you measure the angle of elevation from the goround to the top of a building as 32. when you move 50 meters closer to the building, the angle of elecation is 53. what is the height of the building?

Answer:

The number of questions in Mark's homework is:

Step-by-step explanation:

To identify the number of questions of the homework, first, you must identify the percentage that is the 12 question Mark calculates by himself: if in 80% he uses calculator, in 20% he doesn't, I mean, he uses his own calculates, by this reason:

With this data, we can use a simple rule of three and find the number of question that correspond to 80%.

If:

Then:

At last, we add the 80% and the 20% of the questions:

As you can see, the number of questions in Mark's homework is 60 questions.

Let "c" represent the amount of cashews they each bought.

Let "p" represent the amount of peanuts they each bought.

Mike: 2c + 1.5p = 26

Jim: 2.5c + 1 p = 29

That's the system you need to solve.  We can do this with substitution.

Start with Jim:

    2.5c + p = 29

               p = 29 - 2.5c

Substitute that into Mike and solve for c:

                  2c + 1.5p = 26    

   2c + 1.5(29 - 2.5c) = 26    

    2c + 43.5 - 3.75c = 26

           -1.75c + 43.5 = 26

                      -1.75c  = - 17.5

                             c  = 10

Now substitute that back into Jim's last equation:

               p = 29 - 2.5c

               p = 29 - 2.5(10)

               p = 29 - 25

               p = 4

So they each bought 10 pounds of cashews and 4 pounds of peanuts.

Answer:

50 and 20 that is the answer Thank you

A) The odds of picking a black jellybean are 14/37.

Step-by-step explanation:

The jar contains fourteen black, eight red, eleven yellow, and four green jellybeans.

Therefore, the Total number of jellybeans in the jar = 14+8+11+4=37

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of black jellybeans.

Therefore, the number of black jellybeans = 14

Now, the number of unfavorable outcomes is the number of jellybeans that are not black.

Therefore, the number of unfavorable outcomes = 37-14=23

Hence, the odds of picking a black jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a black jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=14/37

Answer: Odds of picking a black jellybean are 14/37.

B) The odds of picking a green jellybean are 5/35.

Step-by-step explanation:

The jar contains ten black, eight red, twelve yellow, and five green jellybeans.

Therefore, the Total number of jellybeans in the jar = 10+8+12+5=35

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of green jellybeans.

Therefore, the number of green jellybeans = 5Now, the number of unfavorable outcomes is the number of jellybeans that are not green.

Therefore, the number of unfavorable outcomes = 35-5=30

Hence, the odds of picking a green jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a green jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=5/30

Reducing the ratio to the simplest form, we get the odds of picking a green jellybean = 1/6

Hence, the odds of picking a green jellybean are 5/35.

Answer: Odds of picking a green jellybean are 5/35.

Learn more about it by clicking this link

https://brainly.com/question/29104341

#SPJ11

Answer:

9.04-6.98=2.06

Answer:

parallel

Step-by-step explanation:

Answer:

231.01

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

24 divided by 48 is 0.50 so 50%

Answer:

200%

Step-by-step explanation:

2=200% and 24 × 2 = 48

Answer: -1

Step-by-step explanation:

To find the slope fo the line with the given points, you use the formula \(m=\frac{y_2-y_1}{x_2-x_1}\).

\(m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1\)

Now, we know that the slope is -1.

это вопрос 10 класса? Вопрос старшеклассника??

Answer: I think its reflected

Step-by-step explanation:

Answer:

0.53 then, search up 0.53 as a fraction and that's your answer. subscribe to amiredagoat Yt

Step-by-step explanation:

The distance from A to B is  724.64 ft

Consider the following figure.

In right triangle CDA, the sine of angle DAC would be,

sin(∠DAC) = CD/CA

sin(32°) = CD/1540

CD = 816.1 ft

Consider the tangent of angle DAC.

tan(∠DAC ) = CD/AD

tan(32°) = 816.1 / AD

AD = 816.1/ 0.63

AD = 1295.4

Let us assume that distance AB = x feet

In right triangle CDB, the tangent of angle CBD would be,

tan(∠CBD) = CD/DB

tan(∠CBD) = CD/(DA + AB)

tan(22°) = 816.1 / (1295.4+ x)

1295.4 + x = 816.1 / 0.4040

1295.4 + x = 2020.04

x = 2020.04 -  1295.4

x = 724.64 ft

Therefore, the required distance is  724.64 ft

Learn more about the sine of angle here:

https://brainly.com/question/3827723

#SPJ4

Find the complete question below.

