Which of the following set of angles is possible for a triangle

Answer:

14degrees

Step-by-step explanation:

Given the following

Distance of ship from the tower = 200m

Height of the tower = 50m

Required

Angle of depression theta

USing the SOH CAH TOA identity

Tan theta = opposite/adj

Tan theta = 50/200

Tan theta = 1/4

theta = arctan(0.25)

theta = 14.03degrees

Hence the angle of depression is 14degrees

Answer:

14.4

Step-by-step explanation:

To find 40 percent of 36, here's how I do it. Just divide 36 by one hundred (move the decimal point two times to the left), giving you 0.36. Then multiply that by 40, and you get 14.4! Of course, there are multiple ways to do it, but that's just mine. If it doesn't work for you, try and search some formulas.

Answer:

Step-by-step explanation:

40/100*36

40*36/100

1440/100

14.4

so here if u divide 40% by 100 the % sign will automarically removed and here 40% 0f 36 means 40 and to remove % sign divide it by 100 and multply it by 36

Answer:

1 /3

Step-by-step explanation:

Bag 1 :

Yellow = 3 ; green = 2 ; red = 1

Total = 6

P(not yellow) = (2 +1) / 6 = 3/6 = 1/2

Bag 2 :

Yellow = 3 ; green = 3 ; red = 3

Total = 9

P(not yellow) = (2 +3) / 9 = 6/9 = 2/3

P(neither yellow from the two bags) = 1/2 * 2/3 = 2 /6 = 1/3

Answer:

28.27

Step-by-step explanation:

Formula to find the total surface area is

2pi · r · h + 2pi r^2

the radius is 3cm

2pi · 3 · 10 + 2pi · 3^2

Answer:

they are congruent

Step-by-step explanation:

Answer:

C. a+bi

I took the test

Answer:

64

Step-by-step explanation:

140/56=2.5

160/2.5=64

Answer:

[tex]5[/tex]

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

5 (3z-3) = 30

15 z - 15 = 30

15 z = 30+ 15

15z = 45

z= 45/ 15

z= 3

Answer:

Cost of Blanket = 32

Step-by-step explanation:

Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.

So, Day 1 : 2b + 5s = 104 (i)  , Day 2 : 3b + 4s = 128 (ii)

Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get

6b  +  15s    =   312 ,

(-)6b + (-)8s =  (-)256

By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .

Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32

Answer:

Total number of students= 1,200

Step-by-step explanation:

Giving the following information:

Proportion of students= 10%

Number of students that travel by bus= 120

To calculate the number of students that attends school, we need to use the following formula:

Total number of students= Number of students that travel by bus / proportion of students

Total number of students= 120 / 0.1

Total number of students= 1,200

Answer:

length is 45cm

No quetion

Answer:

y= −3/4x + 1

x= -4/3y + 4/3

Step-by-step explanation:

Let's solve for y.

3x+4y=4

Step 1: Add -3x to both sides.

3x+4y+−3x=4+−3x

4y=−3x+4

Step 2: Divide both sides by 4.

4y4=−3x+44

y=−34x+1

___________

Let's solve for x.

3x+4y=4

Step 1: Add -4y to both sides.

3x+4y+−4y=4+−4y

3x=−4y+4

Step 2: Divide both sides by 3.

3x3=−4y+43

x= -4/3y + 4/3

math papa algebra caculator, thank me later

Answer:

x=17

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

2x - 4 = 30

2x = 30 + 4

2x = 34

x = 34/2

◆ x = 17

This is a Right answer

Answer:

Green(before) : [tex]\frac{2}{12}[/tex]

Red(before) : [tex]\frac{2}{12}[/tex]

Purple(before) : [tex]\frac{3}{12}[/tex]

Gold(before) : [tex]\frac{5}{12}[/tex]

That is before. Now there are only 11 marbles, so that is the new total. Depends on which color you got to tell the new probability.

Answer:

[tex]y=6\sqrt{3}[/tex]

[tex]x=18[/tex]

Step-by-step explanation:

[tex]Sin30=\frac{9}{12\sqrt{3} }[/tex]

[tex]1/2=y/12\sqrt{3}[/tex]

[tex]y=6\sqrt{3}[/tex]

[tex]tan30=y/x[/tex]

[tex]x=y/tan30=x=\frac{6\sqrt{3} }{1/\sqrt{3} }[/tex]

[tex]x=18[/tex]

------------------------

hope it helps...

have a great day!

Answer:

1/36

Step-by-step explanation:

Probability of hitting 4 : 1/6

Probability of hitting 2: 1/6

The probability of these two elements: 1/6 * 1/6 = 1/36

Answer:

50.33 mi.

Step-by-step explanation:

GIVEN :-

Coordinates of :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say there are two points A & B on a cartesian plane whose coordinates are (x₁ , y₁) & (x₂ , y₂).

Distance between A & B = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

SOLUTION :-

According to question ,

On Friday , you -

⇒ On Friday , total distance travelled = 12.04 + 8.94 + 7.21 = 28.19 mi.

On Saturday , you -

⇒ On Saturday , total distance travelled = 8.6 + 8.54 + 5 = 22.14 mi.

∴ Total distance travelled on Friday & Saturday = 28.19 + 22.14 = 50.33 mi.

Answer: 38 Bags

Step-by-step explanation:

Since there are 19 people and each person needs 24 beads, the total number of beads needed is 19*24=456. Then if this total must be split up into groups of 12 beads, the answer would be 456/12=38.

Answer:

150°

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Plug in the numbers in each equation to see if it fits. C is the best option

Answer:

I cant tell what the answer is cause X and Y dont have a value

Step-by-step explanation:

Answer:

p=9

Step-by-step explanation:

Answer: 28/53

Step-by-step explanation:

trust me bro

The ratio that represents the sine of ∠B is 15/17.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Since the triangle has a right angle, we can find the length of the unknown side using the trigonometric notations SOH CAH TOA where;

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

With respect to ∠B given that  ∠D=90°,

BD is the adjacent side and CB  is the hypotenuse side, DC is the opposite side

Hence ,Sin B = 15/17

Learn more about trigonometric;

https://brainly.com/question/21286835

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Answer:

x=5

Step-by-step explanation:

According to the Pythogoras Theorem,

(hyp)^2 = (opp)^2 + (adj)^2

(13)^2 = (12)^2 + (x)^2

169 = 144 + (x)^2

(x)^2 = 25

x = 5