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3 years ago

work out the total area of triangle ABC. calculate the area of AC. sides are:8.2cm and 13.5cm and angle 81 degrees

Mathematics

1 answer:

umka2103 [35]3 years ago

7 0

Answer:

54.67 cm²

Step-by-step explanation:

Given that the two sides of Δ ABC are 8.2 cm and 13.5 cm and the angle included by those sides is 81°.

Let, b = 8.2 cm and c = 13.5 cm and ∠ A = 81°

Hence, area of triangle ABC, Δ = $\frac{1}{2} bc \sin A$

⇒ Δ = $\frac{1}{2} bc \sin 81$

⇒ Δ = $\frac{8.2 \times 13.5 \times \sin 81}{2}$

⇒ Δ = 54.67 cm² (Answer)

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Lina20 [59]

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2 years ago

Read 2 more answers

Can u guys PLEASE answer this question ASAP.

Andrej [43]

Answer:

1. Interest: $166.67

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2. Interest: $200.00

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Explanation:

1. $6000 for 50 days at 20% p.a

In 20% pa, pa means "per annum", i.e. "per year".

Assume simple interest:

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interest: 20% pa

time = 50 days

Interest:

Interest = Principal × number of days × annual rate / 360

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Assume, again, simple interest.

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Interest:

Interest = Principal × number of months × montly rate

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8 0

3 years ago

If you have an old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall, how many cubic fee

yuradex [85]

Answer:

The old fish tank hold 18.84 cubic feet of water.

Step-by-step explanation:

Given:

An old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall.

Now, to find the cubic feet of water the fish tank hold.

Dimensions of old fish tank are:

Diameter is 2 feet so. we find the radius first.

Radius ( $r$ ) = $\frac{Diameter}{2}=\frac{2}{2}=1\ feet.$

Height ( $h$ ) = $6\ feet.$

Now, to get the cubic feet off water the tank hold we put formula:

(Taking the value of π as 3.14.)

$Volume=\pi r^2h\\\\Volume=3.14\times 1^2\times 6\\\\Volume=3.14\times 1\times 6\\\\Volume=18.84\ cubic feet.$

Therefore, the old fish tank hold 18.84 cubic feet of water.

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2 years ago

Bertha and Vernon are competing in a diving competition. Bertha's dive ended -54 m from the starting platform. Vernon's dive end

irinina [24]

.bertha dived 8 times more then vernon 54/8 = 6

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2 years ago

1. 112 2. 136 3. 68 4. 158 5. 129

RideAnS [48]

Answer:

4. 158

Step-by-step explanation:

First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:

x + 360 - x = 360 and

360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)

Following the formula then, we have

$22=\frac{1}{2}(360-x-x)$ and

$22=\frac{1}{2}(360-2x)$

Multiply both sides by 2 to get rid of the fraction and get

44 = 360 - 2x

Subtract 360 rom both sides to get

-316 = -2x

Divide both sides by -2 to get that x = 158

Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.

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3 years ago