Quadrilateral MNOP is similar to quadrilateral SRUT.
Which proportion can be used to find the value of x?​

Answer:

142.5

Step-by-step explanation:

150/x=100/95

95*150/100=

142.5

The airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).

Here,

Let's consider the situation described in the problem:

An airplane is flying 2 miles over the ocean, directly toward a coastline. The angle of depression from the airplane to the coastline is 15 degrees. We want to find out how much farther the airplane has to fly before it is directly above the coastline.

Let's represent the distance the airplane needs to fly before it is directly above the coastline as "x" miles.

Now, we have a right-angled triangle formed by the airplane, the coastline, and the point directly below the airplane on the coastline (the foot of the perpendicular).

The angle of depression is the angle between the horizontal line (the coastline) and the line of sight from the airplane to the foot of the perpendicular.

Since we know the angle of depression and the length of the opposite side (the height of the airplane above the coastline, which is 2 miles), we can use trigonometry (specifically, the tangent function) to find the length of the adjacent side, which is the distance the airplane needs to fly (x miles).

The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side:

tan(angle) = opposite / adjacent

In our case, the angle is 15 degrees, the opposite side is 2 miles, and we want to find the adjacent side (x miles):

tan(15°) = 2 / x

Now, solve for x:

x = 2 / tan(15°)

Using a calculator:

x ≈ 2 / 0.26794919243 ≈ 7.47 miles

So, the airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).

To learn more trigonometry click:

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Answer:

c

Step-by-step explanation:

linear and decreasing

it has negative gradient and it is straight line

3a) Answer: 84 degrees

Step-by-step explanation:

3x + 2(x+20)= 180 (total sum of angles in a triangle is 180 degrees)

5x+40 = 180

5x = 140

x= 28

3x= 28 x 3

   = 84

Answer:

10 lattes and 23 cappuccinos were sold.

Step-by-step explanation:

Given that one day, a café sells 3 more than twice the number of cappuccinos as they do lattes, and they sold a total of 33 cappuccinos and lattes together, to determine which equation could be used to find the number of lattes that were sold at the coffee the following calculation must be carried out:

Latte = X

Cappuccino = 2X + 3

X + 2X + 3 = 33

3X + 3 = 33

3X = 33 - 3

X = 30/3

X = 10

Latte = 10

Cappuccino = 2 x 10 + 3 = 23

Therefore, 10 lattes and 23 cappuccinos were sold.

Answer:other number is 11,4

Step-by-step explanation:

Answer:

No solution is posible

Step-by-step explanation:

You failed to show triangle ABC

Therefor this cannot be answered.

Answer:

SMALLER NUMBER = 14

BIGGER NUMNER = 34

Step-by-step explanation:

Two equations can be derived from the question

a + 2b = 62 equation 1

3a - b = 116  equation 2

a = bigger number

b = smaller number

multiply equation 1 by 3

3a + 6b = 186 equation 3

subtract equation 2 from 3

5b = 70

b = 14

substitute for b in equation 1

a + 28 = 62

a = 34

Answer:

[tex] \sin(43) = \frac{27}{x} [/tex]

Answer:

R6 for each cup

Step-by-step explanation:

5x=30

Divide 5 from both sides

5x/5=30/5

x=6

Hope this helps

Answer:

82

Step-by-step explanation:

82x.55=45.10

45.10+29.50=74.60

Look up what is mean and calculate it.

