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nasty-shy [4]
3 years ago
12

3 added to 5 times a number and the result is multiplied by 4. The final result is 72. Find the number

Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0
Hmm... I would say the equation would look like 3+5x=72/4. 
3+5x=72/4
3+5x=18
5x=18-3
5x=15
x=15/5
x=3

The number is 3

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Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

6 0
3 years ago
The science club is selling puzzles to raise money. The supplier charges a one-time fee of $55 for each order and $10 for each p
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7 0
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If AB vector =(4 5) and PQ vector=(2p 10) are parallel to each other, find the value of p.​
Sedaia [141]

Answer:

Answer:

They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other

Step-by-step explanation:

PQ=PA+QA

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CB=2q+3p=2(q+3/2p)

Other explanation: It should be written like this PQ=q+3/2p and CB=2q+3p=2(q+3/2p) they are parallel bcs CB=2*PQ.

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Answer:

We need an image of the square.

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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