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Sergeu [11.5K]
3 years ago
11

Find the length of segment AB​

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

AB = 10.77 units

Step-by-step explanation:

If the extreme ends of a line segment are (x_1,y_1) and (x_2, y_2).

Then the length of the segment joining these extreme ends will be,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

If the extreme ends of the line segment AB are A(-3, 1) and (7, 5).

Measure of AB = \sqrt{(7+3)^2+(5-1)^2}

AB = \sqrt{100+16}

AB = \sqrt{116}

AB = 10.77 units

Therefore, length of the segment AB will be 10.77 units.

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Give triangle ABC is a right triangle, and angle A is the right angle. If sin(B)=3/5, find the cos(B).
hichkok12 [17]

Answer:

Cos B = 4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine B = 3/5

Cos B =?

Recall:

Sine B = Opposite / Hypothenus

Sine B = 3/5

Therefore,

Opposite = 3

Hypothenus = 5

Next, we shall determine the Adjacent. This can be obtained as follow:

Opposite = 3

Hypothenus = 5

Adjacent =?

Hypo² = Adj² + Opp²

5² = Adj² + 3²

25 = Adj² + 9

Collect like terms

Adj² = 25 – 9

Adj² = 16

Take the square root of both side

Adj = √16

Adjacent = 4

Finally, we shall determine Cos B. This can be obtained as follow:

Hypothenus = 5

Adjacent = 4

Cos B =?

Cos B = Adjacent / Hypothenus

Cos B = 4/5

4 0
2 years ago
What is the area of a rectangle that measures 4 cm by 12cm
Softa [21]
A = l*w
A = 4*12 = 48cm^2
The area of the rectangle is 48cm^2 (cm squared)
8 0
3 years ago
All furniture orders over $100 have a flat shipping fee of $35. If the order is $437.50, what percent is the shipping and handli
Fynjy0 [20]

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Step-by-step explanation:The shipping and handling fee of $35 was applied to the order or $437.50.

Divide the total by the shipping and handling fee:

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Multiply by 100 to get percent:

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suppose marcus delivers papers at a rate of 9 papers in 18 minutes.How much longer would it take him to deliver 100 papers than
arlik [135]


We need to write the following expression and solve for x:

9/18 = 100/x

So: 9x = 1800

x = 200

So it would take him 200 minutes to deliver 100 papers.

We do the same for 72 papers

9/18 = 72/x

so 9x = 1296

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It would take him 144 minutes to deliver 72 papers.

4 0
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Dafna11 [192]

Answer:

(-1,1)

Step-by-step explanation:

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