A carnival attraction tests your strength by how far in the air you can drive a weight with a hammer. If the weight reaches 15 feet, you win a prize. The equation h = -16t 2+ 31t + 2 gives the height, in feet, and time, in seconds of the weight after it is hit.
a. How long is the weight in the air?
b. What was the weight’s maximum height?
c. Did you win a prize? Why or why not?

Answer:

its b

Step-by-step explanation:

The requried dimensions of the rectangle are 10 by 4. Option B is correct.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
To solve the problem, we can use the formula for the area of a rectangle, which is:

area = length x width

We also know that the length is 6 units greater than the width, which we can express as:

length = width + 6

We can substitute this expression for length into the formula for area, giving us:

area = (width + 6) x width

area = width² + 6width

We are given that the area is 40 square units, so we can set up the equation:

40 = width² + 6width

We can rearrange this equation into the standard quadratic form:

width² + 6width - 40 = 0

We can then use the quadratic formula to solve for the width:

width = (-b ± √(b² - 4ac)) / 2a

Plugging in the values of a, b, and c from the quadratic equation above, we get:

width = (-6 ± √(6² - 4(1)(-40))) / 2(1)

width = (-6 ± √(196)) / 2

width = (-6 ± 14) / 2

So we have two possible values for the width:

width = (-6 + 14) / 2 = 4

or

width = (-6 - 14) / 2 = -10

Since the width cannot be negative, we can reject the second solution. Therefore, the width of the rectangle is 5 units.

We can use the expression for the length in terms of the width to find the length:

length = width + 6 = 4 + 6 = 10

Therefore, the dimensions of the rectangle are 10 by 4.

Learn more about rectangles here:

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Answer:

42.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you add both top and bottom which is 17 then divide 17 ÷2 which is 8.5 and then multiply by 5 which gives you 42.5 m

Answer:

i dont know the answer sry

Step-by-step explanation:

srryyy

Answer:

hope it helps you...

The points of the graph are (10,15)(20,25)(5,5)

Step-by-step explanation:

Answer:

66.7333

Step-by-step explanation:

if 120 =80.08 what about 100

100×80.08÷120

=66.733

Answer:

-70 degrees

Step-by-step explanation:

What you need to do is subtract 10 from -58 to find the difference;

-58-12 = -70 degrees

So, for the area of a circle, there should be a line in the middle. Correct?

Well, that line is the diameter. Then cut that in half, so if the diameter is 6, the radius is 3.

Then multiply the the radius by the radius, so 3x3 once you get that, multiply the answer by pi. Pi= 3.14, so if you do 3x3x3.14 you should get 28.26. Hope this helps.

Answer:

A

Step-by-step explanation:

Answer:

[tex]2=\frac{2}{1}= \frac{4}{2} =\frac{6}{3}=\frac{8}{4}=\frac{10}{5}[/tex]

Step-by-step explanation:

Answer

1-right

2-not a triangle

3-acute

4-obtuse

5-right

6-obtuse

7-acute

Step-by-step explanation:

Answer:

-81,-294

Step-by-step explanation:

-36-27-18

=-81

-117-98-79

=-294

please mark as brainliest

Answer:

148.8 cm

Step-by-step explanation:

Length * width * height = volume

9.3 * 4 * 4 = 148.8

Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object.

Answer:

the approximate area of corcle is 3848

[tex]diameter = 70in \\ radius = \frac{70}{2} \\ = 35in \\ area = \pi \: r {}^{2} \\ = \pi \: 35 {}^{2} \\ = 3848.45in {}^{2} [/tex]

Answer:

c = 9.4m is the answer

Step-by-step explanation:

a (length of the telephone pole) = 9m

b (distance between the pigeon and the pole) = 3m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

9² + 3² = c²

81 + 9 = c²

c² = 90

c = 9.4m

∴ the pigeon will fly 9.4m

Answer:

aeafscgefgdderhgdthdg

Answer:

50% of the employees work part time.

Step-by-step explanation:

11/22=0.5

0.5 *100=50

Answer:

Step-by-step explanation:

Correct choice is C

Answer:

Expression Derivatives

y = tan-1(x / a) dy/dx = a / (a2 + x2)

y = cot-1(x / a) dy/dx = - a / (a2 + x2)

y = sec-1(x / a) dy/dx = a / (x (x2 - a2)1/2)

y = cosec-1(x / a) dy/dx = - a / (x (x2 - a2)1/2)

Answer:

its actually 65

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

7)Bagel costs $3.5 and muffin cost $1.25

8) Ticket is $9 while snacks are $2

9) Correct because left hand side is zero

10) Correct because they both have same slope and same y-intercept

Step-by-step explanation:

7) Let bagel be x and muffin be y.

Thus;

For Aaron;

x + 3y = 7.25 - - - (1)

For bee;

x + 2y = 6 - - - (2)

Subtract eq 2 from eq 1 to get;

y = 1.25

Put 1.25 for y in eq 2;

x + 2(1.25) = 6

x + 2.5 = 6

x = 6 - 2.5

x = 3.5

Bagel costs $3.5 and muffin cost $1.25

8) Let movie ticket be x and snacks be y.

Thus;

2x + 3y = 24 - - - (1)

3x + 4y = 35 - - - (2)

Multiply eq(1) by 3 and eq(2) by 2 to get;

6x + 9y = 72 - - - (3)

6x + 8y = 70 - - - (4)

Subtract eq 4 from eq 3 to get;

y = 2

Put 2 for y in eq 3;

6x + 9(2) = 72

6x + 18 = 72

6x = 72 - 18

6x = 54

x = 54/6

x = 9

Ticket is $9 while snacks are $2

9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.

Thus, no solution exists because we can't isolate the variable to get an answer.

10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.

In this case, their y-intercept which is when x is 0 is;

3(0) + y = 9

y = 9

Their slope is also the same equal to 3.

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

Answer: 17.6 minutes

Step-by-step explanation: im not sure if u can use decimals tho

Answer:80

Step-by-step explanation:

Answer:

3/5 of the lawn was mowed

Step-by-step explanation:

1/5 + 2/5 = 3/5

Answer:

3/5

Step-by-step explanation:

1/5+2/5=3/5

Answer:

C

Step-by-step explanation:

in exponential equations f(x)=ab^x , a is the intial amount while b is the growth factor. you are just decreasing a so the intial value is lower (=^w^=)

Answer:

Step-by-step explanation:C