What is the GCF of 96 and 567 The GCF is. A 16 B 2 C 14 D 8

How do you this. Explain if you can so I can learn thx

12345 [234]

Answer:

2 seconds

Step-by-step explanation:

Given

h = - 32t² + 64t

When the frisbee lands the height h = 0, that is

- 32t² + 64t = 0 ( multiply through by - 1 )

32t² - 64t = 0 ← factor out 32t from each term

32t(t - 2) = 0

Equate each factor to zero and solve for t

32t = 0 ⇒ t = 0

t - 2 = 0 ⇒ t = 2

t = 0 represents when the frisbee was thrown

and t = 2 when it lands

Hence it takes 2 seconds for the frisbee to land.

7 0

3 years ago

Faron wants to paint the four walls in his bedroom. The room measures 12 ft long, 10 ft wide and 8 ft high. There are two doors

Rainbow [258]

Answer:

319 square feet.

Step-by-step explanation:

The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.

The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.

Therefore, we have that the total area of the four walls is

192 +160 = 352 square feet

However, we have a door and a window that won't be painted.

The area of the door is: 3 x 7 =21 square feet

The area of the window is 3 x 4 = 12 square feet

Thus, the total amount of area that won't be painted is

21 + 12 = 33 square feet.

So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:

352 - 33 = 319 square feet.

Thus, she will paint 319 square feet

4 0

3 years ago

The height h of a cylinder is 3 units lees than 4 times its radius r. Which expression represents the height of the cylinder in

frez [133]

Well it's 4 time the radius, so 4r
And it's 3 less than that, so
4r - 3 is the height

7 0

3 years ago

What is the measure of the secant DE?

ladessa [460]

Using the formula (AB +BC) *BC = (DE +CD) *CD

fill i n what is known:

(17 + 4) *4 = (DE +6) *6

21*4 = (DE +6)*6

84 = (DE+6)*6

84/6 = DE+6

14 = DE +6

DE = 14-6
DE = 8

4 0

3 years ago

Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value

algol [13]

Answer:

Minimum value of function $C=x+10y$ is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

$C=x+10y$

Subject to constraints:

$x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0$

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering $x+y\geq 9$ , corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

$C=x+10y$

at A(0,9)

$C=0+10(9)\\C=90$

at B(3,9)

$C=3+10(9)\\C=93$

at C(3,6)

$C=3+10(6)\\C=63$

Minimum value of function $C=x+10y$ is 63 occurs at point C (3,6).

3 0

3 years ago

What is the GCF of 96 and 567 The GCF is.A 16B 2C 14D 8​

What is the GCF of 96 and 567 The GCF is.A 16B 2C 14D 8