Jack is in a helicopter and looking down at two friends’ homes. The angle of depression to the first home is 72°. The angle of
depression to the second home is 49°. If the homes are 420m apart, what is the distance between the helicopter and the first
home?

Answer:

B is (3, 10)

Step-by-step explanation:

The midpoint of coordinates of the 2 points (x1, y1( and (x2, y2) is

(x1 + x^2) / 2 , (y1 + y2)/2.

So if (x, y) are the coordinates of B we have:

(7 + x)/2 + (2 + y)/2 = 5 + 6

So 7 + x = 2*5 so x = 3

AND 2 + Y = 12 SO y = 10.

Answer:

C) The sum of the first 2 terms after the fourth term.

Answer:

370

Step-by-step explanation:

Multiply the number of liters (L) by 1,000 to find the number of milliliters (mL). There are 1,000 times as many milliliters as there are liters. For instance, say you have 3 liters. Simply multiply 3 liters by 1,000 to get 3,000 milliliters.

Answer:

Rs 19 1/8

Step-by-step explanation:

Fromm the above question, we are told that:

The cost of 2/3 meters of rope = Rs 12 3/4

We are asked to calculate the cost per meter of rope.

Hence:

2/3 meters of rope = Rs 12 3/4

1 meter of rope = Rs x

Cross Multiply

2/3x = 1 × 12 3/4

x = 12 3/4 ÷ 2/3

x = 51/4 ÷ 2/3

x = 51/4 × 3/2

x = 153/8

x = Rs 19 1/8

Therefore, the Cost per meter of rope = Rs 19 1/8

Answer: b the y-intercept is located at (0,70)

The exponential curve passes through the point (0, 70). Then the correct option is B.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The table addresses a few focuses on the diagram of the outstanding capability that models the radioactive rot of an example of xenon-135.

At x = 4.6, the value of 'y' will be 49.5.

[tex]\rm 49.5 = ab^{4.6} \ \ \ \ \ \ \ ...1\\[/tex]

At x = 9.2, the value of 'y' will be 35.

[tex]\rm 35= ab^{9.2} \ \ \ \ \ \ \ ...2[/tex]

From equations 1 and 2, then we have

[tex]\rm \dfrac{b^{9.2}}{b^{4.6}} = \dfrac{35}{49.5}\\\\b^{4.6} = 0.707\\\\b = 0.927\\[/tex]

Then the value of 'a' will be

[tex]\rm 49.5 = a (0.927)^{4.6}\\\\a = 70[/tex]

Then the equation is given as,

y = 70 · (0.927)ˣ

The graph is given below.

The exponential curve passes through the point (0, 70). Then the correct option is B.

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Answer:

y = 88

Step-by-step explanation:

(I'm assuming that by \frac{y}{11} you mean y/11)

You can solve this by multiplying by 11 on both sides. y/11 = 8, so if you multiply by 11 on both sides, you get that y = 8 * 11, so y = 88

Answer:

the coordinates are (3,3)

Step-by-step explanation:

hope I helped!!

Answer:

65000

Step-by-step explanation:

Given data

Let the previous population be x

the increase was by 38%

The expression below describes the current population

38/100*x+ x=89700

0.38x+x= 89700

1.38x= 89700

x= 89700/1.38

x= 65000

Hence the previous population is 65000

Answer:

I think it is b but I could be wrong

3x-9=4

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

3(3x+9)=4(4x+5) distribute through multiplication

9x + 27= 16x + 20 subtract 9x and 20 from both sides

7 = 7x divide both sides by 7

x =1

check work

3(3(1)+9) = 4(4(1)+5) distribute the x

3(12) = 4(9)

36 = 36

Congrats I hope this helped!

Answer:

x=-2. y=3

Step-by-step explanation:

So, it tells us that x=2y-8.

Now substitute x into the equation.

-3(2y-8)+2y=12

- 6y+24+2y=12

-4y+24=12

-4y=-12

y=-12/-4

y=3

Now that we know that y=3 substitute y into the second equation equation.

x=2(3)-8

x=6-8

x=-2

So in the end x=-2 and y=3

Hope this helps

Answer:

y=3, and x= -2

Step-by-step explanation:

-3x= -2y+12

x=2y-8

3x=2y-12

3x=6y-24

2y-12=6y-24

-4y=-12

y=3

x= -2

Answer: 13

Step-by-step explanation:

Answer:

750$

Step-by-step explanation:

[tex]Amount= 300*\frac{1050}{420} =750[/tex]

It will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

To find out how much it will cost to tile a room with 1,050 square feet, we can set up a proportion using the given information.

Cost₁: The cost to tile the first room with an area of 420 square feet, which is $300.

Area₁: The area of the first room, which is 420 square feet.

Cost₂: The cost to tile the second room with an unknown area, which we want to find.

Area₂: The area of the second room, which is 1,050 square feet.

We can set up the proportion:

Cost₁ / Area₁ = Cost₂ / Area₂

Substituting the known values:

$300 / 420 sq ft = Cost₂ / 1,050 sq ft

Now we can solve for Cost₂:

Cost₂ = ($300 / 420 sq ft) * 1,050 sq ft

Calculating:

Cost₂ = $0.7143 * 1,050 sq ft

Cost₂ ≈ $750.01

Therefore, it will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

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Answer:

$3.996

Step-by-step explanation:

8%=0.08

49.95*0.08=3.996

Answer:

Andy is taller by one foot or 12 inches

Step-by-step explanation:

Ella = 66 inches = 5'6"

Andy = 6 1/2 feet = 6'6"

Andy is taller by one foot or 12 inches

Andy is taller by one foot or 12 inches

Given:

Ella is 66 inches and Andy is 6 1/2 feet.

12 inches = 1 feet.

Convert inches in to feet.

12 inches = 1 feet.

1 inches = 1/12 = 0.083

66 inches = (0.083 * 66) = 5.5 feet.

Andy = 6 1/2 feet = 6.5 feet.

6.5 > 5.5 (6.5 is greater than 5.5).

Andy is taller by one feet or 12 inches

Therefore, Andy is taller by one feet.

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Answer:

8aa

Step-by-step explanation:

Answer:

8aa is the correct answer of this question

Answer:

B

Step-by-step explanation:

Factor out 1/4.

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

Answer: B

Answer:

C. x = 63

Step-by-step explanation:

X ÷ 3 = 21 is the same as 3 × 21 which is 63.

Answer:

?

Step-by-step explanation:

Answer:

217-245=-28

Step-by-step explanation:

Add $28 to $217, which is $245. Then subtract 245 from 217.

Answer:

You didnt put any answer choices but by applying that scale factor, I got these measurements in the order you put them in. 0.5. 1.25. 1.75. 3.

Answer:

80

Step-by-step explanation:

15/100x=12

3/20x=12

x=12*20/3=80

if my answer helped please mark as brainliest.

Answer:

if 15% of all parents polled volunteered, then 80 parents were asked to volunteer.

Step-by-step explanation:

Okay so basically 12 is 15% of a number therefore 12/? = 15%/100?

So we multiply 12 x 100= 1200

Then divide 1200 ÷ 15 to get your answer.

1200 ÷ 15 = 80

Answer:

x = 7.5

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

if you put 3 in the x it is now 3 but the x it is there with the 3 and do 3 with the 4.5 and then add them to each of them then you get your answer

9514 1404 393

Answer:

  288 square feet

Step-by-step explanation:

The area of a triangle is given by ...

  A = 1/2bh

For a right triangle, the leg lengths can be used for b and h.

  A = 1/2(18 ft)(32 ft) = 288 ft²

The area of the right triangle is 288 square feet.

Answer:

[tex]y=-\frac{1}{5}x+\frac{6}{5}[/tex]

Step-by-step explanation:

Let's solve for x.

[tex]x+5y=6[/tex]

Step 1: Add -5y to both sides.

[tex]x+5y+-5y=6+-5y[/tex]

[tex]x=-5y+6[/tex]

Answer:

[tex]x=-5y+6[/tex]

Let's solve for y.

[tex]x+5y=6[/tex]

Step 1: Add -x to both sides.

[tex]x+5y+-x=6+-x[/tex]

[tex]5y=-x+6[/tex]

Step 2: Divide both sides by 5.

[tex]\frac{5y}{5}=\frac{-x+6}{5}[/tex]

[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]

Answer:

[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]

Answer:

(0,-6) and (12,0)

Step-by-step explanation:

These two points form a line that follow the rule of the equation

Answer:

45

Step-by-step explanation: