:

varies inversely

xy = k

y = 7 when x = 2/3

(2/3)7 = k

14/3 = k

k = 14/3

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

find y when x = 7/3

(7/3)y = 14/3

multiply both sides by 3/7

y = 14/3 * 3/7

y = 2

Answer: y = 2

Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.

Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.

(2/3)(7) = (7/3)(y)

So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.

Answer:

13) 25 and 17

14) cupcakes = $5

brownies = $3

Step-by-step explanation:

13)  you can set this up as equations

so x + y = 42

x-y = 8

solve simultaneously by subtracting from each other

2y = 34

y= 17

if y = 17

42 - 17 = 25 = x

14) set up as equations again

Ben    7c + 10b = 65

franklin   7c +7b = 56

subtract from eachother

3b = 9

b = $3

7c + 10(3) = 65

7c = 35

c = $5

Answer:

First question = 2&8

Second question = Cupcakes 6.5 Brownies 8

Step-by-step explanation:

Answer:

{8, 24, 72, 216, 648}

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.

In this question:

First element is 8, common ratio of 3. So

Second term: 8*3 = 24

Third term: 24*3 = 72

Fourth term: 72*3 = 216

Fifth term: 216*3 = 648

So the answer is {8, 24, 72, 216, 648}

Answer:

[tex]a=-\frac{2}{3}[/tex]

Step-by-step explanation:

We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:

[tex]y=3x+8[/tex] and

[tex]y=\frac{a}{2}x-2.5[/tex]

The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:

[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

10

Step-by-step explanation:

( 1 / 20 ) x ( 1 / 8 ) x 1600

= ( 1 / 20 x 8 ) x 1600

= ( 1 / 160 ) x 1600

= 1600 / 160

Answer:10

Step-by-step explanation:

1/20 x 1/8 x 1600 = 10

= 10

Answer:

Area = 1384.7 square miles

Step-by-step explanation:

[tex]Area = \pi r^2 = 3.14 \times 21^2 = 3.14 \times 21 \times 21 = 1384.74 = 1384.7 \ mi^2[/tex]

Answer:

1, 385.4 mi

Step-by-step explanation:

A = pi(r^2)

A = 3.14 x 21^2

A = 1385.44 mi

9514 1404 393

Answer:

Step-by-step explanation:

For the GCF to be 6, terms of the polynomial must be multiples of 6, but must have no other common factors. A simple polynomial that meets this requirements is ...

  6a +12b

One equivalent form can be had by factoring 6 from the terms:

  6(a +2b)

Since 6 has a factorization of its own, another equivalent form can be had by factoring out one of the factors of 6. The ones of interest are 2 and 3, so we can write ...

  2(3a +6b)

or ...

  3(2a +4b)

Answer:

Step-by-step explanation:

hope it helps

Answer:

7.

Solution given;

male=15

female=27

1st term=5*3

2nd term=3*3*3

now

Highest common factor=3

So

The maximum number of groups that the teacher can make is 3.

and each team contains 5 male and 9 female.

Answer:

it must be G..

I'm not sure..

Answer:

409

Step-by-step explanation:

You add 234 with 175.

Answer:

not equal to

Step-by-step explanation:

the ")" stands for excluding that last element.

Answer:

https://www.wyzant.com/resources/answers/64459/if_f_x_3x2_4x_and_g_x_3x_2_then_which_of_the_following_is_equal_to_f_x_183_g_x#answer-79706

Step-by-step explanation:the link tells you heheh

Answer:

The rate is 12 ounces/box

or Each box of spaghetti weighs 12 ounces

Step-by-step explanation:

Divide 168 ounces by 14 boxes to calculate what each box weighs.

Answer:

[tex]m = \frac{4}{7}\\[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The constant rate of change (m)

This is calculated as:

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

From the graph, we have:

[tex](x_1,y_1) = (3,4)[/tex]

[tex](x_2,y_2) = (10,8)[/tex]

So, the formula becomes:

[tex]m = \frac{8-4}{10 - 3}[/tex]

[tex]m = \frac{4}{7}\\[/tex]

Answer: 50,380m

Step-by-step explanation:

190m * 270m = 51,300m

23m * 40m = 920m

Because the barn is in the field, we subtract the barn's area from the field's area, which leaves us with

51,300m - 920m = 50,380m

Answer:

A

Step-by-step explanation:

I think it's A because that how many miles shes walking not hours not secound or minutes miles. Sry if i'm wrong.

Answer:

Set A

Step-by-step explanation:

A negative linear association will always have a negative slope , a negative association can also be be detected from the data given, as the y value will decrease as the x values increases or vice versa.

The plot of the set A is attached Below with a correlation of - 1, meaning a strong negative relationship exists between the x and y variables.

Answer:

$19,565.22

Step-by-step explanation:

15% of 22,500 = 3375 as we multiply by 0.15

but, 15% of an initial is still whole 1 + 0.15  = 1.15 but when using sale prices to find initial we DIVIDE

= 22500 / 1.15 = 19565.2174

and round up by 2dp currency.

= $19565.22

The way to remember is the opposite finds the original