The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63° 43’.How far Where is the park bench from the building? round to the nearest whole number

Answer:

[tex]A_1 = 12[/tex]

[tex]A_n = A_{n-1} + 3[/tex]

Step-by-step explanation:

Given

[tex]A_n =12+(n-1)3[/tex]

Required

Write as recursive

We have:

[tex]A_n =12+(n-1)3[/tex]

Open bracket

[tex]A_n =12+3n-3[/tex]

[tex]A_n =12-3+3n[/tex]

[tex]A_n =9+3n[/tex]

Calculate few terms

[tex]A_1 =9+3*1 = 9 + 3 = 12[/tex]

[tex]A_2 =9+3*2 = 9 + 6 = 15[/tex]

[tex]A_3 =9+3*3 = 9 + 9 = 18[/tex]

The above shows that the rule is to add 3.

So, we have:

[tex]A_1 = 12[/tex]

[tex]A_n = A_{n-1} + 3[/tex]

Answer:16 degree is the answer.

Since r and m are parallel:

10x-3=7x+45

3x=48

x=16

Answer:

The right answer is "605 persons".

Step-by-step explanation:

Given that,

⇒ [tex]\frac{dP}{dt} \alpha P[/tex]

or,

⇒ [tex]\frac{dP}{dt} =RP[/tex]

⇒ [tex]\frac{1}{R} \int\limits^{PT}_{500} {\frac{dP}{P} } = \int\limits^{t}_{0} dt[/tex]

⇒ [tex]\frac{1}{R} [log PT-log500]=t[/tex]

⇒                  [tex]log[\frac{PT}{500} ]=Rt[/tex]

At t = 10 years,

⇒ [tex]PT=\frac{110}{100}\times 500[/tex]

          [tex]=550[/tex]

∴ [tex]log[\frac{550}{500} ]=R\times 10[/tex]

            [tex]R=\frac{log(1.1)}{10}[/tex]

At t = 20,

⇒ [tex]log{\frac{PT}{500} }=\frac{log \ 1.1}{10}\times 20[/tex]

        [tex]PT=500\times (1.1)^2[/tex]

              [tex]=605 \ persons[/tex]

Answer:

Answer:

45 is answer I guess cuz my teacher taught me just like that

Answer:3.31662479036.

Step-by-step explanation:To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036. Register at BYJU'S to learn other interesting mathematical concepts.

Answer:

use miss r sir hope I helped you

Answer:

C: x=-10

Step-by-step explanation:

Alternate interior angles are congruent to each other meaning that x+80=70 making x equal to -10. I hope this helped and this is one of my favorite units so post more these questions :)

Answer:

0.14545454545 Maybe

Step-by-step explanation:

Answer:

8/55

Step-by-step explanation:

The first thing you need to do is find a common denomintor.

The first denominator is 5, the other is 11.

If you multiply these together, you will get 55. This can not be reduced and still be divisable by 5 and 11, so this is your new denominator.

So for the 3/5 multiply both top and bottom by 11, since thats how many times bigger the denominatir needs to be:

3*11/5*11= 33/55

Then for 5/11 multiply both top and bottom by 5, since thats how many times bigger the denomator is to make 55:

5*5/11*5=25/55

Now we have:

33/55-25/55

When subtracting fractions, you are only subtracting the two numerators, and the denominators are unaffected:

33-25/55=8/55

So 8/55 is your answer.

Hope this helps!

Answer:

scalene

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]g(h(1011)) = 2010[/tex]

Step-by-step explanation:

Given

[tex]g(x) = x - 4[/tex]

[tex]h(x) =2x - 8[/tex]

Required

[tex]g(h(1011)[/tex]

First, we calculate [tex]g(h(x))[/tex]

[tex]g(x) = x - 4[/tex]

Substitute h(x) for x

[tex]g(h(x)) = h(x) -4[/tex]

Substitute [tex]h(x) =2x - 8[/tex]

[tex]g(h(x)) = 2x - 8 -4[/tex]

[tex]g(h(x)) = 2x -12[/tex]

Substitute 1011 for x

[tex]g(h(1011)) = 2*1011 -12[/tex]

[tex]g(h(1011)) = 2022 -12[/tex]

[tex]g(h(1011)) = 2010[/tex]

Answer:

6

Step-by-step explanation:

just did it on egde 2021

Answer:

1.3 seconds ; 13 tenth of a second

Step-by-step explanation:

Fastest ever qualifying lap = 1 minute 29.6 seconds

Fastest ever racing lap = 1 minute 30.9 seconds

The difference :

1 minute 30.9 seconds - 1 minute 29.6

30.9 seconds - 29.6 seconds = 1.3 seconds

1.3 seconds = 1.3/0. 1 = 13 tenth of a second

Answer:

DF = 11

Step-by-step explanation:

From the question given above, the following data were obtained:

EH = 8

HG = 3

EF = DG

DF =?

