All categories

3 years ago

Find the exact length of the third side. 6 9

Mathematics

2 answers:

egoroff_w [7]3 years ago

5 0

Step by step:
right triangle so use pythagorean theorem
formula is a^2+b^2=c^2
9 is c cause its hypotenuse
so 6^2+b^2=9^2
36+b^2=81
-36 -36
________
b^2=45
b is the sqrt of 45 so about 6.71 so ur right

solniwko [45]3 years ago

3 0

Answer:

The square root of 45

Step-by-step explanation:

9^2-6^2=c^2

81-36=c^2

45=c^2

c=sqrt(45)

You might be interested in

PLEASE HELP ME ASAP!

maw [93]

Answer:

Yes

Step-by-step explanation:

for pens you are adding 3 each time

for boxes you are adding 1 each time

it is correct because they all have the same unit rate

3/1=3

6/2=3

9/3=3

12/4=3

7 0

3 years ago

{ y = - 4x-23-4x-3y=13

sleet_krkn [62]

For this case we have the following system of equations:

$y = -4x-23\\-4x-3y = 13$

We solve by the substitution method:

We substitute the first equation in the second equation:

$-4x-3 (-4x-23) = 13$

We apply distributive property considering that $- * - = +:$

$-4x + 12x + 69 = 13\\8x + 69 = 13$

We subtract 69 from both sides of the equation:

$8x = 13-69\\8x = -56$

We divide by 8 on both sides of the equation:

$x = \frac {-56} {8}\\x = -7$

We look for the value of the variable y:

$y = -4 (-7) -23\\y = 28-23\\y = 5$

Thus, the solution of the system is $(x, y): (-7,5)$

Answer:

$(x, y): (-7,5)$

7 0

3 years ago

Help me now if i get this one wrong i wont be free

jok3333 [9.3K]

Answer: its the first one "opposite sides with equal length"

5 0

3 years ago

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

3 years ago

Presence of the activity in this illustration is an example of how a country’s government can be shaped by

katen-ka-za [31]

Answer:

c or d but i think d

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers