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3 years ago

9

A rectangle has an area of 21 square centimeters. Which of the following could be the rectangle's length and width? Area = lengt

h x width Choose all answers that apply

1 answer:

Juliette [100K]3 years ago

3 0

Width=1cm and length=21cm or width=3cm and length=7cm.

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What is 2. 314 (3.14 repeating )as a fraction

soldier1979 [14.2K]

Your final answer will be 2 157/500 for the decimal 2.314

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3 years ago

The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to

zepelin [54]

Answer:

Answer in terms of a trigonometric function :

$h = \frac{20tan(19.9)}{0.4-tan(19.9)}$

Answer in figures

$h = 190.5 feet$

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

$tan (19.9)=\frac{h}{50+x} ---------------equation 1\\$

$tan (21.8)=\frac{h}{x}----------------equation 2$

From equation 2,

$x =\frac{h}{tan21.8}=\frac{h}{0.4}$

substituting the value of x into equation 1, we get

$tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}$

$tan 19.9=h\times \frac{0.4}{20+h}$

cross multiplying,

$20\times tan(19.9) +htan(19.9)=0.4h$

$20tan(19.9)= h(0.4-tan(19.9))$

$h= \frac{20tan (19.9)}{0.4-tan (19.9)}$

The height of the tower is $h= \frac{20tan (19.9)}{0.4-tan (19.9)}$ in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

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3 years ago

You own a rectangular home lot that is 46,200 square feet in size. You get a quote of $10 per foot. If your lot is 220ft long an

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

width=46200÷220=210 ft

what you mean by quote? i don't know.

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2 years ago

Is the inequality true for all values of x? <br> (3x+8)^2 > 3x(x+16)

emmainna [20.7K]

Answer:

Yes

Step-by-step explanation:

yes

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2 years ago

What is the solution of the equation when solved over the complex numbers?<br><br> x^2+27=0

Luba_88 [7]

Answer:

(0,27)

Step-by-step explanation:

x2 + 27 = 0

Solutions based on quadratic formula:

x1

= −0 − √ 02 − 4×1×27 2×1 = 0 − 6 × √ 3 i 2 ≈ −5.196152i

x2

= −0 + √ 02 − 4×1×27 2×1 = 0 + 6 × √ 3 i 2 ≈ 5.196152i

Extrema:

Min = (0, 27)

8 0

3 years ago

Read 2 more answers