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Ksenya-84 [330]

3 years ago

10

A 14-foot tree casts an 18-foot shadow. Find the angle of elevation from the tip of the shadow to the top of the tree. Round the

answer to the nearest tenth.

1 answer:

serious [3.7K]3 years ago

6 0

The tangent of the angle would be given by 14/18, so the angle would be:
tan⁻¹(14/18)
= 37.9 to the nearest tenth of a degree

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Someone please tell me

Lena [83]

Answer:

1,018 ft3

Step-by-step explanation:

$\pi \: r \times rh \\$

$\frac{22}{7} \times 6 \times 6 \times 9 \\ \frac{7128}{7} \\ = 1018.2857 \\ = 1018.286$

5 0

3 years ago

The width of a rectangle is two cm less than 8 times the length. The perimeter is 88 cm. What is the width and length of the rec

kati45 [8]

Let's the length to be x,

then the width is 8x - 2.

Perimeter of a rectangle = 2*Width + 2*Length

Perimeter of the rectangle = 2(8x-2) + 2x = 16x - 4 + 2x = 18x - 4

Ar the same time, Perimeter of the rectangle = 88.

So, we can write

18x - 4 = 88

18x = 84

9x=42

x= 42/9 cm (length) or ≈ 4.67 cm (length)

8x - 2 = 8*42/9 - 2 ≈ 35.33 cm (width)

6 0

4 years ago

HELP ME PLEASE NOWWW PLEASE AND THANK YOU

Dominik [7]

Answer:

X= 12

Step-by-step explanation:

3:9 is the ratio

1:3 is equal therefore the multiplicative factor is 3

lastly you do 4 times 3 to get 12 as the value for x

PS fac k you moderators I got my answer correct and u delete them fac k you

8 0

3 years ago

Solve for x ... x/6 = 2

hjlf

Answer:The answer is x=12

Step-by-step explanation: 2*6=12 and 12/6=2

3 0

3 years ago

Read 2 more answers

Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81+...

PilotLPTM [1.2K]

Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)

The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.

$S=\dfrac13+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots$
$S=\dfrac13\left(1+\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\cdots\right)$

We can then find the exact value of the sum:

$\dfrac23S=\dfrac13\left(\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\dfrac{2^4}{3^4}+\cdots\right)$

$\impliesS-\dfrac23S=\dfrac13$
$\implies\dfrac13S=\dfrac13$
$\implies S=1$

So the answer is B.

8 0

3 years ago