From point A and B on level ground, the angles of
elevation of the top of a building
Are 25 degree and 37degrees respectively
1f AB= 57m calculate to the nearest metre the distance of the top building from A and B if they are both on the same side of
the building

Answers

Answer 1

Answer:

Step-by-step explanation:

Call T the top

call G the bottom

T G B is a right triangle

37 at B, 90 at G, thus 53 at BTG

TGA is a right triangle

25 at A, 90 at G, thus 65 at ATG

thus 122 at ABT

law of sines:

sin 25 / BT = sin 12/ 57

so BT = 156 meters (first answer)

now angle ABT = 180 - 12 - 25

= 143

so

sin 143 /AT = sin12/57

AT = 164 meters, second answer


Related Questions

What description below represents the pattern?

Answers

Step-by-step explanation:

In my opinion this pattern is adding 2 boxes each time

please help me on this i’ll mark u the brainliest

Answers

Answer: 18 degrees

Step by step:
3 angles in a triangle add up = 180 degrees
180 - 63 - 99 = 18
so a = 18 degrees

Hope this helps!

Karen Sullivan delivers newspapers for the Tribune dispatch. She receives 18.2 cents per paper, six days a week (for the daily paper), and $.70 for the Sunday paper. She delivers 124 daily papers each day and 151 Sunday papers each week what is your total pay.

Answers

Answer:

About $241.11

Step-by-step explanation:

So, Karen receives 18.2 cents per paper.

She delivers 124 paper per day.

In other words, on days other than Sunday, she will make a total of:

[tex]18.2(124)=2256.8\text{ cents}[/tex]

On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:

[tex]70(151)=10570\text{ cents}[/tex]

Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be:

[tex]6(2256.8)+10570=24110.8\text{ cents}\approx\$241.11[/tex]

does someone know this ??!

Answers

Answer:

y = -4x + 3

Step-by-step explanation:

(0, 3) & (1, -1)

slope: (y² - y¹) / (x² - x¹)

(-1 - 3) / (1 - 0) = -4 / 1 = -4

y = -4x + b

plug in to find y-intercept (b)

3 = -4(0) + b

3 = 0 + b

b = 3

y = -4x + 3

Answer:

wait yooooo

Step-by-step explanation:

i just did that plz log into this u go to AOA also brooo we can help each other!!!!

Could someone please help me with this? We are meant to use Pythagoras theorem to solve to solve this question

Answers

Answer:

3.92*10^3mm

Step-by-step explanation:

In the diagram it gives you 7900mm. There is a figure which was given underneath written 900mm. use 7900 to subtract 900 you will get 7000. Then you can use the Pythagoras theorem to solve it, with a= height, b=5800mm and c=7000mm where, a^2+b^2=c^2.

Answer:

3919 mm

Step-by-step explanation:

Length of hypotenuse = 7900 - 900 = 7000 mm

Base = 5800 mm

Let the height of the triangle be h mm

Therefore, by Pythagoras theorem:

[tex] h = \sqrt{7000^2 - 5800^2} [/tex]

[tex] h = \sqrt{49000000- 33,640,000} [/tex]

[tex] h = \sqrt{15,360,000} [/tex]

[tex] h = 3,919.18359\: mm[/tex]

[tex] h = 3,919\: mm[/tex]

does anyone know how to substitute -2 into this equation -2x + ( 12 - 9 ) = 2 + 9 + -2x
if you do please help

Answers

Answer:

-2(-2) + (12-9) = 2 + 9 + -2(-2)

Step-by-step explanation:

What is 5/8 of $44.83? Round to the nearest cent (hundredth).

Answers

Answer:

$28.02

Step-by-step explanation:

5/8 of 44.83

0.625 • 44.83 = 28.01875

≈ 28.02

Answer:

$28.02

Step-by-step explanation:

5/8 of $44.83

(5 * 44.83) / 8

$28.02

which term is a term in this expression? -3x-7(x+4)​

Answers

-7 is the term in the given expression in this problem

Please help with the question below

Answers

There is no answer below

If the numbers 4, 5 and 6 are each used exactly once to replace the letters in the expression A ( B − C ), what is the least possible result?

Answers

Answer:

The least possible result is -10.

Step-by-step explanation:

Given the numbers 4, 5 and 6 are to be chosen one of the letters A, B or C.

