Why did the picture go to jail (big ideas math puzzle time, red book,common core)

Does somebody knows this one?

Katarina [22]

Answer:

ok so first we need to find the area of the circle inside which is a=Pi*raduis^2

a=pi*1(radius is half of diamater)

a=3.14

ok then the area of the sqare including the circle is 16 so

16-3.14=12.86

this is is aprox since the area of pi is infinite and i just used 3.14

Hope This Helps!!!

8 0

2 years ago

Write the equation of a line, in Point slope form that passes through (5,6) and has a slope of -3

Mademuasel [1]

Answer:

y = -3x + 21

Step-by-step explanation:

(5,6)

y = mx + b

6 = -3 × 5 + b

solving for b

b = 6 - (-3)(5)

b = 21

Therefore,

y = -3x + 21

7 0

2 years ago

Part C

mel-nik [20]

Answer:

Tamara needs to cover a total of 476 square feet.
Tamara will have enough material to cover all four walls.

Step-by-step explanation:

If the room dimensions are 8 1/3 feet by 11 1/2 feet, the perimeter length is ...

P = 2(L+W) = 2(8 1/3 +11 1/2) = 2(19 5/6) = 39 2/3 feet

The area of the walls is the product of this perimeter length and the height of the wall. If that height is 12 feet, then the wall area is ...

A = PH = (39 2/3 ft)(12 ft) = 476 ft²

Tamara needs to cover a total of 476 square feet.

__

If Tamara orders 480 square feet of material, ...

Tamara will have enough to cover all four walls.

6 0

3 years ago

Find the equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5).

neonofarm [45]

The equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5) is $y = \frac{-1}{3}x - 8$

Solution:

Given that line perpendicular to y = 3x + 6 and containing the point (-9, -5)

We have to find the equation of line

The slope intercept form is given as:

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

The given equation of line is y = 3x + 6

On comparing the given equation of line y = 3x + 6 with eqn 1, we get,

m = 3

Thus the slope of given equation of line is 3

We know that product of slopes of given line and slope of line perpendicular to given line is equal to -1

Slope of given line $\times$ slope of line perpendicular to given line = -1

$3 \times \text{ slope of line perpendicular to given line }= -1$

$\text{ slope of line perpendicular to given line } = \frac{-1}{3}$

Let us now find the equation of line with slope $m = \frac{-1}{3}$ and containing the point (-9, -5)

Substitute $m = \frac{-1}{3}$ and (x, y) = (-9, -5) in eqn 1

$-5 = \frac{-1}{3}(-9) + c\\\\-5 = 3 + c\\\\c = -8$

Thus the required equation of line is:

Substitute $m = \frac{-1}{3}$ and c = -8 in eqn 1

$y = \frac{-1}{3}x - 8$

Thus the required equation of line perpendicular to given line is found

6 0

3 years ago

Identify the congruent triangles in the figure.

Komok [63]

Answer:

The answer would be HFG = KIJ (A)

If we know that the opposite and the adjacent side of the triangle are congruent, then the hypotenuse is congruent too. Therefor, A is correct as we know the opposite side and the adjacent side are congruent.

5 0

3 years ago