4. Find the value of x.
A) 6 √ 2
B) 12 √ 3
C) 24 √ 3
D) 12

Answer:

The height of the tree is approximately 71.5 feet

Step-by-step explanation:

The given parameters are;

The angle of elevation to see the top pf the tree = 50°

The distance Peggy is laying from the base of the tree = 50 ft.

In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground

Therefore, the line of sight to the top of the tree,  the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle

Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying

The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;

θ = 180° - 90° - 50° = 40°

θ = 40°

By sine rule we have;

h/sin(50°) = d/(sin θ)

∴ h/sin(50°) = 60 ft./(sin 40°)

h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.

∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth

Answer:

Step-by-step explanation:

They are showing you how to factor 12-9i+8i-6i².

Find the greatest common factor in each row and each column.

Blue:  GCF of 12 and -9i = 3

Orange: GCF of 8i and -6i² = 2i

Red: GCF of 12 an 8i = 4

Green: GCF of -9i and -6i² = 3i, but both terms are negative, so use -3i

Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

Answer:

A:

i) ∠ABC is an inscribed angle

ii) ∠ATC is a central angle

B: ∠ABC = 150/2 = 75°

C: ∠ATC = 150°

Answer:

Step-by-step explanation:

A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.

__

The equation can be rewritten to vertex form to find the maximum height.

  h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms

  h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16

  h(t) = -16(t -27/16)^2 +48 9/16

The maximum height is 48 9/16 feet, about 48.6 feet.

__

The air time is found at the value of t that makes h(t) = 0.

  0 = -16(t -27/16)^2 +48 9/16

  (-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16

  (√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16

The time in air is about 3.4 seconds.

Answer:

a) 4³ = 4×4×4 = 64

so answer is 4³

b) (3²)⁶ = 3²×⁶

= 3¹²

so answer is 3¹²

c) 125 = 5³

(5⁴)⁷ = 5²⁸

= 5³ × 5²⁸

= 5³¹

Answer:

a, 4 the power of 3

b,3 the power of 12

c, 5 the power of 31

Step-by-step explanation:

a. prime factorization of 64 is 4^3

b. 2.6=12 so  it became 3^12

c. prime factorization of 125 is 5^3 then 7.4 =28

so 5^3 . 5^28 = 5^31

Answer:

only if you help me i can help you if you help me

Step-by-step explanation:

Answer:

Step-by-step explanation:

UWV is a 30°-60°-90° triangle.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2

The length of the side opposite the 90° angle is 10,

so the length of the side opposite the 30° angle is 5

and the length of the side opposite the 60° angle is 5√3

Step-by-step explanation:

Blank #1 STQ

Blank #2 SSS (Side-Side-Side)

Answer:

35/14

Step-by-step explanation:

Volume = 4 * h * 7 / 2 = 14h

35/14 = h

Answer:

B

Step-by-step explanation:

Answer:

A: Decrease, y is 80% of x

B: Increase, y is 160%of x

Step-by-step explanation:

It sounds like it wants to know what percent Y is of X, so if y was 50% of x, that would mean y was half as much of x. so if x was 10 and y was 5

A:  x is 5 and y is 4  since y is less it is a decrease.  to find the percent do 100*y/x, so in this case that's 100*4/5 =80, so y is 80% of x.  and it makes sense it is less than 100% since x is less than y

B: x=5 and y=8  y is greater than x so it is an increase and will be more than 100%.  100*8/5 = 160 so y is 160% of x

Answer:

A. 21 (boys) and 14 (girls)

Step-by-step explanation:

2+3=5

35÷5= 7

7×3=21 boys

7×2=14 girls

Answer:

12-3=9

Step-by-step explanation:

hdudhhduduur yruyrhd

Answer:

C and D

Step-by-step explanation:

They are both roots of the equation.

Answer:

a

Step-by-step explanation:

the answer is a. 6 faces 12 edges and 8 vertices

Answer:

I beleive it is the first option

Step-by-step explanation:

Answer:

12-7=5

12-3=9

12-7=5

12-3=9

Answer:

they are both c

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2x>7

x>7/2

x>3.5

Answer:

D

Step-by-step explanation:

Have a day as amazing as you are :D

,

TSA 294000 IS THE TOTAL AREA OF A CUBOID 0.7

Answer:

the answer is this had shades is the 72.

Answer:

none!

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Explanation: I searched up "what don't polynomials have"

Answer:

the second one

Step-by-step explanation:

Answer:

Hope that answers your question

Since you said they are supplementary, 3x+20+x+50=180

Since the definition of supplementary angles are they adds up to 180 degrees.

Now we just need to solve the equation

4x+70=180

4x=110

x=27.5

Answer:

66$

Step-by-step explanation:

50$-11$+27$

66$

Answer:

$66

Step-by-step explanation:

$50- $11= $39

$39+ $27= $66