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2 years ago

8

Ahmad made a shirt using 1/4 yards of yellow fabric and 1/8 yards of red fabric. How many more yards of yellow fabric did Ahmad

use?

1 answer:

Nady [450]2 years ago

6 0

Answer: 1/8

Step-by-step explanation:

convert 1/4 to eighths

1/4 x 2 = 2/8

2/8 yellow fabric - 1/8 red fabric = 1/8

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The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

so

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

8 0

2 years ago

Which is greater 3/4 or 0.75?

o-na [289]

$0.75=\frac{75}{100}=\frac{75:25}{100:25}=\frac{3}{4}\\\\Answer:\boxed{\frac{3}{4}=0.75-they\ are\ the\ same}$

3 0

2 years ago

Help me on this math please

FromTheMoon [43]

The correct answer is D

6 0

2 years ago

Evaluate 0.3 + y/2 when y = 10 and z =5

Vladimir79 [104]

Answer:

0.3*10+10/5

PEMDAS (left to right)

3+2

5

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

I need the area of a rectangle, the middle is 5ft the right is 6ft and the bottom is 5ft. thank u

Scrat [10]

Answer:

length times width for area so its 5x6=30

5 0

2 years ago