65 points!!!!!!!!!
Malaya is standing directly between a 90 foot tall courthouse and a 54 foot tall bank. If the angle of elevation from the point where Malaya is standing to the top of the courthouse is 72 degrees, while the angle of elevation to the top of the bank is 35 degrees. What is the distance between the courthouse and the bank? Show all your work to get credit!

Answers

Answer 1

Answer:

106.36 ft

Step-by-step explanation:

Let the distance from the point Malaya is standing to the courthouse be x and the distance to the bank is y

x + y is the distance between the courthouse and the bank

Then we have:

x/90 = cot 72° ⇒ x = 90 cot 72° = 90*0.3249196962 = 29.24 ft (rounded)y/54 = cot 35° ⇒ y = 54 cot 35° = 54*1.4281480067 = 77.12 ft (rounded)x + y = 29.24 + 77.12 = 106.36 ft
Answer 2

Answer:

106.3ft

Step-by-step explanation:

x= tan72=90/x

x= 90/tan 72

x= 29.2

y= tan35=54/y

y= 54/tan35

y= 77.1

x+y= answer

29.2 + 77.1 = 106.3


Related Questions

Solve this system by substitution, y = 4x + 12. -3x + 2y = 4​

Answers

Step-by-step explanation:

in equation 1

y=4x+12

so now

eqs 2

2y=4+3x

then

-y=x+8

y= -x-8

so

-x-8=4x+12

-20=5x

-4=x

so

y= 4-8

y=-4

PLEASE HELP!!

I COULDNT PAY ATTENTION IN CLASS TODAY

Answers

I’m pretty sure it’s 6x20=120 and then for the other missing box it’s 120

write a congruence statement for the figures below . pleeasse show your work ​

Answers

Answer:

[tex] \triangle FDE \cong \triangle RTS[/tex]

Step-by-step explanation:

[tex] In \:\triangle FDE \:\&\:\triangle RTS[/tex]

[tex] FD \cong RT... (given) [/tex]

[tex] \angle FDE \cong \angle RTS... (given)[/tex]

[tex] DE \cong TS... (given) [/tex]

[tex] \therefore \triangle FDE \cong \triangle RTS\\(by\: SAS\: postulate)[/tex]

2x+3y+3x it has me write more but thats my whole problem lol

Answers

Answer:

If we simplify, 5x+3y

Step-by-step explanation:

simplify (5 square root 2) * ( 3 square root 2 )

Answers

Answer:

30

Step-by-step explanation:

multiply 5 x 3 and you get 15 then multiply the roots and you also get 2 so then you have to multiply 5 and 2 to get 30.

The solution is : the simplification of 5√2 × 3 √2 is:  30.

Here, we have,

given that,

5√2 × 3 √2

now, we need to simplify this, i.e. we have to multiply this.

so, we get,

multiply 5 x 3 and we get 15

then multiply the roots and we also get 2

i.e. √2 ×√2 = 2

so then you have to multiply 15 and 2 to get 30.

i.e. 15 * 2 = 30

so, we have,

5√2 × 3 √2

= 5 × 3 × √2 ×√2

=15 × 2

=30

Hence, The solution is: the simplification of 5√2 × 3 √2 is:  30.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ6

Find the correct value for x in the point (x, 15), which is a point on the line in the graph below

Answers

The answer would be x = 16


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

(1, 72) (2, 73)

(73 - 72)/(2 - 1)= 1/1= 1

y - 72 = x - 1

y = x + 71

Need help with this please

Answers

Answer:

...

Step-by-step explanation:

There is a guide at the bottom of your page

Answer:

Not certain what m means but ^c=85.2°

Step-by-step explanation:

Use sin rule SinA a=SinBb.

Sin3924=SinC38

38×sin3924=sinC

Hope it will help you my only request is plz put it in brainliest answer if possible then on verified answer plz plz plz plz plz

a platform is 10 m long and 8m
wide what is the area of the platform

Answers

Answer:

80 meters squared

Step-by-step explanation:


Find exact radius of circle please help!

