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Answers

Answer 1

Answer:

Answer:

6 cm

Step-by-step explanation:

I don't know may I use the trigonometry functions, therefor I'm going to use Pythagorean theorem and property of 30°-60°-90° triangle.

m∠ACB = 120° ⇒ m∠ACD = 60° ⇒ m∠DAC = 30°

DC is opposite to 30° angle ⇒ AC = CB = 8 cm

From ΔADC: AD² = 64 - 16 = 48 ; AD = 4√3 cm

ΔACB is isosceles ⇒ m∠CAB = m∠CBA = 30°

m∠DAH = m∠DAC + m∠CBA = 2(30°) = 60° ⇒ m∠ADH = 30° ⇒ AH = 4√3 ÷ 2 = 2√3 cm

From ΔADH: DH = $√(48-12)$ = √36 = 6 cm

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Can someone help asap

Answers

Answer:

The gasoline used by truck =

Total gas - Gasoline left..

Gas used = 23/3-123/27

$(23 * 9 - 123)/(7)$

$(207 - 123)/(27)$

Gas used =84/27

Solve 3(2d-1)-2d=4(d-2)+5

Answers

Answer:

Any value of D would make this equation true (-∞,∞)

Answer:

infinitely many solutions

Step-by-step explanation:

i ready

A culture of bacteria has an initial population of 72000 bacteria and doubles every 10hours. Using the formula P = Po - 2 å, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 17 hours, to the nearest whole number?

Answers

Answer: 233928.6902 ≈ 233929

Step-by-step explanation:

given a rectangle of length a and width b if A and B are both rational numbers would the perimeter be irrational or rational? Give an example choosing your own values for a and b

Answers

The perimeter would be rational due to both the width and length being rational numbers. A rational number is a number that can be written as a fraction such as 8 it can be written as 8/1, but a irrational would be a decimal number which in this case there would be none because both length and width is rational number. For example, Lets say the width is 8 and the length is 10. once both are written into fraction form such as 8/1 and 10/1 we add them to get a perimeter of 18.
Hope this helps!

The angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 26. If the vertical distance from the bottom to the top the mountain is 725 feet and the gondola moves at a speed of 180 feet per minute how long does the ride last?

Answers

x - length of the ride
x = 725 : sin 26° = 725 : 0.4384
x = 1653.74 feet
v = 180 feet/min
t = x/v = 1653.74 feet :180 feet/ min = 9.3 min
Answer : The ride last 9 minutes and 18 seconds.

Answer:

1654 feet

Step-by-step explanation:

This is the answer

Factor completely x2 − 36.(x + 6)(x − 6)

(x + 6)(x + 6)

(x − 6)(x − 6)

Prime

Answers

(x+6)(x-6) is the corrector factoring if what you meant was x^2-36

Answer:

The answer is (x+6)(x-6)

Step-by-step explanation:

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A pencil at a stationery store costs $1, and a pen costs $1.50. Stella spent $21 at the store. She bought a total of 18 items. Which system of equations can be used to find the number of pencils (x) and pens (y) she bought? x + 18y = 21 x = 1.5y 18x + y = 21 x = 1.5y x + 1.5y = 21 x + y = 18 1.5x + y = 21 x = 18y