4 + 6(k + 6) =64 help I'm racking my brain!

The height, h, in feet of a gold ball above the ground after being hit into the air is given by the equation. H=-16t2+64t, where

stiv31 [10]

Answer:

4 seconds

Step-by-step explanation:

Given : $H = -16t^{2} +64t$

To Find: How many seconds does it take for the golf ball to hit the ground?

Solution :

Since we are given an equation : $H = -16t^{2} +64t$

Where H denotes height

t denotes the number of seconds elapsed since the ball was hit.

When he golf ball to hit the ground at that time the height becomes 0

So, put H = 0 in the equation

$H = - 16t^{2} +64t$

$0 = - 16t^{2} +64t$

$16t^{2} = 64t$

$16t = 64$

$t =\frac{64}{16}$

$t =4$

Thus it take 4 seconds for the golf ball to hit the ground

4 0

2 years ago

Find the area and the perimeter of the shaded regions below. Give

PolarNik [594]

Based on the definition of composite figure, the area of the composite figure ABC formed by a semicircle and right triangle is approximately 32.137 square centimeters.

<h3>How to find the area of the composite figure</h3>

The area of the composite figure is the sum of two areas, the area of a semicircle and the area of a right triangle. The formula for the area of the composite figure is described below:

A = (1/2) · AB · BC + (π/8) · BC² (1)

If we know that AB = 6 cm and BC = 6 cm, then the area of the composite figure is:

A = (1/2) · (6 cm)² + (π/8) · (6 cm)²

A ≈ 32.137 cm²

Based on the definition of composite figure, the area of the composite figure ABC formed by a semicircle and right triangle is approximately 32.137 square centimeters.

To learn more on composite figures: brainly.com/question/1284145

#SPJ1

8 0

1 year ago

find the equation of a straight line passing through the point(4,5) and equally inclined to the lines 3x = 4y +7 and 5y= 12x +6

galina1969 [7]

First we have to determine the slope of each lines by transforming to the slope-intercept form:

y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5

The formula to be used in the proceeding steps is a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting, a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5) =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope

y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9

3 0

3 years ago

Bryan created a scale drawing of his rectangular bedroom. His drawing had dimensions of 6 inches by 8 inches. If the scale that

vlabodo [156]

Answer:

56 feet

Step-by-step explanation:

If 1 inch = 2 feet, we can first find the actual dimensions of his room by multiplying the number of inches by 2.

6(2)

= 12

8(2)

= 16

So, the actual dimensions of his room are 12 feet by 16 feet.

To find the perimeter, use the perimeter formula, P = 2l + 2w.

Plug in the length and width:

P = 2l + 2w

P = 2(12) + 2(16)

P = 24 + 32

P = 56

So, the perimeter of his actual room is 56 feet.

6 0

2 years ago

Ashley bought 2 1/7 lb of tomatoes, 3 2/3 lb of lettuce, and 3 1/3 lb of spinach to make a salad. How many pounds of vegetables

blsea [12.9K]

9 1/7 lb

You can convert the mixed numbers to solve it easier! :)

7 0

2 years ago