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EleoNora [17]
3 years ago
9

Ming throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Ming thre

w it, is modeled by: h(x)=-5(x-1)^2+45h(x)=?5(x?1) 2 +45h, left parenthesis, x, right parenthesis, equals, minus, 5, left parenthesis, x, minus, 1, right parenthesis, start superscript, 2, end superscript, plus, 45 What is the maximum height that the stone will reach?
Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Answer:

45 m

Step-by-step explanation:

<h3>Given</h3>

<u>Function to produce the stone's height</u>

  • h(x)= -5(x-1)^2+45

Maximum value the given function can get is at (x - 1) = 0 ⇒ x = 1

because the  -5(x - 1)² can get maximum  value of zero as the square of any number is zero or positive

<u>So maximum height is </u>

  • h(-1) = 45 m
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In triangle ABC, line A.B.=CB Angle ABC equals 4X -3, and angle CAB equals X -3, what is angle ACB
Soloha48 [4]

Answer:

∠ACB = 28.5

Step-by-step explanation:

In triangle ABC,

angle CAB = x-3

angle ABC = 4X-3

It is also given that AB=CB

We know that if two sides of any triangle are equal then corresponding sides must also be equal.

Hence

angle ACB = angle CAB

angle ACB = x-3    {Given that angle CAB = x-3 }

We know that sum of all three angles of a triangle is 180 degree so let's add given angles

angle ACB + angle CAB + angle ABC = 180

(x-3) + (x-3) + (4x-3) = 180

x-3 + x-3 + 4x-3 = 180

6x-9 = 180

6x = 180+9

6x = 189

x = 189/9

x= 31.5

Now plug value of x into

angle ACB = x-3 = 31.5-3 = 28.5

Hence final answer is

∠ACB = 28.5


3 0
3 years ago
Evaluate each expression if a = 4.1, b = 5.7, and c=0.3.<br> 4. a+b-c <br> 5. 10-(a+b)<br> 6. B- c+2
posledela

Answer:

  • a+b-c = 9.5
  • 10-(a+b) = 0.2
  • b-c+2 = 7.4

Step-by-step explanation:

4)

Given the expression

a+b-c

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

a+b-c = 4.1+5.7-0.3

          =  9.8 - 0.3

          = 9.5

5)

Given the expression

10-(a+b)

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

10-(a+b) = 10 - (4.1+5.7)

              = 10 - 9.8

              = 0.2

6)

Given the expression

b-c+2

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

b-c+2 = 5.7 - 0.3 +2

          = 5.4 + 2

           = 7.4

7 0
3 years ago
The length of a rectangle is 12 in and the perimeter is 56 what us the width of the rectangle
Aleks [24]
Hi there!

We can find the perimeter of a rectangle by using the following formula:

perimeter = 2 × width + 2 × length

In the question, we are given the following data: the length of the rectangle is 12 in and the perimeter is 56. Let's substitute this into our formula!

56 = 2 × width + 2 × 12
Multiply first.

56 = 2 × width + 24
Now subtract 24 from both sides.

32 = 2 × width
And finally, to find the width of the rectangle, divide both sides of the equation by 2.

16 = width
(we can eventually switch sides in the equation).

width = 16
~ Hope this helps you!
3 0
3 years ago
Can someone help me with this?
Elena L [17]
A. Robert purchased a 36-inch piece of wood
3 0
3 years ago
The expression 3 × n can be written without the multiplication sign as 3n. For each expression in parts (a)–(c), Use n = 1, 2, 3
baherus [9]
You can because you already know the number is 3 and the blank number is n
7 0
3 years ago
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