Since, EF = DG, it also means that EG = DF.

Next we shall determine EG. This can be obtained as follow:

EG = EH + HG

EH = 8

HG = 3

EG = 8 + 3

EG = 11

Finally, we shall determine EF. This is illustrated below:

EG = DF

EG = 11

DF =?

11 = DF

Therefore,

DF = 11

Answer:

-5y-12

Step-by-step explanation:

Multiply 6 into 2y

7y-12y-12

-5y-12

Answer:

y = 3/2x + 15

Step-by-step explanation:

change f(x) to 'y='

interchange 'x' and 'y' then solve for 'y':

y = 2/3x - 10

x = 2/3y - 10

x+10 = 2/3y

multiply each side by 3/2 to get:

y = 3/2x + 15

Answer:

0

Step-by-step explanation:

D = 20²-4(5)(20) = 400-400 = 0

Answer:

the answer is a.12

i think

Answer:

17.25

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

See image below:)

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-4/5x = 8

Step 2: Solve for x

Answer:

[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.

Step-by-step explanation:

Equation for an concentration increasing exponentially:

The concentration after t years, considering that it increases exponentially, is given by the following equation:

[tex]C(t) = C(0)(1 + r)^t[/tex]

In which C(0) is the initial concentration and r is the growth rate, as a decimal.

The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.

This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus

[tex]C(t) = C(0)(1 + r)^t[/tex]

[tex]C(t) = 85(1 + 0.046)^t[/tex]

[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.

Answer:

Multiply the numbers by 5

Step-by-step explanation:

Mark me brainlist?

The answer is 28 ez.

Answer:

the answer is 28

Step-by-step explanation:

Step-by-step explanation:

2*10+((4+10)x8)/2

=20+14*8/2

=76 sq meters

Answer:

Yes , and u can learn a lot just by answering an asking questions

Answer: See explanation

Step-by-step explanation:

1. The average recovery time for all heart attack patients that the cardiologist has or will treat. = Parameter

2. All heart attack patients that the cardiologist has cared for or will care for in the future = Population.

3. The average recovery time for the 32 heart attack patients = Statistics

4. The 32 heart attack patients who were observed by the cardiologist = Sample

5. The list of all 32 heart attack patients' recovery times = Data

6. The recovery time for a heart attack patient. = Variable

Answer:

17,576,000 different license plates are possible.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

For each letter, there are 26 possible outcomes.

For each digit, 10 possible outcomes.

So

L - L - L - D - D - D

Number of possible outcomes:

26 - 26 - 26 - 10 - 10 - 10

Each character of the license plate is independent, so, by the fundamental counting principle:

26*26*26*10*10*10 = 17,576,000

17,576,000 different license plates are possible.

Answer:

angle A=54 degree

angle B =36 degree

Step-by-step explanation:

let angle B be x

angle A=x+18

since they are complementary angles sum of these two angles will be 90 degree

x+x+18=90

2x=90-18

2x=72

x=72/2

x=36 degree

substitute the value of x to find angle A and angle B

for angle A

x+18

36+18

54 degree

for angle B

angle B =x

=36 degree

Answer:

Step-by-step explanation:

16c^4p^2 + 20cp^3

take common

=4cp^2(4c^3 + 5p)

Given the expression below:

[tex] \large \boxed{16 {c}^{4} {p}^{2} + 20c {p}^{3} }[/tex]

We can factor out c-term, p² and 4 (from 16 and 20)

[tex] \large{4c {p}^{2} (4 {c}^{3} + 5p)}[/tex]

Answer

Answer:

89

Step-by-step explanation:

341 ( total of previous 4 tests)   + 89= 430  

Divide 430 by 5 ( number of tests)