Danny is in a 90 m high watchtower. Lily and Bryan are out searching for clues in regards to a route taken by an escaped prisoner. Lily radios to Danny that she has found some evidence and estimates that she is 350 m from the base of the watchtower. Danny radios this information to Bryan, who estimates that from his location, the angle of elevation to the top of the watchtower is 20°. Danny estimates that the angle from Bryan to the base of the watchtower to Lily is 85°.
a) To the nearest meter, how far is Bryan from the base of the watchtower?
b) To the nearest meter, how apart are Bryan and Lily?

Answer:

1/2

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The slope is down 1 over 1.5, so that means Start with the slope formula

m=

(y2 - y1)

(x2 - x1)

Substitute point values in the formula

m=

(140 - 280)

(2 - 4)

Simplify each side of the equation

m=

(140 - 280)

(2 - 4)

=

-140

-2

Solve for slope (m)

m= 70

Booommmm, Im proud of this lol, hope it helps <3

Answer:

h(x)=6^x/3 is what I got hope I could help

The y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The given equation is y=700x+38,000 to predict his annual salary, y, after x years.

In the given equation, y-intercept is 38,000.

Therefore, the y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.

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Step-by-step explanation:

[tex]57.6 - 41.9 = 5.7[/tex]

There are 6 possible outcomes:P(HHH) + P(HHT) + P(HTH) + P(THH) + P(HTT) + P(THT) = 7/8

a) No heads: 0.125

b) Exactly 2 tails: 0.375

c) At least 2 heads: 0.5

d) At most 2 tails: 0.875.

Given that three coins are tossed, we need to draw a Tree-diagram to show the possible outcomes and then find the sample space for this event.

Afterward, we need to find the probability of getting:

a) no heads

b) exactly 2 tails

c) at least 2 heads

d) at most 2 tails

Tree-diagram:

It is a tree diagram representing the tossing of three coins to show all possible outcomes.Sample space:

It is the set of all possible outcomes.

The sample space for this event is: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

a) No heads are (TTT) and the probability of getting no head is:

P(TTT) = 1/8

= 0.125

b) Exactly two tails are (HHT, HTH, THH) and the probability of getting exactly 2 tails is:

P(HHT) + P(HTH) + P(THH) = 3/8

= 0.375

c) At least 2 heads means getting 2 heads or 3 heads. There are 4 possible outcomes:P(HHH) + P(HHT) + P(HTH) + P(THH) = 1/2 = 0.5d)

At most 2 tails mean getting 0 tails or 1 tail.

There are 6 possible outcomes:P(HHH) + P(HHT) + P(HTH) + P(THH) + P(HTT) + P(THT) = 7/8

= 0.875

Hence, the answers are:

a) No heads: 0.125

b) Exactly 2 tails: 0.375

c) At least 2 heads: 0.5

d) At most 2 tails: 0.875.

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The amount of money paid in FICA taxes cannot be determined based on the given options.

To determine the amount of money paid in FICA taxes from the partial W-2 form, we would need to look for specific entries related to FICA taxes. Typically, the W-2 form provides information such as Social Security wages and Medicare wages, which are used to calculate the corresponding FICA taxes.

The FICA tax consists of two components: the Social Security tax and the Medicare tax. The Social Security tax is calculated based on a fixed percentage (e.g., 6.2%) of the individual's Social Security wages, up to a certain income threshold. The Medicare tax is calculated based on a different fixed percentage (e.g., 1.45%) of the individual's Medicare wages, with no income threshold.

Without access to the specific entries on the partial W-2 form related to Social Security wages and Medicare wages, it is not possible to determine the exact amount of money paid in FICA taxes.

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Answer:

5. 18 that is what i think the answers are

6. 13.75

5 2 11 8 35 32

Answer:

12

Step-by-step explanation:

y = kx where 'k' is the constant of proportionality

24 = 2 x 12

36 = 3 x 12

48 = 4 x 12

60 = 5 x 12

Answer:

however it works for you along as you get the right answer

Step-by-step explanation:

Answer:

Yeah you will most likely get the same answer

Step-by-step explanation:

as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good

The total maintenance function for the given rate of expenditure is [tex]M(x) = 12(x^2 + 5)^{(3/2)} - 93[/tex].

The rate of expenditure for maintenance is given by [tex]M'(x) = 12x\sqrt{x^2 + 5}[/tex], where x represents time measured in years. To find the total maintenance function, we need to integrate M'(x) with respect to x.

Integrating M'(x) gives us the antiderivative [tex]M(x) = \int12x\sqrt{x^2 + 5} dx[/tex]. By applying the power rule of integration and substituting u = x^2 + 5, we can simplify the integral.

After simplification, we obtain [tex]M(x) = 4(x^2 + 5)^{(3/2)} - 93[/tex]. Therefore, the total maintenance function is [tex]M(x) = 12(x^2 + 5)^{(3/2)} - 93[/tex].

Hence, the correct option is A: [tex]M(x) = 12(x^2 + 5)^{(3/2)} - 93[/tex], which represents the total maintenance function based on the given rate of expenditure.

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The given time series data is represented by the pairs (t, y(t)): (1, 6), (2, 11), (3, 9), (4, 14), and (5, 15).

The time series data provided consists of values of the dependent variable y at different time points t. In this case, we have the values of y at time points 1, 2, 3, 4, and 5. The corresponding values of y are 6, 11, 9, 14, and 15, respectively.

Time series data is commonly used in various fields, such as economics, finance, and engineering, to analyze patterns and trends over time. By examining the values in the given time series, one can identify any trends, seasonality, or other patterns that may be present in the data.

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To show that E(Xn) = Ek=p-k, we can use the concept of conditional expectation and the law of total expectation.

Let's define X as the number of flips required to obtain a run of n consecutive heads.

We can express X as the sum of two random variables: the number of flips required to obtain the first head (H) and the number of additional flips required to obtain a run of n-1 consecutive heads (Xn-1).

We can write the equation as:

X = H + Xn-1

Taking the expectation on both sides, we have:

E(X) = E(H + Xn-1)

Using the linearity of expectation, we can rewrite this as:

E(X) = E(H) + E(Xn-1)

The expected number of flips required to obtain the first head is simply the reciprocal of the probability of getting heads on a single flip, which is 1/p.

So, E(H) = 1/p.

Next, let's consider the expectation of Xn-1. Since Xn-1 represents the number of additional flips required to obtain a run of n-1 consecutive heads, it is equivalent to Xn but with a reduced value of n.

Using the law of total expectation, we can express E(Xn-1) as a conditional expectation:

E(Xn-1) = E(E(Xn-1 | Xn-1 > 1))

In other words, the expected value of Xn-1 can be obtained by conditioning on the event that the first flip is not a head.

Since the first flip is not a head, we need to start over and obtain a new run of n consecutive heads.

Therefore, the expectation of Xn-1 conditioned on Xn-1 > 1 is equal to E(Xn).

Putting it all together, we have:

E(X) = E(H) + E(Xn-1)

    = 1/p + E(Xn)

Simplifying further, we get:

E(X) = 1/p + E(Xn)

Now, notice that E(X) is equal to E(Xn) when n = 1.

Therefore, we can write:

E(X) = 1/p + E(X)  (since E(X1) = E(X))

Solving for E(X), we find:

E(X) = 1/p

Finally, let's substitute k = n-1 into the expression:

E(Xn) = 1/p

Since k = n-1, we have:

E(Xn) = 1/p = Ek=p-k

Therefore, we have shown that E(Xn) = Ek=p-k.

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Answer:

-3

Step-by-step explanation:

parallel lines are congruent which means that they equal the same thing

Answer:

The answer is B

Step-by-step explanation:

Each smaller rectangle is being multiplied by a so 2a + 3a + 4a would give you the total area of the entire large rectangle.

Answer:

21

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope this helped, and please mark as brainliest! <3

#x

Angle 1

Angle 2

Answer:

A)  x = 44

B)  m∠1 = 118°

    m∠2 = 62°

Step-by-step explanation:

Part A

Angles on a straight line sum to 180°

⇒ (2x + 30) + 62 = 180

⇒ 2x + 30 + 62 = 180

⇒ 2x + 92 = 180

⇒ 2x = 88

⇒ x = 44

Part B

Vertical Angle Theorem:  The opposite vertical angles of two straight intersecting lines are congruent.

⇒ m∠1 = (2x + 30)

Substituting the found value of x:

⇒ m∠1 = 2(44) + 30

⇒ m∠1 = 88 + 30

⇒ m∠1 = 118°

Using the Vertical Angle Theorem:

⇒ m∠2 = 62°

Answer:

36

Step-by-step explanation:

Use the counting principle.

2 * 3 * 6 = 36

Answer: 36

Answer: 30 outfits

Step-by-step explanation:

2 x 5 x 3 =30

Answer:

1800°

Step-by-step explanation:

(12-2)x180 = 1800

The required value of Ru is 7.71

Given that Romberg integration for approximating `∫(x) dx` gives `R21 = 6` and `R22 = 6.28`. Then, we need to find `Ru`.

We know that Romberg integration formula is given by:

R_kj = (4^j * R_(k+1),j-1 - R_k,j-1) / (4^j - 1), where, `R_kj` denotes the approximation of integral using `2^(k-1) x 2^(j-1)` points and `R_k,j-1` denotes the approximation of integral using `2^(k-1) x 2^(j-2)` points.

Now, we are given that:

`R21 = 6` and `R22 = 6.28`, we need to calculate `Ru`.

For this, let's use the Romberg integration formula as follows:

`R31 = (4^1 * R22 - R21) / (4^1 - 1)`

Substituting the given values, we get:

`R31 = (4 * 6.28 - 6) / 3 = 7.56 / 3 = 2.52`

Similarly,`R32 = (4^1 * R32 - R31) / (4^1 - 1)`

Substituting the given values, we get:

`R32 = (4 * 6.28 - 2.52) / 3 = 23.12 / 3 = 7.71`

Therefore, `Ru = R32 = 7.71`.Hence, the required value of `Ru` is `7.71`.

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Answer:

Step-by-step explanation:

Answer:

130/100 H  and (3/10 + 1) H

Step-by-step explanation:

Hope this helps!

Answer:

Option D: P + 42 = 91

Step-by-step explanation:

Plates collected in February = 42

Total Plates collected = 91

Plates in February + Plates in March = total plates

42 + P = 91 or

P + 42 = 91

hello i know its wrong but lol. i tried to help.

The area of a rectangular garden in square feet can be represented by z² - 10z +21. The length is z - 7 feet. You have been hired to fertilize the

garden. Recall that the area of the garden is z² - 10z +21. If z = 20 and the fertilizer costs $0.27 per square foot, how much it cost to fertilize

the garden?

Answer:

$ 59.67

Step-by-step explanation:

The area of a rectangular garden in square feet can be represented by z² - 10z +21 square feet

If z = 20

Therefore:

The area of the rectangular garden is:

20² - 10 × 20 + 21

400 - 200 + 21

= 221 square feet

The fertilizer costs $0.27 per square foot, how much it cost to fertilize

the garden?

The cost of fertilize the garden is calculated as:

1 square feet = $0.27

221 square feet = x

Cross Multiply

221 square feet × $0.27

=$ 59.67

Based on the given data, the hypothesis test results show that there is not enough evidence to conclude that women chat on their phones more than men at the 5% significance level.

For the hypothesis test comparing the chat times of male and female students, we can use a two-sample t-test since we have two independent samples with unequal variances. The null hypothesis (H0) assumes that there is no difference in chat times between men and women, while the alternative hypothesis (Ha) suggests that women chat more than men.

Calculating the test statistic and degrees of freedom using the provided sample data and formulas, we find that the test statistic is approximately 1.03. Comparing this with the critical value at a 5% significance level (t-critical value), we find that it does not fall in the rejection region.

Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that women chat on their phones more than men at the 5% significance level.

For the second scenario comparing energy expenditure using conventional and perforated shovels, we would need more information, such as the sample sizes, means, and standard deviations, to perform the relevant hypothesis test. The provided data alone does not allow us to conduct the hypothesis test.

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Answer:

60°

Step-by-step explanation:

∠B=(240-120)/2=120/2=60°

Answer:

x=12

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2= 144

b=12 Therefore,

x=12