Answer: h>7

Step-by-step explanation:

By 3 pm they have sold 125 glasses, and they need 300 total, so they need to sell 175 glasses more. At 25 glasses an hour, divide 175 by 25 to find the number of hours, which is 7. So they will need to be open for over 7 more hours to sell more than 300 glasses.

Answer:

C. h>7

Step-by-step explanation:

The fruit and juice bar sold 125 glasses of fruit punch by 3 p.m. To reach their goal of selling more than 300 glasses of fruit punch, they need to sell an additional 300 - 125 = 175 glasses of fruit punch.

We know that they sell 25 glasses of fruit punch per hour. Let's represent the number of hours they need to stay open past 3 p.m. as h. The total number of glasses of fruit punch they sell in h hours is 25h.

We need to find the value of h that satisfies the following inequality:

25h > 175

Dividing both sides by 25 gives us:

h > 7

Therefore, the fruit and juice bar needs to stay open for more than 7 hours past 3 p.m. to sell more than 300 glasses of fruit punch. The answer is option C: h > 7.

The value of 6x is 102.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x=51/3

For 6x put x= 51/3 we get

6x = 6 x 51/3

6x = 2 x 51

6x = 102

Or, \(x^6\) = \((51/3)^6\)

\(x^6\) = 17,596,287,801 / 531,441

Hence, the value of 6x = 102.

Learn more about Equation here:

https://brainly.com/question/29657988

#SPJ2

===================================================

Explanation:

sigma = 120 = population standard deviation

n = 25 = sample size

sigma/sqrt(n) = standard deviation of the xbar distribution

sigma/sqrt(n) = 120/sqrt(25) = 24

The standard deviation of the sampling distribution of the mean for this sample is 24. Rephrased, the standard deviation of the xbar distribution is 24.

To get the variance, we square the standard deviation

variance = (standard deviation)^2

variance = 24^2

variance = 576

Keep in mind this is the variance of the xbar distribution, and not the original underlying distribution it came from.

Answer:

k = 8

Step-by-step explanation:

10*8 - 90 = -10

:/

There are 4,320 ways to select six of the letters of the word algorithm and write them in a row if the first letter must be "a".

There are 7 letters in the word "algorithm", and we need to select 6 of them and arrange them in a row such that the first letter is "a". We can first choose the remaining 5 letters from the remaining 6 letters (excluding "a") in 6 choose 5 ways

⁶C₅ = 6!/5! = 6

Once we have chosen the 5 letters, we can arrange the 6 selected letters (including "a") in a row in 6! ways. Therefore, the total number of ways to select 6 letters and arrange them in a row with the first letter being "a" is

⁶C₅ × 6! = 6 × 720 = 4,320

To know more about select here

https://brainly.com/question/29485987

#SPJ4

The vector equation of the line is r(t) = t<2, 0, -1>, and the corresponding parametric equations are x = 2t, y = 0, z = -t.

To find the vector equation and parametric equations of the line passing through the point (0, 0, 0) and perpendicular to both u = <1, 0, 2> and w = <1, -1, 0>, we can use the cross product of u and w.

The cross product of two vectors u and w gives us a vector that is perpendicular to both u and w. So, by finding the cross product, we can determine the direction vector of the line.

First, we calculate the cross product of u and w:

u x w = <1, 0, 2> x <1, -1, 0>

Using the determinant rule for the cross product, we have:

u x w = <0(0) - 2(-1), 2(0) - 1(0), 1(-1) - 0(1)>

= <2, 0, -1>

The resulting vector <2, 0, -1> is the direction vector of the line.

Next, we can write the vector equation of the line:

r(t) = <x₀, y₀, z₀> + t<2, 0, -1>

Since the line passes through the point (0, 0, 0), the equation simplifies to:

r(t) = t<2, 0, -1>

This equation represents the line in vector form.

To obtain the parametric equations, we can express each component separately:

x = 2t

y = 0

z = -t

These equations represent the line parameterized by the variable t, where t = 0 corresponds to the given point (0, 0, 0).

In summary, the vector equation of the line is r(t) = t<2, 0, -1>, and the corresponding parametric equations are x = 2t, y = 0, z = -t.

Learn more about parametric equations of the line here:

https://brainly.com/question/30286426

#SPJ11

Answer:

Since you didn't provide the answer choices, it should look like something like this:

(from slowest to fastest)

Addison

Michael

Bryce

Susan

Explanation:

When you convert all the fractions into decimals, you can see and compare times easier.

Susan > 25.09

Bryce > 25.50

Addison > 25.80

Michael > 25.33 (the 3's go on practically forever, thats why it is usally shortened.)

The answer is that there is a 22.09% chance that the two randomly chosen people both have dogs. To answer this question, we need to use the concept of probability.

The probability of an event happening is the likelihood or chance of that event occurring. In this case, the event is both people having a dog.

We are given that 47% of people have dogs. Therefore, the probability of one person having a dog is 47%. To find the probability of both people having a dog, we need to multiply the probability of the first person having a dog by the probability of the second person having a dog. This is because the two events are independent of each other, meaning that the outcome of the first event does not affect the outcome of the second event.

So, the probability of both people having a dog is:

47% x 47% = 0.47 x 0.47 = 0.2209

To convert this to a percent, we multiply by 100:

0.2209 x 100 = 22.09%

Therefore, the answer is that there is a 22.09% chance that the two randomly chosen people both have dogs.

Learn more about probability here:

brainly.com/question/27342429

#SPJ11

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

The dimensions that will produce the maximum enclosed area for two adjacent rectangular safe play areas of equal size with 200 feet of fencing is 100 feet by 100 feet.

To solve this problem, use the area of a rectangle formula A = lw, where l is the length and w is the width.

Since the two play areas must be of equal size, let's call the length and width l and w, respectively.

We know that the total length of fencing is 200 feet, so l + w = 200 feet.

We can then solve for l by rearranging the equation as l = 200 - w.

We then substitute this into the area equation to get A = (200 - w)w.

To maximize the area, differentiate this equation to get A' = w - 200.

Set this to 0 and solve for w to get w = 100. Since l + w = 200, l = 100 as well.

Therefore, the maximum enclosed area is produced by dimensions of l = 100 feet and w = 100 feet.

For more such questions on Maximum enclosed area.

https://brainly.com/question/29116163#

#SPJ11

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

Learn more about normal distribution here

https://brainly.com/question/13759327

#SPJ4

Answer:

(b) distributive property

Step-by-step explanation:

When you multiply a number (a) by a sum of two other numbers (b + c), you can distribute the multiplication across the sum and get the same result as if you had multiplied a by each of the two numbers (b and c) separately, and then added the two products together.

For example, if a = 2, b = 3, and c = 4, then:

2 x (3 + 4) = 2 x 7 = 14

and

(2 x 3) + (2 x 4) = 6 + 8 = 14

so the distributive property holds in this case.

Answer:

Step-by-step explanation:

A

Answer:

m = -1

Step-by-step explanation:

Answer:

7:8

Step-by-step explanation:

First, convert their times to common units. You'll want to put it in seconds:

5 minutes and 50 seconds = 350 seconds

- multiply 5 minutes by 60 to get it into seconds and then add the other 50 seconds to it

- for Elizabeth's time, multiply 6 by 60 seconds and add 40 to it

To get the ratio of their times, divide Alison's time by Elizabeth's time:

350 ÷ 400 = 7:8

Answer:

a) 7:8

Step-by-step explanation:

Alison: 5 minutes and 50 seconds = 355 seconds

Elizabeth: 6 minutes and 40 seconds = 400 seconds

355:400, reduces to 71:80 or 7:8

885 mini bears

974 regular bears equals the size of a super bear while 1859 mini bears eqauls the size of a super bear therefore,there are 885 mini bears more than regular bears to make the size of a super bear.

Like,vote and follow for more