Answer:

udfdufuhgjhfdhhudhjhnvn cjhcfhfhufvhfuh

Step-by-step explanation:

guhfr fuhuhdf bfhuyvvhd ui hty

Answer:

98

Step-by-step explanation:

because this is an isosceles triangle so base angle are equal and triangle add up to 180°. so H will be 41 as well to find out F

do 180-41-41=98 is the answer.

hope this helps :)

see your answer in Pic

Answer:

A

Step-by-step explanation:

Answer:

15 ≤ w ≤ 19

Step-by-step explanation:

Given that :

Length of garden = 14 feets

Perimeter must be atleast 58 but no more than 66

The range of value for the width ;

Perimeter = 2 length + 2 width

Perimeter = 2(14) + 2w

If perimeter = 58

58 = 28 + 2w

58 - 28 = 2w

30 /2 = w

w = 15

If perimeter = 66

66 = 28 + 2w

66 - 28 = 2w

38 = 2w

w = 38 / 2

w = 19

Range of the width should be atleast 15 and not more Than 19

Hence,

15 ≤ w ≤ 19

Try this option:

1) for the given function 'f': the the axis of its symmetry is x= -2;

2) for the function 'g':

g(x)=4x²-16x+12; ⇔ g(x)=4(x²-4x+3); ⇔ g(x)=4(x-1)(x-3).

It means the axis of its symmetry is x=2.

Answer: -2 and 2

Answer:

13 miles

Step-by-step explanation:

Distance from home to Field :

4² + 3² = d²

16 + 9 = d²

25 = d²

d = 5 miles

Field to Library :

8 lines so 8 miles

Total :

5 + 8 = 13 miles

He traveled 13 miles

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

i dont know

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

3b = 5$

3b = 6a

3b = 3 bags

6a = 6 apples

A. It costs 3.60 for 1 bag of apples

3.60 + 3.60 = 60 + 60 = 120 + 3 = 123 + 3 = 126

Meaning it would cost 126 for 3 bags of apples making this a incorrect option

B. It costs 3.60 for 1 apple

B is wrong because its one apple and if we were to subtract the apple would probably only cost a few change not 3$ and 60 cents.

C. The cost of 9 bags of apples is 30$

9b = 21a, its either c or d but I'm pretty sure its D!

D. The cost of 108 apples is 30$

D is correct

~ LadyBrain

Answer:

18,225

Step-by-step explanation:

L1=25

L2=75

L3=225

the pattern is (25)* 3^(n-1)

L1=3^0*25 = 25

L2=3^1*25 = 3* 25 = 75

L3=3^2*25 = 9* 25 = 225

.

.

L7=3^6*25 = 729* 25 = 18,225

Answer:

the area is 50.27 and the circumference is 25.13

Step-by-step explanation:

pie x r^2=radius and 2 x pie x r = circumference plug the radius in both and you get your answers

Hope this helps :D

Answer:

9×10^3

Step-by-step explanation:

9×10^3=9000

................

Answer:

Step-by-step explanation:

Answer:

its c, the minus makes the positive 3 negative and the neg 2 positive

Answer:

1)BX = 20

2)MT = 23.3

3)QD = 14.4

4)SN = 23.5

5)XZ = 36

6)DF = 24

7)BD = 43.8

8)HZ = 12

9)UW = 40

10)CS = 11.6

Step-by-step explanation:

1) BX = 1/2(VX) = 40/2 = 20

2)MT = 1/2(RT) = 46.6/2 = 23.3

3) QD = BQ = 14.4

4)LS + SN = 23.5

5)XH = 1/2(XZ) = 18 * 2 = 36

6)DG = 1/2(DF) = 12 * 2 = 24

7)BJ = 1/2(BD) = 21.9 * 2 = 43.8

8)XH = HZ = 12

9)UW = 2(UJ) = 20 * 2 = 40

10) CS = 1/2(US) = 23.2/2 = 11.6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

49

Step-by-step explanation:

Answer:

D. 7x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x - 2

g(x) = 2x + 1

Step 2: Find

Answer:

R and S

Step-by-step explanation:

Given

See attachment for plot

Required

Point on ray PQ

A ray is a line with a starting point, and  extends infinitely in the other direction.

So;

Ray PQ implies that.

P is the starting point, and it extends towards Q direction (however, it is endless).

Towards the direction of Q, we have points R and S.

This implies that R and S are on ray PQ.