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3 years ago

I need help with this question

Mathematics

1 answer:

aivan3 [116]3 years ago

4 0

Answer:

(C). $\frac{22\pi }{3}$ yd.

Step-by-step explanation:

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Find the greatest common factor and the least common multiple of 12 and 20 explain

klasskru [66]

Answer:

GCF: 4

LCM: 60

4 0

3 years ago

Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°.

denis23 [38]

Answer:

$\boxed {\boxed {\sf About \ 28.36 \ meters }}$

Step-by-step explanation:

Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.

sin(θ)= opposite/hypotenuse
cos(θ)= adjacent/hypotenuse
tan(θ)= opposite/adjacent

Now, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.

We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.

$tan(\Theta)=\frac{opposite}{adjacent}$

opposite=x
adjacent=5 m
θ=80

Substitute in the known variables.

$tan(80)=\frac{x}{5 \ m }$

We want to find x, the height of the tree. Therefore we need to isolate that variable.

x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.

$5 \ m* tan(80)=\frac{x}{5 \ m }* 5 \ m$

$5 \ m* tan(80)=x$

$5 \ m *5.67128182=x$

$28.3564091 \ m = x$

The question asks for an approximation, so let's round to the nearest hundredth.

The 6 in the thousandth place tells us to round the 5 to a 6.

$28.36 \ m \approx x$

The tree is about <u>28.36 meters tall.</u>

3 0

3 years ago

Fabian bought 223 feet of wood to build

PilotLPTM [1.2K]

Answer:

111 boxes

Step-by-step explanation:

He bought 223 feet of wood

Each box will take 2 feet

To determine the total number of box he'll make from 223,

1 box = 2 feet of wood

X box = 223 feet of wood

X = (223 × 1) / 2

X = 111.5 box approximately 112 boxes

But technically, since its 111.5, he'll be able to make 111 boxes completely with 0.5 feet of wood left

5 0

3 years ago

How many possible combination outcomes consist of at least three tails when you toss a fair coin four times?

dolphi86 [110]

Here are all the possible outcomes
when you toss a coin 4 times.

Arrows point to the outcomes that
include at least 3 tails.

H H H H
H H H T
H H T H
H H T T
H T H H
H T H T
H T T H
H T T T <===
T H H H
T H H T
T H T H
T H T T <===
T T H H
T T H T <===
T T T H <===
T T T T <===

There are five of them.

4 0

3 years ago

Read 2 more answers

"The voice of the sea is seductive; never ceasing, whispering, clearing, murmuring, inviting the soul to wander for a spell in t

klio [65]

For me, the significance of this quote is to emphasize the feeling of peace and comfort we get that is brought about by the sea. It uses figure of speech, particularly, personification. By doing so, it creates a connection from the reader to what the speaker wants to deliver.

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4 years ago