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3 years ago

14

Enter the number 86.3865 rounded to the nearest hundredth (two decimal places)

2 answers:

Burka [1]3 years ago

5 0

Answer:

Your answer would be: 86.39

Step-by-step explanation:

Katena32 [7]3 years ago

3 0

Answer:

86.39

Step-by-step explanation:

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Find the measure of angle A. This is for my math class, and I’ve been stuck on this for a while. Please help!

Kruka [31]

Answer:

20°

Step-by-step explanation:

The sum of angles in a ∆ = 180°

Therefore, $(17x - 1) + (3x - 4) + 25 = 180$

Use this expression to find the value of x, then find the measure of angle A.

$17x - 1 + 3x - 4 + 25 = 180$

$17x + 3x - 1 - 4 + 25 = 180$

$20x + 20 = 180$

Subtract 20 from both sides

$20x + 20 - 20 = 180 - 20$

$20x = 160$

Divide both sides by 20

$\frac{20x} = \frac{160}{20}$

$x = 8$

Find measure of angle A.

Angle A is given as $3x - 4$

Plug in the value of x and solve

$A = 3(8) - 4 = 24 - 4 = 20$

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3 years ago

Paul wants to know when gas would have cost about $1.50 per gallon. What step should he take?

EastWind [94]

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3 years ago

Evaluate the function at x = –2.

MrRissso [65]

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3 years ago

Find the distance CD rounded to the near

DanielleElmas [232]

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3 years ago

Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl

Sunny_sXe [5.5K]

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.

It means AB and BC are legs of the right angled triangle ABC.

Side AB lies on the y-axis because the x-coordinate of both A and B is 0.

Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.

$4a-5=2a+6$

$4a-2a=5+6$

$2a=11$

Divide both sides by 2.

$a=\frac{11}{2}$

The value of a is 2. So the coordinates of triangle ABC are

$B(0,4a-5)=B(0,4(\frac{11}{2})-5)\Rightarrow B(0,17)$

$C(2a+1,2a+6)=C(2(\frac{11}{2})+1,2(\frac{11}{2})+6)\Rightarrow C(12,17)$

The area of a triangle is

$Area=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$

The area of triangle ABC is

$Area=\frac{1}{2}|0(17-17)+0(17-0)+12(0-17)|$

$Area=\frac{1}{2}|12(-17)|$

$Area=\frac{1}{2}|-204|$

$Area=\frac{1}{2}(204)$

$Area=102$

The area of triangle ABC is 102. Therefore the correct option is 1.

6 0

3 years ago