a ball is launched upward from the ground with an initial velocity of 20 ft/s. The height of the ball at time t is represented by the function h(t). h(t)=-16t^2+20t, where t is measured in seconds and h(t) is measured in feet. drag the values to the lines to complete each sentence.


1. The ball reaches its maximum height when t is ____ seconds.

2. The maximum height of the ball is ____ feet.

3. The balls hits the ground when t is ____ seconds.


OPTIONS: 0.4 0.625 0.8 1.25 5.44 6.25 12.5 25

Answer:

26.68 ft

Step-by-step explanation:

Let a represent the distance from Kelsea to the bird and b be the distance from Landon to the bird.

Let x = angle of the bird. Hence:

x + 45 + 20 = 180 (sum of angles in a triangle)

x + 65 = 180

x = 180 - 65

x = 115°

Using sine rule:

[tex]\frac{100\ ft}{sin(115)} =\frac{a}{sin(45)} =\frac{b}{sin(20)} \\\\\frac{100\ ft}{sin(115)} =\frac{a}{sin(45)}\\\\a=\frac{100\ ft}{sin(115)} *sin(45)\\\\a=78\ ft\\[/tex]

Let h = height of the bird to the ground. Since a right angle is formed. hence:

[tex]\frac{h}{sin(20)} =\frac{78}{sin(90)} \\\\h=\frac{78}{sin(90)}*sin(20)\\\\h=26.68\ ft[/tex]

Answer:

7250

Step-by-step explanation:

145,000

x

0.05

145000 / 100 = 1450.

1450 x 5 = 7250

Answer:

y=3/4x+(-4.5)

Step-by-step explanation:

Answer:

|x|=-4 is immposible, absolute value is the distance of any number away from zero hence is it imposible for it to be a negative number

Hope this helps! :)

Answer:

a)(5m+3n)^3 b)(4a-3b)^3

Step-by-step explanation:

a)125m^3+27n^3+225m^2 n+135mn^2

Use the binomial cube formula, a^3+3a^2

b+3ab^2+b^3=(a+b)^3, where a=5m and b=3n.

(5m+3n)^3

b)64a^3-144a^2 b+108ab^2-27b^3

Use the binomial cube formula, p^3-3p^2q+3pq^2-q^3=(p-q)^3, where p=4a and q=3b.

(4a-3b)^3

Answer: Hi, sorry if I’m late to answering but the answer is 19

Step-by-step explanation:

You divide each number in the equation by 5. So, 5x divided by 5 = 1. We cannot use 5 divided by 5 because it will equal 1 so we ignore that and go to 95 divided by 5 = 19. Therefore, 19 is your answer!!! (Hope this helped)

Answer:

A= 113.1 (I rounded my answer)

Step-by-step explanation:

A=πr^2=π·6^2=113.09734

Answer:

None of the Above

Step-by-step explanation:

Key Skills required are: One Variable Equations, Supplementary Angle Pairs, Substitution, and Triangles.

1) To find the measure of Angle C, we first need to find the measure of angle DBC and Angle D.

2) We are given that Angle EBA is x and Angle EBD is 4x+13 and Angle D is 3x + 9 (we will use Angle D later in the problem)

3) Now, we need to use the fact that Angle EBA and Angle EBD are supplementary (they form a linear pair, so they are supplementary).

A pair of supplementary angles add up to  180 degrees (as they form a straight angle).

4) x + 4x + 13 = 180

5) Combine like terms --> 5x + 13 = 180

6) Move 13 to the other side --> 5x = 167

7) Divide by 5 and solve for x: x= 33.4

8) Now we got that x is 33.4, we can get the measure of angle DBC and Angle D.

9) Angle DBC is congruent to Angle EBA. So to find the measure of DBC we need to find the measure of Angle EBA. EBA is just x, so it is 33.4 degrees

10) Therefore, Angle DBC also measures 33.4 degrees.

11) To find angle D, we substitute x into 3x + 9 (We are given angle D is 3x + 9 based on the problem)

12) 3(33.4) + 9 = 100.2 + 9 = 109.2

13) Now we use the interior angles sum of a triangle to find Angle C.

