All categories

3 years ago

Find the length of side A. show or explain ALL work. (use sqrt to show square root).

Mathematics

1 answer:

IrinaK [193]3 years ago

6 0

Hard to read but I think that's a 12 and a 9, right?

a^2 + b^2 = C^2

12^2 - 9^2 = A^2

225 - 81 = 144

A=12

You might be interested in

Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

3 years ago

Write two numbers, neither of which are 8, they have a GCF of 8

Temka [501]

Answer:

16, 24

Step-by-step explanation:

1 List the factors of each number.

Factors of 16 : 1, 2, 4, 8, 16

Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24

2 Find the largest number that is shared by all rows above. This is the GCF.

GCF = 8

7 0

2 years ago

Which problem can we solve with 27 : 3?

N76 [4]

Answer:

La Tasha has 27 rabbit stickers. She splits the stickers

evenly among 3 pieces of paper. How many stickers

did La Tasha put on each piece of paper?

Step-by-step explanation:

6 0

2 years ago

Question: which of the following is equal to -7?

evablogger [386]

Answer:

-2-5

Step-by-step explanation:

-2-5 = -7

2-5 -3

-5+2 = -3

5+(-2) = -3

7 0

3 years ago

Read 2 more answers

Which is bigger 40% of 120 or 1/4 of 200

Anvisha [2.4K]

40% of 120 is 48 1/4 of 200 is 50 1/4 of 200 is bigger.

3 0

3 years ago