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2 years ago

Find the area of ABC to the nearest tenth, if necessary

Mathematics

1 answer:

ElenaW [278]2 years ago

4 0

Answer:

29.7 m²

Step-by-step explanation:

The relevant area formula is ...

A = 1/2ab·sin(C)

A = 1/2(12.6 m)(8.9 m)sin(32°) . . . . use given values

A = (1/2)(12.6)(8.9)(0.52992) m² ≈ 29.7 m²

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∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is units. The length of side BC is units. The len

leonid [27]

Answer:

AB = 7.07 units

BC = 8.06 units

AC = 12.04 units

Step-by-step explanation:

To find the length for each side of the triangle, apply the distance formula between each pair of vertices.

AB

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(2--3)^2 + (1-6)^2} \\d = \sqrt{(5)^2 + (-5)^2} \\d = \sqrt{25 + 25} \\d = \sqrt{50} \\d=7.07$

BC

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9-2)^2 + (5-1)^2} \\d = \sqrt{(7)^2 + (4)^2} \\d = \sqrt{49 + 16} \\d = \sqrt{65} \\d=8.06$

AC

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9--3)^2 + (5-6)^2} \\d = \sqrt{(12)^2 + (-1)^2} \\d = \sqrt{144 + 1} \\d = \sqrt{145} \\d=12.04$

4 0

3 years ago

A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.

nika2105 [10]

16x5=80 cause if it bounces 16 times 5 times then

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2 years ago

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My last question plz help me

LenKa [72]

The answer is c I hope this helps

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3 years ago

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A candy box measures 8.2 cm in diameter and 15 cm in height. How many 2 cm cubed pieces of candy can fit into the box?

Katarina [22]

60 2cm candy prices can fit because if you multiply 8.2 by 15 it equals a decimal and if you divide it by 2 that the nearest whole number you’ll get is 60, so the answer has to be 60.

8 0

3 years ago

The amount of time it takes Ariana to do a math problem is continuous and uniformly distributed between 38 seconds and 79 second

solniwko [45]

Answer:

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, d being greater than c, is given by the following formula:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

Uniformly distributed between 38 seconds and 79 seconds.

This means that $a = 38, b = 79$

What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem

$c = 58, d = 70$

$P(58 \leq X \leq 70) = \frac{70 - 58}{79 - 38} = 0.2927$

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

4 0

3 years ago