The interior angles of a triangle sum up to 180 degrees.

14) With the statement above we can make this equation: 109.2 + 33.4 + Angle C = 180

15) Simplify by combining like terms: 142.6 + Angle C = 180

16) 37.4 degrees would be the measure of C, so I feel it would be none of the above.

Hope you understood and have a nice day!! :D

Answer:

(1). x = 14 ; (2). 70°

Step-by-step explanation:

(1). m∠ACD = m∠A + m∠B

6x + 2 = (2x + 1) + (3x + 15)

6x - 5x = 14

x = 14

(2). m∠ABC = 180° - m∠CBD = 140°

m∠A = m∠C = 140° ÷ 2 = 70°

Answer:

3

Step-by-step explanation:

6/8 is equal to 3/4.

3/4 divided by 1/4 is 3

Answer:

1.61

Step-by-step explanation:

Just subtract 4.7 by 3.09

Answer:

c = x mi d= x mi

Step-by-step explanation:

Answer:

45 and 14 are the correct answer

Answer:

52 7/8 pounds

Step-by-step explanation:

Find the smaller dog's weight by multiplying the larger dog's weight by 0.75:

70.5(0.75)

= 52.875 or 52 7/8 pounds

So, the smaller dog weighs 52 7/8 pounds

The required weight of the smaller dog is 52.875 pounds.

Given that,
Doug has two German Shepherds. The larger dog weighs 70 1/2 pounds. If the smaller dog weighs 75% as much as the larger dog, To find the smaller dog's weight.

In mathematics, it deals with numbers of operations according to the statements.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Let the weight of the smaller dog be x,
The weight of the smaller dog is 75% of the larger dog
x = 75% of 70 1/2
x = 0.75 * 70.5
x = 52.875

Thus, the required weight of the smaller dog is 52.875 pounds.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

option B

Step-by-step explanation:

let the height=x

base=x

Area=½bh

72=½x•x

72×2=x²

144=x²

x=√144=12

Answer:

12

Step-by-step explanation:

12 x 12= 144

144/2= 72

9514 1404 393

Answer:

  D.  a ║ b

Step-by-step explanation:

If we figure the other angle of each linear pair, we can directly compare angles to see if corresponding angles are the same. Where they are the same, the lines are parallel.

  Line a is parallel to line b.

Answer:

$97.2

Step-by-step explanation:=Given

The expression p + 0.08p

where P= the initial price

let y be the total cost, so that

y=p + 0.08p

for p=$90

y=90+0.08*90

y=90+7.2

y=$97.2

Hence the total cost for a $90 price is $97.2

Answer:

16 coins

Step-by-step explanation:

At first: 4 coins

First hour: 4 x 2 = 8

Second hour: 8 x 2 = 16

Total coins: 16 coins

Answer:

Rotate the image by 90 degrees (left) Rotate the image by 180 degrees (upside down) Rotate the image by 270 degrees (right) Rotate the image by 360 degrees (original position) Rotate the image by 90 degrees. Rotating the image by 90 degrees would flip the image to the left side.

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

If m=6, -5 times 6 is -30. -2 times -2 is 4.

-30 plus 4 is 26.

Answer:

113.04 [tex]m^{2}[/tex]

Step-by-step explanation:

Area of a circle is π x [tex]r^{2}[/tex].

I'm assuming that you're using 3.14 as π.

Since the radius of the circle is 6 m, all you need to do is plug it in!

Area = 3.14 × [tex](6)^{2}[/tex]

Area = 3.14 × 36

Area = 113.04 [tex]m^{2}[/tex], which is the third answer choice.

Answer:8

Step-by-step explanation: negative times negative =positive

and times 8/5 by 5/1  .

When multiplying fractions, simply multiply the numerators together and multiply the denominators together.

-8 * -5 = 40

5 * 1 = 5

-8/5 * -5/1 = 40/5

40/5 = 8

For x = 4

7 x 4 + 49 = 77

Answer Is 77

Answer:

Step-by-step explanation:

Here yo go mate'

step 1

7x +49  equation

step 2

7x +49  simplify

7(x+7)

answer

7(x+7)