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3 years ago

Find the perimeter of ABC with vertices A (1,-6), B (1,-3), and C (-4,-6).

Mathematics

1 answer:

Crazy boy [7]3 years ago

5 0

Answer:

$p = 8 + \sqrt{34} = 13.83095...$

Step-by-step explanation:

we can easily calculate the perimeter of three points, using vectors. See the picture...

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The measure of angle A is 15°, and the length of side

dangina [55]

Answer:

Part 1) $AB=30.9\ units$

Part 2) $AC=29.9\ units$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1

Find the length side AB

we know that

$sin(A)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(15^o)=\frac{8}{AB}$

solve for AB

$AB=\frac{8}{sin(15^o)}=30.9\ units$

Part 2

Find the length side AC

we know that

$tan(A)=\frac{BC}{AC}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(15^o)=\frac{8}{AC}$

solve for AC

$AC=\frac{8}{tan(15^o)}=29.9\ units$

8 0

3 years ago

How many of the numbers from the set $\{1,\ 2,\ 3,\ldots,\ 50\}$ have a perfect square factor other than one?

Novay_Z [31]

Answer:

2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48

3^2(1,2,3, 5) = 9, 18, 27, 45

5^2(1, 2) = 25, 50

7^2 = 49

19 numbers

Step-by-step explanation:

5 0

3 years ago

4a=23 Solve the equation. 4a=23 a=

REY [17]

Answer:

4a=23

4a/4 = 23/4

a=5.75

Step-by-step explanation:

6 0

3 years ago

An isosceles triangle has an angle of 70°. what are the possible values of the other two angles?

IRINA_888 [86]

Answer:

55 and 55 or 70 and 40

Step-by-step explanation:

A triangle has 180o and an isosceles triangle has two angles that are the same. As 70 is less than half, we have a couple of possible solutions to this. So one possible solution is 70-55-55. So the other possible solution is 70-70-40.

3 0

3 years ago

What is the area of this triangle in the coordinate plane? 5 units² 6 units² 7 units² 12 units² A graph with a triangle drawn be

____ [38]

Answer:

6 units²

Step-by-step explanation:

The coordinates (1,1) (1,4) (5,1) form a right triangle as shown in the graph below

The base is is (1,1) and (5,1) so the length is 5-1 or 4 units

The height is (1,1) and (1,4) so the height is 4-1 or 3 units

Area of a triangle is given by

A = 1/2 bh

= 1/2 (4*3)

= 1/2 *12

= 6 units^2

8 0

4 years ago