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Dima020 [189]
3 years ago
13

25 more than a number is 32​

Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0
That is very true good job learning
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An object is launched at 19.6 m/s from a height of 58.8 m. The equation for the height (h) in terms of time (t) is given by h(t)
beks73 [17]
H(t) = Ho +Vot - gt^2/2

Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2

H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2

Maximun height is at the vertex of the parabole

To find the vertex, first find the roots.

58.8 + 19.6t - 4.9t^2 = 0

Divide by 4.9

12 + 4t - t^2 = 0

Change sign and reorder

t^2 - 4t -12 = 0 

Factor

(t - 6)(t + 2) =0 ==> t = 6 and t = -2.

The vertex is in the mid point between both roots

Find H(t) for: t = [6 - 2]/2 =4/2 = 2

 Find H(t) for t = 2

H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4

Answer: the maximum height is 78.4 m
5 0
3 years ago
The price of a fan is $15. This price is 27% lower than last week.
Goshia [24]

The price of fan was 20 Dollars 55 cents last week.

Step-by-step explanation:

Let,

The price last week = x

As the price is 27% lower than last week, therefore

(100%-27%) * Price last week = $15

73% * x = 15

Solving the percentage;

\frac{73}{100}*x=15\\ Multiplying\ both\ sides\ by\ 100\\100*\frac{73x}{100} = 15*100\\73x=1500\\Dividing\ both\ sides\ by\ 73\\\frac{73x}{73} = \frac{1500}{73} \\x= 20.55

The price of fan was 20 Dollars 55 cents last week.

Keywords: Percentage, multiplication.

Learn more about percentages at:

  • brainly.com/question/2140933
  • brainly.com/question/2142762

#LearnwithBrainly

5 0
3 years ago
40 POINTS Geometry homework
kicyunya [14]

\angle{DBC   }=(5x+4)°

\angle{ A  }=(2x-2)°

\angle{C   }=(4x-6)°

we know that,

\angle{DBC}=\angle{A}+\angle{C}

According to the question,

\tt{ 5x+4=2x-2+4x-6  }

\tt{ 5x+4=6x-8  }

\tt{ 6x-5x=4+8  }

\blue{x=12   }

so,

\angle{C }=(4x-6)°=(4×12-6)°=(48-6)°=42°

6 0
2 years ago
Given the function f(x) = x2 and k = 2, which of the following represents a horizontal shift?
melamori03 [73]
A horizontal shift would be in the form <span><span>f(x±k)</span></span>
6 0
3 years ago
Read 2 more answers
Find the area of the shaded region.
kolbaska11 [484]

Answer:

\boxed{ \tt\longrightarrow \: Area \:  Of  \: Shaded \:  region  \: =\boxed{ \tt 39  \: in²}}

Step-by-step explanation:

<u>Given:</u>

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

<em>And,</em>

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

<u>To Find</u>:

The Area of Shaded region

<u>Solution:</u>

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

\boxed{\tt \longrightarrow Area  = (Parallelogram  - Rectangle)}

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

\tt\longrightarrow \: Area =B×h-l×b

Put their values accordingly:

\longrightarrow  \tt Area = (12 \times 7 - 9 \times 5)in {}^{2}

<u>Simplify it.</u>

<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>

\tt\longrightarrow \: Area = (84 - 45 ) in {}^{2}

\tt\longrightarrow \: Area = 39 \:  {in}^{2}

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

\rule{225pt}{2pt}

I hope this helps!

8 0
2 years ago
Read 2 more answers
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