First of all,

Let A = 4, B = 5 and C = 6

[tex]A(B-C) = 4 \times (5-6) = 4 \times -1 = -4[/tex]

Let A = 4, B = 6 and C = 5

[tex]A(B-C) = 4 \times (6-5) = 4 \times 1 = 4[/tex]

Let A = 5, B =4 and C = 6

[tex]A(B-C) = 5 \times (4-6) = 5 \times -2 = -10[/tex]

Let A = 5, B = 6 and C = 4

[tex]A(B-C) = 4 \times (6-4) = 4 \times 2 = 8[/tex]

Let A = 6, B = 4 and C = 5

[tex]A(B-C) = 6 \times (4-5) = 6 \times -1 = -6[/tex]

Let A = 6, B = 5 and C = 4

[tex]A(B-C) = 6 \times (6-5) = 6 \times 1 = 6[/tex]

Summarizing the above values in the form of a table:

[tex]\begin{center}\begin{tabular}{ c c c c}A & B & C & A(B-C)\\ 4 & 5 & 6 & -4\\ 4 & 6 & 5 & 4\\ 5 & 4 & 6 & -10\\ 5 & 6 & 4 & 10\\ 6 & 4 & 5 & -6\\ 6 & 5 & 4 & 6\end{tabular}\end{center}[/tex]

So, the least possible result is -10.

Answer:

-10

Step-by-step explanation:

you want to multiply by the smallest number, so the parantheses should be (smallest number-largest number)

(4-6)5=-2*5=-10

which points are coplanar and noncollinear?​

Answers

Answer:

A, B, D

Step-by-step explanation:

coplanar are in the same plane

colinear are along the same line so non collinear means not along the same line

A ,B , C ,D are co - planar since they are in the same plane

A,  C ,D are along the same line

We want points that are co planar and not along the same line, which means we need to include point B

A, B, D

are in the same plane but not along the same line

coplanar and noncollinear

Shawna is buying a rug for her room store a has the rug for $45 with a 10% discount store B has the same rug for $46 and is offering a $10 off coupon the sales tax is 6% on either purchase if sauna only has $40 to spend which store will see purchased a rug from and how much better Will she have left over

Answers

Answer:

Shawna buys her rug at STORE B and she has $1.84 left over after purchasing her rug.

Step-by-step explanation:

Store a

Store a sells their rug for $45

Store a offers a discount of 10%

Discount = 10% × $45 = $4.5

Amount payable after discount = $45 - $4.5

= $41.5

There is a sales tax of 6%

The total amount payable

Amount of sales tax + Discounted price of rug

Amount of sales tax = 6 % × $41.5

= $2.472

= Discounted amount + Sales tax

= $41.5 + $2.472

=$43.972

Store b

Store a sells their rug for $46

There is a sales tax of 6%

The total amount payable

Store b offers a 10 dollar coupon off for the rug

= $46 - 10

Amount payable after = $36

Amount of sales tax + price of rug(After coupon is deducted)

Amount of sales tax = 6 % × $36

= $2.16

Amount payable by Shawna in Store a = $36 + Sales tax

= $36 + $2.16

=$38.16

Since Shawna has , only $40 to spend, she buys her rug at STORE B

The amount she has left = $40 - $38.16

= $1.84

factorise 6x²-14x-12​

Answers

Answer:

2(x - 3)(3x + 2)

Step-by-step explanation:

Given

6x² - 14x - 12 ← factor out 2 from each term

= 2(3x² - 7x - 6) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 6 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the x- term

3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )

= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term

= (x - 3)(3x + 2)

Thus

3x² - 7x - 6 = (x - 3)(3x + 2) and

6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form

8 - 3(k + 2) = 2-3k

Answers

Answer:

Any value of  k  makes the equation true.  

All real numbers

Interval Notation:

( − ∞ , ∞ )

Simplify the expression. Write your answer as a power.

(-1/2)^3 x (-1/2)^6

What is the expression?

Answers

Answer:

The answer is

[tex]( { - \frac{1}{2} })^{9} [/tex]

Step-by-step explanation:

[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} [/tex]

Use the rules of indices

Since they have the same base and are multiplying we add the exponents

That's

[tex] {a}^{x} \times {a}^{y} = {a}^{x + y} [/tex]

So we have

[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} = ({ - \frac{1}{2} })^{6 + 3} [/tex]

We have the final answer as

[tex]( { - \frac{1}{2} })^{9} [/tex]

Hope this helps you

What does N equals in the following equation? N +6+9=32 multiple choice answers are ? A.) 10 B) 20 C) 30

Answers

Answer

[tex] \boxed{ \boxed{ \bold{ \purple{N = 17}}}}[/tex]

Step by step explanation

[tex] \sf{N + 6 + 9 = 32}[/tex]

Add the numbers

⇒[tex] \sf{N + 15 = 32}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{N = 32 - 15}[/tex]

Calculate the difference

⇒[tex] \sf{N = 17}[/tex]

Hope I helped!

Best regards!!

N + 6 + 9 = 32

N = ?

N = - 6 - 9 + 32

N = - 15 + 32

N = 17 ✔️

Write the quotient as a mixed number.
94 divided by 7 = 13 R3

Answers

Answer:

13 3/7

Step-by-step explanation:

94÷7=13 r3

13 and 3 over 7

What type of numbers can be written as a fraction. This includes repeating and terminating decimals * Natural Numbers O Whole Numbers O Integer Numbers O Rational Number​

Answers

Answer: the answer is rational because there is a finite(limited) number of numbers when written as a decimal .

does anyone know this?

Answers

domain -∞, ∞ ,{g/g ER}

range 0,∞, {y/y≥}

Answer:

The third option is correct.

Step-by-step explanation:

The square root cannot be negative so  its minimum  value is 0  and its maximum is 3.

So the domain is [-3, 3] and the range is [0+4, 3 + 4] = [4, 7].

The relation shown in the graph is a function. True or false

Answers

I believe it is true.

Answer:

True. Brainlyest plz

Analyze the diagram to answer the questions another way to name sac would be

Answers

Answer:

CAS, T, RAB

Step-by-step explanation:

What was the upper quartile of the class sizes?

Answers

Answer:

26

Step-by-step explanation:

The upper quartile is the value at the right side of the box, that is

upper quartile = 26

Answer: 26 I hope this helps :)

Solve for y. * y - 9 = 16​

Answers

Answer:

y = 25

Step-by-step explanation:

y - 9 = 16

y = 16 + 9

y = 25

Answer:

y = 25

Step-by-step explanation:

y - 9 = 16

=> y = 16 + 9

=> y = 25

The probability that Skene will be alive in 5 years' time is ¾ and the probability that his wife Am in a will be alive in 5 years' time is 2/5. Find the probability that in 5 years' time (a) both of them will be alive (b) only Ekene will be alive Teachers in charge​

Answers

Answer:

  (a) 3/10

  (b) 9/20

Step-by-step explanation:

In order to answer this question, we must assume the probabilities are independent.

(a) p(both alive) = p(S alive)×p(A alive) = (3/4)(2/5) = 3/10

__

(b) p(only S alive) = p(S alive)×p(A not alive) = (3/4)(1 -2/5) = 9/20

A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular area. The area that is inside the circle, but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g(m), where m is the area requiring mulch.

Answers

Answer:

The equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].

Step-by-step explanation:

The equations m (x) and g (m) are as follows:

[tex]m(x)=\pi x^{2}-2\sqrt{2}x^{2}\\g(m)=1.50m[/tex]

It is provided that the cost of mulch requires is represented by the function g(m), where m is the area requiring mulch.

To compute the equation of cost of mulch based on the radius of the circle substitute the value of m (x) in g (m).

The equation of cost of mulch is:

[tex]g(m) = 1.50m[/tex]

        [tex]=1.50\times m(x)\\\\=1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex]

Thus, the equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].

Answer:

the answer is A

Step-by-step explanation:

edge

65) Driving time: A family is planning to drive 549 miles from their home in Lincoln, Nebraska, to Mount
Rushmore National Park. They plan to drive at an average speed of 61 miles per hour. How much time will they
spend driving?

Answers

549 Divided By 61 Is The Number Of Hours

40 + (12) (27) + 18=

Answers

Answer:

Hey there!

40+12(27)+18

40+324+18

364+18

382

Let me know if this helps :)

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{382}}}}[/tex]

Step-by-step explanation:

[tex] \sf{40 + (12)(27) + 18}[/tex]

Multiply the numbers : 12 and 27

⇒[tex] \sf{40 + 324 + 18}[/tex]

Add the numbers : 40 , 324 and 18

⇒[tex] \sf{382}[/tex]

Hope I helped!

Best regards!!

The graph of y=f(x) is shown below. Find the value of f (0)

Answers

Answer:

f(0) = 2

Step-by-step explanation:

Read from the graph the value "y" that the line presents when "x" is zero. That is the f(0) you are looking for.

See attached screen capture with the point highlighted

f(0) according to the image provided is equal to 2.

f(0) = 2

SOMEONE HELP!! I GOT 2,051 FOR 5! is that right??
i’ll give brainliest

Answers

Answer:

Hey there!

Sorry, but you are incorrect.

p(x)=7x+25

f(x)=2x^2+3

f(1)=2(1)^2+3, or 5.

p(5)=7(5)+25=60

Let me know if this helps :)

Zlatko, a construction supervisor, has signed a contract worth $87 000 to ensure that a factory
is built by June 30. He will receive a bonus of 1.5% of his contract for each day the job is completed ahead of time. How much will Zlatko earn if the factory is completed on June 22?

Answers

Bonus each day: 1.5% x $87000 = $1305
June 30 - june 22 = 8 days
Zlatko earn: $87000 + (8x$1305)= $87000 + $10440 = $97440
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