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3 years ago

Gcf of 27, 45 and 54

Mathematics

2 answers:

julia-pushkina [17]3 years ago

5 0

The GCF is <span>1. hope that helps</span>

MrMuchimi3 years ago

4 0

The greatest common factor of all 3 numbers is 9

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A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a

viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

$\theta = 30 + 10 = 40$

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

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

Plug in the values

$tan(40) = \frac{BC}{42}$

Multiply both sides by 42

$tan(40) \times 42 = \frac{BC}{42} \times 42$

$35.24 = BC$

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

$\theta = 30$

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

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

Plug in the values

$tan(30) = \frac{BD}{42}$

Multiply both sides by 42

$tan(30) \times 42 = \frac{BD}{42} \times 42$

$24.25 = BD$

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0

3 years ago

Use the division of property of any quality in the number nine to write a one step any quality his solution is X is greater than

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

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3 years ago

A storage container consists of a box of length 90cm, width 42 cm and height 34 cm, and a lid

Ivanshal [37]

Answer:

20079.05 cm^2,

Step-by-step explanation:

Surface area of the box without the lid

= 90*42 + 2(90*34) + 2(42*34) = 12756.

Now find Surface area of the half cylinder:

The diameter of the 2 half circles = 42 so the radius = 21.

The area of the lid

= 2 + 1/2 π (21)^2 + π r * 90

= 7323,052

Total = 20079.052

7 0

2 years ago

Use differentials to find an approximate value for <img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B65%7D%20" id="TexFormul

Sveta_85 [38]

: Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
</span>

6 0

3 years ago

Read 2 more answers

A train traveling 30 miles per hour how long will it take to travel 180 miles

kotykmax [81]

Answer:

6 hours

Step-by-step explanation:

180 divided by 30 = 6

7 0

4 years ago