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3 years ago

Help me please, Calculate the external perimeter of the picture frame:

Mathematics

1 answer:

Studentka2010 [4]3 years ago

8 0

Perimeter of a parallelogram = 2(l+b)
= 2 (65+42)
= 2*107
= 214 cm

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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

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2 years ago

Find the volume of the composite solid.

erik [133]

Answer:

Equal.

Step-by-step explanation:

The volume of the rectangular prism is:

V = length x width x height

V = 3a x 2b x c

V = 6abc

The volume of the pyramid is:

V = (base area x height)/3

V = (a x b x 18c)/3

V = 18abc/3

V = 6abc

The two volumes are equal.

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2 years ago

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horrorfan [7]

Answer:

Step-by-step explanation:

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3 years ago

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Nutka1998 [239]

The answer should be C, if my math is correct!

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3 years ago

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Robbie was given $80 to spend at the Fair. His admission to the park costs $15.50 and each ride cost $5. He anticipates the cost

Ad libitum [116K]

Answer:

7 or 8

Step-by-step explanation:

Robbie was given $80.

His admission costs $15.50

80 - 15.50 = $64.50

He anticipates the cost of food at the fair will be $25.

64.50 - 25 = $39.50

What is the maximum number of rides he can take at the Fair?

(Total $ after admission and cost of food/ ride cost)

$39.50 / $5 = 7.9

4 0

2 years ago

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Help me please, Calculate the external perimeter of the picture frame: ​

Help me please, Calculate the external perimeter of the picture frame: