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Rom4ik [11]
2 years ago
8

a water balloon is tossed into the air with an upward velocity of 25 ft/s its height h(t) in ft after t seconds is given by the

function h(t) = -16t^2+25t+3 after how many seconds will the balloons hit the ground?
Mathematics
1 answer:
Montano1993 [528]2 years ago
4 0
When the height is 0 that is when it hits the ground
solve
0=-16t²+25x+3
cant factor so use quadratic formula

for
0=ax²+bx+c
x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}

so for
0=-16t²+25t+3
a=-16
b=25
c=3
so

x=\frac{-25+/-\sqrt{25^2-4(-16)(3)}}{2(-16)}
x=\frac{-25+/-\frac{625+192}}{-32}
x=\frac{-25+/-\frac{817}}{-32}
it has to be a positive time

so it will hit the ground after \frac{25+\sqrt{817}}{32} seconds
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miss Akunina [59]

Answer:

15cents.

Step-by-step explanation:

The cost of yogurt is $0.75

20% of this amount is the profit to the company

Profit = \frac{20}{100} * 0.75

          = $0.15

So the profit to the company is 15cents.

7 0
2 years ago
What is the value of a?
Luda [366]

Answer:

a = 62

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

a + 47+71 = 180

Combine like terms

a +118 = 180

Subtract 118 from each side

a+118-118=180-118

a =62

7 0
3 years ago
2.6-,2.061,2.601,2.34,2.7 order the following from least to greatest
kondaur [170]

Answer:

2.061, 2.34, 2.6, 2.601, 2.7

Step-by-step explanation:

Hello!

This is a bit hard to explain! If you want me to try, just comment.

I have arranged the sequence in ascending order below:

2.061,\:2.34,\:2.6,\:2.601,\:2.7.

Hope this helps!

4 0
2 years ago
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Soybean meal is 18% protein. How many pounds each should be mixed together in order to get 360-lb mixture that is 17% protein?
konstantin123 [22]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

<u>Solution:</u>

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

<em><u>The total area of pyramid is given by:</u></em>

A=A_{b}+A_{l}   ---- eqn 1

Where,

A_{b} \text { is the base area and } A_{l} \text { is the lateral area }

<em><u>The area of base is given as:</u></em>

A_{b}=\frac{3 \sqrt{3}}{2} l^{2}

Where "l" is the side of hexagon.

Substituting we get,

\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}

<em><u>The lateral area is given as:</u></em>

A_{l}=3 b h

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}

Plugging in the values we found in eqn 1 we get,

A=24 \sqrt{3}+72

A = 113.569 square units

<em><u>Summarizing the results:</u></em>

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

8 0
3 years ago
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