Answers

Answer: Radius = 6 inches

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

Explanation:

Let r be the radius we want to find

The area of the full circle is A = pi*r^2

The unshaded portion is 60 degrees, so the unshaded portion must be 360-60 = 300 degrees.

The full area was pi*r^2, but we only want 300/360 of that full area.

So,

s = shaded area

s = (300/360)*(full circle area)

s = (300/360)*(pi*r^2)

s = 30pi

(300/360)*(pi*r^2) = 30pi

(300/360)*r^2 = 30

(5/6)*r^2 = 30

5r^2 = 30*6

5r^2 = 180

r^2 = 36

r = sqrt(36)

r = 6

The radius is 6 inches.


A boat can travel 246
miles on 82 gallons of
gasoline. How much
gasoline will it need to
go 18 miles?

Answers

82/146 = x/18 cross multiply and x= 6 so 6 gallons.

Mr. Jimerson records the amount of snowfall that the local area recieves. 12am-1am: 0.3 inches | 1am-2am: 0.8 inches | 2am-3am: 1.36 inches |3am-4am: 2.019. If the total amount of snowfall at 7am is 7.8 inches. How much snow fell between 4am-7am? hurry pls

Answers

Answer:

5.781 inches.

Step-by-step explanation:

Since Mr. Jimerson records the amount of snowfall that the local area recieves, recording the following data: 12 am-1am: 0.3 inches | 1 am-2am: 0.8 inches | 2 am-3am: 1.36 inches | 3 am-4am: 2.019, if the total amount of snowfall at 7am is 7.8 inches, to determine how much snow fell between 4 am-7am the following calculation must be performed:

7.8 - 2.019 = X

5.781 = X

Therefore, since the amount of snow accumulated at 7 am was 7.8 inches, the snowfall between 4 and 7 am was 5.781 inches.

Select the most specific name for the quadrilateral shown.
O parallelogram
O rhombus
O rectangle
square

Answers

Answer:

Square

Step-by-step explanation:

square - (geometry) a plane rectangle with four equal sides and four right angles

The sum of 4 consecutive odd integers is 40. Find the first number algebraically.

Answers

Step-by-step explanation:

2n+1+2n+3+2n+5+2n+7

8n+16=40

8n=40-16

8n=24

n=3

4 3/20 as a fraction

Answers

83/20 Explanation: 20x4=80. 80+3=83

Answer: 83/20

Step-by-step explanation:

Take a mixed number (whole number with a fraction) and turn it into an improper fraction (numerator is more than the denominator)

To do this, multiply the denominator (20) by the whole number (4) and add the numerator (3) to it. 20x4+3= 83. This is your new numerator. Now just simply write this over the original denominator of 20. = 83/20

Find all real zeros of the function y=-9x-1
A. -9
B. 1/-9
C. 1/9
D. -9 -1
Please select the best answer from the choices proided

Answers

Answer:

OPTION D

Explanation:

For zeros of the function (y is the function, a function of x) we need y = 0 so that in turn means we need - 9x - 1 = 0 or - 9x = 1 (i.e. add 1 to both sides); now divide by - 9, and x = 1/-9 which is exactly the same as - 1/9 or - (1/9) and this is the only zero of the function.

or

If y = -9x - 1,

When y = 0

0 = -9x - 1

0 + 1 = -9x - 1 + 1

1 = -9x

1/9 = -9x/9

1/9 = -x

1/[9 X (-1)] = -x/-1

- (1/9) = x

When x = 0

y = (-9 X 0) - 1

y = 0 - 1

y = - 1

What’s this answer plzz

Answers

Answer:

y=1/2x+7

Step-by-step explanation:

No work needed

A bookstore is having a sale. Every book is $2 off,
regardless of the original price.
The sale price for every book is $2 less than the original
price.
Let x = original price
Let y = sale price
Which equation represents this situation?

Answers

Answer: y = x -2

Step-by-step explanation:

Answer:

y = x - 2

Step-by-step explanation:

I took the Test

Please help I’d it no solution, infinitely many solution, one solution.

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Since the graph is linear, it'll have many solutions and the arrows tell you that it's endless

please answer.................................................

Answers

Answer:

first is 20 second is 40 third is 60 and last is 80

Step-by-step explanation:

A triangle is drawn that has a 50angle, an 80angle and a side 5 centimeters in length Select True or False for each statement about this triangle

Answers

Answer:

True

False

False

Step-by-step explanation:

giving 5 stars

Lucy made 9 pies in 2 hours. She made the same number of pies each hour. Which of the following equations represents the number pies Lucy made each hour
A:9÷7
B:9÷2
C:7÷9
D:2÷9​

Answers

the answer is choice B

What is the solution to the system?

1/2x + 3/2= -7
-3x + 2y = -2

Answer: (-2, -4)

Answers

Answer:

the (x, y) pair solution to the system is: (-2, -4)

That is x = -2 and y = -4

Step-by-step explanation:

I presume there is a variable y missing in the first equation, and in fact the system looks like:

(1/2) x + (3/2) y = - 7

- 3 x + 2 y = -2

In such case, we proceed to multiply both sides of tye first equation by 6

6 (1/2) x + 6 (3/2) y = - 42

3 x + 9 y = - 42  and we add term by term this equation to the second one, so as to cancel out the term in x:

3 x + 9 y = - 42

- 3 x + 2 y = -2

_____________

11 y = - 44

divide both sides by 11 to isolate y

y = -44 / 11 = -4

Then with the value y = -4, now we replace it in the second equation to solve for x:

- 3 x + 2 y = - 2

- 3 x + 2 (- 4) = -2

- 3 x - 8 = - 2

add 8 to both sides

- 3 x = 6

divide both sides by (-3) to isolate x

x = 6 / (-3) = - 2

Therefore the (x, y) pair solution to the system is: (-2, -4)

That is x = -2 and y = -4

-4x< 8 help please solving one step inequalities

Answers

Answer:

x>-2

Step-by-step explanation:

when dividing by a negative number, the inequality sign flips.

Answer:

x > -2

Step-by-step explanation:

-4x< 8   (divide both sides by -4)

-x < 8/4

-x < 2    (divide or multiply both sides by -1, remember to flip the inequality when multiplying or dividing by -1)

x > 2 (-1)

x > -2

what two integer are closest to negative 20​

Answers

Answer:

-19 -21

Step-by-step explanation:

ez

A car is purchased for $8300. The depreciation is calculated on the diminishing value at 10% for the first 3 years and at 15% for the next 3 years. Find the value of the car after a period of 6 years.

Answers

Answer:

3,715.886

Step-by-step explanation:

8300 * 0.9 3 times to get the 10% then that * 0.85 3 times to get the 15%

a dog weighs 8 lb in January and February the dogs weight increase to 9.2 lb in April the dog who is increased to 11.5 lb. Find the percent of increase in the dog way from January to February​

Answers

From January to February, the dog increases by 1.2lbs.

1.2lbs/8lbs= 0.15

15% increase

10 x 25 2/5 equals what

Answers

Answer:

254 is your answer

A. Give two examples of addition of Like Fractions.

B. Give two examples of Subtraction of Like Fractions

C. Give three examples of multiplication of Fractions.

D. Give two examples of Addition of Unlike Fractions.

E. Give two examples of Division of Fractions.


IM GIVING BRAINLIEST AND 30 POINTS!!

Answers

Answer:

A: 3/5 + 2/5 = 5/5

A: 3/5 + 1/5 = 4/5

B: 3/5 - 2/5 = 1/5

B: 3/5 - 1/5 = 2/5

C: 3/5 x 2/5 = 6/25

C: 3/5 x 1/5 = 3/25

C: 2/5 x 1/5 = 2/25

D: 1/2 + 1/4 = 3/4

D: 4/5 + 4/10 = 6/5

E: 4/6 ÷ 2/6 = 2

E: 1/6 ÷ 1/6 = 1

Step-by-step explanation:

Obtuse triangles have only one obtuse angle.

True or false

Answers

Answer: true

Step-by-step explanation:

Answer:

yes, obtuse angles have only one obtuse angle.

hence, it's true.

Step-by-step explanation:

A triangle can't have more than one obtuse angle , because if there are more than one obtuse angle the sum of measures of all interior angles will exceed 180°, which isn't possible.

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